Please help with this Algebra 1 math problem:

A system of equations is shown below:

3x - y = 2
x + y = 6

The x-coordinate of the solution to this system of equations is _____.,

Answers

Answer 1
2................................................................
Answer 2
3x - y = 2

x + y = 6


This system is already in a nice form to do the elimination method on the y variable.

We simply add vertically.


4x = 8.


x = 2. The x-coordinate of the solution is 2.


We can plug the value in to find y if needed.

2 + y = 6.

y = 4.


Related Questions

50 POINTS PLZZZZZ HELP NOW I NEED FULL EXPLANATION AND RIGHT ANSWERS

IF the area of the frame was 64inches², what would be 2 possible sets of dimensions that could be used to make a frame with that area?

Answers

The side lengths could be 4 in. x 16 in. because that equals 64 inches^2. It could also be 8 in. x 8 in. because that also equals 64 inches^2.
Hello!

We know that the area of the frame is 64 inches^2. Let's list the factors of 64. They are:

1, 2, 4, 8, 16, 32, and 64.

There are many possible sets of dimensions.

The dimensions could be 1 in × 64 in, 2 in × 32 in, 4 in × 16 in, or 8 in × 8 in.

If the frame is shaped like a rectangle, then the first three sets of dimensions would be possible.
If it is a square, then the last (8 × 8) are possible.

The following polynomials can be factored using the techniques of this lesson. x^2-36

Answers

the correct answer to that question would be true

Answer:

true

Step-by-step explanation:

A P E X

How do I solve this

Answers

Hi there!

Since the complementary angle adds up to 90 degrees, we would add 55° and (3x + 8)° and set it equal to 90°.

55° + (3x + 8)° = 90°

Now, to find x, we simplify.

63 + 3x = 90
3x = 27
x = 9

So, x is 9 degrees.

Hope this helps!

your primary jobs gross income is 3468.73/month deductions are fica (7.65%) federal tax witholding (11.5%) and state tax withholding (7.8%) how much are your ficed expenses if they are 36% of your relized income

Answers

sierah907 Your primary job’s gross income is $3,468.73/month. Deductions are FICA (7.65%), federal tax withholding (11.5%), and state tax withholding (7.8%). How much are your fixed expenses if they are 36% of your realized income?


$1,388.65


$814.92


$912.21


$1,068.57





To get your realized income you: add your deductions which equals to a total of 26.95%. 

Then you subtract that amount  from your gross income. 
(3468.72 - 26.95% = 2533.91) 

 After that you need to find what 36% of your realized income equals to: 

and it equals to, 912.20. 

Therefore, your answer is C.




Answer 2: 

our deductions are 7.65% , 11.5% and 7.8% . Total 26.95% .

So deduct that from your Gross . $3468.73 - 26.95% leaves you with $ 2533.91.
That's your Realized Income . $2533.91 .

So you need to find 36% of that . It's $912.20.

And that is your answer . Your fixed expenses are $ 912.20 .

Answer:

$912.21

Step-by-step explanation:

Your primary jobs gross income = $3468.73

All deductions 7.65% (fica) + 11.5% (federal) + 7.8% (state tax) = 26.95%

Income after deductions = 3468.73 - ( 26.95% × 3468.73 )

                                         = 3468.73 - (0.2695 × 3468.73)

                                         = 3468.73 - 934.82

                                         = $2,533.91

Fixed expenses on your realized income = 36%

Fixed expenses = 36% × 2,533.91

                          = 0.36 × 2,533.91

                          = $912.2076 ≈ $912.21

Fixed expenses are $912.21

The cost of removing x percent of pollutants is expressed by the function , where C is in thousands of dollars. Which conclusion can be derived from this statement?
a)The cost of removing 40 percent of the pollutants is $120,000.
b)The cost of removing 80 percent of the pollutants is $960,000.
c)The vertical asymptote lies at x = 0.
d)The vertical asymptote lies at x = 240.

Answers

the vertical asymptote lies at x=240

Can someone please help me with this question?! (geometry)

Answers

Answer:

  see below

Step-by-step explanation:

The arc length (s) can be found in terms of angle (θ) and radius (r) as ...

  s = rθ

Dividing by r gives ...

  s/r = θ

Since the angles are the same for the two circles, the ratios of interest are ...

  [tex]\dfrac{s_1}{r_1}=\dfrac{s_2}{r_2}=\theta [/tex]

Given an exponential function for compounding interest, A(x) = P(1.04)x, what is the rate of change?

A. 0.04%
B. 1.04%
C. 104%
D. 4%

Answers

The given expression is

[tex] A(x) = P(1.04)^x [/tex]

Which can also be written as

[tex] A(x) = P(1+0.04)^x [/tex]

And the formula of compound interest is

[tex] A(x) = P(1+r)^x [/tex]

On comparing, we will get rate of change equals to 0.04 or 4 %.

So the correct option is the last option .

The limit as h approaches 0 of (e^(2+h)-e^2)/h = ?
The answer is e^2; please explain how to get that?

Answers

First, separate the exponents of the first exponential:

[tex] \lim_{h \to 0} \frac{e^{2} e^{h} - e^{2} }{h} [/tex]

Regroup e² on the numerator:
[tex] \lim_{h \to 0} \frac{ e^{2} (e^{h} - 1) }{h} [/tex]

e² is now a constant that can be brought outside the limit:

[tex] e^{2} \lim_{h \to 0} \frac{ e^{h} - 1}{h} [/tex]

This limit is a notable one, and we know it is equal to 1,

therefore:

e² · 1 = e²



Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 4 classical songs,3 rock songs,and 2 rap songs on it.Chen is going to listen to 360 songs.What is the best prediction for the number of classical songs that Chen will listen to?

Answers

about 10 songs because if you add up all ten numbers of all the songs then you divide, then you divide again you will get 10 songs

Sally has completed 1/3 of her shift; Jerry has completed 5/6 of his shift; David has finished 1/2 of his shift; Mona has 7/8 of her shift remaining. Out of the four employees, Who has completed the most work time?

Answers

Jerry completed the most work time.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Sally has completed 1/3 of her shift.

Jerry has completed 5/6 of his shift.

David has finished 1/2 of his shift.

Mona has 7/8 of her shift remaining.

Now,

Since, Mona has 7/8 of her shift remaining.

Hence, The time for Mona = 1 - 7/8

                                          = 1/8

We make all the denominator equal by taking LCM of 3, 6, 2, 8.

Thus, LCM of [3, 6, 2, 8] = 24

Hence, Sally has completed 8/24 of her shift.

Jerry has completed 20/24 of his shift.

David has finished 12/24 of his shift.

Mona has completed 3/24 of his shift.

Clearly, Jerry completed the most work time.

Thus, Jerry completed the most work time.

Learn more about the fraction visit:

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HELP PLEASE!!
Which is greater, the total volume of three spheres, each of which has a diameter 3 in., the volume of one sphere that has a diameter 8 in., or the volume of a hemisphere with a diameter of 9 in.?
a) The volume of three spheres, each with a diameter of 3 inches, is greater.
b) The volume of one sphere with a diameter of 8 inches is greater.
c) The volume of the hemisphere with a diameter of 9 in. is greater.
d) The two volumes are the same.,

Answers

Volume of the Sphere V = 4/3pi x r^3 So when diameter d = 3 inches => r = 1.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 1.5^3 = 14.14 in So when diameter d = 8 inches => r = 4 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4^3 = 268.03 in So when diameter d = 9 inches => r = 4.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4.5^3 = 381.63 in value for option (a) is 3 x 14.14 = 42.42 inches value for option (b) is 268.03 inches value for option (c) is 381.63 / 2 = 190.815 inches So the correct option would be (b)

Answer:

Step-by-step explanation:

Answer:

Here is my answers for the practice that I have come across. It may be the new one. I also shortened it.

1. find the SA of a grape fruit with a c of 14cm.

62 cm^2

2. a sphere has a volume of 900 ci. find SA

451

3. a solid metal cube with an edge length of 9 in is melted and reshaped into a sphere. which is SA of sphere

391.7

4. the sphere below fits snugly inside a cube with 6 in edges what is the v of the space between the sphere and the cube

102.9

5. find the v in terms of pi of a sphere with a SA of 9 pi square feet

9/2 pi ft^3

6. which of the following is the greatest the total v of 3 sphere each of which a diameter of 5 in the v of one sphere that has a diameter 8 in or the v of a hemisphere with a diameter of 10 in

the v of 1 sphere with a diameter of 8 in is greatest

7. a sphere has center  0 0 0 and a radius of 5

0 -3 4

8. find v of figure the diameter of the base is 4 cm

46/3 pi cm^3

9. a sphere with a radius of 5 cm fits inside a box every face is tangent to the sphere

6 pi

10. tennis balls are sold in packs of 3 and come packaged in a plastic cylindrical container there is no space between

69 square inches

Step-by-step explanation:

A right angle has an acute angle that measures 42°. what are th measures of the other angles.´?

Answers

Right angle = 90°

Unknown angle = 180 - 90 - 42 = 48°

---------------------------------------------------------------------------------
Answer: The other angle measures 48°
---------------------------------------------------------------------------------

I need some help
A student answers all 48 questions on a multiple-choice test by guessing. Each question has four possible answers, only one of which is correct. Find the probability that the student gets exactly 15 correct answers. Use the normal distribution to aproximate the binomial distribution.

I used BinomCdf(48,.25,15) and get 0.0767 but that isn't one of the choices. The choices are
0.7967
0.0606
0.0823
0.8577,

Answers

The probability that the student gets exactly 15 correct answers is  0.0823

How to determine the probability?

The given parameters are:

Sample size, n = 48Correct answers, x = 15Probability of right an answer, p = 0.25 i.e. 1 of 4 options is correct

Start by calculating the mean

[tex]\bar x = np[/tex]

[tex]\bar x = 48 * 0.25[/tex]

[tex]\bar x = 12[/tex]

Calculate the standard deviation

[tex]\sigma = \sqrt{np(1 -p)}[/tex]

[tex]\sigma = \sqrt{12 * (1 -0.25)}[/tex]

[tex]\sigma = 3[/tex]

To get exactly 15,we make use of the range 14.5 to 15.5.

So, we calculate the z scores at these values using:

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

This gives

[tex]z = \frac{14.5 - 12}{3} = 0.83[/tex]

[tex]z = \frac{15.5 - 12}{3} = 1.17[/tex]

The probability is then calculated using

P(14.5 < x < 15.5) = p(0.83 < z < 1.17)

This gives

P(14.5 < x < 15.5) = 0.082269

Approximate

P(14.5 < x < 15.5) = 0.0823

Hence, the probability that the student gets exactly 15 correct answers is  0.0823

Read more about normal distribution at:

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How to solve for the third side of an isosceles triangle?

Answers

you can easily solve third side of isosceles triangle by using formula:- 4(l-h)(l+h) where l is length of same sides and h is height of triangle

Just need an answer

Answers

I believe it is: n > -4.

Hope this helps!
The answer is n < -4 on MathHelps. Good luck.

NEED HELP ASAP!!!

What is the value of x?

/Users/mikaylee/Desktop/8104613-NG_IMC_SemB_09_UT_01.png

Answers

◆ Lines n Angles ◆

Hey !!

Check the attachment.
Hope it helps you :)

For which of the following displays of data is it not possible to find the mean?(Expert and Ace only please)

frequency table
line plot
stem-and-leaf plot
histogram

Answers

Answer:

The histogram

Step-by-step explanation:


It is difficult to find mean of a histogram

What is Histogram ?

It is a chart that help in visualize the distribution of values in a dataset.

It is difficult to find mean just by looking at the data of the histogram

Hence , d) Histogram is the answer

Learn more about Histogram :

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The bar graph shows the z-score results of four employees for two different work weeks.

Which employee had the least earnings for Week 1?



Usan

Percy

Oberto

Michael

Answers

We observe that week 1 is represented by the color blue.
 Therefore, you should check the bars in blue for the four employees.
We observe that the smallest z-cores is -0.5.
 Therefore, Oberto has the lowest earnings for week 1.
 Answer: 
 Oberto had the least earnings for Week 1

what is the range of y=3cosx-1?
a) -4 ≤ x ≤ 4
b) -4 ≤ x ≤ 2
c) -3 ≤ x ≤ 3
d) -2 ≤ x ≤ 0

Answers

 For this case we have the following equation:
 [tex]y = 3cosx-1 [/tex]
 We must find the maximum and minimum values of the equation to find the range. 
 We have then:
 For x = 0
 [tex]y = 3cos (0) -1 y = 3 (1) -1 y = 3-1 y = 2[/tex]
 For x = pi
 [tex]y = 3cos ( \pi ) -1 y = 3 (-1) -1 y = -3-1 y = -4[/tex]
 The range of the function is given by:
 [-4, 2]
 Equivalently,
 -4 ≤ x ≤ 2
 Answer:
 b) -4 ≤ x ≤ 2

Answer:  The correct option is (b) [tex]-4\leq y\leq 2.[/tex]

Step-by-step explanation:  We are given to select the correct range of the following function

[tex]y=3\cos x-1.[/tex]

We know that the range of the cosine function is from - 1 to 1.

That is,

[tex]-1\leq \cos x\leq 1\\\\\Rightarrow -(1)\times 3\leq 3\times \cos x\leq 3\times 1\\\\\Rightarrow -3\leq 3\cos x\leq 3\\\\\Rightarrow -3-1\leq 3\cos x-1\leq 3-1\\\\\Rightarrow -4\leq 3\cos x-1\leq 2\\\\\Rightarrow -4\leq y\leq 2.[/tex]

Thus, the range of the given function is [tex]-4\leq y\leq 2.[/tex]

Option (b) is CORRECT.

15.5 ft + 1.25 ft + 13.5 ft=

Answers

Adding all these numbers together, you should get 30.25 ft.
30.25ft. First you add the whole numbers then you add the decimals.

1. The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds.

2. How many seconds are required for the pendulum to swing from its position furthest to the right to its position furthest to the left?

3. How many degrees is the painted spot turning in 0.75 s?
Enter your answer in the box.

4. What is the average daily maximum temperature in March?
Round to the nearest tenth of a degree if needed.
Use 3.14 for π .
Enter your answer in the box

5. What is the greatest temperature the substance reached during the experiment?
Round to the nearest tenth of a degree if needed.
Use 3.14 for π .
Enter your answer in the box.


Answers

Problem 1

Answer: 6

-------------------------

At time 1.5s the height is 0 which is the resting position. The next time the height is 0 is when t = 4.5 which is a difference of 3 seconds (4.5 - 1.5 = 3). Double this to get 3*2 = 6

===============================================

Problem 2

Answer: 1.25

-------------------------

Notice how the period of this graph is 2.5 seconds. It takes 2.5 seconds for the up and down pattern to repeat fully again. The easiest way to see this is from x = 0 to x = 2.5 the down and then up pattern does one full cycle, only to repeat again from x = 2.5 to x = 5, and so on. 

Half of this cycle is the length of time it takes for the particle to go from the peak to the valley, or vice versa. Half of 2.5 is 1.25 (2.5/2 = 1.25). Why is it half? Because a full cycle takes place from one valley to the next neighboring valley. The same happens with the peaks as well. 

===============================================

Problem 3

Answer: 180 degrees

-------------------------

A full cycle takes 1.5 seconds, which consists of the wheel rotating 360 degrees (a full revolution)
Half a cycle is 1.5/2 = 0.75 seconds which is half a revolution 360/2 = 180 degrees

===============================================

Problem 4

Answer: 61

-------------------------

We plug in x = 2 since x = 0 corresponds to january, x = 1 corresponds to february, and so on

f(x) = 12.2*cos(pi*x/6) + 54.9
f(2) = 12.2*cos(pi*2/6) + 54.9
f(2) = 12.2*cos(3.14*2/6) + 54.9
f(2) = 12.2*cos(3.14/3) + 54.9
f(2) = 12.2*cos(1.04666666666667) + 54.9
f(2) = 12.2*0.5004596890082 + 54.9
f(2) = 6.10560820590003 + 54.9
f(2) = 61.0056082059
f(2) = 61

===============================================

Problem 5

Answer: 38.9

-------------------------

The smallest cos(x) can be is -1. It doesn't matter if its cos(x) or cos(2x) or whatever the argument is. Therefore f(x) maxes out at f(x) = -7.5*(-1)+31.4 = 38.9

How do you write an absolute value equation!? Pls help! 20 points.

Answers

The answer is always positive, unless there’s a negative outside |x|
It can be anything like: I3+4I > 5 or I-3I.

The result of rounding the whole number 72,341 to the nearest hundreds place is:
72,300.
72,000.
70,000.
72,340

Answers

Hi there ,
the answer will be 72,300.
Hope it helps
Nearest hundreds.

72, 341:

7 is in the ten thousands place
2 is in the thousands place
3 is in the hundreds place
4 is in the tens place
1 is in the ones place

To find the hundreds place, look at the place value to the right of it (or tens place in this case).

In the tens case is a 4, which is less than 5, so you round down 
( 5 and greater, round up, 4 and less, round down)

So your answer is 72,300

hope this helps

Solve 5x + 1 = 2x2 + 9x. Which are steps in the process of completing the square used to solve the equation?

ANSWER CHOICES

1 = 2(x2 + 2x)
1 = 2x2 + 4x
2 = 2(x2 + 2x + 1)
3 = 2(x + 1)2
2 = 2(x + 1)2

Answers

Answer:

Choices (1), (2) and (4)

Step-by-step explanation:

5x + 1 = 2x² + 9x

By subtracting 5x form both the sides of the equation.

(5x + 1) - 5x = 2x² + 9x - 5x

1 = 2x² + 4x

1 = 2(x² + 2x)

By adding 2 on both the sides

1 + 2 = 2(x² + 2x) + 2

1 + 2 = 2(x² + 2x + 1)

3 = 2(x² + 2x + 1)

3 = 2(x + 1)²

Therefore, choices (1), (2) and (4) are the steps that have been used to complete the square.

Final answer:

To solve the equation 5x + 1 = 2x^2 + 9x using the method of completing the square, follow these steps: move all terms to one side of the equation, combine like terms, divide all terms by the coefficient of x^2, take half of the coefficient of x, square it, and add it to both sides of the equation, factor the left side of the equation, take the square root of both sides, and solve for x.

Explanation:

To solve the equation 5x + 1 = 2x2 + 9x using the method of completing the square, the following steps are used:

Move all terms to one side of the equation: 2x2 + 9x - 5x - 1 = 0Combine like terms: 2x2 + 4x - 1 = 0Divide all terms by the coefficient of x2: x2 + 2x - 1/2 = 0Take half of the coefficient of x, square it, and add it to both sides of the equation: x2 + 2x + 1 = 1/4Factor the left side of the equation: (x + 1)2 = 1/4Take the square root of both sides: x + 1 = ±1/2Solve for x: x = -1 ± 1/2

There are a total of 18 chairs. If the ratio of the red chairs tobrown chairs is 2 to 4, how many of them are red?

Answers

The end ratio is 3:3 I think do there are 12 red chairs

Answer:Of the 18 chairs, 6 are red

Step-by-step explanation:

Given total no of chairs =18

Ratio of red chairs to brown chairs =2:4=[tex]\frac{2}{4}[/tex]

So there are 6(2+4) parts chair out of which 2 are red and 4 are brown

∴ 6 part equals 18 chairs

1 part equals [tex]\frac{18}{6}[/tex]

=3 chairs

Now 2 part equals 2×3=6

i.e. there are 6 red chairs

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

Hey There!

Simplify the expression. See photo. Answer is B.

Cheers,
Izzy
The Anser is d: 12/cd^-6

Which graph matches this situation

Answers

Well, one way to eliminate the possible options, is to look for the point of the starting mass, which is 8 milligrams. This eliminates graphs A and B, this leaves graphs C and D, knowing the mass is decreasing and not increasing, the correct graph would be D.

We can check this, by taking the mass of the substance and dividing it by 2, the remaining mass of the substance would be 4 mg.










A garage contains a combination of 20 bikes and tricycles. In total, there are 44 wheels. How many bikes and how many tricycles are in the garage.

Answers

Final answer:

The solution explains how to find the number of bikes and tricycles in a garage based on the total number of wheels and the given combination.

Explanation:

The question: A garage contains a combination of 20 bikes and tricycles. There are a total of 44 wheels.

Step-by-step solution:

Let's denote the number of bikes as B and the number of tricycles as T.

Each bike has 2 wheels, so the total number of wheels contributed by the bikes is 2B.

Each tricycle has 3 wheels, so the total number of wheels contributed by the tricycles is 3T.

Given that the total number of wheels is 44, we can form the equation: 2B + 3T = 44.

Since there are 20 bikes and tricycles in total, we have the equation: B + T = 20.

Solving the system of equations, we find that there are 12 bikes and 8 tricycles in the garage.

x y
2, 65
4, 74
6, 81
8, 96
10, 109
@directrix
Identify the equation of the least squares regression line that most
closely matches the data set.

yˆ = 0.17x − 13.2
yˆ = 5.5x + 52
yˆ = 3.5x − 6921.2
yˆ = −2.2x + 13.8

Answers

The answer is yˆ = 5.5x + 52 
The closest to this is that equation, you can check it to prove that it is closer than the other options.

Let, yˆ = 5.5x + 52  be the equation

X=2,4,6,8,10
y=?

x1=2
y1=5.5(2) + 52
=63

x2=4
y2=5.5(4) + 52
=74

x3=6
y3=5.5(6) + 52
=85

x4=8
y4=5.5(8) + 52
=96

x5=10
y5=5.5(10) + 52
=107

What do you consider to be the advantages of the numerical values? What do you consider to be the advantages of the visual representations? Which do you prefer working with, and why?

Answers

For these models there are methods such as the perturbation method which can be used to find an approximate analytical solution within a certain range. The advantage here over a numerical solution is that you end up with an equation (instead of just a long list of numbers) which you can gain some insight from.
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(x,y)(x-8,y+4)what is the image of A(2,6)B(-1,5) How many square feet of outdoor carpet will we need for this hole? What metric can be assigned to cluster members to control the balance of traffic between cluster members? Consider a single spin of the spinner. grey 1 white 2 grey 3 white 4Which events are mutually exclusive? Check all that apply. landing on a shaded portion and landing on an even numberlanding on a shaded portion and landing on a number greater than 3 landing on a shaded portion and landing on a 3landing on an unshaded portion and landing on an odd number landing on an unshaded portion and landing on a number less than 2 An explosion causes debris to rise vertically with an initial velocity of 160 feet per second. What is the speed of debris when the height is 300 feet?I am using the formula: -16t^2 + vot + h0 because the question is referring to feet. What is the kinetic energy of a 3000 lb car traveling at 60 mph? 1. Let f(x)=8/1+3e^0.7x. What is the value of f (3)? 2. Let f(x)=20/1+9e^3x. What is the y-intercept of the graph of f(x)? 3. Let f(x)=24/1+3e^1.3x. What are the asymptotes of the graph of f(x)? 4. Let f(x)=15/1+4e^0.2x. What is the point of maximum growth rate for the logistic function f(x)? 5. Let f(x)=24/1+3e^1.3x. Over what interval is the growth rate of the function decreasing? which sentence shows the best placement for the money fire on the ice The bank robbers tried to blank The security cameras by turning the power off in the building Force = mass x accelerationWhat force would be required to accelerate a 40 kg mass by 4 m/s2?160160 N10 N10 A rectangular prism has a length of 312 inches, a width of 312 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches. What is the difference in volume between the prism and the storage container? Enter your answer in the box as a simplified mixed number or a decimal "Yesterday, December 7, 1941a date which will live in infamythe United States of America was suddenly and deliberately attacked by naval and air forces of the Empire of Japan. The United States was at peace with that nation and, at the solicitation of Japan, was still in conversation with its Government and its Emperor looking toward the maintenance of peace in the Pacific. Indeed, one hour after Japanese air squadrons had commenced bombing in Oahu, the Japanese Ambassador to the United States and his colleague delivered to the Secretary of State a formal reply to a recent American message. While this reply stated that it seemed useless to continue the existing diplomatic negotiations, it contained no threat or hint of war or armed attack.It will be recorded that the distance of Hawaii from Japan makes it obvious that the attack was deliberately planned many days or even weeks ago. During the intervening time the Japanese Government has deliberately sought to deceive the United States by false statements and expressions of hope for continued peace.The attack yesterday on the Hawaiian Islands has caused severe damage to American naval and military forces. Very many American lives have been lost. In addition American ships have been reported torpedoed on the high seas between San Francisco and Honolulu.Yesterday the Japanese Government also launched an attack against Malaya. Last night Japanese forces attacked Hong Kong. Last night Japanese forces attacked Guam. Last night Japanese forces attacked the Philippine Islands. Last night the Japanese attacked Wake Island. This morning the Japanese attacked Midway Island.Japan has, therefore, undertaken a surprise offensive extending throughout the Pacific area. The facts of yesterday speak for themselves. The people of the United States have already formed their opinions and well understand the implications to the very life and safety of our nation.As Commander-in-Chief of the Army and Navy, I have directed that all measures be taken for our defense.Always will we remember the character of the onslaught against us. No matter how long it may take us to overcome this premeditated invasion, the American people in their righteous might will win through to absolute victory.I believe I interpret the will of the Congress and of the people when I assert that we will not only defend ourselves to the uttermost but will make very certain that this form of treachery shall never endanger us again.Hostilities exist. There is no blinking at the fact that our people, our territory and our interests are in grave danger.With confidence in our armed forceswith the unbounded determination of our peoplewe will gain the inevitable triumphso help us God.I ask that the Congress declare that since the unprovoked and dastardly attack by Japan on Sunday, December seventh, a state of war has existed between the United States and the Japanese Empire."Read this line from the text:There is no blinking at the fact that our people, our territory and our interests are in grave danger.Which of the following best characterizes the phrase no blinking at the fact? The speaker feels it is not necessary to gather strength and flinch at danger. The speaker feels no time can be lost pondering action with such a threat. The speaker wants time to build a defense before facing the threat. The speaker wants to convey a sense of concern tempered with some boasting.