Answer:
(-0.23,5.77)
Step-by-step explanation:
The given system of equations is
[tex]y = - 34x - 2...(1)[/tex]
[tex]y = x + 6...(2)[/tex]
We equate both equations to get:
[tex]x + 6 = - 34x - 2[/tex]
Group similar terms to get:
[tex]x + 34x = - 2 - 6[/tex]
[tex]35x = - 8[/tex]
[tex]x = - \frac{8}{35} [/tex]
[tex]x \approx - 0.23[/tex]
Put this value into the second equation to get y
[tex]y = - 0.23 + 6 \approx 5.77[/tex]
(-0.23,5.77)
6 times a certain number is added to 8, the result is 32
Which of the following equations could be used to solve the problem?
6x +32
6x5)= 32
6x=8 - 32
6x-8= 32
Answer:
6x + 8 = 32
Step-by-step explanation:
Let the number be= x
So 6 times a certain number is added to 8 which gives the answer 32.
6( x ) + 8 = 32
6x + 8 = 32
Hence this is the equational form.
On further solving we get,
6x = 32 - 8
6x = 24
x = 24 / 6
x = 4....
Answer:
The required equation is 6x+8=32
Step-by-step explanation:
Consider the provided information.
6 times a certain number is added to 8, the result is 32
Let the number is represents by x.
6 times of a number can be written as: 6x
Add 8 to the above expression.
6x+8
The expression is equal to 32.
Thus, the required equation is 6x+8=32
ASAP!! What is the parabola’s line of symmetry?
y-axis
x-axis
x = p
x = -p
Answer:
y-axis
Step-by-step explanation:
..................
Answer:
A) y-axis.
Explanation:
if m<1=40 and m<2=80, what is m<3?
Answer:
60 degrees, 55 degrees, and 50 degrees respectively
Step-by-step explanation:
Equation: m<1+m<2+m<3=180
1. 40+80+x=180 Subtract 120(because 40+80=120)
x=60
2. 50+75+x=180 subtract 125 (50+75=125)
x=55
3. 50+80+x=180 subtract 130 (50+80=130)
x=50
Answer:
50
Step-by-step explanation:
sorry if wrong pls mark brainliest
Name 3 ways that a parabola changes with different types of "a" values.
Answer:
Up down and side to side on the graph
Step-by-step explanation:
If a is 1, since it is positive the parabola moves up. If a is -1, since it is negative the parabola moves down. (not sure about side to side because I can't back that one up but I'm 100% sure about up and down)
When a is between 0 and 1, the parabola gets wider.
What is the parabola?A parabola is a mathematical curve that is defined by a point and a line. The point is known as the focus, and the line is called the directrix. The parabola has the property that all points on it are equidistant from the focus and the directrix.
Here,
When a is negative, the parabola flips 180°.
When |a| is less than 1, the parabola opens wider.
When |a| is greater than 1, the parabola opens more narrow.
When a is between 0 and 1, the parabola gets wider, when it is greater than 1, it gets narrower, and when it is less than 0 it is reflected across the x-axis.
Therefore, when a is between 0 and 1, the parabola gets wider.
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Which expression is equivalent to the expression below?(6c^2+3c/-4c+2)/(2c+1/4c-2)
Answer:
-3c
Step-by-step explanation:
The given expression is:
[tex]\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}}[/tex]
We need to simplify this expression. The rational expression in the denominator can be multiplied to numerator by taking its reciprocal as shown below:
[tex]\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}} \\\\ =\frac{6c^{2}+3c}{-4c+2} \times \frac{4c-2}{2c+1}\\\\=\frac{3c(2c+1)}{-(4c-2)} \times \frac{4c-2}{2c+1}\\\\ =-3c[/tex]
Thus, the given expression in simplified form is equal to -3c
Answer:
-3c
Step-by-step explanation:
We are given that an expression
[tex]\frac{\frac{6c^2+3c}{-4c+2}}{\frac{2c+1}{4c-2}}[/tex]
We have to find an expression which is equal to given expression
Taking common 3c from nominator and -2 from denominator in dividened and 2 common in divisor then we get
[tex]\frac{\frac{3c(2c+1)}{-2(c-2)}}{\frac{2c+1}{2(2c-1)}}[/tex]
[tex]\frac{3c(2c+1)}{-2(2c-1)}\times \frac{2(2c-1)}{(2c+1)}[/tex]
By reciprocal divisor
By canceling same factor
Then ,we get
[tex]\frac{\frac{6c^2+3c}{-4c+2}}{\frac{2c+1}{4c-2}}[/tex]
=-3c
what are the zeros of the function?
f(x)=x^2+7x-60
Answer:
(-12, 0) and (5, 0)
Step-by-step explanation:
f(x) = x² + 7x − 60
Here, a = 1, b = 7, c = -60. Using the AC method, we need to find factors of a×c that add up to b.
12 × -5 = -60
12 + -5 = 7
The factors are 12 and -5.
f(x) = (x + 12) (x − 5)
The zeros are:
x + 12 = 0, x − 5 = 0
x = -12, x = 5
The zeros are (-12, 0) and (5, 0).
[tex]x^2+7x-60 =0\\x^2-5x+12x-60=0\\x(x-5)+12(x-5)=0\\(x+12)(x-5)=0\\x=-12 \vee x=5[/tex]
What is the median of this set of data values? 13 ,14, 17,18, 21, 23, 26, 28
Answer:
20
Step-by-step explanation:
To find the median of this data first add the numbers together then decide by the amount of numbers. So for this problem add 13+14+17+18+21+23+26+28=160 then 160÷8=20
Answer: 19.5
Step-by-step explanation:
A p e x
Please select the best answer.
Answer:
C; The left end goes up; the right end goes down
Step-by-step explanation:
If you expand the function, you end up with a polynomial with a negative coefficient and it has an odd power. According to polynomial behaviors of a function that is odd negative, the graph will rise to the left (y → ∞ and x → -∞) and falls to the right (y → -∞ and x → ∞).
ANSWER
C. The left end goes up; the right end goes down.
EXPLANATION
The given function is
[tex]f(x) = - 2( {x - 2)}^{5} [/tex]
We analyze the end behavior of this function using the leading term.
The leading term of this function is:
[tex] - 2 {x}^{5} [/tex]
Since the degree(5) is odd and the leading coefficient (-2) is negative, the graph rises on the left and falls on the right.
In other words, the left end of the graph goes up and the right end goes down.
The correct option is C.
To convert 5.25 minutes to seconds, you would use the ratio =
seconds, you would use the ratio 1 second
60 minutes
A. True
B. False
The correct option is b). The statement is False, it incorrectly describes the method for converting minutes to seconds.
To convert minutes to seconds, you multiply by 60 because there are 60 seconds in one minute.
So, to convert 5.25 minutes to seconds:
[tex]\[ 5.25 \text{ minutes} \times 60 \text{ seconds/minute} = 315 \text{ seconds} \][/tex]
Therefore, 5.25 minutes is equal to 315 seconds.
Regarding your original question about the statement:
To convert 5.25 minutes to seconds, you would use the ratio [tex]\( \frac{1 \text{ second}}{60 \text{ minutes}} \).[/tex]
This statement suggests using a ratio, which is not correct for converting minutes to seconds. Instead, you should use multiplication by 60 seconds per minute.
An angle measures 3pi/4 radians.
What is this angle's measure, in degrees?
Answer:
135°
Step-by-step explanation:
To convert from radian measure to degree measure
degree measure = radian measure × [tex]\frac{180}{\pi }[/tex], so
degree = [tex]\frac{3\pi }{4}[/tex] × [tex]\frac{180}{\pi }[/tex]
Cancel π on numerator/denominator and 4, 180 by 4, leaving
degree = 3 × 45 = 135°
Answer:
1 radian = 180 / PI degrees
3 PI / 4 radians * 180 / PI the "PI's" cancel and we get
3 / 4 * 180 = 135 degrees
Step-by-step explanation:
108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books,
(ii) the number of such books that have a mass
of 20 kg.
Answer:
The mass of 150 books = 41.7kg
The number of books that have mass 20kg = 72 books
Step-by-step explanation:
(I) Number of identical books = 108
Mass of books = 30 kg
Mass of 150 books = ?
Let the mass of 150 books = x kg
To find the mass of 150 books we will use ratio and proportion:
108 books: 30kg = 150 books: x kg
You can also write it like this because ratio can be written in division:
108/30 = 150/x
By cross multiplication:
108x = 150*30
108 x= 4500
Divide both sides by 108
108 x/108 = 4500/108
x= 41.7
Thus the mass of 150 books = 41.7kg
( ii ) The number of books that have a mass of 20 kg = ?
Let assume that the number of books of mass 20 kg = y books
We will again use ratio and proportion method.
108 books: 30kg = y: 20kg
We can write it as:
108/30 = y/20
By cross multiplication:
108 *20 = 30y
2160= 30y
Divide both the terms by 30
2160/30 = 30y/30
72 = y
Therefore the number of books that have mass 20kg = 72 books ....
If the probability of an event is 0.3, what is the probability of its complement?
The probability of an event and its complement add up to 1. If the probability of an event is 0.3, the probability of its complement is 0.7.
Explanation:The probability of an event and its complement always add up to 1. So, if the probability of an event is 0.3, the probability of its complement can be calculated by subtracting the probability of the event from 1. In this case, the probability of the complement would be 1 - 0.3 = 0.7. Therefore, the probability of the complement is 0.7.
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A sector has a radius of 15 centimeters and an angle of 48°. Find its arc length.
Answer:
4pi or 12.57 cm
Step-by-step explanation:
Step 1 : Write the formula of arc length
Arc length = x°/360° x Circumference
Circumference = 2pir
Arc length = x°/360° x 2pir
Step 2 : Substitute the given values in the formula
x = 48°
r = 15 cm
Arc length = 48°/360° x 2pi(15)
Arc length = 4pi or 12.57 cm
!!
Do you guys know the answer for number 1 and 2
Find the surface area of a ping pong ball if the diameter of a ping pong ball is 1.4882 inches round your answer to the nearest hundredth
Answer:
6.96 in².
Step-by-step explanation:
The formula for the surface area of a sphere is
A= 4πr²
Data:
d = 1.4882 in
Calculations:
r = d/2 = 1.4882/2 = 0.7441 in
V = 4 × π × 0.7441² = 6.96 in²
The surface area of the ping pong ball is 6.96 in².
whats 85 percent of 250
Answer:212.5
Step-by-step explanation:85/100×250
=212.5
85 percent of 250 results in 212.5.
To find 85 percent of 250, follow these steps:
Change the percentage to a decimal by dividing by 100: 85% = 85 / 100 = 0.85
Multiply the decimal by the number: 0.85 x 250
Calculate the product: 0.85 x 250 = 212.5
Therefore, 85 percent of 250 is 212.5.
For example, if 250 students are surveyed, then 212.5 students would represent 85 percent of the surveyed group.
will mark brainlist
PLEASE HURRY NEED TO TURN IN BY 8 PM SUPER EASY WILL GIVE BRAINLEIST
A friend rewrote the expression 5(x + 2) as 5x + 2. Write a few sentences to your friend explaining the error. Then, rewrite the expression 5(x + 2) correctly.
Answer:
answer: 5x + 10
Step-by-step explanation:
The distributive property (of which this is an example) demands that the 5 must multiply the x (which was done correctly) to give 5x
But the problem becomes undone when you forget about the 2. You must multiply the 2 by 5 as well to give 10.
The plus sign cannot be destroyed. The terms are not alike. So the answer is 5x + 10
Could you guys help me answer this question.
Answer:
9
Step-by-step explanation:
8.5*9(h)=76.5
76.5+15=91.5
I need help with this right away
Answer:
14
Step-by-step explanation:
8 + 3e
Let e =2
8 + 3(2)
8 + 6
14
What is the difference between negative number and positive numbers in a number line?
Answer:
See below.
Step-by-step explanation:
You take the absolute value of the negative number and add.
For example the difference between - 2 and + 3 is |-2|
= 3 + 2 = 5.
+4 and - 6: we have 4 + |-6| = 10.
What is the range of the function y= e4x?
Answer:
Range is y > 0
Step-by-step explanation:
We need to find the range of y = e^4x
The range is defined as a set of values of dependent variable for which the function is defined.
The exponential function of form c. n^x + k has range f(x) > k
in the given function y = e^4x ,k =0
so Range is y > 0
A ball travels on a straight surface at 20 ft/sec it begins to decrease at 6 ft/sec How far will it travel ?
Answer:
14 ft/sec
so 14 feet in one second.
Hope this helps you :)
Good Luck :)))
Answer:
14 feet per second
Step-by-step explanation:
If a ball travels on a straight surface at 20 ft/sec and begins to decrease at 6 ft/sec, it will travel 14 feet per second.
Need help now!!!!!!!
Answer:
I got you.Use pemdas to solve this expression. First, evaluate the exponets, then multiply them together. Finally, divide that by 100.
Answer:
256
Step-by-step explanation:
First evaluate the exponents
100 ÷ 25 × 64
Division and multiplication are of equal precedence
When they appear together in a mixed calculation then evaluate from left to right, that is
100 ÷ 25 × 64
= 4 × 64
= 256
Kevin operates a movie theater that sells about 800 tickets per day for $8 each. Kevin predicts that for each $0.50 increase in the ticket price, 40 fewer tickets will be sold. Let x represent the number of $0.50 price increases and f(x) represent the total earnings from ticket sales.
f(x)=-20x^2+80x+6400
Kevin wants to determine the best potential earnings from ticket sales each day.
Complete the following statement for this situation.
The function reveals that the (minimum or maximum) earnings from ticket sales will be (320,6400,6480 or 720$) after(6,8,4 or 2) $0.50 price increases.
Answer:
The function reveals that the maximum earning from ticket sales will be $6480 after 2 ($0.50) price increases
Step-by-step explanation:
* Lets explain how to solve the problem
- The function f(x) = -20x² + 80x + 6400 represents the total
earnings from ticket sales and x represents the number of $0.50
price increases
∵ f(x) is a quadratic function
∵ The coefficient of x² is -20
∴ The function has a maximum value
- The vertex of the quadratic function f(x) = ax² + bx + c is (h , k),
where h = -b/2a and k = f(h)
* Lets find the maximum point of f(x)
∵ a = -20 , b = 80
∵ h = -b/2a
∴ h = -(80)/2(-20) = -80/-40 = 2
∵ k = f(h) and h = 2
∴ f(2) = -20(2)² + 80 (2) + 6400
∴ f(2) = -80 + 160 + 6400
∴ f(2) = 6480
∴ k = 6480
* The function reveals that the maximum earning from ticket sales
will be $6480 after 2 ($0.50) price increases
Answer:
maximum, 6480, two
2. If the radius of a circle is 12.5 meters, the diameter is
o a) 6.25 meters
I b) 125 meters
O c) 25 meters
od) 50 meters
[tex]\huge{\boxed{25}}[/tex]
The radius is the distance from the center of the circle to its edge.
The diameter is the distance from one point on the edge to the opposite point on the edge, so it is twice as much as the radius.
This means we just need to multiply the radius by two to get the diameter. [tex]2r=d[/tex]
[tex]2(12.5)=d[/tex]
[tex]\boxed{25}=d[/tex]
I Need Help Plz I Need The Answer!!
Answer:
I believe it would be C I don't have much experience with these problems but I'm good at them for what I did
Answer:
ASA Postulate.
Step-by-step explanation:
Two angles and a corresponding side make the triangles congruent.
Determine the slant asymptote for the function f(x) = 3x^3-4x +5 divided x-3
Answer:
don´t exist
Step-by-step explanation:
The slant asymptote only exist under two condition:
1) Don't exist horizontal asymptote
2) If the degree of the denominator is n, the degree of the numerator should be n+1
In this case, the degree of the numerator is n+2, for that the slant asymptote don´t exist
If f(x) = 2x + 4, what is the value of the function
when x = 5?
O 14
O 10
oo
Submit
Answer:
14
Step-by-step explanation:
Plug the 5 into the equation
2(5) + 4 = 14
Answer:
f(5)= 2(5) + 4 = 10 + 4 = 14
Mr. Wilson is building a swimming pool in his backyard. The width of the pool is twice the depth and the length of the pool is 3 feet
longer than the width.
Which of the following statements is true?
The monomial 3d represents the length of the swimming pool.
The trinomial 2d3 +3d2+1 represents the volume of the swimming pool.
The binomial 6d3 + 4d2 represents the volume of the swimming pool.
The binomial 2d + 3 represents the length of the swimming pool.
Answer:
The binomial 2d + 3 represents the length of the swimming pool
Step-by-step explanation:
Let
l ----> the length of the swimming pool
w ---> the with of the swimming pool
d ---> the depth of the swimming pool
we know that
[tex]w=2d[/tex] -----> equation A
[tex]l=w+3[/tex] ----> equation B
substitute equation A in equation B
[tex]l=2d+3[/tex] -----> equation C
The volume of the swimming pool is equal to
[tex]V=lwd[/tex]
Substitute equation A and equation C in the formula of Volume
[tex]V=(2d+3)(2d)d\\ \\ V=4d^{3}+6d^{2}[/tex]
therefore
The binomial 2d + 3 represents the length of the swimming pool (equation C)