Which point represent the location of the vertex of the
given function? *
f(x) = -2(x – 4)2 – 7?

Answer:

D is the correct option

Step-by-step explanation:

2x-3/x ÷ 7/x²

Change the division sign into multiplication and the second term will be flipped(denominator will become numerator)

2x-3/x * x²/7

x will be cancelled out by x²

2x-3/1 * x/7

Now multiply 2x-3 by x

2x²-3x/7

Take x as a common:

x(2x-3)/7

Thus the correct option is D....

The value of x from the given algebraic expression Ax + By = −C would be x = (-C - By)/ A.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

In order to solve x, if we isolate the x variable from the rest of the other variables.

Given algebric expression;

Ax + By = -C

1. Subtract By from the right side

Ax + By -By = -C -By

Ax = -C - By

2. Divide A

x = (-C - By)/ A

Hence, The value of x from the given algebraic expression Ax + By = −C would be x = (-C - By)/ A.

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Answer:

Step-by-step explanation:

To find the zeros, set y=-4(x - 3)2 + 8 = 0.  Then -4(x - 3)^2 = -8, and:

4(x - 3)^2 = 8.  Dividing both sides by 4 yields (x - 3)^2 = 2.

Taking the square root of both sides yields x - 3 = ±2, so that

x = 3 ±2, or x = 5 and x = 1.  These are the zeros. The correct interpretatioon is A:  where the daily profit is $0.

Answer:

Interpretation: The zeros are where the daily profit is $0.00.

Zeroes are x = 1.58 and x = 4.41.

Step-by-step explanation:

Given function,

[tex]y=-4(x-3)^2+8[/tex]

For finding the zeros,

y = 0,

[tex]-4(x-3)^2+8=0[/tex]

[tex]-4(x-3)^2=-8[/tex]

[tex](x-3)^2=2[/tex]

[tex]x-3=\pm \sqrt{2}[/tex]

[tex]\implies x = 3\pm \sqrt{2}[/tex]

[tex]\implies x\approx 4.41\text{ or }x=1.58[/tex]

Hence, the zeroes of the function are x = 1.58 and x = 4.41,

∵ x represents the price of a taco and y represents daily profit,

Therefore, the zeroes are where the daily profit is $ 0.00.

Answer:

The option you have selected in the photo, 20 + 0.15x < 15 + 0.20x

Step-by-step explanation:

Your data plan per month would have a flat rate of 15 and then add on 20 cents per MB of data used. The equation would be 15 + 0.20x.

Sally's is a flat 20 and adding on 15 cents per MB of data. The equation would be 20 + 0.15x.

The question wants Sally's less than yours or Sally < You, so your answer is:

20 + 0.15x < 15 + 0.20x

C : 13

8 is not a prime number since it's dividable by multiple numbers. For example 2(4), 1(8)

6 is not a prime number since it's dividable by 3(2), 1(6)

13 is a prime number because it's only dividable by itself.

10 is not a prime number because it can be divided by 5(2), 1(10)

So only 13 matches as a prime number.

Answer:

[tex]cos^{-1}[\frac{6.3}{9.8}][/tex]

[tex]sin^{-1}[\frac{7.5}{9.8}][/tex]

Step-by-step explanation:

step 1

Find the measure of angle ABC using the function cosine

we know that

The function cosine of angle ABC is equal to divide the adjacent side to angle ABC by the hypotenuse of the right triangle

cos(∠ABC)=BC/AB

substitute

cos(∠ABC)=6.3/9.8

[tex]ABC=cos^{-1}[\frac{6.3}{9.8}][/tex]

step 2

Find the measure of angle ABC using the function sine

we know that

The function sine of angle ABC is equal to divide the opposite side to angle ABC by the hypotenuse of the right triangle

sin(∠ABC)=AC/AB

substitute

sin(∠ABC)=7.5/9.8

[tex]ABC=sin^{-1}[\frac{7.5}{9.8}][/tex]

Answer:

C. (4,28)

Step-by-step explanation:

The substitution method requires you to input a specified number in place of a variable. In this case, the variable 'x' should be replaced by the number 4. Using the order of operations, we know that multiplication should be applied before subtraction. When we replace 'x' with 4, we get the equation 'y=8(4)-4'. Multiplying 8 and 4 gives us 32. If we subtract 4 from 32, we get 28. The answer ends up being 'y=28'.

That is the first part of our solution. What we are actually looking for is an ordered pair. We know ordered pairs are written in the form (x, y). First, we need to find the 'x'. The 'x' has been given to us from the beginning, it is 4. Next is the 'y'. This is what we needed to find using substitution. We ultimately concluded that the 'y' is equivalent to 28. Therefore our ordered pair is (4, 28), the letter choice C.

I hope this helped you and that I clearly elaborated on the answer choice.

Answer:

A) 1:1

Step-by-step explanation:

Each leg is the same value and the hypotenuse is [tex]\sqrt{2}[/tex] of the value.

Answer:

Answer A:  1:1

Step-by-step explanation:

In a 45-45-90 triangle, the two legs are of equal length.

Thus, Answer A:  1:1, is the correct one.

Answer:

Step-by-step explanation:

[tex]-2<\dfrac{x}{3}+1<5\qquad\text{subtract 1 from both sides}\\\\-2-1<\dfrac{x}{3}+1-1<5-1\\\\-3<\dfrac{x}{3}<4\qquad\text{multiply both sides by 3}\\\\(3)(-3)<3\!\!\!\!\diagup^1\cdot\dfrac{x}{3\!\!\!\!\diagup_1}<(3)(4)\\\\-9<x<12[/tex]

Answer:

Observe the attached image

Step-by-step explanation:

The inequality we have is:

[tex]y <2[/tex]

This means that the region represented by this inequality includes all the values below the horizontal line [tex]y = 2[/tex].

To graph this region, draw a dotted horizontal line that intersects the y axis at [tex]y = 2[/tex]. Then shade all the region that is below the horizontal line, as shown in the attached image.

Answer:

V = 942.48cm³

Step-by-step explanation:

The volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm is 942.48.

Formula: V=πr2h

V=πr2h=π·52·12≈942.4778cm³

The constructions will NOT result in a point of concurrency is C. the three midsegments of a triangle.

The central segment is parallel to the sides of the non-intersecting triangles. There are three congruent triangles formed by the central segment and sides of the triangle. Every triangle has three central segments.

The central segment is a line segment connecting the midpoints of the two sides of a triangle. Each triangle has three central segments because each triangle has three sides. The center segment of the triangle is parallel to the third side of the triangle and half the length of the third side.

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Answer:

Option c). 5 square root 3 over 2

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle AOC

we know that

m∠AOC+m∠BOC=180° ----> by supplementary angles

m∠BOC=60° ---> given value

m∠AOC+60°=180°

m∠AOC=180°-60°=120°

step 2

we know that

The triangle AOC is an isosceles triangle

OA=OC=2.5 in -----> the radius of the circle

m∠CAO=m∠OCA ----> base angle

we have that

2m∠CAO=180°-m∠AOC

2m∠CAO=180°-120°

m∠CAO=30°

step 3

Find the measure of the chord AC

we know that

Applying the law of sines in triangle AOC

sin(30°)/2.5=sin(120°)/AC

AC=(2.5)sin(120°)/sin(30°)

sin(30°)=1/2

AC=(2.5)sin(120°)/(1/2)

AC=(5)sin(120°)

Remember that

sin(120°)=sin(60°)

sin(60°)=√3/2

substitute

AC=(5√3)/2

5 square root 3 over 2

Answer:

The measure of angle xba is 43°

Step-by-step explanation:

we know that

If ray ba bisects the angle xby, then the measure of angle xby is divided into two equal angles

see the attached figure to better understand the problem

so

∠xba=∠aby

∠xba+∠aby=∠xby

we have

∠xby=86°

therefore

∠xba=∠xby/2=86°/2=43°

Answer:

Henry's monthly payment is $457.5

Henry pays up for the boat at the end overall $35,960

Step-by-step explanation:

* Lets explain how to solve the problem

- Henry buys a large boat with full amount of $32,000

- He cannot pay the full amount at once

- He puts a down payment of $14,000

- He receives a loan for the rest of the payment

∵ The rest of payment = 32,000 - 14,000 = $18,000

- The loan has an interest rate of 5.5%

∴ The rate of interest = 5.5/100 = 0.055

- It is to be paid out over 4 years

∵ The amount of interest = P × r × t , where

# P is the principle amount

# r is the rate

# t is the time

∵ P = 18, 000 , r = 0.055 , t = 4

∴ The amount of interest = 18,000 × 0.055 × 4 = $3960

- The total remaining amount is the sum of the rest of payment and

 the amount of interest

∵ The rest of payment is $18,000

∵ The interest amount = $3,960

∴ The total remaining amount = 18,000 + 3,960 = $21960

- The number of monthly payments = 12 × t

∵ t = 4

∴ The number of monthly payment = 12 × 4 = 48 months

- The monthly payment = the total remaining ÷ the number of

  monthly payment

∵ The total remaining is 21960

∵ The number of monthly payment = 48

∴ The monthly payment = 21960 ÷ 48 = $457.5

* Henry's monthly payment is $457.5

- The total paying for the boat is the sum of the payment down and

  the remaining total payment

∵ The payment down is $14,000

∵ The remaining total payment is 21,960

∴ The total payment for the boat = 14,000 + 21,960 = $35,960

* Henry pays up for the boat at the end overall $35,960

Answer:

yes; 4² + 3² = 5²

Step-by-step explanation:

Pythagorean theorem.

In a right triangle the square of the hypotenuse is equal to  the sum of the squares of the other two sides. Hypotenuse is the longest side of the triangle.

4² + 3² = 5²

16 + 9 = 25

25 = 25  

Answer: 50.91 kilograms

Step-by-step explanation: Divide the number of pounds by the number of pounds in a kilogram.

112/2.2 = 50.91

There are 50.91 kilograms in 112 pounds.

Step-by-step explanation:

(9÷3)+4(6-7)

=(3)+4(1)

=3+4

=7

Answer:

-1

Step-by-step explanation:

According to PEMDAS, we must start with what's in the parenthesis:

(9/3)=3

and

(6-7)=-1

Which leaves us with the equation 3+4(-1)

The next step would be multiplication:

4(-1)=-4

Leaving us with 3+(-4), which simplifies to:

Hope this helps!

Answer:

There is a scale factor of 1

Step-by-step explanation:

the ratio 1:1 means that there is no difference between the two triangles, and that they are congruent.

Correct Option is C.

Independent Event:

Independent events are those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other.

Here, Some animals may be blue without two heads and also may be with two heads without blue.

So, It is an independent event, As there occurrence is not dependent on other events.

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its given if already with all the dashes and circle thingys so it's A I'm quite sure

Reflexive property and transitive property.

The answer is option D.

In algebra, the reflexive assets of equality state that a number is continually the same as itself. Reflexive belongings of equality. If a is various, then. a = a.

In math, if A=B and B=C, then A=C. So, if A=5 for instance, then B and C should both also be five with the aid of the transitive property. That is actually—a foundational property of—math because numbers are constant and both facets of the equals signal need to be equal, by definition.

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Answer: The direction of the rotation is counterclockwise about the origin.

Step-by-step explanation:

          [tex](x,y)[/tex] → [tex](-y, x)[/tex]

In this case, we can observe that the coordinates of the Pre-image of the Point G are:

[tex](7 ,-5)[/tex]

And the coordinates of its Image are:

[tex](5, 7)[/tex]

Then:

[tex](x,y)[/tex] → [tex](-y, x)[/tex]

[tex](7 ,-5)[/tex] → [tex](5, 7)[/tex]

Therefore, the direction of the rotation is counterclockwise about the origin.

Answer:

13

Step-by-step explanation:

u=(3+2i)  v=(3-2i)

uv = (3+2i)(3-2i)

FOIL

first: 3*3 = 9

outer: -2i*3 = -6i

inner: 2i*3 = 6i

last = 2i*-2i = -4i^2 =-4 (-1) = 4

Add together

9-6i+6i +4 = 13

Answer:

13.

Step-by-step explanation:

uv = (3 + 2i)(3 - 2i)

=  9 - 6i + 6i - 4i^2         Note that i^2 = -1  so we have

9  -4 * -1

= 13.

Answer:

[tex]\large\boxed{2\dfrac{2}{3}+12\dfrac{6}{8}=15\dfrac{5}{12}}[/tex]

Step-by-step explanation:

[tex]2\dfrac{2}{3}+12\dfrac{6}{8}=2\dfrac{2}{3}+12\dfrac{6:2}{8:2}=2\dfrac{2}{3}+12\dfrac{3}{4}\\\\\text{Find}\ LCD:\\\\\text{List of multiples of 3:}\ 0,\ 3,\ 6,\ 9,\ \boxed{12},\ 15,\ ...\\\text{List of multiples of 4:}\ 0,\ 4,\ 8,\ \boxed{12},\ 16,\ ...\\\\12=3\cdot4\\\\\text{therefore}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}\\\\\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\2\dfrac{2}{3}+12\dfrac{3}{4}=2\dfrac{8}{12}+12\dfrac{9}{12}=(2+12)+\dfrac{8+9}{12}=14+\dfrac{17}{12}\\\\=14+1\dfrac{5}{12}=15\dfrac{5}{12}[/tex]

Answer:

hello : (5,2,2)

Step-by-step explanation:

put x = 5 in this equation :   y=3(5)-13=15-13=2

put x= 5 and y=2 and z=2 in the first and second equation you have -3(5)+4(2)+2(2)=-3       -15+8+4 =-3      so :-3=-3 .....right

2(5)-4(2)-2 =0             10-8-2=0   so : 0=0   .....right    

Answer:

The correct answer options are:

Circle E

Circle F

Step-by-step explanation:

We are given that a circle A has a radius of 6 and we are to determine whether which of the circles from the answer options are congruent to circle A.

We know that radius is the distance from the center of the circle to any point on circle's circumference.

Circle E, F show the radius of 6, therefore they are congruent to circle A.

Answer:

Explanation:

The time to cross the finish line may be found using the speed vs. time equation:

From which you can solve for time:

Using the last equation, you can find the difference in the times for Malcolm and Joshua, but, since the speed must be expressed in miles per minutes, and the given data are minutes per mile, first you must convert the data.

Miles per minute is the inverse of minutes per mile, so the corresponding speeds are:

Hence, Joshua will cross the finish line 20 minutes after Malcolm crosses the finish line.

Answer:

Step-by-step explanation:"

The electrician charges an initial fee of $42", AND "The electrician charges $22 for every hour worked" is true.

The equation is y=22x+42. The formula is y=mx+b.m is the slope, or is this case, the number of dollars for every "x", which is the number of hours worked. So you have to pay $22 for every hour the electrician works.b is the y-intercept, or the amount it starts with, in this case, you have to pay a fee of $42 even when the electrician worked 0 hours. This is because $42 is the amount it starts with.On a graph, the line will start at (0,42) because that is when you start paying. And then it will increase by 22 for each hour, so the next coordinate would be (1,64).

The given function y=22x+42 represents the electrician’s charges. The electrician charges $22 for each hour worked and has a flat service fee of $42.

The given function y=22x+42 stands for the electrical work charges in terms of hours worked. Here 'y' represents the total amount charged, 'x' represents the number of hours worked, '22' is the hourly rate and '42' is likely a fixed service fee regardless of the hours worked. So the aspects that holds true for this function are: (1) The electrician charges $22 per hour of work, (2) The electrician has a fixed service fee of $42 whether or not they have worked any hours

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Answer:

Step-by-step explanation:

Attached below. pi = 180°

Answer:

a

Step-by-step explanation:

Answer:

f(g(-1)) = -8 and g(f(1/2) = 4/19.

Step-by-step explanation:

The question specifies f(x) = x^2 + 9x and g(x) = 1/x. The question requires that there should be composite functions. This means a function in a function. Therefore, f(g(x)) means that the function g(x) is taken is an input in the function f(x). Simply replace g(x) instead of x in f(x). This gives:

f(g(x)) = (1/x)^2 + 9(1/x) = x^(-2) + 9/x.

Similar process for g(f(x)) gives:

g(f(x)) = 1/(x^2 + 9x).

Now there are two separate composite functions. Now taking inputs in the composite functions:

f(g(-1)) = (-1)^(-2) + 9/(-1) = 1 - 9 = -8.

g(f(0.5) = 1/(0.5^2 + 9(0.5)) = 1/(0.25+4.5) = 1/4.75 = 100/475 = 4/19.

Therefore f(g(-1)) = -8 and g(f(1/2) = 4/19!!!