Write the function in standard form.
f(x) = - 3(x - 7)2 + 15

Answer:

she should at least have $1,150 in at least 575 weeks

Step-by-step explanation:

Answer:

100 people

Step-by-step explanation:

first we gotta find 90% of 1000 to do that we multiply 1,000×90% or 1000×0.90 (same thing)

this equals 900 so 900 people don't know the name of their rep in congress subtract 1000-900 thus 100 ppl know there rep in congress

Answer:

100 people did know they're representative

Step-by-step explanation:

You just have to scale up the problem for example 10% of 100 is 10 but 10% of 1,000 is 100(If you need me to be more clear please let me know)

Answer:

x 1 = -3  

x2 = -3

y1 = 0

y2 = 5

The slope of that equation is infinite and the equation is a perfectly vertical line at x = -3.

So, the equation is x = -3.

Step-by-step explanation:

Given parameters:

The coordinates of points on the line;

  (x, y) = (-3,0) and (x, y) = (-3, 5)

Unknown;

The equation of the line = ?

The equation of a line is usually expressed in the form y = mx + c

  Where;

     y and x are the coordinates

      m is the slope

      c is the y-intercept

Now we need to first find the slope of the line.

    Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]  

       (x₁, y₁) = (-3,0) and (x₂, y₂) = (-3, 5)

Input the parameters and solve;

     Slope = [tex]\frac{5 - 0}{-3 -(-3)}[/tex]   = infinity

The line has an infinite slope.

The equation of the line is therefore x  = c

         x  = -3

Answer:

- 1/2

Step-by-step explanation:

Just took the test

The value of cot (b) using trigonometry is -1/2 when tan b = -2.

Since we are given that tan(b) = -2 and the terminal side of angle b is in quadrant II, determine the value of cot(b).

In quadrant II, the sine and cosine values are positive, while the tangent and cotangent values are negative.

Given:

tan(b) = -2

The cotangent (cot) of an angle is the reciprocal of the tangent:

cot(b) = 1 / tan(b)

Now, substituting the given value of tan(b):

cot(b) = 1 / (-2)

cot(b) = -1/2

So, the value of cot(b) is -1/2.

Learn more about Trigonometry here:

https://brainly.com/question/11016599

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Answer:

1,260

Step-by-step explanation:

This is if you subtract those numbers up you would get 1,260

Answer:

5 hours

Step-by-step explanation:

3h5min+1h55min=5hours

Answer:

3+1=4

55+5=60

60 minutes make an hour

=5

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

C. 24:56

Step-by-step explanation:

3/7 * 8/8

3*8 = 24

7*8 = 56

24/56

Answer:

186cm im pretty sure

Step-by-step explanation:

Answer:

The perimeter is 186 centimeters.

Step-by-step explanation:

The perimeter is the combination of all the side lengths of a figure. So, to figure this one out, it would be:

31 + 31 + 31 + 31 + 31 + 31

Or in simpler terms:

31 times 6.

All you need to do is multiply, and the answer comes out to 186cm

Answer:

53

Step-by-step explanation:

so first sutract the large angle from 360:

360 - 213 = 147

then subtract the other large known angle:

147 - 107 = 40

now we know the x - 13 = 40 so to find x we just have to add 13:

40 + 13 = 53

Answer:

ab = 280

or

a = 280/b

Step-by-step explanation:

Inverse variation is of the form

xy = k

Since we have a and b as our variables

ab = k

20 *14 = k

280 = k

ab = 280

Sometimes they write it as

a = 280/b

Answer: It is Geometric.

Step-by-step explanation: Because it does not have a fixed pattern that adds or subtract which arithmetic does.

Answer:

[tex]300\; \rm lb[/tex].

Step-by-step explanation:

Let [tex]x[/tex] represent the mass (in pounds) of that [tex]15\%[/tex] copper alloy required, such that the final mixture would contain [tex]25.5\%[/tex] copper by mass.

Consider: if [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy is mixed with [tex]700[/tex] pounds that [tex]30\%[/tex] copper alloy, what would be the mass of copper in the mixture?

Therefore, the mixture would contain [tex](210 + 0.15\, x) \; \rm lb[/tex] of copper.

The mass of that mixture would be [tex](700 + x)\; \rm lb[/tex]. The mass fraction of copper in that mixture would be:

[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%[/tex].

This ratio is supposed to be equal to [tex]25.5\%[/tex]. These two pieces of equations combine to give an equation about [tex]x[/tex]:

[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%[/tex].

[tex]\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255[/tex].

Simplify and solve for [tex]x[/tex]:

[tex]210 + 0.15\, x= 0.255\, (700 + x)[/tex].

[tex](0.255 - 0.15)\, x= 210 - 0.255 \times 700[/tex].

[tex]\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300[/tex].

Therefore, [tex]300\; \rm lb[/tex] of that [tex]15\%[/tex] alloy would be required.

Answer:

9%

Step-by-step explanation:15% of 60 is 9%

Answer:

25%

Step-by-step explanation:

Answer:

500 $

Step-by-step explanation:

[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]

[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]

[tex]\frac{21}{50}x=210\\[/tex]

[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]

x=500

<3

Red

Answer:

I believe the Answer is B

I'm really sorry if this is wrong.

Step-by-step explanation:

I tried my best :)

Answer:

283-284

The real answer is like 283.906

Answer:

yes

Step-by-step explanation:

3×5×45=365m²

Answer:

yes

Step-by-step explanation:

Answer:

2x²-2x+5y doing the math reply if you need explanations

Answer: The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.

Step-by-step explanation:

Answer:

2 and 4

3 and 4

2 and 5

3 and 5

2 and 6

3 and 6

Given:

f(−4)=6

Slope of f=−6

To find:

The linear function with the given properties.

Solution:

We have,

f(−4)=6

It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).

Slope of f=−6

The point slope form of a linear function is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the linear function.

On substituting the values, we get

[tex]y-6=(-6)(x-(-4))[/tex]

[tex]y-6=-6(x+4)[/tex]

[tex]y-6=-6x-24[/tex]

Add 6 on both sides.

[tex]y-6+6=-6x-24+6[/tex]

[tex]y=-6x-18[/tex]

The function form of this linear equation is

[tex]f(x)=-6x-18[/tex]

Therefore, the required function is [tex]f(x)=-6x-18[/tex].

Answer:

Step-by-step explanation:

In the given division, when 24.725 is divided by 215,

Step 1 is the wrong step.

Quotient in first step will be 0.1 .

Part C.

215) 24.725 (0.115

      215

          322

          215

           1075    

           1075

                0

Therefore, the correct way to divide should be as agove.

Quotient after division should be 0.115.

Answer:

420

Step-by-step explanation:

7 x 10^6 = 7 x 60 = 420

Answer:

7000000

Step-by-step explanation:

10^6 = 1000000

1000000 x 7

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

Answer:

a relation of X to Y, if one element from X is equal to one element from Y.

Step-by-step explanation:

a function in which one thing from X is equal to one thing from Y...

Answer:

34

Step-by-step explanation:

Step 1:

4 + 3x = 106        Equation

Step 2:

3x = 102      Subtract 4 on both sides

Step 3:

x = 102 ÷ 3     Divide

Answer:

x = 34

Hope This Helps :)

Answer:

Proportional Relationship: I  Not a Proportional Relationship:

y=1.6x                                  I   y=3/(4x)

y=x                                      I   y=2x+1

y=12x .                                 I   y=3+x

Explanation:

I took the test and that's how i got these answers.

Answer:

B

Step-by-step explanation:

To answer this question, we can just pick a couple of points and see which table gives the correct values.

Test Value 1)

Let's let m be 0.5.

So, our output will be:

[tex]-(T(0.5)+G(0.5))[/tex]

From our original tables, we know that T(0.5) is 1.25 and G(0.5) is 4.9. So:

[tex]=-(1.25+4.9)[/tex]

Add:

[tex]=-6.15[/tex]

So, when m is 0.5, our output should be -6.15.

The only choice that does this is B. So, B is our correct answer!

However, let's do another test point just to confirm.

Test Value 2)

Let's let m be 1.2.

So, our output will be:

[tex]-(T(1.2)+G(1.2))[/tex]

From our original table, we know that T(1.2) is 3 and G(1.2) is 11.76. So:

[tex]=-(3+11.76)[/tex]

Add:

[tex]=-14.76[/tex]

The only choice that does this is B. So, we are confident that B is our answer.

And we're done!

Answer:

B

Step-by-step explanation: