2. Evaluate the polynomial two ways: by substituting in the given
value of x, and by using long division.
Find P(-3)for P(x)= 4x2 +10x - 8.

Answer: the answers are both A and B

Step-by-step explanation:

square root of 64 is 8 and the square root is 225 is 15. It can be both positive and negative

Answer:

a(1) = 72

a(n) = a (n-1) - 18

Step-by-step explanation:

This is a simple series of multiplication of 18 . If we divide all the numbers by 18 we get

72/18, 54/18, 36/18. 18/18, 0/18

4      , 3      , 2     , 1 ,       0

So we can see that the numbers are in  decreasing order as the multiples of 18.

in other words the first term is a= 72

from which we subtract 18 and get 54 and so on.

So the general rule would be

a(1) = 72

a(n) = a (n-1) - 18

Where n and (n-1 ) are subscripts. We are just subtracting 18 from the number to get the answer.

72-18= 54

54-18= 36

36-18= 18

18-18=0

Answer:

1458

Step-by-step explanation:

10% * 14580

Change to decimal form

.10 * 14580

1458

Answer:

1458

Step-by-step explanation:

14,580 multiply that by .1

Answer:

A. 7 ft

Step-by-step explanation:

Volume is Length * Width * Height

12 * 3.4 * Height = 285.6

285.6 / 12 = 23.8

23.8 / 3.4 = 7

Answer:

The inverse is -1/5x -4/5

Step-by-step explanation:

f(x) = -5x-4

y = -5x-4

Exchange x and y

x = -5y -4

Solve for y

Add 4 to each side

x+4 = -5y

Divide by -5

-1/5x -4/5 = -5y/-5

-1/5x -4/5 = y

The inverse is -1/5x -4/5

Answer:

[tex]\huge\boxed{f^{-1}(x) = -\frac{x+4}{5}}[/tex]

Step-by-step explanation:

[tex]f(x) = -5x-4[/tex]

Replace y = f(x)

[tex]y = -5x-4[/tex]

Exchange values of x and y

[tex]x = -5y -4[/tex]

Solve for y

[tex]x = -5y - 4[/tex]

Adding 4 to both sides

[tex]x + 4 = -5y[/tex]

Dividing both sides by -5

[tex]y = -\frac{x+4}{5}[/tex]

Replace y = [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = -\frac{x+4}{5}[/tex]

Answer:

-20xy -8y+26

Step-by-step explanation

First Multiply 2 by 3.

6 + 10 x 2 - 4 x (2y) - 20xy

Then Multiply 10 by 2.

6+20-4x(2y)-20xy

After that Multiply 2 by -4.

6+20-8y-20xy

Lastly add 6 and 20.

26 -8y -20xy

Answer: All options are in slope-intercept form

i hope this helps .

Step-by-step explanation:

1.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=-\frac{8}{7}x-\frac{3}{2}\\[/tex]

2.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=\frac{7}{8}x-\frac{3}{2}[/tex]

3.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{7}{8}x-\frac{3}{2}[/tex]

4.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{3}{2}x+\frac{7}{8}\\[/tex]

Answer:

None of the above

Step-by-step explanation:

A graph of the function f(x) = 4x- 8 is straight line passing through (0,-8) on y axis and (2,0) on x axis.

Thus, we observe that both Domain and Range belongs R (real no.), but none of above options states that.

Step-by-step explanation:

half life time-50%-8.4hr

so for 10%- 8.4/5=1.68 hr

now for 70%

1.68 × 7 = 11.76 hrs

to one decimal place - 11.8hrs

11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.

Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.

Half-life period - 50% -8.4hours

so for 10%- 8.4/5 = 1.68 hour

now for 70%

1.68 × 7 = 11.76 hours

To one decimal place - 11.8hours

Hence, 11.8hours is the answer.

To learn more about half-life here

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Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

Hi, there!!!

It's so simple,

so, let's simply work with it;

Here, the given equation is;

4d-4 = 5d-8

so, let's take "4d" to right side and -8 to left side. we get,

-4+8 = 5d-4d

or, 4 = d

Therefore, the value of d is 4.

{here, we simply simplified to get answer}

YOU ARE ABSOLUTELY RIGHT...

Hope it helps....

Answer:

x=2.25

Step-by-step explanation:

4x=3 x 3

Answer:

x = 1.33y

Step-by-step explanation:

33% is equal to 0.33. If a number x is 33% more than a number y, then x is 133% of y. 133% = 1.33

Answer:

The correct option is;

C. Quadratic

Step-by-step explanation:

The given information are;

The quantity of corn Farmer Joe has to sell = 1,000 bushels

The present market price for corn = $5.00 a bushel

The amount by which he expects the market price to rise per week =$0.15

The number of bushels lost to spoilage per week = 10

Therefore, we have;

The value of the corn = Amount of corn left × Price of corn

The price of the corn per bushel with time = 5 + 0.15×t

The amount of corn left = 1000 - 10×t

Where;

t = Time in minutes

Therefore, the total value of corn = (1000 - 10×t)×(5 + 0.15×t) = -1.5·t²+100·t+5000 which is a quadratic model.

Therefore, the correct option is a quadratic model.

Answer:

  One-sixth d + one-eighth d = 1

Step-by-step explanation:

When they work together, their rates of completion add. They want to build one shed, so the number of sheds being built is ...

  (Kaitlyn's sheds per day)×(days Kaitlyn works) +(Mark's sheds per day)×(days Mark works) = 1 shed

  (1/6)d + (1/8)d = 1 . . . . matches the last choice

Answer:

Zoom it to see well

Step-by-step explanation:

The equation of the parabola is y = (x - 1)² - 4. Then the vertex of the parabola is at (1, -4) and the parabola passes through (0, -1) and (0, 3).

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The equation is given below.

y = (x + 1)(x - 3)

We know that the equation is a parabolic equation.

And the value of y at -1 and 3 is zero.

The equation can be written as

y = x² - 2x -3

y = (x - 1)² - 4

And the vertex of the parabola is at (1, -4).

The graph is shown below.

More about the parabola link is given below.

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Answer:

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Step-by-step explanation:

Let x be the amount of dough required for small pizza, y be the amount of dough required for medium pizza and z be the amount of dough required for large pizza.

As per the question , we have

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Hence, the equation for the question with the variable representing the amount of dough needed for small pizza.

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Answer:

  D.  m∡1 = 36°; m∡2 = 18°; m∡3 = 72°

Step-by-step explanation:

The 10 central angles are all the same for the regular decagon, so each is 1/10 of 360°. Angle 1 is 36°.

Angle 2 is half of angle 1, since the altitude shown is an angle bisector. Angle 2 is 18°.

Angle 3 is the complement of angle 2. It is the other acute angle in the triangle that has angle 2 marked. Angle 3 is 72°.

Answer:

∠2 ≅ ∠6

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of  this point from the directrix. So:

√(( x - 2)^2 + (y - 3)^2) = y - (-1)

Squaring both sides:

(x - 2)^2 + (y - 3)^2 = (y + 1)^2

x^2 - 4x + 4 + y^2 - 6y + 9  = y^2 + 2y + 1

x^2 - 4x  + 4 + 9 - 1 = 2y + 6y

8y = x^2 - 4x + 12

y = 1/8(x^2 - 4x + 12)

or we can write it as

y = 1/8x^2 - 1/2 x + 3/2.

Answer:

f(x) = −6(x + 1)(x + 5)

Step-by-step explanation:

f(x) = −6(x + 1)(x + 5) & f(x) = −5(x + 1)(x + 5) are the only ones on the correct side of the y-axis, and f(x) = −6(x + 1)(x + 5) has a y-intercept of -30.

The five fractions whose values are between 1/8 and 1/5 will be 13/100, 7/50, 3/20, 4/25, and 9/50.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The fraction numbers are given below.

1/8 and 1/5

Convert the fraction number into decimal numbers. Then we have

0.125 and 0.20

The five fractions whose values are between 1/8 and 1/5 will be given as,

0.13, 0.14, 0.15, 0.16, 0.18

13/100, 14/100, 15/100, 16/100, 18/100

13/100, 7/50, 3/20, 4/25, 9/50

The five fractions whose values are between 1/8 and 1/5 will be 13/100, 7/50, 3/20, 4/25, and 9/50.

More about the number line link is given below.

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Answer:

=1468 in ^3

Step-by-step explanation:

Find the volume of the container as if the corner was still there

V = l*w*h

V = 10 * 10 *15

  = 1500

Subtract the missing corner

The volume of the missing piece is

V = l*w*h

   = 2*4*4

   = 32

V = 1500-32

   =1468 in ^3

Answer:

It is 1468 inches cubed.

Step-by-step explanation:

You first want to the volume of the entire shape by multiplying the length, width, and height, which is 10, 10, and 15.  They multiply to become 1500 inches cubed.  You then want to find the volume of the smaller rectangular shape, so multiply 4, 4, and 2.  And that equals 32.  So subtract the volume of the big shape that we found, 1500, by the volume of the small one, which is 32.  That equals 1468 inches cubed.  You want to subtract the volume of the big one by the small one because the volume is just the big shape with a small shape cut out of it.  So whenever you get one of these problems, just find the volume of both shapes, the big one and the small one, and subtract the small one from the big one.

Answer:

To have maximum profit, the price must be increased by 5,

Step-by-step explanation:

Given that the price increase function is:

f(x) = -2x² + 20x + 150,

For maximum profit, then f(x) = 0.

Putting f(x) = 0, we have

-2x² + 20x + 150 = 0

Or

x² - 10x - 75 = 0

(x + 5)(x - 15) = 0

x = -5

Or

x = 15

Again, differentiating f(x) and equating to zero, we have

-4x + 20 = 0

4x = 20

x = 20/4

= 5

To have maximum profit, the price must be increased by 5,

their sum is 90° so they're complementary

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

Explanation:

Convert the mixed number 3 & 2/3 to an improper fraction

3 & 2/3 = 3 + 2/3

3 & 2/3 = 9/3 + 2/3

3 & 2/3 = (9+2)/3

3 & 2/3 = 11/3

The prism has a base area of 9 square units and a height of 11/3 units.

Multiply the base area by the height to get the volume

volume = (base area)*(height)

volume = (9)*(11/3)

volume = 99/3

volume = 33 cubic units

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

You could choose to not convert to an improper fraction, and your steps may look like this

volume = (base area)*(height)

volume = (9)*(3 + 2/3)

volume = 9*3 + 9*(2/3) .... distribute

volume = 27 + 18/3

volume = 27 + 6

volume = 33 cubic units

Either way we get the same volume.

Answer:

8!

Step-by-step explanation:

SIMPLIFY

6X-12=4X+4

PUT LIKE TERMS TOGETHER

6X-4X=4+12

SIMPLIFY

2X=16

X=16/2

X=8

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

        ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                       PEACE!

Hey there! I'm happy to help!

First, let's use the distributive property to remove the parentheses. We multiply the number on the outside by each number on the inside.

3(2x-4)

We multiply the 3 by the 2x, giving us 6x, and we multiply the 3 by the -4, giving is -12.

4(x+1)

We do 4 times x which is 4x, and 4 by 1, which is 4.

This gives us this equation.

6x-12=4x+4

Now, we want to solve for x. We want to move all the numbers to the right side and all the x's to the left side so we can figure out what x is equal to.

6x-12=4x+4

We add 12 to both sides, canceling it out on one side and adds it to the other to keep the equation at the same value.

6x=4x+16

We subtract 4x from both sides.

2x=16

We divide both sides by 2.

x=8

Have a wonderful day! :D