3) Consider the function f defined by
f(x) = (3 - x)(4 + 3x). At what point does
the curve y=f(x) intersect the y-axis?

Answer:

principal is $15112

Step-by-step explanation:

25000=P(1+ 0.028/12)^(12times18)

The principal amount of the savings is $15111.6

The given parameters are:

Amount is calculated using:

A = P(1 + r/n)^nt

So, we have:

25000 = P(1 + 2.8%/12)^(12 * 18)

Make P the subject

P = 25000/(1 + 2.8%/12)^(12 * 18)

Evaluate the expression

P = 15111.6

Hence, the principal amount is $15111.6

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Answer:

261.67 cubic feet

Use the  Cone Volume formula V=πr^2 h/3

Answer:

t=5

Step-by-step explanation:

Vertical angles are congruent

So we put the value equivalent to each other

110=4t+90

Isolate t

110=4t+90

-90      -90

20=4t

Divide to isolate t

20/4=4t/4

5=t

Answer:

x2 + 4x - 12

Step-by-step explanation:

(x + 6) ( x-2)

x2 - 2x + 6x - 12

x2 + 4x -12

Answer:

78.5

Step-by-step explanation:

.....ur welcome.........

3.14×5²

Answer:

C. 31.4

Step-by-step explanation:

To find circumference, you need to use πd. Or just pi times whatever the circumference is. Hope this helped you!!!

Answer:

−4m + 10

Step-by-step explanation:

Combine Like Terms:

= 6m + 10 + −10m

= (6m+−10m) + (10)

= −4m + 10

Hope it helped.

Answer:

Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2. Each is 1/2 x 1/2 = 1/4.

Step-by-step explanation:

Answer:

1/4 of 92 = 23 Hope this helps

Answer:

809 km²

Step-by-step explanation:

I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)

(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}

425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}

425 + 312 + (6 * 12) {6 by 12 is 72.}

425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}

737 + 72

809 km²

The area of this figure is 809 km².

A. y = 5, is the correct answer.

B, C, D are all able to form into the y = mx + b equation, so it's not correct. A is not able to form that equation, therefore, A is correct. Hope that helps :)

Answer:

(2-12)

Step-by-step explanation:

9514 1404 393

Answer:

  c)  x = 6

  d)  x = 2

Step-by-step explanation:

In general, you want to "undo" what is done to the variable.

When variable terms are on both sides of the equal sign, you want to collect them on one side of the equal sign first. I like to do that by adding the opposite of the variable term with the lowest (most negative) coefficient.

Whatever you do to one side of the equation must also be done to the other side.

__

c) 2(x +3) = 18

  x +3 = 9 . . . . . . divide both sides by 2

  x = 6 . . . . . . . . . subtract 3 from both sides

__

d) 2x +15 = 27 -4x

  6x +15 = 27 . . . . . . . add 4x to both sides

  6x = 12 . . . . . . . . . . . subtract 15 from both sides

  x = 2 . . . . . . . . . . . . . divide both sides by 2

Find parallelogram ABCD attached

Answer:

x = 3

Step-by-step explanation:

In parallelograms, the diagonals typically divide each other into 2 equal parts.

This means that from the attached parallelogram, we can say that;

4x - 6 = 2x or 6x - 15 = x

Thus;

4x - 2x = 6

2x = 6

x = 6/2

x = 3

Let's confirm with the second equation;

6x - x = 15

5x = 15

x = 15/5

x = 3

Answer:

5c^2 +6c +13

Step-by-step explanation:

so we can see than 5c^2

and 13c - 7c are the same = 6c

and 4 +9 = 13

so answer will 5c^2 +6c +13

Answer:

[tex] {5c}^{2} + 6c + 13[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex] {5c}^{2} (13c - 7c) + (4 + 9)[/tex]

2) Simplify.

[tex] {5c}^{2} + 6c + 13[/tex]

Therefor, the answer is 5c² + 6c + 13.

Answer:The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet

Step-by-step explanation:

Answer:

3x+5

Step-by-step explanation:

Answer: the anser is 946.4

Step-by-step explanation:

not sure

Answer:

third option

Step-by-step explanation:

Answer:

The unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are;

B. A reflection over the y-axis followed by a translation of (I, y) → (I, y - 6)

('I' is the image of 'x' after reflection)

Step-by-step explanation:

The coordinates of the vertices of the quadrilateral ABCD are;

A(-5, 4), B(-2, 4), C(-2, 1), and D(-5, 2)

The coordinates of the vertices of the quadrilateral EFGH are;

E(5, -2), F(2, -2), G(2, -5), and H(5, -4)

By analysis, we have;

The signs of the x-coordinate of the preimage and the image are opposite, therefore, one of the rigid motions is a reflection across the y-axis

Similarly, the common difference between the y-coordinate values of the image and the preimage are;

-2 - 4 = -6

-2 - 4 = -6

-5 - 1 = -6

-4 - 2 = -6

The common difference between the y-coordinates of the image and the preimage is -6, therefore, the y-values are obtained by a translation of y - 6 units

Therefore, the unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are a reflection over the y-axis followed by a translation of (I, y) → (I, y - 6).

Answer:

87 m²

Step-by-step explanation:

The picnic area is the white inner rectangle, while the courtyard is the outer pink rectangle.

The area of the courtyard available for use = area of the pink rectangle - area of the white rectangle

✔️Area of the courtyard (pink rectangle) = L*W

L = 13 m

W = 7 m

Area of pink rectangle = 13*7 = 91 m²

✔️Area of the picnic (white rectangle) = L*W

L = 4 m

W = 1 m

Area = 4*1 = 4 m²

✅Area available in the courtyard for use = 91 m² - 4 m² = 87 m²

Answer: 20 cups :DD

Step-by-step explanation:

Answer

m =18.4 minutes

Step-by-step explanation:

220 = 700 x  (0.939)^m

220/700 = (0.939)^m

m = Log(220/700) / Log(0.939)

m =18.4 minutes

Answer: the answer would be 18.4 minutes

Step-by-step explanation:

Answer:

The Answer is D= 7.47gLmL

Step-by-step explanation:

My work is in the screenshot below

Answer:

1: The correction option is B) Negative

Explanation

In economic theory, the Philips curve depicts the relationship between unemployment and inflation as a negative one. In order words, when inflation goes up, unemployment reduces.

The logic behind that thinking is, that inflation, which is the general increase in prices of goods/commodities and services is good for business. Business owners are quick to adjust to higher prices regardless of how it is induced and sometimes even profit from it in sectors not affected by inflation. So in such sectors, as business improves,  it is assumed that there is a requirement to being in more hands to help with the expansion of the business.

2. The correct option is B) Holds for certain time periods

Explanation

Social scientists and researchers have plotted the data across various periods (20 years) using data from the US economy.

The following results emerged:

So the correct answer is B.

3. The correct answer is True:

Explanation

As seen from the analysis above, the negative relationship remains largely true for most of the periods examined. Hence it is more pragmatic to expect a dip in unemployment whenever there is a spike in the CPI.

Cheers

The Area of triangle represented using inequality is A ≤  48.67 [tex]ft^{2}[/tex].

The area of a triangle is half the product of its base and height.

i.e., Area of triangle= [tex]\frac{1}{2} * b* h[/tex]

Given, b= 6.2 feet and h= 15.7 feet

Area of triangle= [tex]\frac{1}{2} * b* h[/tex]

                          = 0.5 x 6.2 x 15.7

                          = 48.67 [tex]ft^{2}[/tex]

The inequality will be: Area of triangle, A≤  48.67 [tex]ft^{2}[/tex]

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Answer:

b=6

[tex]a^{2} + b^{2} = c^{2} \\ {8}^{2} + {b}^{2} = {10}^{2} \\ 64 + {b}^{2} = 100 \\ 100 - 64 = {b}^{2} \\ 36 = {b}^{2} \\ \sqrt{36} = \sqrt{ {b}^{2} } \\ 6 = b[/tex]

Answer:

y = 4x - 1

Step-by-step explanation:

y = mx + b

Here m is slope and b is y-intercept

m = 4;  b = -1  

y = 4x - 1

Answer: x=8

Step-by-step explanation:

We know that it is a square, so the diagonals divide the four triangles evenly.

A whole circle will have 360°. When it is divides into 4, each angle will be

360/4=90°

The vertex of each triangle will be 90°

And the given vertex equation is 8x+26

8x+26=90

8x+26-26=90-26

8x=64

x=8

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1 = 20°

2 = 90°

3 = 70°

4 = 55°