Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).
f(x) = -4x – 7
g(x) = x² + 7x – 2
​

Answer:

4

Step-by-step explanation:

Answer:

All points satisfy the inequality

Step-by-step explanation:

Given

[tex]5x + 2y \le 26[/tex]

Required

Select all points that satisfy the above inequality

[tex](a)\ (0,5)[/tex]

This implies that

[tex]x = 0; y = 5[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * 0 + 2 * 5 \le 26[/tex]

[tex]0 + 10 \le 26[/tex]

[tex]10 \le 26[/tex]

This satisfy the inequality

[tex](b)\ (3,1)[/tex]

This implies that

[tex]x = 3;\ y =1[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * 3 + 2 * 1 \le 26[/tex]

[tex]15 + 2 \le 26[/tex]

[tex]17 \le 26[/tex]

This satisfy the inequality

[tex](c)\ (3,-4)[/tex]

This implies that:

[tex]x = 3; y-4[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * 3 + 2 * -4 \le 26[/tex]

[tex]15 -8 \le 26[/tex]

[tex]7 \le 26[/tex]

This satisfy the inequality

[tex](d)\ (-4,1)[/tex]

This implies that:

[tex]x = -4; y =1[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * -4 + 2 *1 \le 26[/tex]

[tex]-20 + 2 \le 26[/tex]

[tex]-18 \le 26[/tex]

This satisfy the inequality

After 20 years, the amount of Money Amelia would have more than Melanie would be $181,551.37.

The formula for calculating future value:

FV = P (1 + r) nm

9800(1 + 0.0125)^80 = 23,983.29

the formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

9800 e^0.0475 x 20 = 205,534.66

Difference = 205,534.66 - 23,983.29 = $181,551.37

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

156

Step-by-step explanation:

Given the data:

Age (X) :

38

41

45

48

51

53

57

61

65

Pressure(Y) :

116

120

123

131

142

145

148

150

152

From the data, we could obtain a regression equation to mod the data Given using a linear regression calculator :

The regression equation obtained is :

y = 1.48769X + 60.46103

Using the model, the predicted blood pressure for a person aged 64 will be :

y = 1.48769(64) + 60.46103

y = 95.21216 + 60.46103

y = 155.67319

y = 156 (nearest whole number)

Answer:

138

Step-by-step explanation:

a+b/2xh

Answer:

288 in^3

Step-by-step explanation:

1) find the volume of the cube

V = side^3 = 6^3 = 216 in^3

2) find the base surface of the pyramid:

base surface = side^2 = 6^2 = 36 in^2

3) find the height of the pyramid:

height of the solid - height of the cube = 12 - 6 = 6 in

4) find the volume of the pyramid:

V = (base area x height) / 3 = (36 x 6)/3 = 72 in^3

5) add up the two volumes

V = 216 + 72 = 288 in^3

Answer:

159.69*0.75 = 119.76

Step-by-step explanation:

Cause we have a 25% discount, that means that the skatebord costs 75% of its original price.

The 75% of the original price is the 75/100 part (0.75)

Answer:

176π [tex]units^{2}[/tex]

Step-by-step explanation:

SA = B + LA  where B is the area of the base (circle) and LA is the lateral area

LA = radius of the circle times the slant height

    = 8π(14) = 112π

B = [tex]8^{2} \pi[/tex] = 64π

SA = 112π + 64π = 176π

The surface area of the right cone is 176π square units.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, cone etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

We are given that;

The surface area of a right cone is given by the formula:

Surface area=πr(r+l)

where r is the radius of the base and l is the slant height of the cone12.

In this case, r=8 and l=14, so we can plug these values into the formula and simplify:

Surface area=π×8(8+14)

Surface area=π×8×22

Surface area=176π

Therefore, the surface area will be 176π square units.

Learn more about area of a composite figure here:

https://brainly.com/question/10254615

#SPJ7

Answer:

45

Step-by-step explanation:

180 - 135 = 45

The measure of angle 2 is 45.

3 has more letters than 5. Hence 3 is greater than 5

Answer:

The coordinates of D are -1,0

Step-by-step explanation:

I believe

Answer:

386

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

Let the sides of the triangle be a, b and c.

We have:

Substitute values and solve for b:

Find a and c:

The sides are: 7, 9, 13

Answer:

6root3

Step-by-step explanation:

Answer:

6 radical 3

Step-by-step explanation:

Answer:

.08cm or 0.08cm

Step-by-step explanation:

First of all, we can see that 20mm is in millimeters, not centimeters.

If we convert the ones in centimeters to millimeters, it will result in decimals, which I want to avoid, but you could also do it that way.

There are 10 mm in 1 cm, so I multiply all of the values in cm by 10.

So now, we have that the volume is 1760mm, the length is 110mm, and the width is 20mm.

The formula for the volume of a cuboid is: [tex]w*l*h = volume[/tex]

We have the width, length, and volume, so let's plug it in.

[tex]20*110*h=1760[/tex]

To solve for h:

1. Multiply 20 and 100

[tex]2200*h=1760[/tex]

2. Divide both sides by 2200

[tex]h = 1760/2200[/tex]

3. Divide right side

h = 0.8

Keep in mind that this is in millimeters. In centimeters, it would be .08

Answer:

last one, 4th

i really hope it helps.

Answer:

There are 20 odd numbers between 10 and 50

Step-by-step explanation:

Here are all the odd numbers! Hope this helps!

11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49

Answer:

6 b 7 d give me brainlest

Step-by-step explanation:

Answer:

118.25

Step-by-step explanation

If the tax is in percent, divide the tax rate by 100. You do this by moving the decimal point two spaces to the left. In this, there's 7.5/100 = 0.0

Find the tax value by multiplying tax rate by the item value:

tax = 110 × 0.075

tax = 8.25

Answer: ( 1.5, -3)

Step-by-step explanation:

You need to just look at the x and y axis and you see that the x axis is at 1.5 and the y axis is at -3.

Answer:

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Step-by-step explanation:

Let

x = $0.85 per pound

y = $2.70 per pound

x + y = 21 (1)

0.85x + 2.70y = 19.95 (2)

From (1)

x = 21 - y

Substitute x = 21 - y into (2)

0.85x + 2.70y = 19.95 (2)

0.85(21 - y) + 2.70y = 19.95

17.85 - 0.85y + 2.70y = 19.95

- 0.85y + 2.70y = 19.95 - 17.85

1.85y = 2.1

y = 2.1 / 1.85

y = 1.14

Substitute y = 1.14 into (2)

0.85x + 2.70y = 19.95

0.85x + 2.70(1.14) = 19.95

0.85x + 3.078 = 19.95

0.85x = 19.95 - 3.078

0.85x = 16.872

x = 16.872 / 0.85

x = 19.85

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Answer:

287.25 sq in

Step-by-step explanation:

Answer: This is what I get.

Step-by-step explanation:

Answer:

200.96

Step-by-step explanation:

pi*r^2

Answer:

A right circular cone

Step-by-step explanation:

Answer: The answer to this question is A