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4 years ago

13

Let f(x) = - 4x - 1 and g(x) = x2 + 3.

1 answer:

mariarad [96]4 years ago

6 0

Answer:

- 77

Step-by-step explanation:

To evaluate, substitute x = 4 into g(x) then substitute the value obtained into f(x).

g(4) = 4² + 3 = 16 + 3 = 19

f(19) = (- 4 × 19) - 1 = - 76 - 1 = - 77

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Mekhanik [1.2K]

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13= pounds=6000 tons= 1, 1.5

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3 years ago

1) Erica bought a car for $24,000. She had to add Pennsylvania's sales tax of 6%. The total price of the car is closest to?

Lina20 [59]

To find the car's total price, add the tax paid to the car's original price.

$32800 + $1968 = $34768

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3 years ago

Read 2 more answers

On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)

xz_007 [3.2K]

Answer:

$P = 10 + 2\sqrt{53}$ units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3), X (2, 3),

Y (4, -4), Z (-3, -2)

Required

Determine perimeter of the kite

First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

For WX:

$(x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)$

$WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}$

$WX = \sqrt{(-5)^2 + (0)^2}$

$WX = \sqrt{25}$

$WX = 5$

For XY:

$(x_1, y_1)\ (x_2,y_2) = (2, 3)\ (4,-4)$

$XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}$

$XY = \sqrt{-2^2 + (3 +4)^2}$

$XY = \sqrt{-2^2 + 7^2}$

$XY = \sqrt{4 + 49}$

$XY = \sqrt{53}$

For YZ:

$(x_1, y_1)\ (x_2,y_2) = (4,-4)\ (-3, -2)$

$YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}$

$YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}$

$YZ = \sqrt{7^2 + (-2)^2}$

$YZ = \sqrt{49 + 4}$

$YZ = \sqrt{53}$

For ZW:

$(x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)$

$ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}$

$ZW = \sqrt{(-3 +3)^2 + (-2 - 3)^2}$

$ZW = \sqrt{0^2 + (-5)^2}$

$ZW = \sqrt{0 + 25}$

$ZW = \sqrt{25}$

$ZW = 5$

The Perimeter (P) is as follows:

$P = WX + XY + YZ + ZW$

$P = 5 + \sqrt{53} + \sqrt{53} + 5$

$P = 5 + 5 + \sqrt{53} + \sqrt{53}$

$P = 10 + 2\sqrt{53}$ units

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4 years ago

A factory produces fuses, which are packaged in boxes of 22. Four fuses are selected at random from each box for inspection. The

mojhsa [17]

The probability of finding one of the two defective fuses is:
$\frac{2C1\times20C3}{22C4}=0.3117$
The probability of finding 2 defective fuses is: $\frac{2C2\times20C2}{22C4}=0.026$
Therefore the probability of rejecting is 0.3117 + 0.026 = 0.3377.

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3 years ago

If someone can do this with in next hour and half before its due that would be awesome!!!

Andru [333]

Isolate, variable, inverse, substitute, solution, balanced

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3 years ago