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3 years ago

7 - 2x if x = -4 And show your work

Mathematics

1 answer:

uysha [10]3 years ago

8 0

Answer: 15

Step-by-step explanation: To evaluate an expression, we plug the value of the variable into the expression and simplify.

Since we have 7 - 2x and x is -4, we have 7 - 2(-4).

Simplifying from here, 2(-4) is -8 so we have 7 - (-8).

Now, remember that a a minus sign followed by a

negative sign turns the two signs into a plus sign.

So 7 - (-8) can be thought of as 7 + (+8) which is 15.

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Find the x-intercept and y-intercept of the graph of of the equation: y=8-3x

soldier1979 [14.2K]

Answer:

x-intercept: x = 8/3

y-intercept: y = 8

Step-by-step explanation:

x-intercept

$y = 8 - 3x$

$0 = 8 - 3x$

$3x = 8$

$x = \frac{8}{3}$

••••

y-intercept

$y = 8 - 3x$

$y = 8 - 3 \times 0$

$y = 8$

3 0

2 years ago

Write the standard form of the equation of the circle with the given characteristics.

SOVA2 [1]

<h2><u>Circle Equations</u></h2>

<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

<u>(h, k)</u> is the center; and
<u>r</u> is the radius

Substitute the values of the center and radius to the standard form.

<u>Given:</u>

<u>(0, 0)</u> - <u>center</u>

<u>2</u> - <u>radius</u>

(x - h)² + (y - k)² = 2²
(x - 0)² + (y - 0)² = 4
x² + y² = 4

<u>Answer:</u>

The equation of the circle is <u>x² + y² = 4</u>.

Wxndy~~

7 0

2 years ago

PLEASE HELP ILL GIVE BRAINLIEST

DanielleElmas [232]

Option A:

$(x-5)^{2}+(y-3)^{2}=16$

Solution:

Given data:

Center of the circle is (5, 3).

Radius of the circle = 4

To find the equation of the circle:

The general form of the equation of a circle in centre-radius format is

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where (h, k) is the centre of the circle and r is the radius of the circle.

Substitute the given values in the equation of a circle formula:

$(x-5)^{2}+(y-3)^{2}=4^{2}$

$(x-5)^{2}+(y-3)^{2}=16$

The equation of the given circle is $(x-5)^{2}+(y-3)^{2}=16$ .

Hence Option A is the correct answer.

5 0

3 years ago

If a 25 in. by 32 in. window has a wooden frame 2 inches wide surrounding it, what is the total area of the window and frame?

d1i1m1o1n [39]

Answer:

1044 sq. inches

Step-by-step explanation:

The frame adds 2 inches on each side of the window, so the width becomes 29 in. and the length becomes 36 in.

Area = width × length

So the total area of the window and the frame is:

A = 29 × 36 = 1044 in²

7 0

3 years ago

The batteries from a certain manufacturer have a mean lifetime of 850 hours, with a standard deviation of 70 hours, assuming tha

matrenka [14]

To answer (a), we will need to find the Z value for 710 hours and 990 hours.

$\begin{gathered} For\text{ 710} \\ Z\text{ = }\frac{x-\mu}{\sigma} \\ \text{ = }\frac{710-850}{70} \\ \text{ = -2} \\ p\text{ =0.0228 } \\ For\text{ 990:} \\ Z\text{ = }\frac{990-850}{70} \\ \text{ =2} \\ p\text{ = 0.9772} \end{gathered}$ $\begin{gathered} To\text{ find P \lparen–2 \le Z \le 2\rparen} \\ =\text{ 0.9772 -0.0228} \\ =\text{ 0.9544} \\ =95.44\% \end{gathered}$

B) 68% of data lies between one standard deviation of the mean.

850 +70 = 920

850 - 70 = 780

5 0

1 year ago