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2 years ago

What is the constant in the following expression? 1/2x + 7y + z + 13

Mathematics

2 answers:

Inessa05 [86]2 years ago

6 0

Correct answer is 13 cause constant is just a number by itself in an equation

rosijanka [135]2 years ago

3 0

the 13 is the constant

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Rewrite the following equation in slope-intercept form. 17x + 15y = 5 Write your answer using integers, proper fractions, and im

omeli [17]

Answer:
y = $\frac{-17}{15} x$ + $\frac{1}{3}$

Explanation:
The slope-intercept form of the equation has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
17x + 15y = 5

To put it in the slope-intercept formula, we should isolate the y as follows:
17x + 15y = 5
15y = -17x + 5
y = (-17/15) x + (5/15)
y = $\frac{-17}{15} x$ + $\frac{1}{3}$
where:
m is the slope = -17/15
c is the y-intercept = 1/3

Hope this helps :)

7 0

3 years ago

Need help plz very difficult

Oksanka [162]

Answer:

D - 9x^(2)+2x-5

Step-by-step explanation:

6 0

2 years ago

PLEASE HELP!!!

vovangra [49]

Answer:

<em>Michael drove faster than Jordan.</em>

Step-by-step explanation:

<u>Speed</u>

The speed is the ratio between the distance d traveled by an object and the time t it took to move. In terms of a mathematical equation, it's expressed as:

$\displaystyle v=\frac{d}{t}$

Michael drove 210 miles in 3 and one-half hours. The parameters to calculate the speed are: d= 210 miles, t = 3.5 hours. The speed of Michael is:

$\displaystyle v_M=\frac{210}{3.5}=60\ mi/h$

Jordan drove 330 miles in 6 hours, thus his speed is:

$\displaystyle v_J=\frac{330}{6}=55\ mi/h$

It's clear that Michael drove faster than Jordan.

8 0

3 years ago

Sam’s business manufactures 5 times as many widgets as Mary does every hour but Sam needs to stop for a few minutes every hour a

natita [175]

Answer:
A) S=5M-3

Explanation:

6 0

3 years ago

Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She

qaws [65]

<h3>Answer: 16 ft by 25 ft</h3>

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

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\$

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0

1 year ago