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Leto [7]
3 years ago
10

Use the substitution method to solve the system of equations. y=7x +8 y=x +20​

Mathematics
1 answer:
DanielleElmas [232]3 years ago
3 0

Answer:

<h2>x = 2, y = 22 → (2, 22)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=7x+8&(1)\\y=x+20&(2)\end{array}\right\qquad\text{substitute (1) to (2):}\\\\7x+8=x+20\qquad\text{subtract 8 from both sides}\\7x=x+12\qquad\text{subtract x from both sides}\\6x=12\qquad\text{divide both sides by 6}\\x=2\\\\\text{put the value of x to (2):}\\\\y=2+22\\y=22

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-2-(-9)-(-2)<br>plz show work​
BaLLatris [955]

Answer:

-2-(-9)-(-2)=-2+9+2

=9

3 0
2 years ago
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A TV has a listed price of $ 682.98 before tax. If the sales tax rate is 6.25% , find the total cost of the TV with sales tax in
Drupady [299]

Answer:

725.7

Step-by-step explanation:

you multiply 682.98 x 6.25% and get 42.68625

then you add 682.98 + 42.68625 and get 725.66625

then you have to round to the nearest hundredth and get 725.7.

6 0
3 years ago
The following lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Has Lung Disea
Anna71 [15]

Answer:

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Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Does not smoke

Event B: Lung disease

Lung Disease/Nonsmoker 0.03

This means that P(A \cap B) = 0.03

Lung Disease/Nonsmoker 0.03

No Lung Disease/Nonsmoker 0.7

This means that P(A) = 0.03 + 0.7 = 0.73

What is the probability of the following event: He has lung disease given that he does not smoke?

P(B|A) = \frac{0.03}{0.73} = 0.0411

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5 0
3 years ago
the area of the top of a rectangular table is 323 square feet. If the length of the table is 19 feet , what is the width
sergejj [24]

Answer:

hello :

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l = A/w

l = 323/ 19

l = 17 feet


4 0
3 years ago
Write an equation that defines the exponential function with base a &gt; 0.
inessss [21]
<span>The equation fpxq =ax defines an exponential function with base a. The domain of the function is all real numbers.</span>
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3 years ago
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