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3 years ago

Y=3x-2 Y=-x+6 Soving linear equations by substitution

1 answer:

7 0

Subsitution is subsituting
y=3x-2
y=-x+6
subsitute 3x-2 for y in second equation
3x-2=-x+6
add x to both sides
4x-2=6
add 2 to both sides
4x=8
divide both sides by 4
x=2
subsitute
y=-x+6
y=-2+6
y=4

x=2
y=4

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When Vivian was born, her grandparents decided to help save for her college education. They put $2000 in an account that pays 1.

melomori [17]

Answer:

P = 2000 * (1.00325)^(t*4)

(With t in years)

Step-by-step explanation:

The formula that can be used to calculated a compounded interest is:

P = Po * (1 + r/n) ^ (t*n)

Where P is the final value after t years, Po is the inicial value (Po = 2000), r is the annual interest (r = 1.3% = 0.013) and n is a value adjusted with the compound rate (in this case, it is compounded quarterly, so n = 4)

Then, we can write the equation:

P = 2000 * (1 + 0.013/4)^(t*4)

P = 2000 * (1.00325)^(t*4)

4 0

3 years ago

Find all roots x(x-1)(x-2) like find solution

Inessa05 [86]

$x(x-1)(x-2)=0\\
x=0 \vee x=1 \vee x=2$

3 0

3 years ago

Starting at home, Luis traveled uphill to the gift store for 50 minutes at just 6 mph. He then traveled back home along the same

Georgia [21]

Answer:

Therefore his average speed for the entire trip is 8 mph.

Step-by-step explanation:

Given, In 50 minutes Luis traveled uphill to gift store at 6 mph.

6 mph means in 1 h= 60 minutes Luis can covered 6 mile.

In 1 minutes Luis can covered $\frac{6}{60}$ mile.

In 50 minutes Luis can covered $\frac{6\times 50}{60}$ mile

= 5 mile

Again when he come back at home, the speed was 12 mph.

12 mph means in 1 h= 60 minutes Luis can covered 12 mile.

Therefore he traveled 12 mile in 60 minutes

He traveled 1 mile in $\frac{60}{12}$ minutes.

He traveled 5 mile in $\frac{60\times 5}{12}$ minutes

= 25 minutes.

Total distance for the entire trip is =(5+5) mile=10 mile

Total time for the entire trip is = (50+25) minutes = 75 minutes

$\textrm{Average speed}=\frac{\textrm{Total distance}}{\Textrm {total time}}$

$=\frac{10}{75}$ m/min

$=\frac{10\times 60}{75}$ mph

= 8 mph

Therefore his average speed for the entire trip is 8 mph.

4 0

3 years ago

The weight P in pounds that a beam can safely carry is inversely proportional to the distance D in feet between the support beam

Leona [35]

Rewriting the function we have:
p = 9200 / D
We must in this case clear the value of D.
We have then:
D = 9200 / p
Substituting the value of p = 1600 lb we have:
D = 9200/1600
D = 5.75 feet
Answer:
the distance between supports that is needed to carry 1600 lb is:
D = 5.75 feet

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3 years ago

Which of the following is equivalent to the expression below (-3+5)+(m-11

Liula [17]

<h2><u>Answer:</u></h2><h3>m-9</h3><h3><u>Step-by-step explanation:</u></h3><h3><u>Let's simplify step-by-step.</u></h3>

−3+5+m−11

=−3+5+m+−11

<h3><u>Combine Like Terms:</u></h3>

=−3+5+m+−11

=(m)+(−3+5+−11)

=m+−9

<h3><u>Answer:</u></h3>

=m−9

ŸÔÛ ÀRÉ VÉRŸ WÈLÇÖMÈ ......

6 0

3 years ago