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2 years ago

Decide whether it would be more convenient to solve the system of equations by substitution or elimination.

Mathematics

1 answer:

mixer [17]2 years ago

4 0

Answer:

I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!

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What is this 16/6.72 thank you

kvv77 [185]

Hm in decimal form it’s .. 2.38095 or 2.3. Fraction 23/10 .. Percentage is 239%.. If this doesn’t help. Tell me what u mean and I’ll try my best to help!

6 0

2 years ago

Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x

Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

<u>Vertex form</u>

$y=a(x-h)^2+k$

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

$\implies a=3$

Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

$\implies 3(x-1)^2-108=0$

$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

7 0

2 years ago

What is 15% of 12 meters

melomori [17]

Think of the "of" as a multiplication sign:
(.15)(12)= 1.8 meters
There you go! hope this helps with this problem and future ones.

7 0

3 years ago

Read 2 more answers

Angle 3 and angle 4 are supplementary angles. Angle 3 is 88. What is the measure of angle 4?

Mademuasel [1]

Since angles 3 and 4 are supplementary, they add up to 180 degrees.

Angle 3 is 88 degrees.

To get the measure of the last angle, let's subtract 88 from 180.

180 - 88 = 92

Thus, Angle 4 has a measure of 92 degrees.

Have an awesome day! :)

7 0

3 years ago

Read 2 more answers

What is the sum of an 8-term geometric series if the first term is -11, the last term is 859,375, and the common ratio is -5?

NikAS [45]

Formula of the sum of the 1st nth term in a Geometric Progression:

Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)

Sum = (-11)[1-(-5⁸)] /[(1-(-5)]

Sum = (-11)(1- 390625)/(6)

SUM = 716,144

3 0

3 years ago