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Aleks [24]
2 years ago
8

A system of equations is given below:

Mathematics
1 answer:
algol [13]2 years ago
4 0

The given system of equations is:

y = 4x − 3 ...(1)

2x + 7y = 41 ...(2)

Notice that the first equation is a solved equation for y. So, we can simply substitute 4x-3 for y in equation (2) to solve. This method is also knwon as substitution method by which we can plug in one equation into other equation.

So, if we will substitute y=4x-3 in equation (2) then we will get,

2x+7(4x-3)=41

Hence, third choice 2x + 7(4x − 3) = 41 is the correct answer.

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Tony and Manuel were trimming the branches of a tree. Tony was using an 18 ft ladder and Manuel was using a 24 ft ladder. Both l
REY [17]

Answer:

9.33 feet = 111.96 inches

Step-by-step explanation:

If we have similar triangles, the rate between matching sides is the same.

So the length of the smaller ladder (18 ft) over the length of the taller ladder (24 ft) is equal to the distance from the bottom of the smaller ladder to the tree (7 ft) over the distance from the bottom of the taller ladder to the tree (x ft):

18 / 7 = 24 / x

x = 7 * 24 / 18

x = 9.33 feet

To find this measure in inches, we just need to multiply by 12:

x = 9.33 * 12 =  111.96 inches

3 0
2 years ago
The price of a math book after a discount of 25% is $36. What is the original price of the math book?
UNO [17]
If $36=75%,
That means we can divide both sides by three to get $12=25%,
And because 25x4 is 100, we multiply both sides of the equation by 4 to get $48=100%,
So the answer is $48 dollars.

This also worked for me but I’m not sure it’s the most reliable way:
36 ÷ 0.75 = 48
(amount after discount ÷ percentage that is remaining)
3 0
2 years ago
O find the minimum value of the quadratic expression −4x2+8x−25,
fredd [130]

Answer:

Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x

Step-by-step explanation:

we have

-4x^{2}+8x-25

This is a vertical parabola open downward

The vertex is a maximum

Find the vertex

step 1

Factor the leading coefficient -4

-4(x^{2}-2x)-25

step 2

Complete the square

-4(x^{2}-2x+1-1)-25

step 3

-4(x^{2}-2x+1)-25+4

-4(x^{2}-2x+1)-21

step 4

Rewrite as perfect squares

-4(x-1)^{2}-21

the vertex is the point (1,-21)

so

The maximum value of the quadratic equation is (1,-21)

therefore

Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x

5 0
2 years ago
The ability to examine the variability of a solution due to changes in the formulation of a problem is an important part of the
never [62]

Answer:

sensitivity analysis

Step-by-step explanation:

The ability to examine the variability of a solution due to changes in the formulation of a problem is an important part of the analysis of the results. This type of analysis is called Sensitivity analysis.

It helps us figure out the robustness of a system or model in the presence of an uncertainty

It also increases the relationship between the inputs and outputs from the system or model

6 0
2 years ago
Use operations of decimal, fraction, and percent numbers and your models from Part (b) to solve the following application proble
KIM [24]
2. $5.10 
4. 18%
I don't feel like doing 5 right now I'm watching hulu haha 
4 0
2 years ago
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