MATHEMATICS MIDDLE SCHOOL

Which equation involves a prime quadratic and cannot be solved by factoring? A. x2 + 5x − 4 = 0 B. x2 − x − 6 = 0 C. x2 + 3x − 4 = 0 D. x2 + 6x + 9 = 0 Reset

Answers

Answer 1

Answer:

Answer:

Option A

Step-by-step explanation:

We can try to factorize all the options one by one.

For A:

$x^(2) +5x-4\n=> x^(2)+4x+x-4\n=>x(x+4)+1(x-4)$

We can see that the quadratic expression cannot be solved by factorization as the factors at the end of factorization are not equal in both brackets. So Option A is the correct answer for the given question.

Moreover we can also note that all the other quadratic expressions can be factorized ..

Answer 2

Answer:

Answer:

x2 + 5x − 4 = 0

Step-by-step explanation:

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If an average 7th grade student weighs 91 pounds and Hugo the Elephant weighs 18,130 pounds, about how many average 7th grade students would be needed to equal the weight of Hugo?

Answers

Divide 18,130 by 91 and you get 199.23 so it is 199 students.

The elephant weighs 18,130, and we want to see how many seventh graders weighing 91 pounds it will take to equal the weight of the elephant.

To find our answer, we divide 18,130 by 91.

18,130÷91 = 199.2307

Since you said about how many average 7th grade students, it means you only need an estimate, not an exact number.

The final answer is 199 average seventh-grade students.

Have a wonderful day! :D

I WILL AWARD BRAINLIEST!In the figure, a║b. Find x+y in terms of z and w.
A. 180°+z−w
B. 180°–z−w
C. w−z
D. 180°+w−z

Answers

Answer:

A. 180°+z−w

Step-by-step explanation:

We know that x + w = 180 because they are same side exterior angles and a and b are parallel.

z=y because they are alternate interior angles and a and b are parallel.

x + w = 180

Solve for x by subtracting w from each side

x = 180-w

y =z

Lets find x+y

x+y

(180-w) +z

Rewriting

180+z-w

Answer:

A. 180º + z - w

Step-by-step explanation:

x + w = 180, because they are same side exterior angles, and are on opposite sides.

z = y, because if you move z down, then you will see that they overlap.

From x + w = 180, you can get x = 180 - w.

We are trying to find x + y in terms of w and z, so:

x = 180 - w

y = z

With that, you can assemble the expression, 180 - w + z.

If you re-arrange, you will get 180 + z - w.

Therefore, A is the answer.

Reduce the ratio 14:63

Answers

14:63

Divide both numbers to get the most simple ratio.

14/7 = 2
63/7 = 9

2:9 is our final answer

14:63.
14/7 = 2
63/7 = 9
Reduced ratio:- 14:63 = 2:9.

Ryan and Sarah are looking at cell phone plans. A group plan will cost $120.95 per month. An individual plan will cost $62.77 per month. Should Ryan and Sarah purchase a group plant or two individual plans? Justify your answer. How much money could they save?

Answers

this is easy
each month they either pay
120.95 per month for 2 people
or
62.77 per month per person or 62.77 time 2 people

so find which is greater: 120.95 or 62.77 times 2

find 62.77 times 2
we find that it is 125.54

125.54 is greater than 120.95
therefor it is less cost to buy a group plan
the could save 125.54-120.95=4.59

answers:
group plan
save $4.59

A group plan because on that one they will pay 120.95 and in a individual plan they will pay 125.54 so in a group plan you pay 4.59 dollars less so thats why a group plan is the best option

Solve each proportion.
6/19=x-12/2x-2
What’s the answer?

Answers

the solution for the given equation is x = 30.857.

What is proportionality?

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given an equation, 6/19=x-12/2x-2

Simplifying this using PEMDAS

cross multiple the equation

12x -12 = 19x -12*19

on the same side

-7x = -228 +12

-7x = -216

x = 216/7

x = 30.857

Therefore, the solution for the given equation is x = 30.857.

Learn more about proportionalities here:

brainly.com/question/3254974