MATHEMATICS
MIDDLE SCHOOL

Answer:

The slope-intercept form is y=mx + b, where m=slope and b=y-intercept. So,

the equation is y= -4x+2

Answer: The slope formula is y=mx+b

With m being the slope

And b being the y-intercept

y=-4x+2

Hope this helps! :)

With m being the slope

And b being the y-intercept

y=-4x+2

Hope this helps! :)

MIDDLE SCHOOL

What is the multiplicity of the zero of the polynomial function f(x)=(x+5)^4

Multiplicity would be 4

HIGH SCHOOL

Name the ways to prove two triangles are similar

Similarity criterions AA amd SSS

Using a proportion....

MIDDLE SCHOOL

Solve the inequality 8(x + 1) > 7(x + 2). x < -22

x > -22

x < 6

x > 6

The required solution for the given inequality is given as x > 6. Option D is correct.

As mentioned, to determine the solution 8(x + 1) > 7(x + 2).

What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, ) instead of the equal sign in an equation.

Here,

8(x + 1) > 7(x + 2)

8x + 8 > 7x + 14

8x - 7x > 14 - 8

x > 6

Thus, the required solution of the given inequality is x >6 Option D is correct.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2

Hello there!

8(x + 1) > 7(x + 2)

Start by using the distributive property

(8)(x) + (8)(1) > (7)(x) + (7)(2)

8x + 8 > 7x + 14

8x - 7x + 8 > 7x - 7x + 14

x + 8 > 14

x > 14 - 8

x > 6

8(x + 1) > 7(x + 2)

Start by using the distributive property

(8)(x) + (8)(1) > (7)(x) + (7)(2)

8x + 8 > 7x + 14

8x - 7x + 8 > 7x - 7x + 14

x + 8 > 14

x > 14 - 8

x > 6

HIGH SCHOOL

Which statement most accurately describes how a light bulb is affected by a switch in a circuilt that consists of a single loop? A. The light bulb will be on regardless of the state of the switch

B. The light bulb will be off regardless of the state of the switch

C. The light bulb will be on if the switch is open

D. The light bulb will be off if the switch is open

The light bulb will be off if the switch is open

Answer: The light bulb will be off if the switch is open,

Step-by-step explanation:

We know that the electric current cannot flow through an open circuit.

Therefore when the switch will be off, then the circuit is open and thus current cannot flow through it. Moreover each circuit has wires connected to each of the two terminals of the battery along with a light bulb.

Hence, the D is the correct option. " The light bulb will be off if the switch is open".

MIDDLE SCHOOL

Is 70°80° 30° a unique triangle , many triangle or no triangle

Answer:

Many triangles.

Step-by-step explanation:

The fact that the three angles add up to 180 degrees allows you to say this is a valid triangle proposal.

But because we are not given a size of any of the three sides, you can reject the proposal that this is a single triangle, and it is easy to show why: Suppose there is a single triangle with these angles. Then double each of its three sides. Now we have two triangles with the same three angles. According to our assumption, they must be congruent! Well, they are similar, for starters. However, none of our known congruence postulates (ASA, SAS) apply because the two triangles have every side of different length! This implies they cannot be guaranteed to be congruent which is a contradiction and the the two triangles (original and doubled one) are not the same, yet they have the same angles. Therefore, we can construct many (actually, infinite number of) triangles with these angles.

HIGH SCHOOL

An algebra test had two parts. Part I had 40 problems, and part II had 60 problems. Bernard got 80% of the problems on part I correct and 90% of the problems on part II correct. What was the total number of problems that Bernard got correct on the test? How do I figure this out?

An algebra test had two parts.

=> Part I had 40 problems

=> and part II had 60 problems.

Bernard got 80% of the problems on part I correct and 90% of the problems on part II correct. What was the total number of problems that Bernard got correct on the test.

Part 1

=> 40 problems and Bernard was able to answer correctly that 80% of it

=> 40 * .80 = 32 questions are correct

Part 2

=> 60 problems and Bernard was able to answer correctly the 90% of it.

=> 60 * .90 = 54 questions got correct answers.

=> Part I had 40 problems

=> and part II had 60 problems.

Bernard got 80% of the problems on part I correct and 90% of the problems on part II correct. What was the total number of problems that Bernard got correct on the test.

Part 1

=> 40 problems and Bernard was able to answer correctly that 80% of it

=> 40 * .80 = 32 questions are correct

Part 2

=> 60 problems and Bernard was able to answer correctly the 90% of it.

=> 60 * .90 = 54 questions got correct answers.

HIGH SCHOOL

4x+3y=5 2x-5y=-17

What is the answer i need help i forgot how to do it a little help would be good?

We will solve the system of equations:

4 x + 3 y = 5

2 x - 5 y = - 17 / * ( - 2 ) / We will multiply both sides of an equation by - 2.

----------------------------------

4 x + 3 y = 5

+

- 4 x + 10 y = 34

-------------------------

13 y = 39

y = 39 : 13

y = 3

4 x + 3 * 3 = 5

4 x + 9 = 5

4 x = 5 - 9

4 x = - 4

x = - 4 : 4

x = - 1

Answer: x = - 1, y = 3.

4 x + 3 y = 5

2 x - 5 y = - 17 / * ( - 2 ) / We will multiply both sides of an equation by - 2.

----------------------------------

4 x + 3 y = 5

+

- 4 x + 10 y = 34

-------------------------

13 y = 39

y = 39 : 13

y = 3

4 x + 3 * 3 = 5

4 x + 9 = 5

4 x = 5 - 9

4 x = - 4

x = - 4 : 4

x = - 1

Answer: x = - 1, y = 3.

MIDDLE SCHOOL

150 in the ratio 4:1

Answer:

120 : 30

Step-by-step explanation:

Sum the parts of the ratio, 4 + 1 = 5 parts

Divide 150 by 5 to find the value of one part of the ratio.

150 ÷ 5 = 30 ← value of 1 part of the ratio, thus

4 parts = 4 × 30 = 120

150 in the ratio 4 : 1 is 120 : 30

150 in the ratio 4:1 is =30

COLLEGE

The expression 1/3b−1/3 factored is

Answer:

Step-by-step explanation:

we have

Factor the coefficient of both terms

(1/3)(b-1) is the simplest set of factors.