Match the Vocab Word to the definition.

Remember, you are allowed to use your notes to help you!
Question 1 options:

Multiply a sum by multiplying each addend separately and then adding the products.
∙a(b + c) = ab + ac
∙k(m – n) = km - kn

Part of an expression that is added or subtracted.
∙These can be a single number or a variable, or
numbers and variables multiplied together.

A letter or symbol that represents a value.

It's a number on its own, it has a fixed value.

The number in front of a variable.

1.

Distributive Property
2.

Term
3.

Variable
4.

Constant
5.

Coefficient

Answer:

Step-by-step explanation:

f(x) = x²

1. Vertex ( 0 ,0)

2) a > 0 , opening upward

3) minimum

4) Axis of symmetry : x = 0

5) Range:  y ≥ 0  

Quotient:

[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]

Remainder:

[tex]f(x) = 9x^2+68x+35[/tex]

By the remainder theorem,

[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]

Which is the remainder when f(x) is divided by (x+7)

Answer:

sorry but i don't know the answer

Answer:

the equation is y=x^2+8

Answer:

2√5

Step-by-step explanation:

√125-√45​

5√5 - 3√5........simplify

2√5....................combine like terms

125 √45

125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2

125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2hope it helps u

what is on your nose in your pic

Answer:

4, 9v, and 6w

Step-by-step explanation:

I'm pretty sure it's right

I would go with Triangle

Answer:

12 in.

Step-by-step explanation:

1. area can be calculated as A=s1*s2, where s1 and s2 are the largest and shortest sides.

2. according to the formula before A=(20-x)(x-5). But according to the condition A=36, then (20-x)(x-5)=36;

3. if to solve this quadratic equation, then

-x²+25x-136=0;

[tex]\left[\begin{array}{ccc}x=17\\x=8\end{array}[/tex]

4. if x=3;12, then the sides are 12 and 3 and

5. finally, the largest side s1=12 inches.

Answer:

Step-by-step explanation:

1-4, determine the slope of the line passing through the points whose ... x. +b. Write an equation in slope-intercept form for each line. y=m. hope it helps

Answer:

12.78

Step-by-step explanation:

because i said so

Answer:

He earned 200 dollars

Step-by-step explanation:

He got a 20% profit.

Answer:

it should be C I guess.

Im sorry if it is wrong

Answer: the answer is 1/2

Step-by-step explanation:

Answer:

31 hours

Step-by-step explanation:

First you take 313.50 divide that by 15 get 20.9 per hour

Then you take 647.90 and divide that by 20.9

So then you're left with 31 as your answer.

The equation that represents this situation is 8 + 3t = 25.50.

Let the sales tax for each book be represented as t.

Since Orion buys 3 books for a total of 25.50 and he pays $8 plus sales tax for each book. This will be illustrated as:

Cost of book + Tax = Total amount

8 + (3 × t) = 25.50

8 + 3t = 25.50

Collect like terms

3t = 25.50 - 8.

3t = 17.50

Divide

t = 17.50 / 3

t = 5.83

The sales tax is $5.83.

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Answer:

C

Step-by-step explanation:

The question wants you to calculate f(n)-f(n-1) using the data in the table. This could be done on any of the pairs, but I chose f(0)-f(-1) = 6 - (-15.2) = 21.2, giving us C as the final answer.

The given properties would be most useful as a machinery lubricant.

We are given the chemical and physical properties of the unknown substance as follows;

Now, some of the properties of machinery lubricants are;

These properties of Machinery Lubricants are same as the given properties. Thus, we conclude that the properties would be most useful as a machinery lubricant.

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Complete question is;

High viscosity at higher temperatures

unreactive with other substances

liquid at high temperatures

organic compound

poor conductor of electricity

Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n)

A) machinery lubricant.

B) heat insulator in a home.

C) internal combustion engine fuel.

D) electrical conductor in a computer circuit.

Answer:

y = (5x+7)(2x+3)

= 10x^2 +14x+15x+21

= 10x^2 +29x+21

a= 10 b=29 c=21

Answer:

22

Step-by-step explanation:

22x2=44

44+15=59

Answer:

22

Step-by-step explanation:

2x22+15 =59°

hope this helps

Answer:

6mm

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sum of the internal angles of a triangle is 180 °, from the equal sides it is understood that it is isosceles, therefore it has 2 sides and two equal angles (angle A and angle B) so both A and B are 34 °, x - 5 = 34 °

we find the value of 4y

180 - 34 - 34 = 112

now we find the value of y

4y = 112°

y = 112 : 4

y = 28

Answer:

This will clear you

Step-by-step explanation:

Given:-

Cost of 6 kg oranges =540

Cost of 1 kg oranges =540/6

=90

Now,

Orange can be purchased =720-540

=180

Again,

Remaining rupees =180/90

=2

Also,

We can buy oranges = 6kg+2kg

=8kg

If the cost of 6 kg of oranges is rs 540, for Rs. 720, you can purchase 8 kilograms of oranges.

To find out how many kilograms of oranges can be purchased for Rs. 720, we need to calculate the cost per kilogram of oranges.

Given that the cost of 6 kg of oranges is Rs. 540, we can find the cost of 1 kg of oranges by dividing Rs. 540 by 6:

Cost of 1 kg of oranges = Rs. 540 / 6 = Rs. 90

Now that we know the cost of 1 kg of oranges is Rs. 90, we can determine how many kilograms of oranges can be purchased for Rs. 720 by dividing Rs. 720 by the cost per kilogram:

Kilograms of oranges that can be purchased = Rs. 720 / Rs. 90 = 8 kg

So, for Rs. 720, you can purchase 8 kilograms of oranges.

In summary, to find the kilograms of oranges that can be purchased for Rs. 720, we divide the given amount by the cost per kilogram, which is obtained by dividing the cost of 6 kg of oranges by 6. The result is 8 kg of oranges that can be bought for Rs. 720.

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Answer:

Step-by-step explanation:

Speed and time are inverse functions.

At normal speed the time is 10 hours.

If the speed is 2.5 times faster, then time is 2.5 times less:

Speed is 2.5

Distance is 10

Time

Answer:

lope-intercept form, y=mx+b, of linear equations

Step-by-step explanation:

Answer:

A is 4 revolutions per second

B is 4 as the unitrate since 4 it the amount of revolutions it is going per a second.

Step-by-step explanation:

pls brainliest.

Answer:

The answer is ( 5×p) + 8 = 23

Here's your required answer!

a) Five times p = 5p

________________________________

Answer:

92/35

Step-by-step explanation:

⇒ 3 2/7 ÷ 1 1/4

⇒ (3*7 + 2) / 7  ÷ (1*4 + 1) / 4

⇒ 23/7  ÷  5/4

⇒ 23 * 4 /  7 * 5

⇒ 92/35

The solution of the expression is 2 22/35.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

The expression is,

3 2/7 divided by 1 1/4

Now, Solve the expression as;

3 2/7 ÷ 1 1/4

23/7 ÷ 5/4

23/7 x 4/5

92/35

2 22/35

Hence, The solution of the expression is 2 22/35.

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Answer:

A)

y=1/3x +2

Step-by-step explanation:

equation of line is y=mx+c

so here the points are (0,2) and the gradient,m is 1/3

the y-intercept, c is 2

as when substituting the result is 2 for the y-intercept

y=mx+c (0,2)

2=1/3 (0) +c

c= 2

The equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope-intercept form of the line is:

y=mx+c

The points are (0,2) and the gradient,m is 1/3

c= 2

y = x/2 + 2

Thus, the equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.

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