i sure is crosses through the orgin once straight through the middle plus its linear slope of 4

5(x – 10) = 30 – 15x

Solve

**Answer:**

x=4

**Step-by-step explanation:**

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x +15x

20x - 50 = 30

+50 +50

20x = 80

/20 /20

x = 4

Hope this helps!

1. Find the Least Common Multiple of these two monomials:

See picture

**Answer:**

*The last choice is correct*

[tex]LCM=120a^4b^7c^5[/tex]

**Step-by-step explanation:**

Least Common Multiple (LCM)

To find the LCM we can follow this procedure:

List the prime factors of each monomial.

Multiply each factor the greatest number of times it occurs in either factor.

We have two monomials:

[tex]12a^4b^2c^5[/tex]

[tex]40a^3b^7c^1[/tex]

The prime factors of the first monomial are:

[tex]2^2,3,a^4,b^2,c^5[/tex]

The prime factors of the second monomial are:

[tex]2^3,5,a^3b^7c^1[/tex]

LCM = Multiply [tex]2^3*3*5*a^4*b^7*c^5[/tex]

These are all the factors the greatest number of times they occur.

Operating:

[tex]LCM=8*15*a^4*b^7*c^5[/tex]

[tex]\boxed{LCM=120a^4b^7c^5}[/tex]

The last choice is correct

Solve for y.

C=8(y + k)

**Answer:**

C/8 -k= y

**Step-by-step explanation:**

C=8(y + k)

Divide each side by 8

C/8 = y+k

Subtract k from each side

C/8 -k = y+k-k

C/8 -k= y

**Answer: **y = C
/8 − k

**Step-by-step explanation:**

+54- -75 what the answer

**Answer:**

-21

**Step-by-step explanation:**

positive 54 decreased negative 75. The answer is -21. why? Because the negative variables is higher than the positive variable in the given.

**Answer:**

129

**Step-by-step explanation:**

+54- -75

54+75=129

When you are subtracting 54- -75, the symbols will automatically change to postives.

You could also use the method:

Keep, change, change

54 + +75

Evaluate the following expression. Express your answer in simplest form. 3/16 + 5/8 × 1/2

**Answer:**

1/2

**Step-by-step explanation:**

We have to follow the order of operations. Since there are no parenthesis or exponents, we do multiplication first. to multiple fractions, we multiply the two numerators (top parts), which in this situation would get us 5*1=5. Then, we multiply the two denominators (bottom parts), which would get us 8*2=16. then we put the first result over the second, and we get 5/16. since the two denominators are the same, we don't need to change anything. we can just add the numerator, and get 8/16, which simplifies to 1/2.

What do the two lines in the graph below have in common?

**Answer: Parallel and same slope**

**Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.**

branliest plssss :)

Convert 10 feet into yards. Round your answer to the nearest hundredth.

the answer will be 3 yards

A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +2. It then crawls 3.5 centimeters left, 4.8 centimeters right, and 7.9 centimeters left.

Question 1

Part A

Where is the ant on the number line now?

Enter the correct answer in the box.

Answer:

Position = -5

Step-by-step explanation:

The number line is not shown, however the question can still be answered.

Given

Start Point: +2

Left Movement: 3.5cm and 7.9cm

Right Movement: 4.8cm

Required

Determine the Ant's position

To do this, we treat all left movements as negative and all right movements as positive.

So, we have:

Position = 2 - 3.5 - 7.9 + 4.8

Position = -4.6

Since the number line is spaced by 1cm, we have to approximate to the nearest integer.

Position = -5

Write an expression that is equivalent to three over five (3y + 15). (4 points)

A three over five y + 9

B three over five y + 15

C nine over five y + 9

D nine over five y + 15

HELP ASAP

**Answer:**

The equivalent to three over five (3y + 15) is **nine over five y + 9 ⇒ C**

**Step-by-step explanation:**

Let us solve the question

∵ Three over five means [tex]\frac{3}{5}[/tex]

∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)

→ By using the distributive property, multiply each term inside the

bracket by three over 5

∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)

→ Multiply three over five by 3y

∵ [tex]\frac{3}{5}[/tex] (3y) = [tex]\frac{3(3)}{5}[/tex] (y) = [tex]\frac{9}{5}[/tex] y

→ Multiply three over five by 15

∵ [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{3(15)}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9

∴ [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9

∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{9}{5}[/tex] y + 9

∴ **The equivalent to three over five (3y + 15) is **[tex]\frac{9}{5}[/tex]** y + 9**

c please give 4 stars :)

helppppppppp pls

yhghfhcgfvg

**Answer:**

Length of the side is 10 for a

Each side for b is 3

**Step-by-step explanation:**

**Answer:**

50 and the second one is 3

**Step-by-step explanation:**

to get the length from each side the area divide the area by 2 and to get the length for each side from the total perimeter then divide by 4

In the diagram, which angles from a linear pair ? Select 3 options

RST and RSV

RST and VSU

TSU and USV

RST and VSU

TSU and USV

any luck of help? pls say yess I'll brainlist u!!! give u 5 star just help me answer

**Answer:**

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B) x = 0

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

What is the slope of a line that is perpendicular to the line shown on the graph?

The slope of the line that is perpendicular to the line shown should have an opposite slope. For example if the slope is 2/5. The perpendicular slope is -5/2. Hope this helps!!

I need help with this

**Answer:**

ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure

Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana's. Which is the correct way to represent "the opposite of Shana's temperature is equal to Pearl's"? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20

**Answer:**

**Step-by-step explanation:**

Given Shana temperature = -20°C

°If Pearls temperature is opposite that of Shana's then Pearls temparature = -(-20) = 20°C

Hence the correct way to represent "the opposite of Shana's temperature is equal to Pearl's

Opposite of shana = -(-20°C)

Pearls temperature = +20°C

**Since Opposite of shana = Pearls temperature, hence -(-20°C) = 20°C**

Answer:

-(-20 = 20

Step-by-step explanation:

The "opposite" here means we take the negative of -20 C.

So we can write -(-20 which is equal to 20.

So the first option is correct, -(-20 = 20.

hope this helps:)

help meeeeeeeeeeeeeeee

**Answer:**

A

**Step-by-step explanation:**

Answer: A

Explanation:

Explanation:

What are the values of x and y?

image attached. Thank you!

**Answer:**

C

**Step-by-step explanation:**

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

*~ an aesthetics lover*

**Answer:**

C

**Step-by-step explanation:**

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 9[tex]\sqrt{3}[/tex]

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

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

Thus

x = 9[tex]\sqrt{3}[/tex] and y = 9 → C

the mass of the moon

**Answer:**

The answer is 10^24kg. 0.07346.

find the coordinates of the midpoint of a segment with the given endpoints 3.)P(-12 -9) Q(2,10) help plz

**Answer: **

(-5, 0.5)

**Step-by-step explanation:**

-12+2/2= -5

-9+10/2= 0.5

**(-5, 0.5)**

Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.

Answer:

The least number of plates and cups she can buy is 24

She will buy 3 packs of plates

She will buy 2 packs of cup

Step-by-step explanation:

Plates = 8 per pack

Cups = 12 per pack

Find the Lowest common multiple of 8 and 12

8 = 16, 24, 32, 40, 48, 56, 64, 72, 80

12 = 24, 36, 48, 60, 72

What is the least number of plates and cups she can buy?

The Lowest common multiple of 8 and 12 is 24

The least number of plates and cups she can buy is 24

How many packs of plates?

Packs of plates = 24 plates / 8 per pack

= 3 packs

She will buy 3 packs of plates

How many packs of cups?

Packs of cups = 24 / 12 per pack

= 2 packs

She will buy 2 packs of cup

Help plz and thanks

**Answer:**

8

**Step-by-step explanation:**

4x4=16x8=128

HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP

**Answer:**

The triangles are lined up with their correct pairs already.

**Step-by-step explanation:**

The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.

(-10) + -7)

find each sum?

**Answer:**

-10 + (-7)= -17

**Step-by-step explanation:**

**Answer:**

-17

**Step-by-step explanation:**

-10 plus -7 is -17

Need all these questions answer plz

**Step-by-step explanation:**

1 result(s) found

x

2

−x−3

Step by Step Solution:

More Icon

STEP

1

:

Equation at the end of step 1

STEP

2

:

x3 + 3x2 - 7x - 12

Simplify ——————————————————

x + 4

Checking for a perfect cube :

2.1 x3 + 3x2 - 7x - 12 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3 + 3x2 - 7x - 12

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -7x - 12

Group 2: x3 + 3x2

Pull out from each group separately :

Group 1: (7x + 12) • (-1)

Group 2: (x + 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -3.00

-2 1 -2.00 6.00

-3 1 -3.00 9.00

-4 1 -4.00 0.00 x + 4

-6 1 -6.00 -78.00

-12 1 -12.00 -1224.00

1 1 1.00 -15.00

2 1 2.00 -6.00

3 1 3.00 21.00

4 1 4.00 72.00

6 1 6.00 270.00

12 1 12.00 2064.00

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

x3 + 3x2 - 7x - 12

can be divided with x + 4

Polynomial Long Division :

2.4 Polynomial Long Division

Dividing : x3 + 3x2 - 7x - 12

("Dividend")

By : x + 4 ("Divisor")

dividend x3 + 3x2 - 7x - 12

- divisor * x2 x3 + 4x2

remainder - x2 - 7x - 12

- divisor * -x1 - x2 - 4x

remainder - 3x - 12

- divisor * -3x0 - 3x - 12

remainder 0

Quotient : x2-x-3 Remainder: 0

Trying to factor by splitting the middle term

2.5 Factoring x2-x-3

The first term is, x2 its coefficient is 1 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3

Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .

-3 + 1 = -2

-1 + 3 = 2

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6 Cancel out (x+4) which appears on both sides of the fraction line.

Final result :

x2 - x - 3

Terms and topics

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Polynomial root calculator

Polynomial long division

Related links

More Icon

Root Finder -- Polynomials Calculator

How to factor five term polynomial - Yahoo Answers

Long Polynomial Division

Polynomial long division - Wikipedia

Polynomial Long Division

Polynomials - Long Division

WILL MARK BRAINLIEST

What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}

a {0, 2, 4}

b {-1, 1, 3}

c {2/3, 4/3, 2}

d {-2/3, 5/3, 4}

**Answer:**

D.

**Step-by-step explanation:**

**SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY**

What is the value of f(x) = 3x -12 for anx = 9

**Answer:**

15

**Step-by-step explanation:**

f(x) = 3x -12 for x = 9

f(9) = 3(9) -12

27-12

15

a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.

**Step-by-step explanation:**

20n 20394848484848575

The **impulse **on the body is 20 kg-m/s, the final **speed **of the body is 2m/s, and the **distance **covered within the** time interval** is 0.5m.

**Force **is the strength applied on an object with mass to change its state of motion.

The **mass **of the body is 10kg.

The **force **applied on the object is 40N.

The **time **for which the **force **is applied is 0.5 sec.

The **impulse **on the **body **is calculated by,

Impulse = Force * Time

**Impulse **= 40 * 0.5

**Impulse **= 20 kg-m/s

The** final speed **of the body is given by

v = u + at

Assuming the **initial speed** = 0

v = at

**Acceleration **= Force / mass

**Acceleration **= 40/10

a = 4 m/s²

v = 4 * 0.5

v = 2 m/s

The **distance** covered within the **time interval **is given by,

s = ut + (1/2) at²

s = (1/2) at²

s = (1/2) 4 * 0.5 *0.5

s = 0.5 m

To know more about** Force**

https://brainly.com/question/13191643

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Suppose at age 22 mort starts investing 200$ at the end of each month into a savings plan with an apr of 2.9% and he continues to do so through the next 43 years ( planning to retire at age 65). How much will be in his savigns plan towards retirement? How much of his balance was from the interested loans

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Monthly Payment (PMT) = 200 at the end of each period

interest rate = 2.9% = 0.029/12 = 0.0024166

Period (n) = 43 years x 12 = 516

Using the future value(FV) of an ordinary annuity:

FV = PMT[(1 + r)^n - 1] / r

FV = 200[(1 + 0.0024166)^516 - 1] / 0.0024166

FV = 200[(1.0024166)^516 - 1] / 0.0024166

FV = 200(2.4745372) / 0.0024166

FV = 204,794.93

Amount which will be in saving plan towards retirement = $204,794.93

Interest amount :

$204,794.93 - total monthly deposits

$204,794.93 - (200 * 516)

$204,794.93 - $103,200

= $101,594.93

0 -x + y = 1

9x – 7y = 1

**Answer:**

X = 4 and Y = 5

**Step-by-step explanation:**

What does this mean exactly?

**Answer: Choice B **[tex]y \le 0[/tex]

========================================================

Explanation:

They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.

The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.

So y is between negative infinity and 0, which means we write [tex]-\infty < y \le 0[/tex]

Converting that to interval notation leads to [tex](-\infty, 0][/tex]. Note the square bracket to include the endpoint.

The compound inequality [tex]-\infty < y \le 0[/tex] simplifies to [tex]y \le 0[/tex]

One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".

Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.

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-(x-7) + (5/3) = 2(x+9) wht does x equal
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