PLEASE HELP ASAP


1) (7.01, 7.02, & 7.03) Choose a trinomial to factor. Show ALL work: 3x2 − 15x + 18 10a2 + 5a − 30 4n2 − 10n − 24

2) (7.05) Using the function from question #1, determine the zeros & the y-intercept of the function. Show ALL work, then GRAPH.



3) (7.03) Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36







Write in factored form: ( )2



4) (7.04) Determine the expression that shows a difference of perfect squares and factor it, showing ALL work.
16x2 − 81
14x2− 49
9x2 + 100

Answers

Answer 1

Answer:

1) 3x² - 15x + 18

2) y-intercept: 18

Zeros: 2 and 3

3) 12x ; (x - 6)²

4) 16x² - 81; (4x - 9)(4x + 9)

Step-by-step explanation:

3x² - 15x + 18

3(x² - 5x + 6)

3[x² - 2x - 3x + 6]

3[x(x - 2) - 3(x - 2)]

3(x - 2)(x - 3)

x - 2 = 0

x = 2

x - 3 = 0

x = 3

Zeros: 2 and 3

y-intercept: at x = 0

3(0-2)(0-3) = 18

x² - 2(x)(b) + 6²

b = 6

2x(6) = 12x

(x - 6)²

16x² - 81

(4x)² - 9²

(4x - 9)(4x + 9)


Related Questions

Becky and Cathy are sisters. Becky is four years older than Cathy. The following shows how Becky's age, y, changes as Cathy's age, x, changes.

Answers

Answer:

the answer would be B.

Step-by-step explanation:

Study island I did this one

Solve for the volume of the cylinder.
(Use picture below)

Answers

The volume is 3.14*5.4^2*16 = 1464.998
this is rounded to the nearest tenth

solve for a 7a - 2b =5a + b​

Answers

Answer:

a = 3/2 b​

Step-by-step explanation:

7a - 2b =5a + b​

Subtract 5a from each side

7a-5a - 2b =5a-5a + b

2a -2b = b

Add 2b to each side

2a-2b+2b = b+2b

2a = 3b

Divide each side by 2

2a/2 = 3b/2

a = 3/2 b​

Solve the system. -3x + 4y = -22 2x + 7y = 5 A) (6, -1) B) (-1, 6) C) (-6, 1) D) (-1, -6)

Answers

Answer:

A

Step-by-step explanation:

We have the system of equations:

-3x + 4y = -22

2x + 7y = 5

Let's solve this using elimination, so multiply the first equation by 2 and the second equation by 3:

2 * (-3x + 4y = -22)  ⇒  -6x + 8y = -44

3 * (2x + 7y = 5)  ⇒  6x + 21y = 15

Our equations are now:

-6x + 8y = -44

6x + 21y = 15

Add these two together to eliminate the x term:

    -6x + 8y = -44

+    6x + 21y = 15

______________

     0x + 29y = -29

y = -29/29 = -1

Plug this back into one of the equations to find x:

-3x + 4y = -22

-3x + 4 * (-1) = -22

-3x - 4 = -22

-3x = -18

x = -18/(-3) = 6

The answer is (6, -1) or A.

Answer:

A. (6,-1)

Step-by-step explanation:

-3x + 4y = -22

2x + 7y = 5

x = (5 - 7y)/2

-3[(5 - 7y)/2] + 4y = -22

-15/2 + 21y/2 + 4y = -22

29y/2 = -29/2

y = -1

x = (5 - 7(-1))/2

x = 12/2

x = 6

MATH HELP PLEASE !50 POINTS!

Answers

Answer: 108

Step-by-step explanation: You take the x and the 2/3x and combine them to get 1 2/3x, so 1 2/3x=180. 180 divided by 5 is 36, and 36 times three is 108

Answer:

108

Step-by-step explanation:

Angles on a line add up to 180 degrees.

x + 2/3x = 180

5/3x = 180

x = 180 × 3/5

x = 108

Find the value of x ​

Answers

I think it is x equals 10
B. X= √55

To solve this, you do the Pythagorean theorem.

a^2+b^2=c^2

Since the entire leg equals to 6, you split it in half to find the short length of the right triangle. Which would equal to 3.

3^2+b^2=8^2

9+b*2=64

Subtract 9 from both sides

b^2=55

So x would equal to √55


Devaughn's age is three times Sydney's age. The sum of their ages is 76. What is Sydney's age?

Answers

Answer:

22

Step-by-step explanation:

Basically you can think of Devaughn as 3x and Sydney as 1x, which gives you 4x=88. 88/4= 22, so Sydney is 22

After decoding the clues on the map, they found out that they needed to go to the
Island of Mysteries which was 120 miles away. To get there, they could either
take a plane for $600 or a boat for $254. How much money can they save if they
took a boat to the island?​

Answers

Answer:

$346.00

Step-by-step explanation:

We know that the price to take a plane to the Island of Mysteries is $600 and the price to take a boat is $254.

To find how much money they will save if they were to take a boat, you would subtract the cost of the boat ride from the plane ride to find the difference.

$600 - $254 = $346.00

A pizza has a circumference of 37.68 inches. What is the area of the pizza?

Answers

Answer:

118.31

Step-by-step explanation:

because the circumference is 3.14 and you have to do 37. 68 x 3.14 and you get your answer

How do you calculate probability?

Answers

Step-by-step explanation:

write it as a fraction.

Example:

What is the probability of drawing a diamond from a deck of cards?

The number on the bottom of the fraction is the total number of objects/possibilities.There are 4 suits in a deck of cards (spades, clubs, hearts, diamonds) so that is the number that goes on the bottom of the fraction (the denominator)

?/4

diamonds is only 1 of the four suits so the number on the top of the fraction (the numerator) will be 1

1/4

you can express this in many ways such as a fraction or percentage

I HOPE THIS WAS HELPFUL :-)

Final answer:

To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and divide by the total number of outcomes in the sample space.

Explanation:

To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and divide by the total number of outcomes in the sample space. This is known as the theoretical probability of A.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ12

Estimate a 15% tip on a dinner bill of $31.86 by first rounding the bill amount to the nearest ten dollars.
Estimated tip:

Answers

$4.5 (31.86≈30 30x0.15=4.5)

With a stratified random sample, a population is broken up into different
subgroups and then simple random samples are conducted within each of
these subgroups.

A. True

B. False

Answers

Answer:

True

Step-by-step explanation:

This is true. In a stratified random sample, the overall population is broken up into smaller groups by a certain factor that pertains to the survey they are conducting. They will then choose a simple random sample in each of these groups to determine who is going to be surveyed. Based on this, the definition is true.

Which statements about this system of equations are true? Check all that apply
.
2x - 7y=-13
- 2x + 11y = 1
The x-variable will be eliminated when adding the system of equations.
The y-variable will be eliminated when adding the system of equations.
The sum of the system of equations is 4y = -12.
Ox=17
y=-3
There are infinitely many solutions to the system of equations.

Answers

Answer:

the x-variable will be eliminated when the adding the system of equations. The sum of the system of equations is 4y = -12.

x= - 17

y= - 3

Step-by-step explanation:

Simplify the expression:Two-thirds divided by (negative 4) minus (one-sixth minus StartFraction 8 over 6 EndFraction)

1

StartFraction 29 over 24 EndFraction

StartFraction negative 24 over 17 EndFraction

StartFraction 23 over 24 EndFraction

Answers

we have been given an expression [tex]\frac{\frac{2}{3}}{-4}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]. We are asked to simplify our given expression.

Using quotient rule [tex]\frac{\frac{a}{b}}{c}=\frac{a}{bc}[/tex], we will get:

[tex]\frac{2}{3\cdot -4}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]

[tex]\frac{2}{-12}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]

Now, we will combine like terms:

[tex]\frac{2}{-12}-\left(\frac{1-8}{6}\right)[/tex]

[tex]\frac{2}{-12}-\left(\frac{-7}{6}\right)[/tex]

[tex]-\frac{2}{12}+\frac{7}{6}[/tex]

[tex]-\frac{1}{6}+\frac{7}{6}[/tex]

Let us combine like terms:

[tex]\frac{-1+7}{6}[/tex]

[tex]\frac{6}{6}=1[/tex]

Therefore, our expression simplifies to 1.

Answer:

1

Step-by-step explanation:

Brainliest please

8x-72=2x-36
I need the answer​

Answers

Answer: [tex]x=6[/tex]

Subtract 2x from both sides

[tex]8x-72-2x=2x-36-2x\\6x-72=-36[/tex]

Add 72 to both sides

[tex]6x-72+72=-36+72\\6x=36[/tex]

Divide both sides by 6

[tex]6x/6=36/6\\x=6[/tex]

Answer:

x=6

Step-by-step explanation:

first thing first you always need to get x alone and since you have an X on both side we need to move one of them to the same side as the other one.

8x-72=2x-36

add 72 on both sides ( the opposite of subtracting is adding)

8x=2x-36+72  

8x=2x+36

then we subtract 2x on both sides to get X alone

8x-2x=36

6x=36

then we divide 36 by 6 to get our answer for x

X= 6

and that's your answer, hope this helped

Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a maximum of 150 feet of fencing. The system of inequalities that models the possible lengths, l, and widths, w, of her garden is shown. w ≥ 10 2l + 2w ≤ 150 On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 10. Everything above the line is shaded. The second line has a negative slope and goes through (0, 75) and (75, 0). Everything to the left of the line is shaded. Which length and width are possible dimensions for the garden? l = 20 ft; w = 5 ft l = 20 ft; w = 10 ft l = 60 ft; w = 20 ft l = 55 ft; w = 30 ft

Answers

Answer:

In option a, w < 10

in option b, w = 10 and 2(20) + 2(10) = 40 + 20 = 60 < 150

in option c, w > 10 but 2(60) + 2(20) = 120 + 40 = 160 > 150

In option d, w > 10 but 2(55) + 2(30) = 110 + 60 = 170 > 150

Therefore the corect answer is option b.

Step-by-step explanation:

The height of a tree increases by 60% each year. When planted the tree was 40cm tall. How tall will the tree be in 5 years time.

Answers

Answer:

≈419.4 cm.

Step-by-step explanation:

To solve this problem, you will need to set up an exponential graph as shown:

y= 40 ·[tex](1.6)^{x}[/tex]

The 40 represents the initial height of the tree, while (1.6) represents the annual growth rate. 'x' represents the amount of years elapsed.

We can simply solve this by substituting 5 for x:

y= 40· [tex](1.6)^{5}[/tex]

y ≈ 419.4 cm.

1) During skating practice, Sasha landed 7 out of 12 jumps. What is the experimental
probability that she will land her next jump?​

Answers

Answer:

14 maybe

Step-by-step explanation:

Leeza’s aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequality to find out how many more gallons she might put in the tank.

Answers

Step-by-step explanation:

the answer is 55 is less than or equal to 22

PLZZZ HELP AND HURRY MARK BRAINLIST IF CORRECT
What is due to acids formed when atmospheric and volcanic gases mix with water

A chemical weathering
B mechanical weathering
C root- pry
D pedalfer

Plzz and thank youu

Answers

Answer:

Answer is D

Step-by-step explanation:

Due to the pedalfer by the formation of the acid at the time when atmospheric and volcanic gases mix with water.

What is a pedalfer?

Pedalfer should be comprise of the  aluminum and iron oxides. It should be considered as the subdivision of the order of zonal soil that contains the wide range of soils where sesquioxides increase with respect to the silica at the time of forming the soil. Also it should be arise when the area is humid.

Therefore, we can conclude that the option d is correct.

Learn more about acid here: https://brainly.com/question/23801351

GIVING BRAINLIEST BRAINLIEST!!!! Easy mathhh DO NUMBER 4

Answers

Answer:

I got 1/2

Step-by-step explanation:

Question 5 (5 points)

To the nearest hundredth, what is the value of m?

15

08.66

12.99

2.31

7.50

Answers

Answer:

m = 12.99

Step-by-step explanation:

cos30° = m/15

√3/2 = m/15

2m = 15√3

m = 15√3/2

m = 15·1.73/2

m = 25.95/2

m = 12.99

Sana maka tulong plss rate and love

In ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. What ratio represents the cosine of ∠I?

Answers

We have been given that in ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. We are asked to find the ratio that represents the cosine of angle I.

First of all, we will draw a right triangle as shown in the attachment.

We know that cosine relates adjacent side of right triangle with hypotenuse.

[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]

We can see that adjacent side to angle I is IK and hypotenuse is IJ.

[tex]\text{cos}(\angle I)=\frac{IK}{IJ}[/tex]

[tex]\text{cos}(\angle I)=\frac{36}{85}[/tex]

Therefore, the ratio of cosine of angle I is [tex]\frac{36}{85}[/tex].

Answer:

the ratio of cosine of angle I is 36/85.

Step-by-step explanation:

You roll a six sided die. What is the
probability of rolling an even number
three times in a row?

Answers

Answer:

50

Step-by-step explanation:

The probability of rolling an even number three times in a row is; 1/27.

What is the probability of rolling an even number three times in a row?

It follows from the task content that the six sided die is rolled thrice.

With each roll, it follows that the probability of rolling an even number is 2/6 = 1/3.

On this note, upon rolling the dice thrice, it follows that the probability of rolling an even number all three times is;

P = 1/3 × 1/3 × 1/3 = 1/27.

Read more on probability;

https://brainly.com/question/12133950

1 1/3 x 6/7 (the 1 in the front is a whole)

Answers

Look at the attached picture

Hope it will be helpful to you

Answer:

well it would be 9 over 14 hope this helps

Step-by-step explanation:

Joan receives a 9% commission on appliances she sells. Last month she sold $18,500 worth of appliances. How much did Joan earn in commissions last month?

Answers

Answer:

She earned $1,665.

Step-by-step explanation:

x / 18500 = 9/100

What did you do to transform 18500 into 100? Divide by 185

Since you divided the denominator 185, you must do the same to the numerator.

x / 185 = 9 OR 9 * 185 = x

x = 1665

Solve the system of equations :
2x -5y=-22
X+7y=27

Answers

The answer/ solution for the system of equations is: x=-1 y=4

Answer:

x=−1 y=4

Step-by-step explanation:

Let's solve your system by substitution.

2x−5y=−22; x+7y=27

Rewrite equations:

x+7y=27;2x−5y=−22

Step: Solve x+7y=27for x:

x+7y=27

x+7y+−7y=27+−7y(Add -7y to both sides)

x=−7y+27

Step: Substitute−7y+27 for x in 2x−5y=−22:

2x−5y=−22

2(−7y+27)−5y=−22

−19y+54=−22(Simplify both sides of the equation)

−19y+54+−54=−22+−54(Add -54 to both sides)

−19y=−76

−19y

−19

=

−76

−19

(Divide both sides by -19)

y=4

Step: Substitute 4 for y in x=−7y+27:

x=−7y+27

x=(−7)(4)+27

x=−1(Simplify both sides of the equation)

Caren has 6 oranges to share. If she
gives one third of an orange to each
person, how many people can share
Caren's oranges?

Answers

Answer:

6/ 1/3

6 x 3/1

6 x 3 = 18

Hope this helps Your answer is 18

Step-by-step explanation:

Answer:

she can share with 18 people

a length of clothesline is 3 1/3 ft long. how would you report its length in inches?

Answers

Answer:

40 inches

Step-by-step explanation:

Simply multiply the length value by 12

1 foot = 12 inches

40 inches is your answer....

Julio drives 2.5 hours at 45 miles per hour. Kilgore drives 4 hours at 35 miles per hour. Who drives farther? How much
farther?
Kilgore, 27.5 miles
Julio: 28.5 miles
Julio: 112.5 miles
Kilgore; 140 miles​

Answers

Answer:

kilgore, 140 miles

Step-by-step explanation:

Kilgore drives farther than Julio with a difference of 27.5 miles. Julio drives 112.5 miles while Kilgore drives 140 miles.

To determine who drives farther, we need to calculate the distance driven by Julio and Kilgore.

Julio: Julio drives 2.5 hours at 45 miles per hour. Using the formula distance = speed × time, Julio's distance is 45 miles/hour × 2.5 hours = 112.5 miles.Kilgore: Kilgore drives 4 hours at 35 miles per hour. Applying the same formula, Kilgore's distance is 35 miles/hour × 4 hours = 140 miles.

Kilgore drives farther. The difference in the distance is 140 miles - 112.5 miles = 27.5 miles.

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