Which expression is a factor of both x^2-9 and x^2+8x+15

Answers

Answer 1

Step-by-step explanation:

x^2-9=0x^2+8x+15=0

(x+5)(x+3)=0

x+5=0 or x+3=0

x=-5or x=-3

x=-5 in x^2-9=0

(-5)^2-9=0

10-9=0

1=0

x=-3 in x^2-9=0

(-3)^2-9=0

9-9=0

0=0


Related Questions

Barbara has b bags of rice that each contain 4 pounds of rice. She has another bag that has 3 pounds of rice. Write an algebraic expression that shows how many pounds of rice Barbara has.

Answers

The algebra expression is 4B+3

Answer:

Emani call me after before we go back to school i got 100 on it

Step-by-step explanation:

Simplify:

√27x^2y^2

A) 27xy
B) 3xy
C) 3xy√3
D) xy√27

Answers

Answer:

[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]

Hence, option C is correct.

Step-by-step explanation:

Given the expression

[tex]\sqrt{27x^2y^2}[/tex]

simplifying the expression

[tex]\sqrt{27x^2y^2}=\sqrt{27}\sqrt{x^2}\sqrt{y^2}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

               [tex]=\sqrt{27}x\sqrt{y^2}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                [tex]=\sqrt{27}xy[/tex]

                [tex]=xy\sqrt{3^3}[/tex]

                 [tex]=xy\sqrt{3^2\cdot \:\:3}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                  [tex]=3xy\:\sqrt{3}[/tex]

Therefore,

[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]

Hence, option C is correct.

Find the perimeter of the triangle

Answers

Answer:

8 feet

Step-by-step explanation:

hope it helps! :)

Answer:

8 feet

Step-by-step explanation:

When calculating mixed numbers, I like to make all the numbers to improper fractions with the same denominators first before evaluating.

Perimeter of triangle = 2[tex]\frac{3}{8}[/tex] + 2[tex]\frac{3}{8}[/tex] + 3[tex]\frac{1}{4}[/tex]

                                  = [tex]\frac{19}{8}[/tex] + [tex]\frac{19}{8}[/tex] + [tex]\frac{13}{4}[/tex]

                                  = [tex]\frac{19}{8}[/tex] + [tex]\frac{19}{8}[/tex] + [tex]\frac{26}{8}[/tex]

                                  = [tex]\frac{64}{8}[/tex]

                                  = 8 feet

m + 7 ≥ 20, if m = 11

Answers

Answer:

False;18 ≥ 20

Step-by-step explanation:

Add  11  and 7

The left side  18  is less than the right side  20 , which means that the given statement is false.

Find y
Round to the nearest tenth:
х
27°
350 ft

Answers

Answer:

178.3ft

Step-by-step explanation:

still using the same formula

can you help stuck on this question for a while ​

Answers

Answer:

Option B

Step-by-step explanation:

Length of the rectangular sand box is given by the function,

F(x) = 3x³ + 6x - 2

Width of the sand box is represented by the function,

W(x) = 2x² - 4

Area function for the sand box will be,

Area of a rectangle = Length × Width

F(x) × W(x) = (3x³ + 6x - 2)(2x² - 4)

                 = 2x²(3x³ + 6x - 2) - 4(3x³ + 6x - 2)

                 = 6x⁵+ 12x³ - 4x²- 12x³- 24x + 8

                 = 6x⁵- 4x²- 24x + 8

Therefore, Area function will be represented by a polynomial degree of 5.

Option B will be the answer.

x-13<-5 solve the inequality and graph the solution

Answers

Answer: x<8

Step-by-step explanation: x−13+13<−5+13

Find the slope of the line

Answers

Answer:

-2

Step-by-step explanation:

Rise      2

___     ___

Run      -1

which equals -2

Option ‘A’ is your answer

I don’t understand help PLZZZ

Answers

OMGGGGG I CANT FIGURE UT OUT EITHER WE BOTH SHOUKD GET HELP

Help me out please an thank you

Answers

it should be 54 if u want me to explain how lmk :))

Call the actor spam her she blocked me 3053035819 call her name lauren.

Answers

Answer:

so, its 2.34 to the square root of 163

Step-by-step explanation:

you need to find the angle congruent to side 'actor'

times that by your credit card and divide by lauren

hope i get brainliest!!

can somelne help me ​

Answers

Answer:

2

Step-by-step explanation:

Answer:

9×(10-5)-31)÷7

9×5-31÷7

45-31÷7

14÷7

2

1.) At a restaurant, your bill has a food total of $33.50. Find the amount of a 16% tip on the food total.

I will give brainlist

Answers

$5.36 hope this helps

what does mujer culona

mean

Answers

That meant that a woman has a very big behind.

A seahorse can swim at a rate of 48 feet per hour. Convert this speed to inches
per minute.

Answers

Answer:

The Seahorse moves at 576 inches per minute

Step-by-step explanation:

if the seahorse moves at 48 feet per hour, all you would do is multiple the 48 feet with 12 inches to convert from feet to inches. So the answer is 576 inches per minute.

Answer:

2.43

Step-by-step explanation:

because thats the rogbt answer ofr me

Alex constructs a scatter plot. He realizes that he needs to add one more point, which will be an outlier. Which of the ordered pairs does he still need to plot? (14,2) (2,12) (18,10) (10,6)

Answers

Answer:

(14,2)

Step-by-step explanation:

Have took the test

(14,2) is an outlier of the constructed scatter plot.

What is scatter plot?

A scatter plot is a set of points plotted on a horizontal and vertical axes. Scatter plots are important in statistics because they can show the extent of correlation, if any, between the values of observed quantities or phenomena (called variables).

Given that, Alex constructs a scatter plot. He realizes that he needs to add one more point,

As we know If one point of a scatter plot is farther from the regression line than some other point, then the scatter plot has at least one outlier. If a number of points are the same farthest distance from the regression line, then all these points are outliers.

Here, When we will plot each of the points, and we will find that (14, 2) is the furthest away from the scatter

Hence, (14,2) is an outlier of the constructed scatter plot.

Learn more about scatter plot, click;

https://brainly.com/question/29231735

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Ulio is running in a 13.1-mile race. There are water stops every 2.75 miles along the route from the beginning of the race. What is the distance between the last water stop and the end of the race? Enter your answer in the box.

Answers

Answer:

2.1 miles

Step-by-step explanation:

Given that :

Total distance = 13.1 miles

Distance between each water stop = 2.75 miles

Distance between last water stop and end of the race

We need to find the maximum number of water stops :

Total miles / distance between water stops

13.1 / 2.75

= 4.763

Maximum number of water stops = 4

Distance to last water stop = 4 * 2.75 = 11 miles

Hence, distance between last water stop and end of Race :

Total miles - distance to last water stop

13.1 miles - 11 miles

= 2.1 miles

At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches. The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought. Which system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year?

Answers

Answer:

System of Equations is given as:

c = 2h - 1...... Equation 1

1.8c + 3h = 288.60....Equation 2

Step-by-step explanation:

Let us represent

The number of Cold lunch = c

The number of Hot lunch = h

The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought.

Hence:

c = 2h - 1

At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a school year a teacher spent a total of $288.60 on cold lunches and hot lunches.

Hence:

$1.80 × c + $3.00 × h = $288.60

1.8c + 3h = 288.60....Equation 2

The system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher taught during the school year is given as:

c = 2h - 1...... Equation 1

1.8c + 3h = 288.60....Equation 2

The system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]

Let h represents hot lunch, and c represents cold lunch.

So, we have:

[tex]\mathbf{1.80c +3.00h = 288.60}[/tex]

[tex]\mathbf{c = 2h - 1}[/tex]

Substitute [tex]\mathbf{c = 2h - 1}[/tex] in [tex]\mathbf{1.80c +3.00h = 288.60}[/tex]

[tex]\mathbf{1.80(2h -1) +3.00h = 288.60}[/tex]

Expand

[tex]\mathbf{3.60h -1.80 +3.00h = 288.60}[/tex]

Collect like terms

[tex]\mathbf{3.60h +3.00h = 288.60 + 1.80}[/tex]

[tex]\mathbf{6.60h = 290.4}[/tex]

Divide both sides by 6.60

[tex]\mathbf{h = 44}[/tex]

Substitute 44 for h in [tex]\mathbf{c = 2h - 1}[/tex]

[tex]\mathbf{c = 2(44) - 1}[/tex]

[tex]\mathbf{c = 83}[/tex]

Hence, the system of equations that can be used to calculate the number of hot and cold lunches is [tex]\mathbf{1.80c +3.00h = 288.60}[/tex] and [tex]\mathbf{c = 2h - 1}[/tex]

Read more about simultaneous equations at:

https://brainly.com/question/16763389

10. Solve the system of
equations by substitution.
-8x + 2y = 4
y = 4x + 2

Answers

Answer: 4x-y+2=0 i think

Step-by-step explanation

You have five red blocks, three yellow blocks and 2 green blocks in a paper bag. What is the probability that you reach in the bag and pick out a yellow block, put it aside and then reach in a pick out a green block?

Answers

Answer:

1/15

Step-by-step explanation:

10 blocks altogether

P(Y,G) = 3/10 x 2/9

Answer:1/15

Step-by-step explanation:

Which graph is used to model piece rate pay?

A. Piecewise
B. Piece rate
C. Scatterplot
D. Quadratic equation

Answers

Answer:

C

Step-by-step explanation:

The equation of graph is solved and graph that is used to model piece rate pay is the "piece rate" graph

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

The graph that is used to model piece rate pay is the "piece rate" graph. The piece rate graph shows how much money is earned for each unit of work completed. It is a linear graph with a slope that represents the rate of pay per unit of work completed.

The other graphs mentioned are used for different purposes:

A piecewise graph is used to represent a function that is defined by multiple equations on different intervals.

Hence , the graph is solved

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

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Does anybody know the answer to this question?

Answers

Answer:

A.

Step-by-step explanation:

A. Because the slope must be positive and cross the y axis at y = 2

PLZ HELP U GET POINTS AND I WILL GIVE YOU BRAINLIEST

Answers

13/5 is the smaller number

Answer: A) 13/5

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.  13/5

13/5 = 2.6

write [tex]2\frac{2}{3}[/tex] as a fraction

[tex]2\frac{2}{3}[/tex] = 8/3

Convert the fraction to a decimal by dividing the numerator by the denominator. 8/3

2.66666666667

13/5 < [tex]2\frac{2}{3}[/tex]

The left side2.6  is less than the right side 2.66666666667, which means that the given statement is true.

Points out of
9.00
The cost of manufactured goods is rising at the rate of inflation, or at about 2.3%. Suppose an item costs $12 today. How much will it cost five years
from now due to inflation? Round the answer to the hundredth

Answers

Ima go ask my dad ok wait here

Which expression is equivalent to
(5^-2)(5^-1)?

Answers

Answer:

5^-2.5^-1

5^-2-1

5^-3

1/125

Two sides of a triangle can be represented by the expressions 3x+8 and 2x2-4x+5.If the perimeter of the triangle is 4x2+2x-10, what expression can be used to represent the third side?

Answers

Answer:

s = 2x²+3x-23

Step-by-step explanation:

Given that,

First side of a triangle = 3x+8

Second side of a triangle = 2x²-4x+5

The perimeter of the triangle = 4x²+2x-10

We need to find the expression for the third side. Let the third side b s.

Perimeter = Sum of all sides

4x²+2x-10 = 3x+8 + 2x²-4x+5 +s

4x²+2x-10 = 2x²-x+13+s

s = 4x²+2x-10- (2x²-x+13)

= 2x²+3x-23

So, the third side will be 2x²+3x-23.

PLS HELP!

Match each division expression to its quotient.

Answers

D equals to 2
B equals to 3
A equals to -2
C equals to -3

Answer:

3 3/7 divided by 1 1/7 = 3

16/(-8) =  -2

2 2/5 divided by 4/5 = -3

-12.2/(-6.1) = 2

Step-by-step explanation:

Turn the mixed numbers into improper fractions and work from there. Then, make sure to find the reciprocal of the second fraction/number. For example,

3 3/7 = 24/7

1 1/7 = 8/7

24/7 (7/8) = 3

Hope this helped, but if you need more help then make sure to communicate with your teacher. This will help you out in the future.

Use the diagram to the right to complete the statement. If m
m

Answers

OGH is also 132 degrees

Mhanifa please answer this question about lines

Answers

I think the answer is TR

!!Pleas help me!! ASAP!! I will give you BRAINLYEST!!

A 25 - cent coin has a circumference of about 76 milimeters. Which
statement about the coin is true?

A. The diameter is 2 times the cricumference
B. The ratio of the circumference to the diameter is about 3.14
C. The diameter is about 3.14(76) milimeters
D. The diameter divided by the circumference is about 3.14

Make sure to explain your reasoning.

!!pls help me!! :(

Answers

Answer:

Step-by-step explanation:

the circumference is

C=2*r*3.14=3.14*d

the below choices are the only ones that are valid

c/3.14=d

C/d=3.14

the answer B

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