complete the factoring , if needed solve the polynomial any quality using a sign chart (x+3)(x^2-8x+15)<0

Answers

Answer 1

Answer:

[tex](x + 3)(x - 5)(x-3)<0[/tex]

Step-by-step explanation:

Given

[tex](x + 3)(x^2 - 8x + 15)<0[/tex]

Required

Complete the factoring

[tex](x + 3)(x^2 - 8x + 15)<0[/tex]

Expand

[tex](x + 3)(x^2 - 3x - 5x+ 15)<0[/tex]

Factorize:

[tex](x + 3)(x(x - 3)-5(x-3))<0[/tex]

Factor out x - 3

[tex](x + 3)(x - 5)(x-3)<0[/tex]

The expression has been completely factored


Related Questions

IM really struggling on these math problems can anyone help and help me how to show the WORK! PLEASE

Answers

Answer:

For the first one it is 5x+2

Step-by-step explanation:

(9x+5) - (4x+3) = ?

First you minus the x's together so,

9x-4x which would equal 5x

then you minus the 5 and 3 together so,

5-3 which would equal 2

then you put the 5x and the 2 together and you get

5x+2 :-)

For the rest of the problems, use this as an example!

PLZ HELP ME I WAS STUCK ON THIS FOR 30 MINS WILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

6^3 is the error, 6^3 is 216.

the correct volume is   904.32

Answer:

Step-by-step explanation:

6³ is not equal to 18, that is 6x3

6³= 6x6x6=216

so the correct volume is V= 904.7 cm³

Which translation vector moves every point of a pre-image 4 units left and 6 units up?
F. (4, -6)
G. (-4, 6)
H. (-6, 4)
J. (6, -4)​

Answers

Answer:

G(-4,6)

Step-by-step explanation:

Here, we want to write a translation

moving left means we are to subtract the number of units from the original

So we have this as -4

Moving up means we are to add the number of units to the original

So we have this as +6 = + 6 units

So the answer here will be;

(-4,6)

G.  (-4, 6).

Given translation is 4 units left and 6 units up.

For left we use negative sign. And for up was use plus sign.

So the translation vector is (-4, 6).

Find out more information about the translation here: https://brainly.com/question/12861087

Please help me out please

Answers

Answer:

Your answer is 8.06.

Step-by-step explanation:

Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:

a² + b² = c²

Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.

a is going to be your smallest leg, so in this case a = 4.

b is going to be your longest leg, so it is b = 7.

Now, you don't know what c yet is so you simply write it as:

4² + 7² = c²

Do the exponents.

16 + 49 = c²

Add.

65 = c²

Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.

√65 = √c2

Once you do that, you have your answer!

8.0622577483 = c

Now just simplify and you're done :)

8.06

Might sound hard now but you'll get the hang of it.

Find the surface area of the regular pyramid. Write your answer as a decimal.

It has a pentagonal base of 84.3 sq cm and the dimensions of the triangles are 7 cm across and 9 cm tall.

Answers

7x9=63/2=31.5

31.5x4= 126

7x7=49

126+49=175

The surface area of the pyramid would be 175cm^2

find the value of x *​

Answers

Answer:

5 2/5 seems right to me

Step-by-step explanation:

filler filler filler

Hi! Please explain how you got your answer thanks! :)) ​

Answers

Answer:

a + b = 780

Step-by-step explanation:

If we subtract the two equations we can ”eliminate“  a and b and find the value of z.

a-a = 0

b-b = 0

-10z = -700

z = 70

now we have to subistitute this value in the two equations

a + b -4(70) = 500

a + b + 6(70) = 1200

a+b - 280 = 500

a + b + 420 = 1200

If we simplify we have

a + b = 780

a + b =  780

Taylor bought some jeans on sale. The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans. Find the amount of money Taylor spent,

Answers

Answer:

30

Step-by-step explanation:

Let the amount of money Taylor spent = x

The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans.

Hence

1/5 × x = 6 jeans

x/5 = 6 jeans

Cross Multiply

x = 5 × 6 jeans

x = 30

The amount of money Taylor spent = 30

BRAINLIEST!!! See pic BELOW!!!

Answers

i think it would be A since i think both sides have to be 160°

Answer:

160° = (10x + 50°) [Vertically Opposite Angles]

[tex]10x + 50 = 160 \\ 10x = 160 - 50 \\ 10x = 110 \\ x = \frac{110}{10} \\ x = 11[/tex]

Option A. 11 is the correct answer.

3x^2+bx+24=0 if one of its root is 3

Answers

Answer:

Other root of equation, [tex]\frac{8}{3}[/tex]

Value of ([tex]b[/tex]), [tex]-17[/tex]

Step-by-step explanation:

The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,

[tex]y=ax^2+bx+c[/tex]

To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let ([tex]x_1[/tex]) and ([tex]x_2[/tex]) represent the roots of the equation,

[tex](x_1)+(x_2)=-\frac{b}{a}[/tex]

[tex](x_1)(x_2)=\frac{c}{a}[/tex]

Substitute the given values into the equation,

[tex]3+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=\frac{24}{3}[/tex]

Simplify,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=8[/tex]

Inverse operations,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex]x_2=\frac{8}{3}[/tex]

Substitute in the value of ([tex]x_2[/tex]),

[tex](3)+(\frac{8}{3})=-\frac{b}{3}[/tex]

Simplify, convert to improper fractions and combine like terms,

[tex]\frac{9}{3}+\frac{8}{3}=-\frac{b}{3}[/tex]

[tex]\frac{17}{3}=-\frac{b}{3}[/tex]

Multiply both sides of the equation by ([tex]3[/tex]) to remove the denominator,

[tex]17=-b[/tex]

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag. If the theater wanted to offer a 60-ounce bag of popcorn, what would be a good price? Explain your reasoning

Answers

Answer:

For a volume of 60 ounces, the appropriate price is $16

Step-by-step explanation:

Firstly, we need to determine the relationship between volume of popcorn and the price of bag.

Let us try and see if there is a linear relationship

A linear model is of the form ;

y = mx + b

where m is the slope and b is the y intercept

While the price represents the y axis values, the volume represents the x axis values

For the slope;

m = (y2-y1)/(x2-x1)

m = (13.6-11)/(48-35) = 2.6/13 = 0.2

So we have the slope value as 0.2

the equation is;

y = 0.2x + b

to get b, substitute any value of (x,y)

6 = 0.2(10) + b

6 = 2 + b

b = 6-2 = 4

If we had substituted (20,8)

8 = 0.2(20) + b

8 = 4 + b

b = 4

if (48,13.6)

13.6 = 48(0.2) + b

13.6 = 9.6 + b

b = 13.6-9.6

b = 4

Hence we have established linear relationship between the volume in ounces and the price in $

So we have this as

Price = 0.2(volume) + 4

So for volume of 60 ounces;

Price = 0.2(60) + 4

price = 12 + 4

price = $16

The reason why this is appropriate is because it follows the rule of the established linear relationship

Answer:

$16

Step-by-step explanation:

The radius of a circle is 1 yard. What is the circle's circumference?
r=1 yd

Answers

Answer:

6.3 yards

Step-by-step explanation:

mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle

we have this as;

C = 2 * pi * r

r is 1 yard

c = 2 * pi * 1 = 2pi yards = 6.3 yards

The product of 3 and 2, increased by 5 to the second power , minus the quotient and 8 and 2

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 27

Explanation:

(3x2) + 5^2 - 8 / 2 = 27

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Julio has $150. Each week, he saves an additional $10.Write a function ()that models the total amount of money Julio has after weeks.

Answers

Answer:

The function that models the total amount of money Julio has after weeks is:

f(x)=150+10x, where:

x is the number of weeks

Step-by-step explanation:

With the information provided,  you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:

f(x)=150+10x, where:

x is the number of weeks

Answer: f(x)=150+10x,

Step-by-step explanation:

Can someone help find what C is?

Answers

Answer:

the first one is 10

the second one is 12.65

Step-by-step explanation:

hope this will help u

Hello there!

Here, we want to use the Pythagorean Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex].

For problem number 7, we plug 6 and 8 in for a and b. Like this:

[tex]6^{2} + 8^{2} = c^{2}[/tex]

Now we solve. [tex]6^{2}[/tex] is 36. [tex]8^{2}[/tex] is 64.

64 + 36 = 100

Then, we take the square root of 100 to get c.

[tex]\sqrt{100} = 10[/tex]

(There's something special about this triangle. If you want I'll tell you about it in the comments.)

For problem number 8, we do the same exact thing.

[tex]4^{2} + 12^{2} = c^{2}[/tex]

[tex]4^{2} = 16[/tex]  and  [tex]12^{2} = 144[/tex]

[tex]144 + 16 = 160[/tex]

[tex]\sqrt{160} = 8\sqrt{10}[/tex]

I hope this helps!!

Question 1 of 14
Sofia's family members are choosing numbers to see in
what order they will choose gifts. They will spin a spinner
with eight sections. The sections are numbered 1 through
8, and all sections are the same size.
What is the probability of spinning a number greater than 3?
A.
8
5
B.
3
8
8

Answers

Answer:

c

Step-by-step explanation:

count

Answer:

C

Step-by-step explanation:

I need help on this math question

Answers

Answer:

slope = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4-0}{2-(-3)}[/tex] = [tex]\frac{4}{5}[/tex]

4/5. Slope = rise/ run. You “rise” 4 units and “run” 5. So the slope is 4/5

x^2 - 9x = x + 24 solve for x

Answers

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 9x = x + 24 ( subtract x + 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

(x + 2)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 12 = 0 ⇒ x = 12

Find the ratio of the volume of the triangular prism
to the volume of the cuboid,
Give your answer in its simplest form



Answers

Answer:

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

Step-by-step explanation:

Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:

Triangular prism

[tex]V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm[/tex]

[tex]V_{tp} = 90\,cm^{3}[/tex]

Cuboid

[tex]V_{c} = 6\,cm\times 5\,cm \times 20\,cm[/tex]

[tex]V_{c} = 600\,cm^{3}[/tex]

Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:

[tex]r = \frac{V_{tp}}{V_{c}}[/tex]

[tex]r = \frac{3}{20}[/tex]

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

what is 654,984 × 548,784,844 × 99,999 ?

Answers

Answer:

3.594417e+19

Step-by-step explanation:

Which of these show a set of equivalent expressions ? select all that apply

Answers

A, C, E are correct
See work you in photo below
Good luck

need help just need the answer need asap

Answers

Answer:

about 236.715 ft²

Step-by-step explanation:

area of a circle = πr²

so π7.5² = 176.7145868

area of a rectangle is b × h

so 15 × 4 = 60

60 +  176.7145868 = 236.7145868 ft² ≈ 236.715 ft² (for the nearest thousandths)

y – 1.02 = 4.7
solve for y

Answers

Answer:

y=5.72

Step-by-step explanation:

Let's solve your equation step-by-step.

y−1.02=4.7

Step 1: Add 1.02 to both sides.

y−1.02+1.02=4.7+1.02

y=5.72

Answer: y=5.72

Step-by-step explanation:

4.7 plus 1.02 equals 5.72

5.72 minus 1.02 equals 4.7

helpppp pleaseeee thank you

Answers

The answer is D. 100.6
i wiuld put D as the answer , good luck

are these two lines parallel , explain or show your reasoning ?

Answers

yes they are parallel lines because they do not meet. they are straight lines

yes, they arent intersecting and they have the same slope

6th grade advanced / 7th grade khan acadamy​

Answers

The answer will be A

Answer:

Step-by-step explanation:

both  A and B are equivalent

A number cube with the numbers 1 through 6 is rolled. Find the given probability

Answers

Answer:

1/6

Step-by-step explanation:

more slopeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: for me it must be A or C I have a picture how I find my answer.

Step-by-step explanation: Hope this help :D

Write each percent as a decimal.
Draw a diagram or number line to
illustrate each percent.
a) 120% b) 250% c) 475%
d) 0.3% e) 0.53% f) 0.75%

Answers

Answer:

1.20 2.50 4.75 0.003 0.0053 0.0075

Step-by-step explanation:

Divide each percent by 100 to get the decimal form.

Sorry for not showing a diagram, but I hope this helps!

What is the surface area of the​ solid?

Answers

Answer:

120

Step-by-step explanation:

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