WILL GIVE BRAINLIEST, 5 STARS, THANKS!!!
Someone please factors these four problems all with step-by-step explanations!! I really don't understand how to do any of them, please help!!!
3x^2 + 10x+ 8

18x^2+39x-15

16x^2-25

6x^2-11x-10

PLEASEEEEE help me...!

Answers

Answer 1

Answer are in order:

[tex]\left(3x+4\right)\left(x+2\right)[/tex]

[tex]3\left(3x-1\right)\left(2x+5\right)[/tex]

[tex]\left(4x+5\right)\left(4x-5\right)[/tex]

[tex]\left(3x+2\right)\left(2x-5\right)[/tex]

Step-by-step explanation:

[tex]3x^2 + 10x+ 8[/tex]

[tex]\mathrm{Break\;the\;expression\;into \;groups}[/tex]

[tex]=\left(3x^2+4x\right)+\left(6x+8\right)[/tex]

[tex]\mathrm{Factor\;out\;x\;from\; 3x^2+4:}x(3x+4)[/tex]

[tex]\mathrm{Factor\;out\;2\;from\;6x+8:2(3x+4)}[/tex]

[tex]=x\left(3x+4\right)+2\left(3x+4\right)[/tex]

[tex]=\left(3x+4\right)\left(x+2\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]18x^2+39x-15[/tex]

[tex]\mathrm{Factor\;out\;common\;term\;3:3(6x^2+13-5)}[/tex]

[tex]18x^2+39x-15[/tex]

[tex]\mathrm{Factor\;6x^2+13x-5:(3x-1)(2x+5)}[/tex]

[tex]=3\left(3x-1\right)\left(2x+5\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]16x^2-25[/tex]

[tex]\mathrm{apply\;exponents\;rules}[/tex]

[tex]=\left(4x\right)^2-5^2[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

[tex]\left(4x\right)^2-5^2=\left(4x+5\right)\left(4x-5\right)[/tex]

[tex]=\left(4x+5\right)\left(4x-5\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]6x^2-11x-10[/tex]

[tex]\mathrm{Break\;the\;expression\;into\;groups}[/tex]

[tex]=\left(6x^2+4x\right)+\left(-15x-10\right)[/tex]

[tex]\mathrm{Factor\;out\;2x\;from\;6x^2+4x:2x(3x+2)}[/tex]

[tex]\mathrm{Factor\;out\;-5\;from\;-15x-10:-5(3x+2)}[/tex]

[tex]=2x\left(3x+2\right)-5\left(3x+2\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}3x+2[/tex]

[tex]=\left(3x+2\right)\left(2x-5\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with Lenvy~


Related Questions

Here is a system of linear equations
2x+3y=14
4x-3y=10

Which would be more helpful for solving the system: adding the two equations or subtracting one from the other?

Answers

Answer:

adding the 2 equations

Step-by-step explanation:

2x + 3y = 14 → (1)

4x - 3y = 10 → (2)

since the coefficients of the y- terms are opposites then adding will eliminate y

add (1) and (2) term by term

6x + 0 = 24

6x = 24 ( divide both sides by 6 )

x = 4

substitute x = 4 into either of the 2 equations and solve for y

substituting into (1)

2(4) + 3y = 14

8 + 3y = 14 ( subtract 8 from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

solution is (4, 2 )

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

We know,

[tex]{\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

Here,

Diameter of the sphere is 28 m . Therefore, The radius of the sphere is 14 m.

We will take the value of π as [tex]\sf\dfrac{22}{7} . [/tex]

Substituting the values in the formula :

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(14 \bigg)}^{3} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {2744 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{ \cancel7} \times \cancel{2744 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{ \cancel3} \times {22} \times \cancel{392 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = {4} \times {22} \times {130.66 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\pmb{\mathfrak{ Volume_{(Sphere)} = { 11498.66 }}}}}}[/tex]

Therefore,

Volume of the sphere is about 11500 cubic meters . (Rounded to nearest tenth)

Determine if the sequence below is arithmetic or geometric and determine
common difference / ratio in simplest form.
22, 16, 10, ...

Answers

Answer:

It is arithmetic

Step-by-step explanation:

Using the rule T2-T1

We see that 16-22 is -6

We can also try T3-T2

We see that 10-16 is also -6

Their is a constant common difference and that constant common difference is -6.

Hope that helps :)

Find the volume of the cylinder. Enter the answer EXACTLY as it appears on
your calculator. NO ROUNDING this time.

Answers

Answer:

653.45

Step-by-step explanation:

Write the algebraic representation when the
scale factor is 8.

Answers

hi, the answer is (8x, 8y)

i really need help with my homework and its so hard can you help me plss here is question one m+43=38+46

Answers

Answer:

m = 41

Step-by-step explanation:

m + 43 = 38 + 46

m + 43 = 84 ( subtract 43 from both sides )

m = 41

(will mark brainliest to whoever responds!) PLEASE HELP ME OUT :)

Answers

36 ft :)

Have a great day!

Part A: What do the x-intercepts and maximum value of the graph represent in context of the described situation?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit for the company in the situation described?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent in
context of the described situation?

Answers

The x intercept of the given graph of the company's profit is where the curve of the graph crosses the x-axis.

How to determine the x-intercept

In this figure, the graph crosses the x-axis at x = 0 and x = 6

This represents the profit is 0 when the price is $0 and $6, respectively

The maximum value

This represents the maximum profit that can be made.

From the graph, the maximum profit is $120

The increasing and the decreasing interval

From the graph, the graph increases from x = 0 to x = x = 3, and it decreases from x = 3 to x = 6

These intervals represent when the profit increases, and when it decreases

The average rate of change

This is calculated as:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

So, we have:

[tex]m = \frac{f(3) - f(1)}{3 - 1}[/tex]

[tex]m = \frac{f(3) - f(1)}{2}[/tex]

Substitute known values

[tex]m = \frac{120 - 60}{2}[/tex]

[tex]m = \frac{60}{2}[/tex]

Simplify

[tex]m = 30[/tex]

Hence, the average rate of change from x = 1 to x = 3 is a profit of $30 per unit sale

Read more about functions and graphs at:

https://brainly.com/question/13473114

Which expressions represent the total area of the large rectangle.

Answers

Answer:

a, c, and e represent the total area

Answer:

(m+n)*6

Step-by-step explanation:

The total area of a rectangle= length*breath

So using this,

Length (l)=n+m

Breath (b)= 6

We know that,

Area of rectangle (A)=l*b

=(n+m)*6

=(n+m)6

WIll mark brainliest

Answers

Answer:

84

Step-by-step explanation:

The formula for the area of a triangle is 1/2bh. the base is 7, and the height is 24. 7×24=168/2=84ft2

I HOPE THIS HELPS YOU

help meh out please:)

Answers

The distance between two points is the number of units between them

The distance between the oak tree and the maple tree is 9 yards

How to determine the distance?

From the diagram, we have the following highlights:

The distance between the maple tree and the end is [tex]28\frac 26[/tex] yardsThe distance between the oak tree and the end is [tex]11\frac 36 + 7\frac 56[/tex] yards

The distance (d) between the oak tree and the maple tree is the difference between the above measurements.

So, we have:

[tex]d = 28\frac 26 - (11\frac 36 + 7\frac 56)[/tex]

Simplify the expression in the bracket

[tex]d = 28\frac 26 - (19\frac 26)[/tex]

Subtract

[tex]d = 9[/tex]

Hence, the distance between the oak tree and the maple tree is 9 yards

Read more about distance at:

https://brainly.com/question/4931057

The distance between the maple tree and the oak tree is 9 yards

The distance between the maple tree and the end is 28 2 / 6 yards(170 / 6)

The distance between the oak tree to the end is the sum of  oak to pine and pine to the end. Therefore,

11 3 / 6 + 7 5 / 669 / 6 + 47 / 6 = 69 + 47 / 6 = 116 / 6 = 58 / 3 yards

Therefore, the distance between the maple tree and the oak tree is as follows;

Difference:

Difference is the subtraction of one number from another. Therefore, the distance between the maple tree and the oak tree is the difference between the maple tree to the end and the sum of  oak to pine and pine to the end.

170 / 6 - 58 / 3 = 170 - 116/ 6 = 54 / 6  = 18 / 2 = 9 yards

Therefore,  the distance between the maple tree and the oak tree is 9 yards

learn more on distance here: https://brainly.com/question/26891337

is it 1 2 3 or 4 look at file drop

Answers

Answer:

D (4,8)

Step-by-step explanation:

Which equation is translated 5 units up from f(x) = 3^x

Answers

Transformations of Exponential Functions

The parent exponential function is the following:

[tex]f(x)=b^x[/tex], where b is the base.

We can apply many different types of transformations to this function:

[tex]g(x)=a*b^{k(x-d)}+c[/tex]

a ⇒ describes vertical stretchk ⇒ describes horizontal stretchd ⇒ describes horizontal translationc ⇒ describes vertical translation

Solving the Question

In this question, we are working with vertical translation.

When a function is translated up, c is positive.When a function is translated down, c is negative.

We are translating the given function [tex]f(x)=3^x[/tex] 5 units up. This means that we will be adding 5 to the function:

[tex]g(x)=3^x+5[/tex]

Answer

a. [tex]g(x)=3^x+5[/tex]

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Based on the linear regression equation, the intercept means that for 0 missed classes, the expected test score is 98✓

we know that,

y intercept exist when x = 0

so,

⇢y = -4x +98

⇢y = -4 x 0 +98

⇢y = 98

so , the expected test score is 98

Based on the linear regression equation, the slope means that for every missed class, the expected tast score decreases by 4 points✓

when x = 0

y = -4(0) +98

when x = 1

y= -4(1) +98 = 94

when x = 2

y= -4(2) +98 = 90

we can see the decresement of 4 points

Based on the linear regression equation, as the number of days a student misses class increases the expected test score decreases ✓

We can see that the increament in absent days lead to lower scores ( one class = 4 points)

y=-4x+98

For 0 clases

y=-0+98=98

Option A is certified as correct

Here slope is -4

So it decreasing not increasing

Option C is correct

Yes as the missed classes increase expected test decreasing as slope is negative.

Option F is correct

HELP PLEASE i will give 25

Answers

Answer:

130°

.....

....................

In a toy​ store, the ratio of the number of teddy bears to the number of dolls is 7:3 . If the store has 140 teddy bears ​, how many dolls are in the​ store?

Answers

Answer:

I prefer to set their units in order so it can help me;

Bears/Dolls

7 Bears     140 bears

_______ = _______

3 Dolls               x

⇒ 7 Bears   x20  140 bears

   _______    =    _______ , 3(20) = 60 Dolls

    3 Dolls     x20         x

A group of students must collect at least $150 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?

Number line graph with a closed circle on 120 and shading to the right.
Number line graph with a closed circle on 30 and shading to the right.
Number line graph with a closed circle on 150 and shading to the right.
Number line graph with a closed circle on 180 and shading to the right.

Answers

Answer:

Number line graph with a closed circle on 120 and shading to the right.

Step-by-step explanation:

Because they have collected 30 dollars already and must collect at least 150 dollars, the closed circle would go on 120, going to the right. (150-30=120)

Evaluate this friends please ?

Answers

Hello.

First, let's recall the Properties of Exponents:

[tex]\displaystyle(\frac{a}{b} )^{m}[/tex]= [tex]\displaystyle\frac{a^{m} }{b^{m}}[/tex]

Let's use this property to simplify the given expression:

[tex]\displaystyle(\frac{9}{16} )^\frac{1}{2}[/tex]

[tex]\displaystyle\frac{9^{\frac{1}{2} } }{16\x^{\frac{1}{2} } }[/tex]

Now, the [tex]\frac{1}{2}[/tex] power means "square root of"

The square root of 9 is 3, and the square root of 16 is 4.

Thus, we have

[tex]\displaystyle\frac{\sqrt{9} }{\sqrt{16} } \\\displaystyle\frac{3 }{4}[/tex]

Therefore, the answer is

[tex]\displaystyle\frac{3}{4}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

A sculpting tool is in the shape of a solid triangular prism. The tool is made of 12 in. 3 of metal and is 4 in. Long. What is the height of the base if it is 2 in. Wide? 1. 5 in. 3 in. 48 in. 96 in.

Answers

The height of the base if it is 2 in. Wide is 3 inches

what is the height of the base of the prism?

The volume of rectangular prism =  [tex]\dfrac{1}{2} \times Lenght \times Base \times hieght[/tex]

The volume of given rectangular prism = [tex]12 inch ^{3}[/tex]

Length of prism = 4 inch

The base of prism = 2 inch

By putting the values in the formula

[tex]12= \dfrac{1}{2} \times 4 \times 2\times Height[/tex]

so from the above calculations

[tex]height=3 inches[/tex]

Thus the height of the base if it is 2 in. Wide is 3 inches

To know more about the volume of the prism follow

https://brainly.com/question/23963432

Sorry if it's a bother, but what's the answer to these? I'm having a little bit of trouble.

Answers

Solution (a):

~Let's change 9.9² to 10² since we have to estimate.~

We know that:

10² = 100Given expression: 9.9² × 1.79

Solving the expression:

9.9² × 1.79=> 10² × 1.79=> 100 × 1.79=> 179

The estimated value of 9.9² × 1.79 is 179.

Solution (b):

~Let's change √97.5 to √100 and 1.96 to 2 since we have to estimate.~

We know that:

√100 = 10Given expression: √97.5 ÷ 1.96

Solving the expression:

√97.5 ÷ 1.96=> √100 ÷ 2=> 10 ÷ 2=> 5

The estimated value of √97.5 ÷ 1.96 is 5.

3.) Simplify the expression by combining like
terms: 45s^2 - 19 - s^2 + 16
please help i’m sick and don’t understand:(

Answers

[tex]45s^2-19-s^2+16\\=45s^2-s^2-19+16\\=s^2(45-1)-19+16\\=44s^2+(-19+16)\\=44s^2-3[/tex]

Hope that helps and hope you get better!


Solve for m:
(-11/6) + m = -2/9
M=

Answers

Step-by-step explanation:

(-11/6) + m = -2/9

m = -2/9 + 11/6

the last common multiple of 9 and 6 is 18.

so, we are bringing both fractions to .../18.

m = -2×2/18 + 11×3/18 = -4/18 + 33/18 = 29/18

A) 22.4
B) 43.7
C) 85.3
D) 4.75

Answers

The answer is approximately b and the wrong answers are A C and D you’re welcome make sure you give me 5 stars

Answer:

its should be b

Step-by-step explanation

mark brainlist

Consider an urn with 7 black balls, 3 yellow balls, and 4 orange balls. If 3 balls are chosen randomly with replacement, what is the probability that the first is yellow, the second is orange, and the third is orange

Answers

Answer:

1.79% chance or [tex]\frac{6}{343}[/tex]

Step-by-step explanation:

7+3+4=14

chance of yellow [tex]\frac{3}{14}[/tex]

chance of orange [tex]\frac{4}{14}[/tex]

[tex]\frac{3}{14} * \frac{4}{14} *\frac{4}{14} = \frac{6}{343}[/tex]

Jeff had 1 A,4Bs and 2 C's what was he's gpa

Answers

Answer:

Hes Gpa Is that man is good. helps :0

Step-by-step explanation:

50 POINTS!
The two main parts of an equation in Slope-Intercept Forrn are the Slope and the Y-Intercept.

A. True

B. False

Answers

Answer:

A

Step-by-step explanation:

24 candy bars cost $48.
How much do 10
candy bars cost?

Answers

Answer: $20

$48/24 = $2 for each candy bar

10 candy bars * $2 = $20

Larry is preparing jars of tomatoes from his garden. Each of his three sisters has asked for at least two jars of tomatoes, and Larry needs at least five jars for himself. i need help right now

Answers

if i tell you the truth i dont even know

Find the 95th term of the arithmetic sequence 4, -5, -14

Answers

Answer: -842

Step-by-step explanation:

To find n95, we have to use the equation aₙ = d * n + a₁ - d

a₁ is the first term, which here is 4. d is the common difference, which we can find out but seeing what we can add pr subtract from 4 to -5 which also equals -5 to -14, in this equation, the common difference would be -9 as it goes down by 9 every term. Once we plug these into the equation, we get

a₉₅ = -9 * n + 4 - (-9)

We can solve this for - aₙ = -9n + 13

Now that we have our equation to find a term, we can plug in n for 95 for

-9(95) + 13

Which equals -842

This line plot shows how many hours Ella practiced her flute this month. What is the difference, in hours, between the longest practice and the shortest practice?

Answers

Answer:

C

Step-by-step explanation:

Longest practice is 2 1/2 hours long

Shortest is 1 1/4 hours long

For difference, subtract 1 1/4 from 2 1/2

Convert mixed to improper fractions

(2*2+1)/2 - (1*4+1)/4

5/2 - 5/4

10/4 - 5/4 = 5/4

Change back to mixed fraction

1 1/4

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