x- intercept? explanation please

X- Intercept? Explanation Please

Answers

Answer 1

Answer:

x-intercept = 2

Step-by-step explanation:

Sum = 3

Product = -10

Factors = 5 , (-2)      {5*(-2) = -10  & 5 +(-2) = 3)

Rewrite the middle term using the factors: 3x = 5x - 2x

x² + 3x - 10 = x² + 5x - 2x - 10

                  =x(x + 5) - 2(x + 5)

                  = (x +5)(x - 2)

x² + 8x +15 = x² + 3x + 5x + 15

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

                  = (x + 3)(x + 5)

[tex]f(x) =\dfrac{x^{2}+3x -10}{x^{2}+8x + 15}\\\\=\dfrac{(x+5)(x -2)}{(x+5)(x+3)}\\\\=\dfrac{x-2}{x+3)}[/tex]

At x-intercept, y = o

[tex]\dfrac{x -2}{x + 3}=0\\[/tex]

x - 2 = 0

x  = 2


Related Questions

Question number 13, please help

Answers

Answer:

4)

That is the answer

2|x/2+3|=1, solve for x, there is two answers.

please help asap I will give brainiest

Answers

Answer: -5 and -7

Step-by-step explanation:

|[tex]\frac{x}{2}[/tex]+3| = [tex]\frac{1}{2}[/tex]

It has 2 cases

the first case ;

[tex]\frac{x}{2}[/tex] + 3 = [tex]\frac{1}{2}[/tex]

[tex]\frac{x}{2}[/tex] = [tex]\frac{-5}{2}[/tex]

x = -5

the second case;

[tex]\frac{x}{2}[/tex] + 3 = [tex]\frac{-1}{2}[/tex]

[tex]\frac{x}{2}[/tex] = [tex]\frac{-7}{2}[/tex]

x = -7

please give me a brainliest answer

2.675 in expanded form
54.906 in expanded form
Plz answer stat!​

Answers

2.675 = 2.000 + 0.600 + 0.075 + 0.005

54.906 = 50.000 + 4.000 + 0.900 + 0.006

maths help me maths giving 10 point​

Answers

Step-by-step explanation:

[tex]x-2>4[/tex]

[tex]x>6[/tex]

And

[tex]3x+1\leq 28[/tex]

[tex]3x\leq 27[/tex]

[tex]x\leq 9[/tex]

So [tex]x[/tex] ∈ [tex](6, 9][/tex]

Please give me a brainliest answer

Jaoquin buys 3 dozen lightbulbs. After changing the lightbulbs in his house, he has 15 lightbulbs left. How many lightbulbs did he use?

Answers

Answer:

21

Step-by-step explanation:

1 dozen=12

3 dozen= 36

15-36=21

Using the expression above, choose the correct answers for the new balance and the amount of interest earned in the following compound interest problem.

$850 at 8% for 8 years, compounded annually.

Total Amount = $

Interest Amount = $

Answers

Total amount $1573
Interest amount $723
Total amount after 8 years is $1,573.29 and the interest earned is $723.29

HELP PLEASE 10 POINTS

Answers

Answer:no idea

Step-by-step explanation:

May I please receive help?

Answers

Answer:

m‹F=25°

AB=12

Step-by-step explanation:

HOPE IT HELPS

Expand the following

Answers

Answer:

A) 3x +15

B) 8x -2

C) 20x + 10

D) 4x - 8y

Step-by-step explanation:

A) 3x+3 x 5 = 3x + 15

B) 2 x 4x -2 = 8x -2

C) 5 x 4x +5 x 2 = 20x + 10

D) 4x -4 x 2y = 4x - 8y

(Hope this helps can I pls have brainlist (crown)☺️)

Given the function f(x) = 6(x-4)2 + 3, which of the following statements is NOT TRUE?
a:the function shifts right 4 and up 3
b: the function is compressed by 6 and shifted right 4
c:the function is stretched by 6 and shifter left 4
d:the function is stretched by 6 and shifted up 3

Answers

b is false.

This function is vertically stretched by a factor of 6, not compressed.

Cantaloupes are four for $9, how many can you buy for $25?

Answers

You can buy 2

Explanation
25$/9$=2.8 but you can’t buy .78 of a cantaloupe

find the product binomial expression of;

(x-5) (8-5)​

Answers

Answer:

3x-15

Step-by-step explanation:

(x-5)(8-5)

(x-5)(3)

re-order

(x-5)×3

3(x-5)

Distribute

3(x-5)

3x-15

On a scale drawing of a map, two houses are 4 inches apart. The actual distance that they are apart is 30 miles. What is the scale used to create the scale drawing of the map?

Answers

Answer:

The map scale is 1 : 475200

Step-by-step explanation:

A skyscraper is a rectangular prism with a height of 398 meters. The bases are squares with sides that are 62 meters. What is the surface area of the skyscraper?

Answers

Answer:

106,392 meters squared.

Step-by-step explanation:

Surface area of a rectangular prism or cuboid is given by:

SA = 2 (lw + wh + lh)

where:

· l is the length of the cuboid.

· w is the width of the cuboid.

· h is the length of the cuboid.

Here we have h = 398 m, l = w = 62 m because this is a square base.

So we get:

SA = 2 ( 398 · 62 + 62² + 398 · 62)

= 2 (24676 + 3844 + 24676)

= 2 · 53196

= 106392 m²

Calculate the surface area of the following objects.​

Answers

Answer: 15150 [tex]cm^{2}[/tex]

Step-by-step explanation:

2(83 × 45) + 2(30 × 45) + 2(30 × 83)

2(3735) + 2(1350) + 2(2490)

7470 + 2700 + 4980

= 15150

please give me a brainliest answer

Rectangle PROM has a perimeter of 42 inches, and OR = 8 inches. What is the area of the rectangle PROM?

Answers

Answer:

104 in²

Step-by-step explanation:

If OR = 8 then 8 x 2 = 16

PM= (42-16)/2=13

Therefore area = 8 x 13 = 104 in²

To check the perimeter is right:

2(8+13) = 42

WILL MARK BRAINLIEST
Evaluate the answer in exponential form

Answers

Answer:

-2.0000 times -2.000 = 4

Step-by-step explanation:

-3x-2=
-3x-2=
-3x1.5=
-3x3=

Answers

Answer:

a,6. b, 6 c, -4.5. d, -9

Step-by-step explanation:

a, -3*-2

3*2. b/c of -ve * -ve is positive the answer comes 6

b, same as a

c, -3*1.5

- 4.5

d, -3*3

- 9

5x+6=61 Show Step By Step

Answers

5x =61-6
5x= 55
X = 55/5
X = 11

Answer:

x=11

Step-by-step explanation:

5x+6=61

61-6=5x

55=5x

x=11

Lin rode her bike 1 mile in 4 minutes, 2 miles in 8 minutes. Every 1 minute she rode how many miles?

Answers

Answer: [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

4 minutes in 1 mile

so 1 minute in [tex]\frac{1}{4}[/tex] mile

please give me a brainliest answer

hi help pls will mark as brainlist!!!!!!!!!​

Answers

Answer:

The answer would be B.) 30.

Step-by-step explanation:

If it took 15 workers 20 day, and you want to split it so it gets done in 10 days, you would want 15 more workers to get the job done quicker, doing this would have you a total of 30 workers.

Solve 2x - 4 > 10 and select all of the following answer choices that would make this inequality true. A)9 B) 5 C) 6 D)8

Answers

Answer:

x > 7

Step-by-step explanation:

lols ppz help1/2 (2 1/2×4 4/5-7 1/2)????,,,,,​

Answers

Answer:

If you've written it correctly, the answer is 2.25.

Step-by-step explanation:

Can be written as:

0.5 * (2.5 * 4.8 - 7.5).

Perform the multiplications inside the brackets, first:

0.5 * ( 12 - 7.5)

Then perform the remaining arithmetic inside the brackets:

0.5 * ( 4.5)

Perform the last arithmetic:

2.25.

Again, that's if you've written it correctly, and when you say 4 4/5-7 1/2 this actually means four and four fifths (4.8) minus seven and a half (7.5).

Answer:

[tex] - 2 \times \frac{3}{80} [/tex]

Step-by-step explanation:

solve using BODMAS

Emma has just started a new sales job. She makes $20 an hour. On top of her hourly wages, she’ll be paid a commission of 15% on all sales she makes. Use this information to answer the following questions.

Part A
Question
Which equation in the form y = mx + cs models Emma’s situation?

y = 20x + 0.15
y = 20x + 15
y = 20x + 0.15s
y = 20x + 15s

Answers

Answer:

y = 20x + 0.15s

Step-by-step explanation:

Shew makes $20 par hour, so for x hours, she makes 20x.

She makes 15% commission on the sales, s. 15% = 0.15,so for the sales, s, she makes 15% * s = 0.15s.

The total she makes is 20x + 0.15s

Answer: y = 20x + 0.15s

The equation in the form y = mx + cs models Emma’s situation is

y = 20x + 0.15s

Shew makes $20 par hour, so for x hours, she makes 20x.

What is the slope-intercept form of the line?

The slope-intercept of the line y= mx+c

Where y co-ordinate

x-  x co-ordinate

m=slope of the given line

C-y intercept.

She makes 15% commission on the sales, s. 15% = 0.15,

So for the sales, she makes

15% * s = 0.15s.

The total she makes is 20x + 0.15s

y = 20x + 0.15s

To learn more about the line visit:

https://brainly.com/question/7098341


b. Does a12 x a4 = a8 x a8 for all values of a? Explain.

Answers

Answer:

We can use the Laws of Exponent to rewrite both sides of the equation:

Let a¹² x a⁴ = a⁸ x a⁸

⇒        a¹²⁺⁴ = a⁸⁺⁸

             a¹⁶ = a¹⁶  ✅

⇒  a¹² x a⁴ = a⁸ x a⁸ is true for all values of a.

Explanation:

The equation a¹² x a⁴ = a⁸ x a⁸ is true because, on both the RHS and LHS of the equation, both terms in 'a' have exponents that when added (Law of Multiplication of Exponents) are equal to each other, i.e. 12+4 = 8 + 8.

A = (b1 + b2) h / 2
I'm so confused, and i need to solve for h.

Answers

Answer:

Step-by-step explanation:

Begin by multiplying both sides by 2

2*A  =  2*(b1 + b2) * h/2                        Cancel the 2s

2A = (b1 + b2 ) * h                                 Divide both sides by (b1 + b2)

2A/(b1 + b2) = (b1 + b2)*h / (b1+b2)     Cancel B1 + b2

2A/(b1 + b2) = h

what is the highest iq

Answers

Answer:

im pretty sure it was ainan celeste with their score of 263 IQ

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think its 200

what the frige please help​

Answers

Answer:

Your answer is A, 3x - 2x.

Step-by-step explanation:

Triple a number means to multiply it by 3.

Double a number means to multiply it by 2.

Difference means to subtract.

Hope this helps!

Answer:cim not sure tho

Step-by-step explanation:

2.) Use rigid motions to explain whether the triangles in the graph are congruent.


What are the coordinate rules that were used to map one triangle to the next?

1st rule:

2nd rule:

Answers

Answer:

1st rule: Reflection over the X-axis, (x,y) -> (x , -y)

2nd rule: Horizontal translation to the RIGHT 6 units (x , -y) -> (x+6 , -y)

Step-by-step explanation:

1st rule: Reflection over the X-axis, (x,y) -> (x , -y)

2nd rule: Horizontal translation to the RIGHT 6 units (x , -y) -> (x+6 , -y)

MJS: (4,-4) (-2,-3) (-3,1) -> (-4,4) (-2,3) (-3,-1) -> (2,4) (4,3) (3,-1)

They are congruent!!

if 3^x = 1, find the value of x.​

Answers

[tex]\\ \sf\longmapsto 3^x=1[/tex]

[tex]\\ \sf\longmapsto 3^x=3^0[/tex]

[tex]\\ \sf\longmapsto x=0[/tex]

Done

Answer:

0

Step-by-step explanation:

hope this helps darling

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