Find the zeros of the function.
Enter the solutions from least to greatest.
g (x)=(-5x -1)(2x +8)
lesser x =
greater x =

Answers

Answer 1

Answer:

[tex]x=-4,\:x=-\frac{1}{5}[/tex]

Step-by-step explanation:

The zeroes of the function [tex]g(x)=(-5x-1)(2x+8)[/tex] can be found by setting [tex]g(x)[/tex] to [tex]0[/tex], then solving for [tex]x[/tex]:

[tex](-5x-1)(2x+8)=0[/tex]

When either term is [tex]0[/tex], the equation is true. Therefore we have two cases:

[tex]\begin{cases}-5x-1=0,\: -5x=1, \:\fbox{$x=-\frac{1}{5}$}\\2x+8=0,\:2x=-8,\:\fbox{$x=-4$}\\\end{cases}[/tex]

Answer 2

Form the given function lesser x value is -4 and the greater x value is -1/5.

What are the zeros of a function?

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

The given function is g(x)=(-5x -1)(2x +8)

Now, (-5x -1)(2x +8)=0

(-5x -1)=0 and (2x +8)=0

-5x=1 and 2x=-8

x=-1/5 and x=-4

Therefore, form the given function lesser x value is -4 and the greater x value is -1/5.

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Related Questions

Can somebody answer this?

Answers

Answer:

c. m

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.

Answer:

the slope of the line is m

Step-by-step explanation:

why m?

because as you see in the equation

y=mx+b this means y-b/x = m

as you know slope is ∆y/∆x =m

it is the same as the first one .

Help me!! ASAP!! Plss just help me :( I will give u BRAINLYEST!!

Come up with a real world situation that would involve finding the area of a circle.

Answers

Well, if I were to come up with a real world situation that would involve finding the area of a circle then I think that a good real world situation would be finding the area of a circular sandpit.


Help plsssss I will mark as brainlest if correct

Answers

Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.

See picture:

What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?

Answers

Answer:

(-6,0.5)

Step-by-step explanation:

(-9 + -3)÷2= -6

(-4 + 5)÷2=0.5

(-6,0.5)

help me pleasee i dont know how to do thiss

Answers

Step-by-step explanation:

Since UV bisects TW, TW also bisects UV.

=> Line segments UV and TW bisect each other.

=> 4y - 3 = 2y + 1 and 3x + 8 = 3y + 2

=> 2y = 4 and 3x = 3y - 6

=> y = 2 and x = y - 2

=> y = 2 and x = (2) - 2

=> y = 2 and x = 0.

Answer:

y= 181/7 or 25.86

i really dont know about x

NEED HELP PLZ!!!!!!!!!!!!!

Answers

Answer:

1st Option is correct

Step-by-step explanation:

Just keep adding 150 to see the results

Jack needs to save $598 to buy a video game system. He is able to save $26 per week. How many weeks will it take till he can buy the video game?

Answers

Answer:

23 weeks

Step-by-step explanation:

1. 598/26 = 23

2. 23 weeks

What is the sum of the expression below? (9c – 8d) + (2c – 6) + (–d + 3)
A. 11c + 9d – 9
B. 11c – 9d – 3
C. 7c – 7d – 3
D. 7c – 9d + 3

Answers

Answer:

Answer:

11c−9d−3

Step-by-step explanation:

9c−8d+2c−6−d+3

=9c+−8d+2c+−6+−d+3

=9c+−8d+2c+−6+−d+3

=(9c+2c)+(−8d+−d)+(−6+3)

=11c+−9d+−3

Answer--

=11c−9d−3

Please help I’m so confused ;(

Answers

Answer:

Step-by-step explanation:

In a​ company, 90​% of the workers are women . If 440 people work for the company who​ aren't women ​, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.

Answers

Answer:

There are total 4400 workers

Process is in photo...

The total number of workers if, In a​ company, 90​% of the workers are women, If 440 people work for the company who​ aren't women is 4400.

What is percentage?

As it is clear from the term per-cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

In a​ company, 90​% of the workers are women,

If 440 people work for the company who​ aren't women,

Calculate the percentage of people who aren't women as shown below,

The percentage of people who aren't women = 100% - the percentage of women

The percentage of people who aren't women = 100% - 90%

The percentage of people who aren't women = 10%

Assume that there are a total of x workers then according to the statement,

10% of x = 440

10 / 100 × x = 440

x = 440 × 100 / 10

x = 4400

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Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?​

Answers

Answer:

80m - (12+4) = x

Step-by-step explanation:

Hope this helps! I mean its self explanatory

Answer:

$38.75

Step-by-step explanation:

We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.

42 slices from 3 cakes = 84 slices from____ cakes

Answers

6 Cakes man 6 cakes 42*2 3*2

Answer:

42 slices from 3 cakes = 84 slices from 6 cakes

Step-by-step explanation:

Let the unknown value be x

[tex]42 = 3\\84 =x\\\\[/tex]

Cross Multiply

[tex]42\times x = 84\times 3\\\\42x = 252[/tex]

Divide both sides of the equation by 42

[tex]\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6[/tex]

I REALLY NEED HELP ON THIS!!!!!! I WILL MARK BRAINLIEST

Answers

Answer:

y = 2,500x + 5,000

Rate of change = $2500 a year

Initial value = $5000

Step-by-step explanation:

We have 3 values to figure what is the function here, the rate of change, and the initial value.

To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.

Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.

$7,500 - $5,000 = +$2,500/year

Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.

y = ????x + 5,000

You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!

y = 2,500x + 5,000

Answer:

y=2500x + 5000

2500

5000

Step-by-step explanation:

A sandwich store chargers a $10 delivery fee, and $4.50 for each sandwich.

what is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches.

Formula (y=mx+b)

Answers

Answer:

$37

Step-by-step explanation:

Delivery fee- $10

each sandwich- $4.50

Sandwiches ordered- 6

4.50(6)+10=37

What's the difference between period and cycle in math?

Answers

Cycle is a concept of wave motion. It does not have units and dimensions, but the period is a scalar quantity.

13 m
6 m
8 m

7 m
What is the perimeter and the area?

Answers

Answer:

4368 m

Step-by-step explanation:

13x6x8x7=4368

Sara has already saved $6. She earns $3 per hour. She needs a minimum of $94 to buy her new bike. What is the minimum number of hours she must work?

Answers

Answer:

30

Step-by-step explanation:

3 times 30 = 90 - 2(for the six she already had) so 30

i think

2х +3y
what is the value of this equation

Answers

Answer:

12/15

Step-by-step explanation:

If the point (3,-4) is dilated by a scale factor of 74 , what are the new coordinates?
Now take the new points and rotated them 180°. What are the new coordinates?

Answers

Answer:

(-222, 296)

Step-by-step explanation:

Given point

(3, -4)

Dilation by a scale factor of 74:

(x, y) → (74x, 74y)(3, -4) → (74*3, 74(-4)) = (222, -296)

Rotation by 180°:

(x, y) → (-x, -y)(222, -296) → (-222, 296)

the lcm of 22 132 and 253 using prime factorization? ​

Answers

Answer:

3036

multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,

multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,

multiples of 253 are 253, 506, 759, 1012, and so on,

Its quite a time consuming process.

when all the numbers eventually meet together that is the answer.

Refer to the diagram shown.

Answers

Answer:

60º

Step-by-step explanation:

Eight friends went to a hockey game. The
price of admission per person was $x. Four
of the friends paid an extra $6 each for a
player guide book. Write and simplify an
expression that represents the total
cost.

Answers

Step-by-step explanation:

Four bought a book at $6

4 x $6 = $24

8 x $x = $8x

Expression

$24 + $8x

Represent the following expression with a single rational number.

-2 ⅖ + 3 ¼ - ⅗

HELP ME PLS

Answers

Answer:

1/4

Step-by-step explanation:

-2 2/5 + 3 1/4 - 3/5

-12/5 + 13/4 - 3/5 =

1/4


Any point on the parabola can be labeled (x,y) as shown.

1. What are the distances from the point (x,y)(x,y) to the focus of the parabola and the directrix?
Select two answers.


distance to the focus: √(x+3)2+(y−3)2

distance to the directrix: |y−4|

distance to the directrix: |x−4|

distance to the focus: √(x−2)2+(y+3)2

distance to the focus: √(x+3)2+(y−2)2

distance to the directrix: |y+4|

2. What is the correct standard form of the equation of the parabola?

Answers

Answer:

Part A)

2nd and 5th choice.

Part B)

[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]

Step-by-step explanation:

For the given parabola, our focus is (-3, 2), and our directrix is given by y = 4.

Part A)

We are given a point (x, y) on the parabola.

Since our directrix is an equation of y, the distance from (x, y) to the directrix will simply be the absolute value of the difference in y-values. So:

[tex]d_1=|y-4|=|4-y|[/tex]

Recall the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Our distance from (x, y) to the focus (-3, 2) can be determined using the distance formula. Let (x, y) be (x₂, y₂) and let our focus (-3, 2) be (x₁, y₁). Therefore:

[tex]d_2=\sqrt{(x-(-3))^2+(y-2)^2}=\sqrt{(x+3)^2+(y-2)^2[/tex]

Hence, for Part A, our answers are the 2nd and 5th choices.

Part B)

Recall that by the definition of a parabola, any point (x, y) on it is equidistant to the directrix and focus. Hence:

[tex]\sqrt{(x+3)^2+(y-2)^2}=|y-4|[/tex]

Solve for y. Square both sides. We may remove the absolute value since anything squared is positive:

[tex](x+3)^2+(y-2)^2=(y-4)^2[/tex]

Square:

[tex]x^2+6x+9+y^2-4y+4=y^2-8y+16[/tex]

Rearrange:

[tex](x^2+6x+13)+(-16)=(y^2-y^2)+(-8y+4y)[/tex]

Combine like terms:

[tex]x^2+6x-3=-4y[/tex]

Divide both sides by -4. Hence, our equation is:

[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]

Heyo! :D

Distance to the directrix is |y - 4|.

Distance to the focus is [tex]\sqrt{(x+3)^2+(y-2)^2}[/tex].

Hope this helps! If so, please lmk! Tysm and good luck!

3+(7-5)to the power of 2 x 6

Answers

Answer:

27

Step-by-step explanation:

PEMDAS

That is the order that you should solve complex equations

You first do equations in Parentheses

Then exponents

Then Multiplication or Division (whichever comes first in the equation)

Then Addition or Subtraction (again, whichever comes first in the equation)

So we first do the equation in parentheses, 7 - 5

7 - 5 = 2

Then we do the exponent (to the power of 2)

2 to the power of 2 is 4 (fun fact. 2 + 2 is the only equation that is the same in addition form and multiplication form)

Next, we multiply 4 by 6

4 x 6 = 24

And finally addition

3 + 24 = 27

describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4

Answers

It will move 4 to the right horizontally

A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?

Answers

The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.

What is probability ?

Probability of something is the occurrence of a certain event out of the total events that can occur.

According to the given question

The total no. of chocolates in the box is

(5 + 5+ 5) = 15 chocolates.

The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.

There are 5 milk chocolates.

So, probability of getting a milk chocolate first is

P(mc) = 5/15

= 1/3

Now the the chocolate can no be replaced because it is eaten

Probability of getting a dark chocolate second is

P(dc) = 5/14                          (as the total no. of chocolate is reduced by 1

                                                                    because it has been eaten)  

And the probability of getting a white chocolate in 3rd attempt is

P(wc) = 5/13

As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is

P(mc) ∩ P(dc) ∩ P(wc)

= P(mc) × P(dc) × P(wc)

= (1/3 × 5/14 × 5/13)

= 25/546.

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I need help it really hard

Answers

Answer:

ΔPQR and ΔSTU are not similar.

Step-by-step explanation:

The two triangles look distinguishable from each other.

The triangles are not similar

– 7y = 7x + 21

Please I need these two question answered fasttttt, I need to get the slope and y-intercept for both these problems.

Answers

Answer:

slope=-1

y-intercept=-3

Step-by-step explanation:

if you solve the equation, it equals y = -x-3 since you divide -7 from both sides

Esther and her 6 brothers went shopping at the mall. She shopped in 12 different stores while her brothers each shopped in 8 different stores. How many stores did Esther and her brothers shop in altogether?

Answers

Answer:

60 stores

Step-by-step explanation:

Here, we want to get the total number of stores in which Esther and her 6 brothers went shopping

From the question, she shopped in 12 different stores

Each of her six brothers shopped in 8 different stores

That makes the number of stores in which the brothers shop be 8 * 6 = 48 stores

The total number of stores is thus, 48 + 12 = 60 stores

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