please factor and find the zeros of each relation (18 marks)

C. y = 30x^2 + 44x +16
D. y = 10x^2 + 60x + 80

Answers

Answer 1

Answer:

[tex]C. \ \frac{-2}{3} , \ \frac{-4}{5}\\\\D. \ -2, \ -4[/tex]

Step-by-step explanation:

C.

[tex]30x^2 + 44x +16 = 0\\\\2(15x^2 + 22 + 8) = 0\\\\2(15x^2 + 12x + 10x + 8) = 0\\\\2(3x(5x + 4)+2(5x + 4))=0\\\\2((3x + 2)(5x + 4)) = 0\\\\Zeroes : 3x + 2 = 0 => x = \frac{-2}{3}\\[/tex]

             [tex]5x+ 4 = 0 => x = \frac{-4}{5}[/tex]

D.

[tex]10x^2 + 60x +80 = 0\\\\10(x^2 + 6x + 8)= 0\\\\10(x^2 + 4x + 2x + 8)=0\\\\10(x(x+4)+2(x+4))=0\\\\10((x+2)(x+4))=0\\\\Zeroes : x + 2 = 0 =>x = -2[/tex]

            [tex]x + 4 = 0 => x= -4[/tex]


Related Questions

The area of a rectangular window is 8526 cm?
If the length of the window is 98 cm, what is its width?

Answers

Answer:

87cm

Step-by-step explanation:

Length x width = area

98 x width = 8526

width=8526/98

width=87

Which expression is NOT equal to 28?
A (9+ 25 = 5) 2

B.3-4x2) - 11x7

C.42= 6 + 28 = 4

D. 7* [8-(2-4 * 2)]
I

Answers

Answer:

You need the legnth of x

Step-by-step explanation:

Answer:

C.42= 6 + 28 = 4 is the answer

What are the solutions to the equation x2 + 4x – 12 = 0? O A. x = -6 and x = 2 O B. x= -4 and x= 3 O C. X=-3 and x = 4 D. x = -2 and x = 6​

Answers

Answer:

the answer is A.

Find the area of the triangle
The area is __yd^2

Answers

Answer:

13.5 yd²

Step-by-step explanation:

area = 1/2 ×4.5×6 = 13.5 yd²

Step-by-step explanation:

A=(base x height)/2

Base=6yd

Height=4.5yd

A=(4.5 x 6)/2 = 13.5yd^2

Can someone plz help me on this one

Answers

For the perimeter use the formula 2x3.14xr

step 1: divide the 20 by 2

step2:multiply 3.14 by the qoutient of the division

step3:divide again by 2

For the area the formula is 3.14 x r x r

the r is the qoutient on step one

step 1: multiply both Rs

step2: multiply the 3.14 by the product of step one.

and you are done i hope it helps you

Marking brainliest

Why is this right important

Answers

It’s pretty much just saying up front that there will be no bias on people because of race, gender, ethnicity, religion, etc. It’s just setting in stone the fact that any sort of discrimination or prejudice will not be tolerated at all.

The midpoint of AB is M(5,-2). If the coordinates of A are
(6,-5), what are the coordinates of B?

Answers

Answer:

The coordinates of point B are (4,1)

Step-by-step explanation:

The easiest way of solving and explaining this question would to go by steps from each point. From point A to the midpoint, we go 1 left on the x axis from 6->5 and 3 up on the y axis from -5->-2. You then repeat these steps again to go from the midpoint to B. (5-1,-2+3) = (4,1)

what is an equation in point slope form of the line that passes through (-5, -4) and has a slope of 3

Answers

Answer:

y + 4 = 3(x + 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 5, - 4) , then

y - (- 4) = 3(x - (- 5) ) , that is

y + 4 = 3(x + 5)

Hi there! The point-slope is shown in the picture.

Both x1 and y1 are the ordered pairs or coordinate points. Not to be confused with the x and y, they are just for to form an equation of a line.

As we know, m is defined as slope.

What we have now are:

the value of slope (m = 3)(x1, y1) = (-5,-4)Point-Slope equation

Substitute the value of the point and slope in the equation.

[tex] \large{y - ( - 4) = 3(x - ( - 5))} \\ \large{y + 4 = 3(x + 5)}[/tex]

Answer

The point-slope form for this question is y+4=3(x+5)

GO FROM BLACK DOT TO BLACK DOT FOR CALCULATIONS TO BE ACCURATE
1 BOX = 1 FOOT

Across the room are your 2 best friends Sara & Jon
Laying at the exact midpoint between them is /y
the perfect zombie killing potion. Unfortunately,
Sara & Jon have both developed a taste for brains so they won't
be much help. What are the coordinates of the potion?
ROUND TO THE TENTHS

Answers

Answer:45

Step-by-step explanation:

i know this

Which of the following inequalities are true

Answers

Answer: The answer is E: |-4|<|-7| and C: |-7|>|4|

I'm so confused pls help

Answers

Answer:

Step-by-step explanation:

 Slope = 3.200/2.000 = 1.600

 x-intercept = 5/8 = 0.62500

 y-intercept = 5/-5 = 1/-1 = -1.00000

Please help, nobody is helping I need to find surface area

Answers

Answer:

A) 147.6 sq m

Step-by-step explanation:

Separate the pyramided out into 4 triangles and add those

3 of them (sides) will be the same

[tex]A=h\frac{b}{2} \\A=10\frac{4}{2} \\A=20[/tex]

This is one half of the side, multiply by 2 to get the area of the entire side, 40 square m.

The area of all 3 sides together is 40*3 = 120 sq m

For your base, your height will be 6.9 and your base is 4

A = 13.8  sq m

multiply by 2 again for the entire base

A=27.6 sq m

Now add both

120 + 27.6

$(x^2-4x+2)^{x^2-5x+2} = 1.$
;PPP

Answers

The answer is in the picture

It shows how you kind of get the answer and kind of explains it.

Please help ASAP I need helppppoñ

Answers

answer is the 3rd one here’s the working

For 1a-1b: At a book sale, all books cost less than $5
(1a) What is the highest price that a book could be?

Answers

Answer:

$4.99

Step-by-step explanation:

It is the largest amount under $5.

9 is what percent of 60

Answers

Answer:

15%

Step-by-step explanation:

[tex]\frac{9}{60} = \frac{3}{20}[/tex]

[tex]\frac{3}{20} = 0.15\\[/tex]

[tex]0.15 = 15%[/tex]

Answer:

if it's given 60,

so 1%=6

so 15/10=9

so answer is 1.5

5 cm
What is the surface area of the cube?
A. 25 cm?
B. 70 cm
C.125 cm?
D. 150 cm?
E. 200 cm

Answers

Answer:

Step-by-step explanation:

Answer:

D. 150 cm²

[tex]area = 5 \times 5 \\ = 25 \: {cm}^{2} [/tex]

= 25 × 6 sides

= 150 cm²

The plot below shows the amount of liquid remaining in 555 basketball players' water bottles after practice. All measurements are rounded to the nearest \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction pint.

Answers

Answer:

3 times

Step-by-step explanation:

From the dot plot given ; distance between each tick mark is 1/4

Bottle with least water = 1/4

Bottle with most water = 3/4

Number of times bottle with most is more Than bottle with least :

All we need to do is divide the greatest by the least :

That is :

3/4 ÷ 1/4

3/4 * 4/1 = 12 / 4 = 3

3 times

Answer: 3 times

Step-by-step explanation:

(44=6x-1+9x,-5)

I don’t know how to answer this I just know it’s ( , -5)

Answers

Answer:

Step-by-step explanation:

(44=6x-1+9x.-5)

We move all terms to the left:

(44-(6x-1+9x.-5))=0

We add all the numbers together, and all the variables

(44-(6x+9x.-6))=0

We calculate terms in parentheses: +(44-(6x+9x.-6)), so:

44-(6x+9x.-6)

determiningTheFunctionDomain

-(6x+9x.-6)+44

We get rid of parentheses

-6x-9x.+6+44

We add all the numbers together, and all the variables

-6x-9x.+50

Back to the equation:

+(-6x-9x.+50)

We get rid of parentheses

-6x-9x.+50=0

We move all terms containing x to the left, all other terms to the right

-6x-9x.=-50

5) The distance from home plate to dead center field in Sun Devil Stadium is 409 feet. A baseball
diamond is a square with a distance from home plate to first base of 90 feet. How far is it from first
base to dead center field?
A) 386.5 feet
B) 476.9 feet
C) 351.2 feet
D) 334.1 feet

Answers

the answer is C ; 351.2 feet!

Increase £140 by 5%.
Thank you so much

Answers

Answer:

£140 increased by 5% is £147.00

Answer:

it should be 147.00 , I'm so sorry if I'm wrong!

Create a step function for the following graph, be sure to watch holes in the graph. NEED HELP ASAP!

Answers

Answer:

See below

Step-by-step explanation:

This is a piece-wise function.

         4, -4≤ x ≤ -2

f(x) =  2,  -2 ≤ x < 2

        -3,  2 ≤ x ≤ 4

Which expression is equal to

Answers

Answer:

4^5/ 4^-9

Step-by-step explanation:

the third one

C?? I don’t know lol

describe the image of a shape after a dilation of a scale factor of 1/4

Answers

Answer:

the picture go to be 1/4 more smaler

Step-by-step explanation:

The cost of buying salad from a salad bar is at least $4.50 per pound. Which inequality represents the price per pound of salad?
x ≥ 4.50
x = 4.50
x < 4.50
x > 4.50

Answers

the cost of buying salad per pound) is more than or equal to $4.50
Step-by-step explanation:
We know from the problem that the salad is going to cost at least $4.50 per pound. Therefore, it is entirely possible for the cost to exceed $4.50, but it cannot be lower than $4.50 because then it would not be equal to $4.50.
So, there would be a greater-than sign pointing toward the s (which I seemingly cannot depict on here for some reason...)

Answer:  x ≥ 4.50

Because the cost is at least $4.50 per pound

find the value of x........................

Answers

Answers: x = 4 and y = 3

============================================================

Explanation:

Triangle UBD is congruent to triangle RAN

Note the order of the lettering as it's important.

BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,

BD = AN

2y+5 = 3y+2

5-2 = 3y-2y

3 = 1y

y = 3

-----------

Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,

UD = RN

15 = 2x+7

2x+7 = 15

2x = 15-7

2x = 8

x = 8/2

x = 4

A rolled up sleeping bag and shaped like a cylinder with a radius of 5" and a volume of 1727.9 cubic inches. What is the height of the road up sleeping bag?

Answers

Answer:

I think the height is 22.

What value of x makes AD|| EH

Answers

Answer:

x = 3

Step-by-step explanation:

92 - 8x = 68

-8x = -24

x = 3

The two angles mentioned in the problem, if AD || EH, are congruent because they are corresponding angles.

Find the value of X. If necessary write in radical form

Answers

Answer:

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\6^{2} +7^{2} =x^{2} \\\sqrt{85} = x[/tex]

Answer:

sqrt(85) =x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + 7^2 = x^2

36+49 = x^2

85 = x^2

Take the square root of each side

sqrt(85) = sqrt(x^2)

sqrt(85) =x

Which statements about the system are true? Select two options.
y=x-4
3y - x= -7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

system has 1 solution at (2.5, -1.5)

Step-by-step explanation:

y = x - 4     this equation has a slope of 1 and a y-intercept of -4

3y - x = -7   this equation has a slope of 1/3 and a y-intercept of -7/3

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