What are the roots of the quadratic equation 0 = 2x² + 12x-14?
1,6, -7
2,12,-14
-7,1
-1,7

Answers

Answer 1

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

What is a quadratic equation?

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7


Related Questions

A school is arranging a field trip to the zoo. The school spends 651.21 dollars on passes for 46 students and 3 teachers. The school also spends 396.98 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?

Answers

$22.78 or $21.39 because if you add up all the money and divide by 46 students you get $22.78. If you add them all up and divide by 49 you get $21.39 per person including teachers

What is the radical form of each of the given expressions?

Drag the answer into the box to correctly match each expression.

Answers

Answer:

The answer is displayed in the attached image.

Step-by-step explanation:

To find the radical form of an expression, first determine what is in the denominator of the fractional exponent. That number will determine the order of the root you will take. The numerator will be the power of your original number

EXAMPLE:

[tex]5^{\frac{3}{4} }[/tex] = [tex]\sqrt[4]{5^3}[/tex]

jake brought a bike that cost 65 when it was new if he eventually sold it for 20% of the original cost how much he sold it for

Answers

Answer:

$13

Step-by-step explanation:

$65 x 0.20 = 13

Answer: 20% off 65 is $52.00 so it was $13 saved

In a scene from a television show, a van rolls down an incline and off a vertical cliff, falling into a valley below. The van starts from rest and rolls down the incline, which makes an angle of 18.0° below the horizontal, with a constant acceleration of 2.90 m/s2. After rolling down the incline a distance of 40.0 m, it reaches the edge of the cliff, which is 45.0 m above ground level.
(a) How much time (in s) does it take the van to fall from the edge of the cliff to the landing point?
(b)
At the point where the van crashes into the ground, how far is it horizontally from the edge of the cliff (in m)?

Answers

Answer:

its A

Step-by-step explanation:

A

Answer:50

Step-by-step explanation:i said so

Devon and Albert are shelving books at a public library. Devon shelves 6 books at a time, whereas Albert shelves 9 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved?

Answers

Answer:
18

Explanation:
Find the LCM of 6 and 9, you get 18

Given the Quadratic equation y = 2x²- 9x - 13, what is the y intercept?
(0,0)
(0,-13)
(0,2)
(0,-9)
Help please

Answers

Answer: (0,-13)

Step-by-step explanation:

The y intercept is x=0

Hence,

y=2(0²)-9*(0)-13

y=2(0)-0-13

y=0-13

y=-13

Thus, (0,-13)

is it true that the discriminant of f(x)=2x^2-10x+8 equals -36? (algebra 2)

Answers

The discriminant of the equation f(x) = 2x^2-10x+8 [tex]\neq[/tex] 36

To find out the discriminant of f(x)=2x^2-10x+8

The formula for the discriminant is represented by b²-4ac.

This equation is in general form, which is ax² + bx + c = 0.

So, lets assume the values to be

a = 2

b = -10

c = 8

The discriminate that we need to find out in the equation below is

D = b²-4ac

[tex]D = -10^{2} - 4(2)(8)[/tex]

D = -100 - 64

D = -164 which is not a nice number

As the discriminant had a negative value of -164.

This means there are no real solutions to the equation, because the discriminant is negative.

Hence the discriminant of the equation f(x) = 2x^2-10x+8 [tex]\neq[/tex] 36

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Sarah can text 91 words in 14 minutes. At
this rate, how many minutes would it take
her to text 65 words?

Answers

If Sarah can text 91 words in 14 minutes, then at this rate she will type 65 words in 10 minutes

Number of minutes to types 91  words = 14 minutes

Here we have to use the unitary method to solve the problem

Time taken to type 1 word = Number of minutes to types 91  words / 91

Substitute the values in the equation

= 14  / 91

= 2 / 13

Time taken to type 65 words =  Time taken to type 1 word × 65

Substitute the values in the equation

= (2/13) × 65

= 10 minutes

Hence, if Sarah can text 91 words in 14 minutes, then at this rate she will type 65 words in 10 minutes

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what is - 8/15 - 3 4/5

Answers

-4 1/3

I hope this helps

When subtracting or adding fractions make sure that the denomators are the same.

The answer is 8/57
Too long to explain so just put it in a calculator that accepts fractions

K
Find the production matrix for the following input-output and demand matrices
using the open model.
A =
0.3 0.2
0.35 0.4
3
-[³]
6
D=
The production matrix is
(Round the final answer to the nearest hundredth as needed. Round all
intermediate values to four decimal places as needed.)

Answers

[tex]\displaystyle\\Answer:\ \left [ {{\boxed{2.1}} \atop {\boxed{3.45}}} \right][/tex]

Step-by-step explanation:

[tex]\displaystyle\\A=\left [ {0.3\ \ \ \ 0.2} \atop {0.35\ \ \ 0.4}} \right]\ \ \ \ \ D=\left [ {{3} \atop {6}} \right]\\\\A*D=\left [ {{c_{11}} \atop {c_{21}}} \right] \\\\c_{11}=a_{11}*b_{11}+a_{12}*b_{21}\\\\c_{11}=0.3*3+0.2*6\\\\c_{11}=0.9+1.2\\\\c_{11}=2.1\\\\c_{21}=a_{21}*b_{11}+a_{22}*b_{21}\\\\c_{21}=0,35*3+0,4*6\\\\c_{21}=1.05+2.4\\\\c_{21}=3.45\\\\Thus,\ A*D=\left [ {{2.1} \atop {3.45}} \right][/tex]

Tarak wants to find the value of a so that the line that passes through (10, a) and (-2, -8) has a slope of value of 1/4.

Explain how Tarak can find the a.​

Answers

[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{a})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{a}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{10}}} ~~ = ~~\stackrel{\textit{\LARGE m}}{\cfrac{1}{4}} \\\\\\ \cfrac{8-a}{-12}=\cfrac{1}{4}\implies 32-4a=-12\implies 44-4a=0 \\\\\\ 44=4a\implies \cfrac{44}{4}=a\implies \boxed{11=a}[/tex]

I need help asap. Given the equation 14.25y = 99.75, determine the value of y.

114.00
85.50
7.00
1421.44

Answers

The answer is 7.00. Divide 14.25 on both sides.
14.25y/14.25= y
99.75/14.25= 7, Therefore y=7.

Answer: Answer is 7.00

Step-by-step explanation: i did this i got right answer...  please likes, 5 star     have great day :)

HELP ASPPP PLEASE SHOW UR WORKKKK

Answers

Step-by-step explanation:

when we have an equation

y = ax + b

then "a" is the slope.

in our equation we see

1/2(6x ...) = 6/2 x ... = 3x ...

so, the slope is 3.

I hope this helped!!

Factorize 6pq-3rs-3ps+6qr
with solutions ​

Answers

3 (2q - s)(p + r) is the factor form of expression 6pq-3rs-3ps+6qr.

What is Factor?

A factor is a number that divides another number, leaving no remainder

The given expression is 6pq-3rs-3ps+6qr

We need to factorize the expression.

6pq-3rs-3ps+6qr

= 3 (2pq - rs - ps + 2qr)

= 3 (2pq + 2qr -ps - rs)

= 3 (2q(p + r) -s(p + r))

= 3 (2q - s)(p + r)

Hence, 3 (2q - s)(p + r) is the factor form of expression 6pq-3rs-3ps+6qr.

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Which of the expressions below has a 7 in the
tenths place of the sum? Select all that apply.
A) 12.35 + 19.38
B) 9.89 + 4.9
C) 8.135 + 2. 644
D) 3.445 +2.382
Pls tell me!

Answers

The tenths place would be the digit right after the decimal point.

A) 31.73
B) 14.79
C) 10.779
D) 5.827

The sums that have 7 in the tenths place are A, B and C

5. What is the independent variable in the following function?
f(c) = 2c + 9
09
Of
0:

Answers

Answer:

C

Step-by-step explanation:

C is the input.  The input is the independent variable.  The output would be the dependent variable.

Find the total surface area of this prism where
the cross-section is an isosceles triangle.
Marks
5 cm
13 cm
24 cm
10 cm

Answers

The total surface area of this prism is: 620 cm².

How to find the total surface area?

First step it to find the Area of isosceles triangles:

Area of isosceles triangles = [(24 × 5) ÷ 2]

Area of isosceles triangles (120 ÷ 2)

Area of isosceles triangles = 60 cm²

Second step is to find the area of 2 triangles

Area of 2 triangles = 60 cm² × 2

Area of 2 triangles = 120 cm²

Third step is to find the Area of 2 identical rectangles

Area of 2 identical rectangles= (10 × 13 ) × 2

Area of 2 identical rectangles=  260 cm²

Fourth step is to find the  bottom area of rectangle

Area of rectangle  = 24 × 10

Area of rectangle = 240²

Now let find the total surface area

Total surface area =120 + 260 + 240

Total surface area = 620 cm²

Therefore the surface area is 620 cm².

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someone please help asap! 50 points + brainliest. this is the only question im stuck on
(about galaxies)

Match the galaxy type to its correct description.

column A
1. ___ elliptical
2. ___ spiral
3. ___ irregular

column B
a. defined central bulge; dusty cloud around the bulge.
b. no defined shape, the central bulge, or arms.
c. defined central bulge; dusty arms extending from the bulge.

Answers

Answer:1=a, 2=b, 3=c

Step-by-step explanation:

just smart like that

Please help
me answer both of them ASAP!! and submit it like this. Example: 1=b and 2=d

Answers

8. -a+b-7

9. m=(y-b)/x

Answer:

first one: C

second one: A

Step-by-step explanation:

4a - 5 + 3b - 2 - 2b - 5a

combine a terms:

-a - 5 + 3b - 2 - 2b

combine b terms:

-a - 5 + b - 2

combine numbers:

-a  + b - 7 (this is option c)

_____________________

y = mx + b, solve for m

subtract b from both sides:

y - b = mx + b - b

y - b = mx

divide both sides by x:

(y - b)/x = mx/x

m = (y - b)/x (this is option a)

Cost of 14 apples is Rs. 120, find the cost of 20 apples

Answers

Answer:

Rs 171.40

Step-by-step explanation:

For 1 apple we have to divide 120 by 14 which is 8.57 to 2d.p.

So 20 * 8.57 = 171.4

to 2d.p. = Rs 171.40

Pls could you give me brainliest

pls:(

The math dept is buying pizza for the students from either Papa Johns or
Cicis. The equation for Papa Johns can be represented as C=12p+15 which
includes a one time delivery charge. The equation for Cicis can be presented
as C=10p+12 which includes a one time delivery charge.
How much more does Papa Johns charge PER PIZZA than Cicis?

Answers

answer

Papa Johns charges 2 more per pizza plus 3 more for the delivery charge so 5 total

46+(-4) pLeAsE SoLVe

Answers

Answer:

42

Step-by-step explanation:

Answer:

+ - = -

Step-by-step explanation:

46 - 4 = 42

hope this helps


ƒ (x) = 4x + 5, what is the value of f (−3) and ƒ (3)?

Answers

Answer:

f(-3) = -7f(3) = 17

Step-by-step explanation:

Given functions,

→ f(x) = 4x + 5

Now the value of f(-3) will be,

→ f(x) = 4x + 5

→ f(-3) = 4(-3) + 5

→ f(-3) = -12 + 5

→ [ f(-3) = -7 ]

Then the value of f(3) will be,

→ f(x) = 4x + 5

→ f(3) = 4(3) + 5

→ f(3) = 12 + 5

→ [ f(3) = 17 ]

Hence, the answer of f(3) is 17.

Substitute [tex]x=-3[/tex] into [tex]f(x)=4x+5[/tex] :

[tex]f(-3)=4(-3)+5[/tex]

          [tex]=-12+5[/tex]

          [tex]=-7[/tex]

Substitute [tex]x=3[/tex] into[tex]f(x)=4x+5[/tex] :

[tex]f(3)=4(3)+5[/tex]

       [tex]=12+5[/tex]

       [tex]=17[/tex]

[tex]\text{Hence, } f(-3)=-7 \text{ and } f(x)=17.[/tex]

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Help please. 20 pts WILL MARK BRAINLIEST

Answers

Answer:

Subtract 6 from both sides

Water Glasses on a shelf are broken and must be replaced.
The replacement cost can be cut in half if you can figure out how many glasses were broken.
Here are your clues:
There were more than 24 glasses, but less than 100 glasses.
If the glasses were in rows of 6, there would be 3 left over.
If the glasses were in rows of 8, there would be 7 left over.

Answers

The total number of water glasses on the shelf may be 39, 63 or 87.

Given, that there were more than 24 glasses, but less than 100 glasses.

If the glasses were in rows of 6, there would be 3 left over.

If the glasses were in rows of 8, there would be 7 left over.

Let the number of glasses be x,

So, x = 6k1 + 3

=> (x - 3) is a multiple of 6

x = 8k2 + 7

=> (x - 7) is a multiple of 8

Now, the numbers that can satisfy the given conditions are,

39 , 63 & 87.

So, the total number of glasses may be 39, 63 or 87.

Hence, the total number of water glasses on the shelf may be 39, 63 or 87.

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What is (5,-3) & (4,0) in slope intercept form?

Answers

The slope-intercept form of (5,-3) and (4,0) is y = -3x + 12.

The slope intercept form is simply writing an equation of a line so that the slope or steepness and y-intercept i.e. where the line crosses the vertical y-axis are immediately apparent.

The slope-intercept equation is y = mx + c, where x and y are two variables, and m is slope.

Slope m = [tex]\frac{y2-y1}{x2-x1}[/tex]

Let,

(x1, y1) = (5, -3)

(x2, y2) = (4, 0)

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

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

                = -3

By substituting x, y, and m values in the equation we can get the value of c.

Consider x = 4 , y = 0, m = -3

y = mx + c => 0 = (-3)4 + c

                      c = 12

Therefore, the slope-intercept form of (5,-3) and (4,0) is y = -3x + 12.

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State the coordinates of the point.

Answers

(-7,0)
The x value is negative 7 and the y value is 0

Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)?

O Focus (2, -0.5); directrix x = 0
O Focus (2,-0.5); directrix y = -1.5
O Focus (0, -0.5); directrix y = -1.5
O Focus (0, -0.5); directrix x = 0

Answers

The first option Focus(2,-0.5); directrix x=0 of the parabola is the correct answer.

What is a parabola?

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

The general equation of a parabola is as follows:

[tex](y-k)^2=4a(x-h)[/tex]

Now, consider the given equation.

[tex](y+0.5)^2=4(x-1)[/tex]

Now, compare with the standered equation.

a=1, k=-0.5 and h=1

Here, a is positive hence, the parbola opens right side.

Focus is given by the following coordinate:

[tex](h+a,k)=(1+1,-0.5)\\=(2,-0.5)[/tex]

Now, equation of diretrix is given by the following expression:

[tex]x=h-a\\x=1-1\\x=0[/tex]

Hence, the first option Focus(2,-0.5); directrix x=0 is the correct answer.

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Runners at a cross-country meet run 2 miles south and then 4 miles west from the starting line. Determine the shortest straight path they must run to get back to the
tarting line.
06 miles
√6 miles
O√12 miles
√20 miles

Answers

hello hope you are having a good day

the answer to your question would be A 6 miles i took the test and got an 100% also asked the teacher.

The triangle below will be reflected across the line x = 5, then translated to
the left 12 units to form an image. A reflection over which line would result
in the same image?

Answers

Reflecting over the y-axis and then translating to the right 10 units

Step-by-step explanation:

Reflection over the line x=5 gives you the transformation ...

 (x, y) ⇒ (2·5 -x, y) = (-x +10, y)

This is precisely the same transformation you get by reflection over the y-axis:

 (x, y) ⇒ (-x, y)

followed by translation to the right 10 units:

 (-x, y) ⇒ (-x +10, y)

__

Reflection over x=5 is the same as reflection over y and translation right 10.

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