How many solutions are there for the quadratic equation?
Y=x^2+12x+36

Show work

Answers

Answer 1

Answer:

1 solution

x = -6

Explanation:

[tex]\rightarrow \sf y=x^2+12x+36[/tex]

[tex]\rightarrow \sf x^2+12x+36=0[/tex]

[tex]\rightarrow \sf x^2+6x+6x+36=0[/tex]

[tex]\rightarrow \sf x(x+6)+6(x+6)=0[/tex]

[tex]\rightarrow \sf (x+6)(x+6)=0[/tex]

[tex]\rightarrow \sf x=-6[/tex]

Hence there is only one solution for this quadratic equation and the value is -6

Answer 2

[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]

[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]

Only one solution present

x=-6


Related Questions

hurry please im running out of time
ill give brainliest

Answers

Answer:

Step-by-step explanation:

16 ticks, the pointer is on 12. there fore it is the second answer.

2 3/4 lb

solve pls brainliest

Answers

Answer:

No, No, Yes, Yes, Yes.

Step-by-step explanation:

A integer is a whole number. 1, 2, 3, etc.

Answer:

Only -46 is an integer number and others are not.

Step-by-step explanation:

An integer is a whole number but not a fractional number that can be positive, negative, or zero.

In this chart -46 is an integer cause it is a whole number and -1/2, 57.68, 24/6, 9/3 are not integers cause they are a fraction.

will give brainliest, pls help ASAP!​

Answers

Step-by-step explanation:

2 × 10⁸ - 7 × 10⁷

= 200,000,000 - 70,000,000

=130,000,000

= 1.3 × 10⁸

Answer:

130 million

Step-by-step explanation:

200 million in N

70 million in F

200-70 = 130 million

Hope this helps have a great day

find the value of x in the triangle shown below

Answers

Answer:

D

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of thesquares on the other two sides, that is

x² + 8² = 9²

x² + 64 = 81 ( subtract 64 from both sides )

x² = 17 ( take square root of both sides )

x = [tex]\sqrt{17}[/tex]

Answer:

√17 (Option D)

Step-by-step explanation:

This is Right Angled Triangle.

We'll solve this using the Pythagorean Theorem.

Let,

x be BC, where BC is the Perpendicular.

8 be AB, where AB is the Base.

9 be AC, where AC is the Hypotenuse.

We know that,

[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf \qquad \: (8) {}^{2} +( x) {}^{2} = (9) {}^{2} } [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = (9) {}^{2} - (8) {}^{2}} [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 81 - 64} [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 17} [/tex]

[tex]{ \longrightarrow \it \qquad \pmb {x = \sqrt{17 \: \: } } }[/tex]

Therefore,

The value of x is √17 .

Solve for x.
8.7 + X = 7
=
1.1
x = [?]

Answers

Answer:

-1.7

Step-by-step explanation:

8.7 + X =7

incorporate the shoes and socks method. We must do the opposite of what is being done. If we are adding X, we will subtract X on both sides leaving you with 8.7=7-x. We want X on one side of the equation so now we take the 8.7 and subtract on both sides giving 7-x-8.7. we must add X on both sides so we can have a X on one side thus X= 7-8.7. we can ordinary subtract and will give us -1.7.

X=-1.7

8.7+(-1.7) =7

4) What % of 60 is 12?

Answers

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}[/tex]

12×60%=

[tex] \bf \textcolor{green}{ \underbrace{7.2}}[/tex]

xLasersx✨

Answer:

20%

Step-by-step explanation:

100% = 60

?% = 12

[tex]\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer[/tex]

Therefore, 20% of 60 = 12

Check your answer:

20/100 = 0.2

0.2 * 60 = 12

Hope this helps!

pleaseeee check picture its about finding area of triangle.

Answers

Answer:

13.75 is your answer

Step-by-step explanation:

find area of whole triangle 5.5*7*1/2=19.25

Find area of blank spot 5.5*2*1/2=5.5

Subtract 19.25-5.5=13.75

Jake is saving for a new tablet. It costs $250, and he has $100. He earns $5 per week for doing chores. Jake wants to figure out how many weeks it will take for him to have at least enough money to buy a new tablet. Write an inequality and solve it to determine the number of weeks it will take.

Answers

Answer: 250 ≤ 100+5x

150≤5x divide by 5

30≤x

It will take 30 weeks to earn enough.

Step-by-step explanation:

3x + y = 4 6x + 4y = 6 equivalent equation and solution

Answers

Answer:

x = 5/3 , y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}3x+y=4\\ 6x+4y=6\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=\frac{4-y}{3}[/tex]

[tex]\begin{bmatrix}6\cdot \frac{4-y}{3}+4y=6\end{bmatrix}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\begin{bmatrix}2y+8=6\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=\frac{4-y}{3}[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=\frac{4-\left(-1\right)}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=\frac{5}{3}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=\frac{5}{3},\:y=-1[/tex]

3(5/3) + -1

5-1 = 4

True

6(5/3) + 4(-1)

10 -4 = 6

True

~lenvy~

GIVING BRAINLIEST+30 POINTS TO BEST ANSWER!! REMEMBER, FOLLOW DIRECTIONS!!

Answers

Answer:

Step-by-step explanation:

First, you would multiply 3x4 =12

next you would keep the denominator the same

last you would divide 8 by 12 10 get 1 3/8 for your answer

Can someone help me out with this?

What is the value of x?



Enter your answer in the box.

Answers

Answer:

x = 4

Step-by-step explanation:

x has the same value as RT since they are equal sides of the isosceles triangle.

RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.

Acoording to the property of such triangles, the ratio of sides is:

a : b : c = 1 : √3 : 2

We have:

b = 2√3 and c = RT

Use the ratio to find the lenght of RT

2√3 : RT = √3 : 2RT = 2*2√3/√3RT = 4

So the value of x is 4 units

Find RT

sin60=2√3/RT√3/2=2√3/RTRT=4√3/√3RT=4

Now

tan45=x/4x=4

Solve the following equation for x 13x2 - 5 =0

Answers

Step-by-step explanation:

if its x13^2-5=0 then 5/169

but if its x13*2-5=0 then 1.07

A cylindrical-shaped container is 8 in. tall with a diameter of 6 in. How much water could this container hold?

A 24pie cubic inches

B 72pie cubic inches

C 216pie cubic inches

D 288pie cubic inches

Answers

Answer:

72pi cubic inches.

Step-by-step explanation:

area = pi r²

r = d / 2

r = 3

3² = 9

9pi x 8 = 72pi.

The answer is B: 72pie cubic inches

QUESTION 1 1.1 Consider the quadratic sequence : 8; 18; 30; 44 ... 1.1.1 Write down the next two terms of the sequence. 1.1.2 Calculate the nih term of the sequence. 1.1.3 Which term of the sequence is equal to 330?

Answers

Answer:

Below in bold.

Step-by-step explanation:

8 18 30 44

the differences are 10 12 14 .etc

1.1.1  Next 2 terms are  44+ 16 = 60 and 60+ 18= 78.

1.1.2  8 =  1^2 + 7

       18 = 2^2 + 14

       30 = 3^2 + 21

       44 = 4^2 + 38

So the nth term = n^2 + 7n.

1.1.3 n^2 + 7n = 330

n^2 + 7n - 330 = 0

(n +  22)(n - 15) = 0

n =  -22, 15

As  the term sequence must be positive the answer is 15.

What is the measure of angle ADC in circle F?

Answers

Answer:

90°

Step-by-step explanation:

Triangle ACD has one vertex on the circle, and the other two at the opposite ends of a diameter. It is then a right triangle.

One way of thinking of it is the fact that angle AFC measures 180°, and all angles that have end points on the same arc (in our case, the part of arc AC on the bottom right part of the circle)and vertexes on the circle measure half of it, or 90°

Answer:

90

Step-by-step explanation:

since AC is a diameter and hypothenus of ADC

so triangle ADC is a right triangle

so angle ADC = 90°

∠C and ∠D are complementary.

Let m∠C=(5x)° and m∠D=(7x−6)°.

What is the value of x?

Enter your answer in the box. 10 points!!

Answers

Answer:

x = 8

Step-by-step explanation:

The sum of the measures of two complementary angles is 90°.

m<C + m<D = 90°

5x + 7x - 6 = 90

12x = 96

x = 8

Question 4: there are 7 frosted donuts and 43 not frosted. what is the
ratio of frosted to total donuts?
a) 7 to 43
b) 50 to 7
c) 43 to 7
d) 7 to 50

Answers

Answer:

answer is a

Step-by-step explanation:

ur welcome

Let f(x)=4x^2-3 and g(x)=-x^2+2.Find f+g and state the domain. Then evaluate the sum when x=2

Answers

Answer:

f+g = 3x^2-1. domain = all real numbers. then plug in two wherever there is an x.

f(x)=4*2^2-3, which equals 13

g(x)= -2^2+2, which equals -2

add

f+g when x=2 is 11

Step-by-step explanation:

136<5(-2-4b)-6
-5(1-3x)-3>112
-4(3n+2)-6>-86
-120<4(6+3p)+6p
116<-3(1-5n)+2n

Answers

Answer:

x<

−97

45

Answer:

b<

−38

5

n>

−22

3

p>

16

3

n>7

What is the volume of the rectangular prism?

Answers

Answer:

63 yd³

Step-by-step explanation:

1 cube = ⅓ of a yard

B = 7 cubes

H = 9 cubes

D = 3 Cubes

Volume = BHD

Volume = 3 x 9 x 7

9 x 7 = 63

63 x 3 = 189

189 x ⅓ = 63.

10. To calculate the area of a rectangle, you multiply the length by the width. If the
length of a rectangle is (2x + 1) and the width is (x - 1), what is the area of the
) -
rectangle?
A. 3x
B. 3x2 - 1
C. 2x2 - x - 1
D. X - 1

Answers

Answer:

Multiply those side lengths using the F.O.I.L method (first-outer-inner-last). Write it longhand then simplify if that’s what is needed.

(x+5)(x-5) = x^2 -5x + 5x -25

the -5x and + 5x cancel each other so it simplifies to x^2 - 25 units squared.

PLEASE HELP AS I SAID I HAVE A F IN MATH AND I HAVE LIKE 6 OTHER SI TO DO PLEASE ANSWER ALL OF THEM

The prism below is made of cubes which measure of a foot on one side. What is the volume?


Note: Figure is not drawn to scale.
A.


B.


C.


D.

Answers

Answer:  32

Step-by-step explanation:   count one row and then multiply that by 4 And then it equals 32

A and B are two companies.
The table shows some information about the sales of each company and the number of workers for each
company in 2004 and in 2014
Work out the percentage increase in sales from 2004 to 2014 for company A

Answers

Answer:

Step-by-step explanation:

Real Numbers: Mastery Test

Answers

Answer:

exuse me but i dont see the questions

Step-by-step explanation:

i really need
help on this work it is really difficult help plsss

Answers

Answer: 105 square feet

Step-by-step explanation: The answer is 105 square feet because find the area of the pool by multiplying 12 and 20 to get 240. You then want to find the area of the total space. Add 3 to 12 and add 3 to 20. Then multiply 23 by 15 to get 345. You then want to subtract 345 - 240 to get rid of the extra space to get your answer of 105.

their sum is -11 and difference is 41

Answers

Answer:

15 and -26.

Step-by-step explanation:

Answer:

15 and -26

Step-by-step explanation:

just bc

2. the lengths of 10 pencils, in centimeters: 18, 15, 4, 9, 14, 17, 16, 6, 8, 10 median: lower quartile: upper quartile:​

Answers

Answer:

Lower Quartile: 7

Median: 12

Upper Quartile: 16.5

Step-by-step explanation:

First, to find anything you must reorganize the numbers according from smallest to biggest. In this case, it would be:

4, 6, 8, 9, 10, 14, 15, 16, 17, 18

Let's find the median first. The median is in the middle of the data set, and there are 10 numbers in this data set. We need to find the middle of two numbers to find the median, 10 and 14, which would be 12.

To find the lower quartile, you must look at the numbers below the median. Those would include 4, 6, 8, and 9. There is a even number of digits, meaning that we might find the middle of two numbers, 6 and 8, which is 7.

Then, the Upper Quartile which is the same process. Look at 15, 16, 17, and 18. It is a even number of digits so we need to find the middle of 16 and 17, which would equal 16.5.

Hope this helped!

Gabby is working on reducing traffic in her town. Last week, she tracked how many cars
drove down Main Street each hour. This box plot shows the results.
Cars per hour
20
60
100
140
180
120
1) What percent of the time did Main Street have 100 or more cars per hour?

Answers

The box plot represents the rate of cars in the Main Street per hour

25 percent of the time, the Main Street have 100 or more cars per hour

How to determine the proportion of the boxplot?

From the box plot, we have the following parameter:

The upper quartile of the boxplot is 100

This means that:

Q3 = 100

The upper quartile is the 75% dataset

The actual percentage is then calculated as:

Actual = 100% - 75%

This gives

Actual  = 25%

Hence, 25 percent of the time, the Main Street have 100 or more cars per hour

Read more about boxplots at:

https://brainly.com/question/14277132

please help i am confused.

Answers

Answer:

87.5 percent

Step-by-step explanation:

80 passed the first, 70 passed the second. 7/8 passed both. 7/8 as a percentage is 87.5.

Answer:

C. 87.5%

Step-by-step explanation:

[tex]P(A|B)[/tex]

this is what you are trying to find.

P(A | B) can be found by dividing the percentage who passed both, by the percentage who passed the first.

70/80 = 0.875

multiply by 100 to get percentage instead of decimal

87.5

Two angels are called complementary when their measures add to 90. Two angels are called supplementary when their measures add up to 180 degrees

Answers

Answer:

Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.Jun 5, 2017

Step-by-step explanation:

Luna~

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