Solve the equation x2 + + 7x= 30
O A. x= 15 and x= -2
0 B x=-6 and x = 5
0 C x= -10 and x= 3
O D. x= 10 and x= -3

Answers

Answer 1

Answer:

x^2+7x=30

x^2+7x-30=0

Here a=1,b=7 and c=-30

Now,

Discriminant(D)=b^2-4ac

=7^2-4×1×(-30)

=49+120=169

By applying Quadratic formula

x=-b+- root over b^2-4ac÷2a

=-7+- root over D ÷ 2×1

=-7 +- root over 169 ÷2

=-7 +- 13 ÷2

Now,

Either x=-7+13÷2=6÷2=3

Or x=-7 -13 ÷2=-20÷2=-10

Hence, ans is (C) x=-10 and x=3


Related Questions

f(x)= 2x+6
g(x)= -3x+2
Find f(x)-g(x)

Answers

hopefully this helps

Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10.
Rectangle C has length 30 and width 15.
1. Is Rectangle A a scaled copy of Rectangle B? If so, what is the scale factor?
2. Is Rectangle B a scaled copy of Rectangle A? If so, what is the scale factor?
3. Explain how you know that Rectangle C is not a scaled copy of Rectangle B.
4. Is Rectangle A a scaled copy of Rectangle C? If so, what is the scale factor?

Answers

Answer:

1. yes , 1:1.25

2. no

3. Because the ratio between the width of rectangle a along rectangle a is 3: 2 and also in rectangle b the ratio between the width of rectangle along rectangle is 3: 2 but the ratio between width of rectangle c along rectangle c is 2: 1

#1 The first term of the sequence is 8 and the common difference is 12.
First Five Terms are:
The Sequence is (highlight one): Arithmetic or Geometric​

Answers

Answer:

Arithmetic

Step-by-step explanation:

Since the common difference remains the same between terms, its arithmetic!

The first five terms of the given AP is 8, 20, 32, 44 ,56.

What is a sequence ?

A sequence is a list of numbers written in form of a constant difference or ratio.

According to the given question the given question the first term (a₁) of the AP is 8 and the common difference (d) is 12.

This is an AP because given in the question it self of common difference.

We know than n term of an AP is aₙ = a₁ + (n-1)d.

Given,

a₁ = 8.

a₂ = 8 + (2-1)12

a₂ = 8 + 12

a₂ = 20.

Similarly.

a₃ = 32.

a₄ = 44.

a₅ = 56.

learn more about AP here :

https://brainly.com/question/16947807

#SPJ2

In the figure, m∠4=(10x+5)° and m∠5=(20x−15)° .

For what value of x is m∥n ?

Enter your answer in the box.
x =

Answers

Answer:

2

Step-by-step explanation:

plug in the answer

The value of x from the given angles is 6.3.

Given that, m∠4=(10x+5)° and m∠5=(20x−15)°.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

From the figure given below,

m∠4+m∠5 = 180° (Adjacent angles adds upto 180 degree)

⇒ (10x+5)°+(20x−15)° = 180°

⇒ 10x+20x+5-15 = 180°

⇒ 30x-10 = 180°

⇒ 30x=190

⇒ x=190/30

⇒ x=6.3

Therefore, the value of x from the given angles is 6.3.

To learn more about the adjacent angles visit:

https://brainly.com/question/12838185.

#SPJ5

select 3 ratios that are equivalent to 8:20​

Answers

Answer:

4:10, 2:5 16:40

Step-by-step explanation:

just multiply or divide

PLEASE EXPLAIN HOW TO DO THIS PROBLEM

Answers

Answer:

y=1/3x + 2

Step-by-step explanation:

the y intercept is 2, and the second point goes up 1 over 3

rise over run

slope intercept form formula: y=mx+b
the m is your slope
the b is your y intercept (where your line passes through the y axis)
so you’re gonna use rise over run. you are gonna count from (0,2) to (3,3)
following the grid you’ll go up one from (0,2) and go over two to get to (3,3)
so that number would be 1 over 2 because u went up one and over two.
so your slope is 1 over 2
next you’ll find your y intercept
so you’ll find where the line passes through in the y axis and your done!
so your final equation is y=1/2x+2

4 is 1/4 of what number?​

Answers

Answer:

16

Step-by-step explanation:

4 1/4

8 1/4

12 1/4

16 1/4

Let the number be x
4 = 1/4x
4 x 4 = x
x = 16

4 to the power of 2 multiplied by 2 to tthe power of 4 =

Answers

Answer:

256

Step-by-step explanation:

brainlist?

Please help? It’s a basic time question and I don’t get it. Either I’m really dumb or it’s to complicated

Answers

Answer: D 1 hour 56 minutes

Answer:

D. 1 hour 56 minutes

Step-by-step explanation:

Well, if you add 2 hours to 12:14, it would be 2:14, so you know it's less than 2 hours. B and D are the only choices that have 1 hour. So, if Aaron left at 2:10, you have to subtract 4 minutes from 2 hours. That would be 1 hour and 56 minutes Aaron spent at the mall.

I hope you understood!! (It's ok if you didn't get it...some things can seem complicated at first!) Have an amazing day C:

triangle D E F with what scale factor?

Answers

to find the scale factor you divide the image by the pre image

example- a rectangle that is 3 by 7 inches is enlarged to 42 inches what is the scale factor

3•7=21 (pre image)
42 (image)

42/21= 2

k=2

3.6 + 8.3 find the sum plz need help​

Answers

Answer:

11.9

Step-by-step explanation:

just add the two numbers :)

Answer:

the answer 11.9

Step-by-step explanation:

add by lining up the decimals

I NEED HELP!!!! ASAP

Answers

Answer:

21

Step-by-step explanation:

1. (-4)2= 16

2.15/(-3)= 5

3. 16+5=21

Answer:

11

Step-by-step explanation:

First do -4^2

Then divide -15 and -3

Then 16-5

11

In what place is the digit 6 in the number 903.62?
А
hundreds
B
hundredths
с
tens
D
tenths

Answers

Answer:

I think its d if I remember correctly

Answer: D tenths

Step-by-step explanation:

when you go past the decimal you start by counting tenths, hundredths, thousands and so on

Cooper, Sha'Niya
A rectangle has a length that is 3 more than twice the width. Its perimeter is 96 inches
Which equation models this?

Answers

Answer:

8X = 96 inch

Step-by-step explanation:

How its in the draw you have this situation then the equation that model is the next one:

2*(3X) + 2*X = 96 inch

6X + 2X = 96 inch

8X = 96 inch

We must multiply due that there is two sides that measure the same.

Answer:

8X = 96 inch

Step-by-step explanation:

can somebody please help!!! asap!! thank you, anything is appreciated!!

Answers

Answer:

I believe its true, Im reallly sorry if its wrong

Step-by-step explanation:

True it is a factor

Yo welcome

it takes a biker 1/2 hours to ride 8/3 miles. What is the biker's rate,in miles per hour?

Answers

Answer:

The biker is traveling at [tex]5\frac{1}{3}[/tex] miles per hour.

Step-by-step explanation:

To find the rate, in miles per hour, you must use the formula r = d/t.

(r = rate)

(d = distance)

(t = time)

[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]5\frac{1}{3}[/tex]

Match each complex numbers with its corresponding distance to the origin

Answers

Answer:

2. z = 1 - 2·i    →    √5

3. z = 4 + 3·i   →      54

4. z = 6 - 8·i    →     10

1. z = √5 - i      →    √6

Step-by-step explanation:

1. z = √5 - i

The distance from the origin = √((√5)² +1²) = √(5 + (-1)²) = √6

Therefore, z = √5 - i → √6

2) z = 1 - 2·i

The distance from the origin = √(1² + (-2)²) = √5

Therefore, z = 1 - 2·i → √5

3) z = 4 + 3·i

The distance from the origin = √(4²+3²)) = √(16 + 9) = √25 = 5

Therefore, z = 4 + 3·i → 5

4) z = 6 - 8·i

The distance from the origin = √(6²+8²)) = √(36 + 64) = √100= 10

Therefore,  z = 6 - 8·i →  10

You are single and claim 1 allowance. You presently earn $520.00
per week. Starting next week you will receive a 5% increase in
pay and will earn $546.00. How much more will you have
withheld from your weekly pay for federal income tax?

Answers

I’m 644.001 dollars if not I’m sorry

Answer:1.99

Step-by-step explanation:

520 × 7.65= 39.78

546 × 7.65 = 41.77

41.77 - 39.78 =1.99

i need help with my math

Answers

Answer:

a - 8^2

b-2^8

c-4^2

d-2^4

Answer:

The first on the left is the last one on the right, the second on the left is the second on the right, the third on the left is the third on the right, and the fourth on the left is the first on the right. Hope this helps.

Step-by-step explanation:

Damon is 7 years older than his brother Mark. The sum of Damon and marks age is 29

Answers

Answer:

Damon is 18, Damon's brother is 11 years old.

Step-by-step explanation:

So, the total age of them both is 29. Damon is 7 years older, so we use 29-7=22. Now, 22 is Damon's brother's age times 2, so we use 22/2=11. 11 is Damon's age is 11+7=18, and His brothers age is 11.

Answer:

daman's age = (7+x)

let his brother's age be 'x'

according to the question,

(7+x) + x =29

7+x+x = 29

2x = 29 - 7

2x = 22

x = 22÷2

x = 11 = age of daman's brother

age of daman = 7+11 = 18

A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag? Explain your reasoning.

Answers

Answer:

114 red marbles, 6 black marbles.

Step-by-step explanation:

120/20=6

6*19=114

URGENT AND EASY 8TH GRADE MATH

Answers

Answer:

x < -8

Step-by-step explanation:

I used a calculator

Answer:

x<-8

Step-by-step explanation:

Let's solve your inequality step-by-step.

122<−2(8x+3)

Step 1: Simplify both sides of the inequality.

122<−16x−6

Step 2: Flip the equation.

−16x−6>122

Step 3: Add 6 to both sides.

−16x−6+6>122+6

−16x>128

Step 4: Divide both sides by -16.

−16x /−16 > 128 /−16

x<−8

The straight line depreciation equation for


a motorcycle is y = -2.150x + 17,200.


(Express your answers as whole


numbers.)


a. What is the original price of the


motorcycle? $17,200.00


b. How much value does the motorcycle


lose per year?


c. How many years will it take for the


motorcycle to totally depreciate?

Answers

Given :

The straight line depreciation equation for  a motorcycle is y = -2,150x + 17,200.

To Find :

a. What is the original price of the  motorcycle? $17,200.00  ?

b. How much value does the motorcycle  lose per year?

c. How many years will it take for the  motorcycle to totally depreciate?

Solution :

y = -2,150x + 17,200.

Here, y is price and x is unit of time in years.

a)

We know, original price is given when x =0.

So, y = 0 + 17,200

y = $17,200.00

b)

Value motorcycle lose per year is coefficient of x i.e $-2,150.00

c)

Form total depreciate :

y = 0

0 = -2,150x + 17,200

x = 17,200÷2,150

x = 8 years.

Hence, this is the required solution.

Please answer asap failure notices come out today

Answers

Answer:

It would be A.

Step-by-step explanation:

You can simply add the numbers to coordinates to see if matches.

For example, if you add the x + 2 to -3 and 2, its -1 and 4. Then if you add y+3 to -1 and 1, it's 2 and 4. I hope that makes sense :)

Three changes that have happened to the environment

Answers

Answer:glaciers melting, ozone layer getting thinner, 2.5 million trees being burned to the ground.

Step-by-step explanation:

Stresses on food producing systems urbanization and loss of biodiversity

Solve showing steps. Use Insert equation to get the symbol and Ctrl with . For exponents x2 + 3x - 4 = 0 9x2 + 12x + 4 =0 (leave answer as a fraction) x2 - 2x - 3 = 0 x2 - 6x + 9 = 0 2x2 - 4x - 3 = 0 (round to two decimal places)*

Answers

Here all the given equations are in the form of

[tex]ax^2+bx+c=0[/tex]

The value of [tex]x[/tex] can be determined by the perfect square method as follows:

[tex]ax^2+bx+c=0[/tex]

[tex]\Rightarrow x^2+\frac{b}{a}+\frac{c}{a}=0[/tex]

[tex]\Rightarrow x^2+2\times\frac{b}{2a}+\left(\frac{b}{2a}\right)^2-\left(\frac{b}{2a}\right)^2+\frac{c}{a}=0[/tex]

[tex]\Rightarrow \left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2-\frac{c}{a}[/tex]

[tex]\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\;\cdots(i)[/tex]

Now, for [tex]x^2+3x-4=0[/tex]

[tex]a=1, b=3, c=-4[/tex]

So, from equation (i)

[tex]x=\frac{-3\pm\sqrt{3^2-4\times1\times(-4)}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{3\pm\sqrt{9+16}}{2}[/tex]

[tex]\Rightarrow x=\frac{3\pm5}{2}[/tex]

[tex]\Rightarrow x=\frac{3+5}{2},\frac{3-5}{2}[/tex]

[tex]\Rightarrow x= 4, -1[/tex]

Similarly, for [tex]9x^2+12x+4=0[/tex]

[tex]a=9, b=12, c=4[/tex]

So, from equation (i)

[tex]x=\frac{-12\pm\sqrt{12^2-4\times9\times4}}{2\times9}[/tex]

[tex]\Rightarrow x=\frac{-12\pm0}{18}[/tex]

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

For [tex]x^2-2x-3=0[/tex]

[tex]a=1, b=-2, c=-3[/tex]

[tex]x=\frac{-(-2)\pm\sqrt{(-2)^2-4\times1\times(-3)}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{2\pm\sqrt{16}}{2}[/tex]

[tex]\Rightarrow x=\frac{2\pm4}{2}[/tex]

[tex]\Rightarrow x=\frac{6}{2},\frac{-2}{2}[/tex]

[tex]\Rightarrow x=3.00, -1.00[/tex]

For [tex]x^2-6x+9=0[/tex]

[tex]a=1, b=-6, c=9[/tex]

[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times9}}{2\times1}[/tex]

[tex]\Rightarrow x=\frac{6\pm0}{2}[/tex]

[tex]\Rightarrow x=3.00[/tex]

For [tex]2x^2-4x-3=0[/tex]

[tex]a=2, b=-4, c=-3[/tex]

[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-3)}}{2\times2}[/tex]

[tex]\Rightarrow x=\frac{4\pm\sqrt{40}}{4}[/tex]

[tex]\Rightarrow x=\frac{4\pm2\sqrt{10}}{4}[/tex]

[tex]\Rightarrow x=\frac{4+2\sqrt{10}}{4},\frac{4-2\sqrt{10}}{4}[/tex]

[tex]\Rightarrow x=2.58, -0.58[/tex]

The first number in scientific notation must be...

Answers

Answer:

greater than or equal to 1 and less than 10.

Step-by-step explanation:

The first number in scientific notation must be ...

greater than or equal to 1 and less than 10.

In Aunt Peggy’s backyard there are cows and chickens. There are 20 more chickens than cows. The total number of legs is 130. How many chickens and how many cows are there? (Each cow has 4 legs, each chicken has 2 legs.) PLZ HELP! Will mark brainliest

Answers

Answer:

There are 15 cows and 35 chickens

Step-by-step explanation:

So first you take 20 and multiply it by two since there are two legs on each chicken. You get 40.

Then you subtract 40 from 130. You get 90.

Since the cow has double the legs of the chicken, you can count the cow as two chicken.

You divide 90 by 3. You get 30.

To get the number of chicken you divide 30 by 2 and you get 15.

You add 15 and 20 together and you get 35 chickens.

To get the number of cows you divide 30 by 2 and you get 15.

So you have your answer. 35 chicken and 15 cows.

Х
8
24
10
30
12
36
14.
42
what is the Domain and
Range

Answers

For domain you have to see if it a function or not a function. The range is just the possible output values on the y-axis.

Answer: the range is 41, when finding the range you're finding the difference between the largest number and the smallest number so 42-X=1=41

Step-by-step explanation: when finding the domain you're simplifying the number, but since 41 can't be simplified it remains as 41

... The End

Which list orders the numbers from least to greatest?

–5, 1, 3, –2

A number line going from negative 5 to positive 5.
1, –2, 3, –5
–2, –5, 1, 3
–5, –2, 1, 3
3, 1, –2, –5

Answers

Answer:

C (3rd one) is the answer since -5 is the smallest and 3 being the biggest.

Step-by-step explanation:

-5 -2 1 3

Answer:

The answer is the 3rd choice!! In letter options, Option "C"!!!

Step-by-step explanation:

Hope I helped!!! Have great day ahead!!

#StayKind #BeBlessed #ThisGirlBlessed

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