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

a. 64
b.4
c.8
d.23
[ I NEED HELP :(( ]​

Answers

You can find this by using the pythagorean theorem.

The Pythagorean Theorem states that the squares of the legs add up to the square of the hypotenuse.

The hypotenuse is the longest side, which is opposite the right angle.

The other 2 sides are the legs.

Here, the hypotenuse is BC which is 17.

AC is one leg. We are trying to find the other leg.

So you set up the equation AB^2+ 15^2 = 17^2.

This simplifies to AB^2 + 225 = 289.

AB^2 = 64.

AB = 8.

C is your answer.

AC^2+AB^2=BC^2


15^2+AB^2=17^2


AB^2=17^2-15^2


AB^2=8^2


AB=8

Marta purchased screws and nails at a hardware store. She paid $0.10 for each screw and $0.05 for each nail. She purchased 15 screws but did not count the number of nails she purchased. She paid a total of $5.20 for the screws and nails. How many nails did Marta purchase?

Answers

Answer:

104

Step-by-step explanation:

Based on the total amount spent, we can infer that the number of nails Marta purchased was 74 nails.

Marta purchased 15 screws which cost $0.10 each. The cost is therefore:

= 15 x 0.10

= $1.50

The amount spent on nails is:

= 5.20 - 1.50

= $3.70

If each nail cost $0.05, the total nails bought is:

= 3.70 / 0.05

= 74 nails

In conclusion, 74 nails were purchased.

Find out more at https://brainly.com/question/18245725.

Reba is collecting pledges for a walk-a-thon. Her mother has pledged a flat donation of $8, and her grandmother has pledged $2 per mile. If Reba walks a certain distance, the two donors will end up owing the same amount. What is that distance? How much will each donor owe?​

Answers

Answer:

4 miles ,each donor will owe $8 hope this helped!

Step-by-step explanation:

I need help ASAP will mark brainliest

Answers

Answer:

1 and 2

Step-by-step explanation:

the square root of 210 is 1.44

How are mountains and plateaus alike?

Answers

Answer:

It is similar to a mountain in that it is dramatically higher than what is immediately around it. But mountains usually have a distinct apex or peak that is very small relative to the base and not typically level. Plateaus and mesas have tops only a little smaller than the base, and relatively flat. If the aspect ratio is less than 1, plateau. If greater than 1, mesa.

Step-by-step explanation:

Find the value of x in this
equation
(6x + 1) - 3x = (2x - 1)
Help pls ASAP

Answers

Answer:

x = -2

Step-by-step explanation:

∵Brainliest for the first right answer ∵

Answers

Answer:

D. 0.42 divided by 7

Hope this helps! Please mark Brainliest!

Answer:

D. is correct

Step-by-step explanation:

I took the test

√-90=ai√b what is the value of a and b?

Answers

Answer:

what is this topic in math?

If g(x) = x2 – 4, then what is g(-4)?
0 -20
0 -8
O 12
O 20

Answers

Answer:

g(- 4) = 12

Step-by-step explanation:

To evaluate g(- 4), substitute x = - 4 into g(x), that is

g(- 4) = (- 4)² - 4 = 16 - 4 = 12

The distance traveled varies directly with the time spent in motion when speed is held constant.
If d represents the distance traveled and t represents time, which equation would represent this variation?
If you travel 150 miles in 4 hours, what is the constant of variation?
If you continue traveling at a constant speed, how long will it take to travel 200 miles? Round to the nearest tenth of
an hour.
about hours
Intro
Done

Answers

Answer:

16/3 or 5.3

Step-by-step explanation:

150 miles  = 4 hours

Find how long it takes to travel 50 miles(GCF  between 150 and 200)

150/3 = 4/3

50 miles = 1 1/3 hours: multiply by 4 to get 200 miles

50 x 4 = 4/3 x 4/1

200 = 16/3

16/3 hours or 5.3

Solve the equation
x + 3x – 7 = 0
Give your answers to 2 decimal places.

Answers

Answer:

x = 1.75

Step-by-step explanation:

7 / 4 = 1.75

x + 3x = 4x

use the pythagorean theorem

Answers

Answer:

x equals 10

Step-by-step explanation:

this is a version of the 3,4,5 rule which says that if the sides of a right triangle are 3 and 4, the hypotenuse is 5. Since 6 and 8 could be simplified to 3 and 4 respectively, you could make the hypotenuse (x) 10, which has the same relationship to 5 (division by 2). Hope this helps!

Answer:

x = 10

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

− 9/ 5 v = 10 plz hurrryryryryryryryryry

Answers

Answer: v=559

Step-by-step explanation:Solve for V

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

V=−509

Decimal Form:

V=−5.¯5

Mixed Number Form:

V=−559

Hope this helps!!!!!!

What are the two answers for this problem? |c - 24| = 7c

Answers

Step-by-step explanation:

c=7c+24

c-7c=24

-6c=24

c=24÷-6

c=-4

(2.8 x 10^4) x (4 x 10^5) in scientific notation

Answers

Answer:

[tex] 1.12 \times {10}^{10} \\ [/tex]

Step-by-step explanation:

[tex](2.8 \times {10}^{4}) \times (4 \times {10}^{5} ) \\ 2.8 \times 4 \times {10}^{4 + 5} \\ = 11.2 \times {10}^{9} \\ = 1.12 \times {10}^{10} [/tex]

Pls i need it like now

Answers

You need to put the x or y value in the other equation ;
For example excersize a
It given that
Y=x^2+3x-1
Then you put it on the first equation :
x+x^2+3x-1=4
And then you solve it
x+x^2+3x-1-4=0
4x+x^2-5=0
We will make the order to seem easier
x^2+4x-5=0
x1=-5
x2=1
Then you put the x1,2 that you found on the second equation :
y=(-5)^2+3*(-5)-1=9
y=1^2+3*1-1=3
For summary :
x1=-5
x2=1
y1=9
y2=3

Help needed ASAP will give you BRAINLIEST and 5 stars rate

Answers

Option D, 8 dollars per hour

320/40= 8

The sum of three consecutive numbers is 519. What are the three numbers?

Answers

Answer:

El primer número llamaremos = x

El segundo número llamaremos = x + 1

El tercer número llamaremos = x + 2

Calculamos

x + (x + 1) + (x + 2) = 519

x + x + 1 + x + 2 = 519

x + x + x + 1 + 2 = 519

3x + 3 = 519

3x = 519 - 3

3x = 516

x = 516/3

x = 172

El valor de "x" lo reemplazamos en: (x + 1 y x + 2)

x + 1 = 172 + 1 = 173

x + 2 = 172 + 2 = 174

Respuesta.

Los números son: 172, 173 y 174

172 + 173 + 174 = 519

3y-7x+7y+2x=

Please help it would be great

Answers

First you should add like terms. Each term with the same variable should be combined
-7x combined with +2x is -5x
+3y combined with +7y is +10y
After this put them together

-5x+10y
This would be my answer

Is A the point or coordinate in A(3,5)

Answers

Answer:

The point

Step-by-step explanation:

I hope this helps. Have a good day!

3a + 4 = 2a + 7 and justify your steps

Answers

Answer:

3

Step-by-step explanation:

3a-2a=7-4

a=3 the answer is 3

During the winter, you charge people $15 for going to their house to shovel, then $11 for every hour you shovel. If you shovel 3 driveways in one day and make $89 that day, how many hours did you spend shoveling?

Answers

Answer:

4

Step-by-step explanation:

15x3=45

89-45=44

11x4=44

Answer:

Spent 4 hours shoveling

Step-by-step explanation:

15 x 3 = 45

89 - 45 = 44

44 / 11 = 4

I hope this helps you :)

!!!PLS HELP 20 PTS!!!

Answers

Answer:

I believe it would be A: 60°.

Step-by-step explanation:

I suck at explaining stuff but since R is 60°, and theres 120° outside of the triangle, that implies T = 60°. Triangles equal 180° so

60° + 60° + S = 180°

S = 60°

Hope this helps

Answer:

The answer of the question is 60° which is option(A).

here,

let one be suppose angle a°

a°+ 120° = 180° {being straight angle}or, a° = 180° - 120°

or, a° = 60°

a° = 60°

Now,

Let angle S be s°

s°+60°+60° = 180°{ the sum of angle of triangle is 180°}

or, s° = 180° - 120°

or, s° = 60°

therefore, angle S is 60°

Solve for x: (1 point)

-9/8, * x - 7=-25

Answers

Answer: x=16

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -9/8*x-7-(-25)=0

simplify 9/8

((0 -  (9/8 • x)) -  7) -  -25  = 0

 Subtracting a whole from a fraction

Rewrite the whole as a fraction using  8  as the denominator

7 = 7/1 = 7*8/8

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

  -9x - 56  =   -1 • (9x + 56)

   Adding up the two equivalent fractions

(-9x-56) - (-25 • 8)/8     144 - 9x/8

  144 - 9x  =   -9 • (x - 16)

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, multiply both sides of the equation by the denominator.

Here's how:

 -9•(x-16)/8 • 8 = 0 • 8

         

Now, on the left hand side, the  8  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -9  •  (x-16)  = 0

   Solve  :    x-16 = 0  

Add  16  to both sides of the equation :  

                     x = 16

Answer: x=16

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                   -9/8*x-7-(-25)=0

simplify 9/8

((0 -  (9/8 • x)) -  7) -  -25  = 0

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  8  as the denominator

7 = 7/1 = 7*8/8

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

 -9x - 56  =   -1 • (9x + 56)

  Adding up the two equivalent fractions

(-9x-56) - (-25 • 8)/8     144 - 9x/8

 144 - 9x  =   -9 • (x - 16)

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, multiply both sides of the equation by the denominator.

Here's how:

-9•(x-16)/8 • 8 = 0 • 8

         

Now, on the left hand side, the  8  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

 -9  •  (x-16)  = 0

  Solve  :    x-16 = 0  

Add  16  to both sides of the equation :  

                    x = 16

Consider the two functions f(x) and g(x), where f(x) = 2x and g(x) is graphed below.

Graph of g(x)


Compare the rate of change of the two functions on the interval 2 ≤ x ≤ 3.

The rate of change of the function g(x) is greater than f(x).
The rate of change of the function f(x) is greater than g(x).
The rate of change of the function f(x) and g(x) are the same.

Answers

The slope of the graph is 2 .

So the rate of change of g(x) is 2, just like f(x).

In fact, g(x) is also = 2x, just like f(x) .

Select the correct answer.
which number is the additive Inverse of –10 1/4
A. 10 1/4
B. -4 1/10
C 0
D 4/41


HELP FAST!!!


Answers

Answer:

is 0

Step-by-step explanation:

Answer:

A 10 1/4

Step-by-step explanation:

for the inverse of a fraction you just take away the -.

Answer please :D.....

Answers

Answer

50/1    6/7

Step-by-step explanation:

I'm so confused on this​

Answers

Okay so they would be vertical angles so (7x-20)=(4x+16)

so the answer is x=12

hope this helps if you can brainliest please

Help! Again..
The sales tax in your city is 8.8%, and an item costs 63 BEFORE tax.
How much tax would you pay on that item?

Answers

Answer:

$5.54

Step-by-step explanation:

8.8% of $63 = 0.088 * $63 = $5.544

Answer: $5.54

Answer:

You would pay $5.54 tax for that item.

Step-by-step explanation:

0.088 x 63 = 5.54

Greg and Marti are racing remote control cars. The race starts at t=0 and the car’s distance is measured from the start line. Both cars have a constant rate of change. Information about each of the cars during the race is shown below.

The race was over after 10 seconds. The winner of the race is defined by the person who is farthest from the start line. Whose car should be crowned the winner? Use mathematics to justify your answer.

Answers

Answer:

Marti

Step-by-step explanation:

Marti is farthest because it says that greg's car travels 13 feet but after two seconds he was at 30.7 away from the start line and marti was 2 feet in front but martyi goes faster because her car goes way more faster every second: (16.5 > 13) so: Greg is 30.7 + 13 x 10 = 160.7 | Marti: 2 + 16.5 x 10 = 167, So Marti wins the race and should be crowned the winner.

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