Question and choices are in the photo please explain the answer

Question And Choices Are In The Photo Please Explain The Answer

Answers

Answer 1

Answer:

B

Step-by-step explanation:

expand the brackets

2x² - x + 10x -5 = 3x + 15

combine like terms

2x² + 9x  - 5 = 3x + 15

2x² + 6x - 20 = 0

divide through by 2

x² + 3x - 10 = 0

factorise

determine factors of -10x² that would add up to 3x

they are 5x - 2x

(x² -2x) (5x - 10)

x(x - 2) +5(x-2)

x + 5 = 0

x = -5

x - 2 = 0

x = 2


Related Questions

The perpendicular of a right angled triangle measures 3m, the area of the triangle 6 sq. m. What are the lengths of the other two sides of the triangle?​

Answers

Answer:

the length of the other sides are

4 m and 5 m

Step-by-step explanation:

the area of right triangle = ½× b x h = 6

let b = 3m => h= 2×6/ 3 = 4m

and the hypotenuse = √3²+4²=√25= 5m

Answer:

5m and 4m

Step-by-step explanation:

(area of a right angle triangle)=1/2×b×h

let b = 3m

1/2×6×2=6×2=12/3=4m

and it's hypotenuse= 3

[tex]3 { }^{2} + 4 {}^{2} = \sqrt{25 {}^{2} } [/tex]

= 5m



the choices are
[tex] \frac{4}{25} [/tex]
[tex] - \frac{2}{5} [/tex]
[tex] - \frac{4}{25} [/tex]
[tex] \frac{2}{5} [/tex]

Answers

Answer:

option b) -2/5

Step-by-step explanation:

Using the rule :

             [tex]\sqrt[3]{a^3} = (a^3)^{\frac{1}{3}} = a[/tex]

             [tex]\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd[/tex]

[tex]\sqrt[3]{-\frac{8}{125}} = \sqrt[3]{-\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} = -\frac{2}{5}[/tex]

Answer:

[tex]\sqrt[3]{-\frac{8}{125} }[/tex]

[tex]-\sqrt[3]{2^3} /\sqrt[3]{5^3}[/tex][tex]-2/\sqrt[3]{5^3}[/tex][tex]-\frac{2}{5}[/tex]

So, your answer is B) - 2/5

-----------------------------

hope it helps...

have a great day!!

What are the ordered pairs for all of the points

Answers

A (3,4)
B(-3,2)
C(-2,-4)
D(6,-3)

Answer:

A ( 3 , 4 )

B ( -3 , 2 )

C ( -2 , -4 )

D ( 6 , -3 )

E ( 0 , 0 )

Step-by-step explanation:

remember that x values go first and then y values ( x , y )

what is 0.8 divided by 62 as a decimal please help this is a finals

Answers

0.8 divided by 62 equals 0.80 or 80 percent (%)

Answer:

0.0129032258

Step-by-step explanation:

I simply did long division.

0.8 divided by 62 = 0.0129032258

the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number​

Answers

Answer:

The third number is 11

Step-by-step explanation:

First, you multiply 15 by 3 to get the sum(45) and then you add 18 and 16 to get 34. Lastly, you will minus 45 and 34 and your answer will be 11.


A large bag contains 16 red, 48 blue, and 16 green marbles. Each student in Mrs. Wynn's class randomly selects a marble, records the color, and then puts the marble back into the bag. Mrs. Wynn then reports the total number of red, blue, and green marbles selected by the entire class.

Which of these statements are true? Choose all that are correct.


A.
Theoretically, the probability of selecting one red marble from this bag is 0.20.


B.
If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.


C.
If there are 30 students in the class, the total number of blue marbles selected should be about 18 but may be more or less.


D.
It is possible that every student selects a green marble.


E.
If the total number of red marbles selected is not equal to the total number of green marbles selected, then there was a mistake in selecting the marbles or recording the data.

Answers

Answer:

Find the volume of this prism.

Theoretically, the probability of selecting one red marble from this bag is 0.20.

If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.

What are the probabilities?

Probability determines how likely it is an event would happen. The chances of the event happening lie between 0 and 1.

The probability of selecting one red marble from this bag = number of red marbles / total number of marbles

16 / 80 = 0.20

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ2

In 24 games, Jamie has 48 scoring attempts. Which unit rate describes Jamie's scoring attempts? A) 1/2 of a scoring attempt per game. B) 2 scoring attempts per game. C) 24 scoring attempts per game. D) 72 scoring attempts per game

Answers

Answer:

The answer is B) 2 scoring attempts per game.

please help this is for my finalllll

Answers

Answer:

K= J-5

Step-by-step explanation:

Answer:

K=J-5

Step-by-step explanation:

First we have K+5=J, but we need to find K.

Move K to the other side of the equation, change the sign to subtraction, the opposite of addition, and there you have it!

K=J-5

Hope this helps!

--Applepi101


What scale factor, as a percent, was applied to create the copy?
A. 50%
B. 75%
C. 125%
D. 150%

Answers

B

I’m sorry if it wrong

Have a nice day

Write 5 5/6 as an improper fraction

Answers

Answer:

the answer is 35/6 hope it helps:)

Answer:

The answer is 35/6

Step-by-step explanation:

Multiply the denominator by the whole number.

5 x 6 = 30

Then add the Numerator.

30 + 5 = 35

Now the answer is 35/6, you don't change the denominator.

resuelve la siguiente ecuación polinómica​

Answers

Answer:

This question cannot be solved.

Step-by-step explanation:

because they have different

Ahmed needs to fill a fish tank with water. He uses three cups of water to fill 1/4 of the tank. How many cups of water will he need to completely fill the tank.

-1
-3
-4
-12

Answers

Answer:  D) 12

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

Work Shown:

3 cups = 1/4 tank

4*(3 cups) = 4*(1/4 tank)

12 cups = 1 tank

The person above is perfectly right! Your answer IS 12.

Have a nice day :DD

What is the value of y?
O A. 36°
O B. 72°
C. 54°
O D. 1080

Answers

sorry but can u show a picture of y?

Answer:

but where is que plz show your que

Please help (add work/reasoning if you can)

Answers

Answer:

A

[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]

A is the right answer

Find measure of angles B, E, D and C and the length of BC.

Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Answers

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

the ratio of the ages of Charlie and Kelvin is 2:3 if Charlie is 8 year old ,how old is Kelvin​

Answers

Answer:

Charlie would be 11

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Create proportional relationship to solve for Kevin's age

Let k = Kevin's age

2/3 = 8/k

Now solve for k

Cross multiply

24 = 2k

Divide both sides by 2

12 = k

If charlie is 8 then Kevin is 12

PLEASE HELP MEEEEEE PLEASE I need HELP. thank you I love you​

Answers

Answer:

b

Step-by-step explanation:

<ABC refers just to angle B. Angle B is on the opposite side of 98 therefore we would have to divide it by two. 98 divided by 2 is 49

A market sells cucumber for 1.20 the cost of each cucumber is the same

Answers

Answer:

Step-by-step explanation:

Let the number of cucumber = x

And the cost of the cucumber = y

Cost of the cucumber will be directly proportional to the number of cucumbers.

y ∝ x

y = kx [Here, k = proportionality constant]

Since, market sells 3 cucumbers for $1.2

1.2 = k(3)

k = 0.4

Therefore, equation for this situation will be,

y = 0.4x

Part A

If x = 1,

y = 0.4(1)

  = 0.4

For x = 2,

y = 0.4(2)

  = 0.8

For x = 3,

y = 0.4(3)

  = 1.2

Number of cucumbers            Cost($)

          1                                          0.4

          2                                         0.8

          3                                          1.2

Part B

Equation representing relation between number of cucumbers and the cost will be,

y = 0.40x [Option A]

(5x-3)=(3x+27) I dont understand

Answers

Answer:

x = 15

Step-by-step explanation:

(5x-3)=(3x+27)

Subtract 3x from each side

(5x-3x-3)=(3x-3x+27)

2x-3 = 27

Add 3 to each side

2x-3+3 = 27+3

2x= 30

Divide by 2

2x/2 = 30/2

x = 15

Given that XYZ ~ JKL answer the following:

what is the ratio of similarity (scale factor)

SOLVE for the length of YZ:


SOLVE for the length of JL:

Answers

Answer:

scale factor is 3/2

YZ=15

JL=12

Step-by-step explanation:

JK=XY

ZY=LK

XZ=JL

15/10=3/2 (scale factor)

3/2=x/10

now cross multiply

30/2=2x/2

15=x or YZ

3/2=18/y

cross multiply

3y/3=36/3

JL or y=12

The road leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high. What is the length of the road to the top of the hill?

Answers

Answer:

2760

Step-by-step explanation:

23 multiply by 120

=2760

Which is an equation of a direct proportion?
A: y=16x+6
B: y=6x
C: y=6x−6
D: y=6x

Answers

Answer:

B) y=6x

Step-by-step explanation:

Consider the function and its inverse.
f(x) = x2 + 4 and f-1(x) = -x - 4
When comparing the functions using the equations, which conclusion can be made?
The domain of f(x) is restricted to x 20, and the domain of f'(x) is restricted to x2 0.
The domain of f(x) is restricted to x 20, and the domain off(x) is restricted to xs 0.
O The domain of f(x) is restricted to x s 0, and the domain off'(x) is restricted to x2 4.
O The domain of f(x) is restricted to x s 0, and the domain off'(x) is restricted to x s 4.

Answers

Step-by-step explanation:

it might be the last one

may it helped u

If f(1) = 1 and f(n + 1) = 5f(n) + 3 then find the value of f(4).

Answers

Answer:

218

Step-by-step explanation:

Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,

f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8

f(3) = 5(8) + 3 = 40 + 3 = 43

f(4) = 5(43) + 3 = 215 + 3 = 218

How do you factor the quadratic equation 3x^2 + 8x + 3 to find the roots?

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

The quadratic is not factorable, to figure this out use this formula (b^2-4ac) to figure out the discriminant. If the discriminant comes out to be a perfect square or equal to zero then we can say it’s factorable if it does not meet those requirements it’s not. In this problem it’s 8^2-4*3*3. Simplify and you get 64-36 which is equal to 28. 28 is not a perfect square or equal to zero therefore this is not factorable. If you need the root the quadratic formula would be a good option also look on the bottom if that’s what u need.

Hope this helps!

Hellpp and thanks!!

Answers

Answer:

c = 4n

Step-by-step explanation:

Answer my this question too uregent

Answers

Answer:

The correct answer is D.

A, B, and C are incorrect. <3

Hope this helps!

- Madeline

Answer:D
The rest wrong
Hope this helped you

Helpppppppp meeeee please ASAP

Answers

Answer:

(9, 13, 22)

Step-by-step explanation:

We can use the triangle inequality theorem to help us solve this problem. We know that the two shortest sides of a traingle added up (their sum) needs to always be greater than the longest side of the triangle. Taking that information, we can figure out that 9+13=22. 22=22, not 22>22. This means that is the right answer, hopefully that helps!

plzz help me with the correct ans find x ​

Answers

Answer:

15

Step-by-step explanation:

Since, triangle ABC is the enlargement of triangle XYZ.

[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]

So, corresponding sides of both the triangles would be in proportion.

[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]

[tex] \therefore x= \frac{6\times 25}{10}[/tex]

[tex] \therefore x =\frac{150}{10}[/tex]

[tex] \therefore x = 15[/tex]

The answer is 15. Because yes

Why would the answer be 3.?

Answers

Answer: Cause why not?

Step-by-step explanation:

[tex]3(4x-1)=-2x+19+8x-4[/tex]

First combine like terms:

[tex]3(4x-1)=(-2x+8x)+(19-4)\\\\3(4x-1)=6x+15[/tex]

Now distributive property

[tex](3)(4x)-(3)(1)=6x+15\\12x-3=15+6x[/tex]

Additive Property of Equality

[tex]12x-3+3=15+6x+3\\12x=18+6x[/tex]

Subtractive Property of Equality

[tex]12x-6x=18+6x-6x\\6x=18[/tex]

And finally Division Property of Equality

[tex]\frac{6x}{6} =\frac{18}{6} \\x=3[/tex]

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