The expression 2x² + ax is equivalent to x (2x + 7) for some constant a. What is the value of a ?

Answers

Answer 1
2x^2 + ax = x(2x+ 7)
2x^2 + ax = 2x^2 + 7x
Subtract 2x^2 from both sides
ax = 7x
a = 7

Related Questions

What is the equation for the parabola that
has a focus at (-7, 6) and a directrix of x
1?

Answers

Answer:

Step-by-step explanation:

Parabola's equation is

y

=

1

16

(

x

7

)

2

+

1

and vertex is

(

7

,

1

)

.

Explanation:

Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.

Let the point be

(

x

,

y

)

. Here focus is

(

7

,

5

)

and distance from focus is

(

x

7

)

2

+

(

y

5

)

2

. Its distance from directrix

y

=

3

i.e.

y

+

3

=

0

is

|

y

+

3

|

.

Hence equaion of parabola is

(

x

7

)

2

+

(

y

5

)

2

)

=

|

y

+

3

|

2

or

x

2

14

x

+

49

+

y

2

10

y

+

25

=

y

2

+

6

y

+

9

or

x

2

14

x

+

65

=

16

y

i.e.

y

=

1

16

(

x

2

14

x

+

49

49

)

+

65

16

or

y

=

1

16

(

x

7

)

2

+

65

49

16

or

y

=

1

16

(

x

7

)

2

+

1

Hence parabola's equation is

y

=

1

16

(

x

7

)

2

+

1

and vertex is

(

7

,

1

)

.

graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}

Plz I need help, I’m confused and lost :(

Answers

5 3/4 miles/ 1/3 hour

5 3/4* 3 = 17.25 miles in an hour

First answer: 17.25 miles in an hour.

3a. True 3b. False 3c. True

what is the equivalent expression plzz help

Answers

correct answer: the first choice !

The table shows which equation?

Answers

Answer:

C. I think I'm not sure

Step-by-step explanation:

A football team loses an average of 3 yards per play. How many yards
have they lost after 4 plays? Write a number sentence to show your
answer.

Answers

The expression would be:

3x

x=number of plays

Insert 4:

3(4)

=12

They would 12 yards after 4 plays if losing 3 yards every play.

The amount of yards the football team loses after 4 plays is given by the equation A = 12 yards

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of yards the football team loses after 4 plays be A

Now , the equation will be

Let the amount of yards the football team loses per play = 3 yards

So , the amount of yards the football team loses after 4 plays = 3 x amount of yards the football team loses per play

Substituting the values in the equation , we get

The amount of yards the football team loses after 4 plays A = 3 x 4

On simplifying the equation , we get

The amount of yards the football team loses after 4 plays A = 12 yards

Hence , the amount of yards is 12 yards

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In a survey of 3400 people who owned a certain type of car 2210 people said they would buy the type of car again what percent of the people surveyed were satisfied with the car? Plz help me! :)

Answers

65%

2210/3400 is .65, move the decimal 2 to the right

Will give brainlist if correct.

Answers

Answer: [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

1. Original Equation: [tex]4^4(4^-^7)(4)[/tex]

2.Simplify: [tex]4^4(4^-^7)(4) ----> 4^4* 4^-^7 * 4\\[/tex]

3.Apply exponent rule: [tex]4^4^-^7^+^1[/tex]

4. Simplify: [tex]4^-^2\\[/tex]

5.Apply exponent rule: [tex]\frac{1}{4^2}[/tex]

6.Simplify: [tex]\frac{1}{16}[/tex]

you want to buy a new coat
that is on sale for 15% off. The sale price of the coat is $60.
What was
the original price of
the coat ?

Answers

Answer:

70.59

Step-by-step explanation:

What does the graph of the function represent

Answers

The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

PLEASE HELP FAST
The midpoint of AB is M(-4, 0). If the coordinates of A are (-6, 6), what are the coordinates of B?

Answers

Answer:

The coordinates of B are: (a, b)=(-2, -6)

Step-by-step explanation:

Let (a, b) be the coordinates of the point 'B'.

As

The midpoint of AB is M(-4, 0)

The coordinates of A are (-6, 6)

The midpoint (x,y) of line joining points (x₁, x₂) and (y₁, y₂)

[tex]x=\frac{x_1+x_2}{2},\:y=\frac{y_1+y_2}{2}[/tex]

-4 = (-6+a)/2  and  0 = (6+b)/2

-8=-6+a          

-8+6=a                  

a=-2

0=(6+b)/2

0=6+b

b=-6

Therefore, the coordinates of B are: (a, b)=(-2, -6)

PLEASE HELP ME I HAVE A SICKNESS CALLED IM DUMB AND I REALLY NEED HELP WITH THESE QUETIONS. IF YOU CAN ANSWER THEM ALL ILL GIVE BRAINLIEST AND 50 POINTS AND PLSS DONT DO IT FOR THE POINTS.PLSSS

Answers

Step-by-step explanation:

the answer in the image

Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh pounds total. If there are containers, how much does each container weigh? Leave your answer in the form a^b.

Answers

Answer:

Each container weigh 10^3pounds

Step-by-step explanation:

The question lacks the necessary values. Let's restructure the question and include values.

Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh 100,000 pounds total. If there are 100 containers, how much does each container weigh? Leave your answer in the form a^b.

From the question, we are given the following;

Weight of containers full of skeleton = 100000 pounds

Number of containers = 100

Required

Weight of each container

Let's say:

100containers = 100000pounds

1 container = xpound

Cross multiply

100×x = 100,000

Divide both sides by 100

100x/100 = 100,000/100

x = 10,000/100

x = 10^5/10^2

Using the law of indices

x = 10^{5-2}

x = 10^3

Hence the answer in form of a^b is 10^3 pounds.

What is the factor to this as a expression?

Answers

Answer:

The expression is not factorable with rational numbers

Step-by-step explanation:

I will send u the pic​

Answers

Answer:

a pic of ur math?

Step-by-step explanation:

Um, what do u mean? Wait what are you even talking about

PLEASE HELP ME ITS VERY URGENT AND I DON'T UNDERSTAND HOW TO DO THIS!!!

Answers

Answer:

B and D also intersect at C

Step-by-step explanation: Instructions are unclear but it think that you are supposed to say the other pair that meets in a strait line

Answer:

Step-by-step explanation:

AC² = 25 + 9 - 15 cos120° = 34 - 15(- 0.5) = 41.5 ⇒ AC = √41.5 ≈ 6.442 cm ≠ EC

ΔABC doesn't congruent to ΔEDC

50 POINTS PLEASE HELP
Stephano solved this inequality, but the solution does not work when he checked his answer. In which step did he go wrong? Explain.
-4s + 5 ≤ 16
\frac{-4s + 5}{-4} ≥ \frac{16}{-4}
s + 5 - 5 ≥ -4 - 5
s ≥ -9

Answers

Answer: 2nd step

Step-by-step explanation:

(-4s+5 )/-4 ≥ 16/-4

S-(5/4) ≥ -4

S ≥ -4+(5/4)

S ≥ 1/4

Find the slope, please.!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it's one.

Step-by-step explanation:

I took this two year ago.

Answer:

the slope is 1

Step-by-step explanation:

up one over one aka 1/1 = 1

Travis was attempting to make muffins to take to a neighbor that had just moved in down the street. The recipe that he was using required 3/4 cup of sugar and 1/8 cup of butter.
1. Travis accidentally put a whole cup of butter in the mix.
A. What is the ratio of sugar to butter in the original recipe? What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?

B. If Travis wants to keep the ratios the same as they are in the original recipe, how will the amounts of all the other ingredients for this new mixture compare to the amounts for a single batch of muffins?

C. The original recipe called for 3/8 cup of blueberries. What is the ratio of blueberries to butter in the recipe? How many cups of blueberries are needed in the new enlarged mixture?

Answers

Answer:

A. (3/4) : (1/8)

Travis must add 6 cups of sugar to maintain the ratio.

B. Travis must multiply the ratio of all other ingredients by 8.

C. (3/8) : (1/8)

Travis must add 3 cups of blueberries to maintain the ratio.

Step-by-step explanation:

A.

3/4 * 8

24/4

6 cups of sugar to maintain the same ratio.

B. 1/8 turned into 1 so that means it was multiplied by 8

C. 3/8 are blueberries and 1/8 is butter

(3/8) * 8

3

This took a long time to do... reward?

Nixon has a square piece of wrapping paper that has a total area of 200 square inches. Which point on the number line below represents the measurement closest to the side length of the piece of wrapping paper​

Answers

Answer:

x = 14 inches

Step-by-step explanation:

The area of a square piece of paper is 200 square inches.

We need to find the point on the number line below represents the measurement closest to the side length of the piece of wrapping paper​. It is shown in the attached figure.

Area of a square = x², x is the side length

[tex]x=\sqrt{A} \\\\x=\sqrt{200} \\\\x=14.142\ \text{inches}[/tex]

or

x = 14 inches

So, the side length of the square is 14 inches. It is shown in point A.

Nicole is making 1,000 bows for people who donate to the library book sale. She needs a piece of ribbon that is o.75 meters long for each bow. How many meters of ribbon does Nicole need to make for the bows? Explain how to find the answer.

Answers

Answer:

750 meters

Step-by-step explanation:

In order to calculate the total amount of ribbon that she needs, we need to multiply the amount of ribbon that each bow needs by the total number of bows that need to be made. Since we are given both of these values we simply multiply and solve for x which is the total amount of ribbon that Nicole needs.

1000 * 0.75 = 750 meters

Therefore, Nicole needs a total of 750 meters to make all of the needed bows.

x2 + 20x +__________

Answers

Complete the square
x^2 + 20x+100

A $136,000.00 home with 30yr mortgage with 1.1% fixed rate. 20% down down payment. How much is the down payment, the monthly payments, interest rate and the loan?

Answers

Answer:

down payment = home value x 20% = $136,000 x 20% = $27,200

loan = home value - down payment = $136,000 - $27,200 = $108,800

interest rate = 1.1% fixed (given) ≈ 0.09167% per month

duration of loan = 30 years or 360 months

monthly payment = present value of loan / PV annuity factor

PV annuity factor, 360 periods, 0.09167% = 306.5134 (I used an online annuity calculator)

monthly payment = $108,800 / 306.5134 = $354.96      

Helpppp what is kp???

Answers

Step-by-step explanation:

the equilibrium constant expressed in terms of partial pressures. Kp index, a measure of the global average geomagnetic potential. Kripke–Platek set theory, a mathematical axiom system.

simply : b2 • b3 • b
(• = divide)

Answers

Answer:

Step-by-step explanation:

Is it b^2 divided by b^3 divided by b?

If so, the answer is 1/b^2

help me on this please it’s due at 11:59 and i have no idea what to do

Answers

1. One value of x for f(x)=-4 would be 0.
2. Should be 3.5 and -3.5 but I'm not sure

Solve
4x - 9 = 6 - x

Answers

Answer:

x = 3

Step-by-step explanation:

The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.

Given Equation:

4x - 9 = 6 - x

Add both side x of the equation

4x - 9 +x = 6 - x + x

5x = 6

Now, divide both side by 6 gives

5x/ 5 = 6/5

x = 1.2

Thus, the value of x is 1.2.

Learn more about Equation here:

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Mrs. Reed spent $34 to buy M&Ms and paper clips for her students. She bought a total
of 10 items. If the M&M bags were $3 each and the paper clips were $4 for each box,
how many of each did she buy?

Answers

Answer:

Mrs. Reed bought 4 boxes of paper clips and 6 bags of M&Ms.

Explanation:

4 x 4 = 16

3 x 6 = 18

16 + 18 = 34

Answer:

Step-by-step explanation:

408 = 12x + 16y solve for both x and y?

Answers

Answer:

Slope= − 1.500/2.000

= -0.750

x intercept= 102/3

= 34

y−intercept= 102/4

= 51/2

= 25.50000

Step-by-step explanation:

sorry if this is wrong, I tried!

Fill in the blank.

(45)×(512) = ___ / 5×12

Answers

Answer:

x=1382400

this should be right

Answer:

1382400

Step-by-step explanation:

Well, we can first find that 5x12 is 60 so if you substitute it, it would be:

45x512 = ___ / 60

We can also substitute ___ as x:

45x512 = x/60

45x512 is 23040 so, 23040 = x/60.

Bring sixty to the other side and multiply

x= 23040 x 60 = 1382400

what is the proportional realashionship

Answers

Answer: "Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"."

Step-by-step explanation: I got this from a website. Hope it works!!!

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