Is 3 a solution to the equation 6x – 7 = 11?

Answer:

that's your answer...

Answer:

2x^3 + 3x^2 - 11x - 6.

Step-by-step explanation:

(2x+1) (x-2) (x+3)

= (2x + 1)[x(x + 3)-2(x + 3)]

= (2x + 1)(x^2 + x - 6)

= 2x(x^2 + x - 6) + 1(x^2 + x - 6)

= 2x^3 + 2x^2 - 12x + x^2 + x - 6

= 2x^3 + 3x^2 - 11x - 6.

Good morning,

Answer:

Step-by-step explanation:

(2x+1) (x-2) (x+3)

= (2x+1) [(x-2) (x+3)]

= (2x+1) [x²+3x-2x-6]

= (2x+1) [x²+x—6]

= 2x³+2x²-12x+x²+x-6

=2x³+3x²-11x-6.

:)

Answer: x=-5

(^._.^)ﾉ

Step-by-step explanation:

4x-3=2x-13

Subtract

4x−3−2x=−13

Simplify

2x−3=−13

Add 3 to both sides

2x=−13+3

Simplify again

2x=-10

Divide both sides by 2

x=[tex]-\frac{10}{2}[/tex]

Simplify one last time

x=-5

You're finished! Not only that but you found the answer :3

Hope this helps, have a BLESSED and wonderful day! :-)

Answer: 10 free throws made, 9 two-point shots made

Step-by-step explanation:

x=number of free throws

y=number of two-point shots

x+y=19

x+2y=28

solve by elimination

x+2y=28

-(x+y=19)

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

y=9

x=10

Answer: 10 free throws made, 9 two-point shots made

Step-by-step explanation:

x=number of free throws

y=number of two-point shots

x+y=19

x+2y=28

solve by elimination

x+2y=28

-(x+y=19)

(Y=9

X=10)

Answer:

x=15

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

4x+10=x+5+50

4x+10=x+55

4x-x+10=55

3x+10=55

3x=55-10

3x=45

x=45/3

x=15

Answer:

6x^3

Step-by-step explanation:

2160x^8/ 60x^2

2160/60=36

x^8-2 because your dividing

x^6

36x^6 (you're not done)

after you've got the square root

6x^3 because

36=6*6

and the square root of 6 is 2.45 which rounds to 3

(I'm pretty sure this is the answer).

The simplified form of [tex]\rm \sqrt{\dfrac{2160 x^8}{60x^2}[/tex] is 6x³ , Option C is the right answer.

Square root of a positive square number is the number itself.

[tex]\rm \sqrt{y^8} = y^4[/tex]

In the given question the expression given is

[tex]\rm \sqrt{\dfrac{2160 x^8}{60x^2}[/tex]

To simplify this

the numerator and the denominator has to be simplified first

[tex]\rm \dfrac{2160x^8}{60x^2}\\[/tex]

[tex]\rm \dfrac{2160}{60}\\ \\\\\ \dfrac{1080}{30}\\\\\\ \dfrac{540}{15} \\\\\\ \dfrac{108}{3}\\\\= 36[/tex]

[tex]\rm \dfrac{x^8}{x^2} \\\\= x^{8-2}\\\\= x^6[/tex]

Therefore

[tex]\rm \sqrt{36x^6}[/tex]

6x³

The simplified form of [tex]\rm \sqrt{\dfrac{2160 x^8}{60x^2}[/tex] is 6x³ , Option C is the right answer.

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Answer:

675 ft 2

Step-by-step explanation:

just did it in a test

Answer:

A = 10⁰

Step-by-step explanation:

We have 2.247 and this to represented as [tex]$ 2 \times A + 2 \times B + 4 \times C + 7 \times D $[/tex]

[tex]$ 2.247 = \frac{2247}{1000} $[/tex]

[tex]$ 2.247 = 2 \times 10^0 + 2 \times \frac{1}{10} + 4 \times \frac{1}{10^2} + 7 \times \frac{1}{10^3} $[/tex]

Comparing with the given data, we have:

A = 10⁰

B = [tex]$ \frac{1}{10} $[/tex]

C = [tex]$ \frac{1}{10^2} $[/tex]

D = [tex]$ \frac{1}{10^3} $[/tex]

Hence the answer A = 10⁰.

Answer:

Step-by-step explanation:

(y-y)=m(x-x)

(y--3)=2(x-7)

y+3=2x-14

y+3+14=2x

Answer:

A'(-16,4), B'(16,-12), C'(8,12), D'(-4,16)

Step-by-step explanation:

The dilation with a center of dilation at (0,0) and scale factor of [tex]\frac{1}{4}[/tex] has the rule

[tex](x,y)\rightarrow \left(4x,4y\right)[/tex]

Quadrilateral ABCD has vertices at points A(-4,1), B(4,-3), C(2,3) and (-1,4).

Therefore, the image vertices are

Answer:take 193 and subtract 35. you should get 158 then divide 158 bby 2 you should get 79 add 35 to 79 you should get 114. therefore kelly will have 114 and rachel will have 79

Step-by-step explanation:

Answer:

Kelly collected 114 pounds of newspaper. Rachel collected 79 pounds of newspaper.

Step-by-step explanation:

Write an expression for each girl to figure out how many pounds of newspapers they each collected:

(x represents pounds of newspapers)   Rachel = x     Kelly = x + 35

To solve, combine the two expressions into one equation: 2x + 35 = 193

Then, subtract 35 from both sides of the equation. Make sure you subtract from both sides of the equation to keep it equal: 2x + 35 - 35 = 193  - 35

The equation left is: 2x = 158

Divide both sides by two in order to get the x by itself: 2x ÷ 2 = 158 ÷ 2

The answer will be: x = 79

Then, substitute 79 for x in the first equations:

Rachel = 79    Kelly = 79 + 35

Solve for the final answer: Rachel = 79    Kelly = 114

Ms. Mundo can fill 5 full glasses with 40 ounces of tropical punch, with 5 ounces remaining. This remaining amount fills 2/3 of the last glass.

Ms. Mundo made 40 ounces of tropical punch to pour into glasses that each holds 7 1/2 ounces. To find out what fraction of the last glass is full of punch, we first need to determine how many full glasses can be poured from the 40 ounces.

Since each glass holds 7.5 ounces (which is the same as 7 1/2 ounces), we divide 40 by 7.5 to find the number of full glasses:

 40 ÷ 7.5 = 5 remainder 5

This means that 5 full glasses can be filled, with 5 ounces of punch remaining. Now, to find out what fraction of the last glass the remaining punch fills, we divide the leftover ounces by the capacity of one glass:

 5 ÷ 7.5 = 2/3

The fraction of the last glass that is full of punch is 2/3.

Part A

h(d) = (-1/5)d^2 + 2d is the same as h(d) = -0.2d^2 + 2d because -1/5 = -0.2

I'll use x in place of d, and y in place of h(d) to get this equivalent equation: y = -0.2x^2 + 2x

Let's find the vertex of y = -0.2x^2 + 2x

Note how y = -0.2x^2 + 2x is in the form y = ax^2+bx+c with

a = -0.2

b = 2

c = 0

So the x coordinate of the vertex is

h = -b/(2a)

h = -2/(2(-0.2))

h = 5

Plug this value into the h(d) function to compute the corresponding y coordinate

h(d) = -0.2d^2 + 2d

h(5) = -0.2(5)^2 + 2(5)

h(5) = 5

Coincidentally, the x and y coordinates of the vertex are both the same. This wont be the case in general.

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

Answers:

The vertex is located at (5,5)

The interpretation is that the highest the dolphin can get is 5 feet off the surface of the water and this occurs 5 horizontal feet away from the starting point. Imagine a parabola that opens downward to have a highest point at the vertex mentioned.

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

Part B

From part A above, we found x = 5 to be the x coordinate of the vertex. Simply double this value to get 10 as the answer. The reason why this works is because x = 0 is the starting x intercept, or the starting point which the dolphin jumps from. Also, its because of the hint given how the vertex is between each x intercept.

If the dolphin started from any other point on the x axis, then this trick of "double the result from part A" wouldn't apply.

Part C below shows that x = 0 and x = 10 are the two x intercepts. This helps confirm the proper range.

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

Answer: 10 feet

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

Part C

h(d) = y = height of dolphin

we want to find the two x values that make y = 0, which help us figure out when the dolphin jumps out of the water and when it lands back in the water

--------

Plug y = 0 into the equation y = -0.2x^2 + 2x and solve for x

y = -0.2x^2 + 2x

-0.2x^2 + 2x = y

-0.2x^2 + 2x = 0

x(-0.2x + 2) = 0 .... factor out x

x = 0 or -0.2x + 2 = 0 .... zero product property

x = 0 or -0.2x = -2

x = 0 or x = -2/(-0.2)

x = 0 or x = 10

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

Answer:

The two x intercepts are x = 0 and x = 10

This means the parabola crosses the x axis at the locations (0,0) and (10,0).

Answer:

$7,500.00

Step-by-step explanation:

The Realtor commission will be 5% of $150,000.00

(5% * $150,000)/100% = $7,500.00

The realtor makes a 5% commission on a $150,000 house, which equates to a commission of $7,500 by multiplying the sale price by the commission rate (0.05).

To calculate the amount of commission a realtor earns on a house sale, you simply multiply the sale price of the house by the commission rate. In this case, the realtor makes a 5% commission on a $150,000 house sale. We calculate the commission as follows:

Therefore, the realtor will earn a commission of $7,500 for selling the $150,000 house.

if a line is perpendicular to another line with slope m, the perpendicular line's slope is always -1/m. Since the slope of the given line is -4, the perpendicular slope would be 1/4 (-1/-4 = 1/4). Our line right now is y = (1/4)x + b. Now substitute the given point in for x and y to solve b. In this case b = -1, so your line would be  y = (1/4)x + -1.

Answer:

24

Step-by-step explanation:

in this, the blank is 'y'. I filled the x with -8

)(−8)−(−8−40)=(2)(−8)−(y−8)

Step 1: Simplify both sides of the equation.

(10)(−8)−(−8−40)=(2)(−8)−(y−8)

(10)(−8)+−1(−8−40)=(2)(−8)+−1(y−8)(Distribute the Negative Sign)

(10)(−8)+(−1)(−8)+(−1)(−40)=(2)(−8)+−1y+(−1)(−8)

(10)(−8)+8+40=(2)(−8)+−y+8

−80+8+40=−16+−y+8

(−80+8+40)=(−y)+(−16+8)(Combine Like Terms)

−32=−y+−8

−32=−y−8

Step 2: Flip the equation.

−y−8=−32

Step 3: Add 8 to both sides.

−y−8+8=−32+8

−y=−24

Step 4: Divide both sides by -1.

−y

−1

=

−24

−1

y=24

Answer:

y=24

Answer: –1.8x – 4.5

Step-by-step explanation:

The guy above me obviously doesn’t know how to do this so here this is the correct answer

Answer:

–1.8x – 4.5

Step-by-step explanation:

Answer:

(8, -2)

Step-by-step explanation:

(8, 2) becomes (8. -2)

Answer:

(8 -2)

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

plug in 4 any instance you see "x"

f(x) = 3x - 1​

f(4) = 3(4) - 1 = 11

Functions are mappings who map inputs to at max one corresponding outputs. The value of function at x=4 is: [tex]f(4) = 11[/tex]

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For given case, we have:

[tex]f(x) = 3x - 1[/tex]

Taking x = 4, we get:

[tex]f(4) = 3(4) - 1 = 3 \times 4 - 1 = 12 - 1\\f(4) = 11[/tex]

Thus, The value of function at x=4 is: f(4) = 11

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Answer:

what' you should do to stay healthy is eat vegetables and fruits grains and anything else you know is good for you and you should also drink water everyday. what you shouldn't do to stay healthy is basically eat junk food and drink soda also eat lots of candy but eating healthy is much better

Answer:

Staying healthy physically can help you stay healthy emotionally too. If you're eating the right food and keeping fit, your body will be strong and help you to cope with stress and also fight illness. Eating well and exercising often when you're a teenager will also help you stay in good health later in life.

Step-by-step explanation:

Answer:

d)  Mr.Wallace can use the following equations:

    a + b = 9

   2 a + 3 b = 23

Step-by-step explanation:

Here, the total number of students = 23

Number of groups = 9

Each group can have 2 or 3 students.

a is the number of  groups of 2.

⇒ Total students in a groups  = a x (Number of  student in each group)

= a x 2 = 2 a

b is the number of groups of 3

⇒ Total students in b groups  = b x (Number of  student in each group)

= b x 3 = 3 b

So, according to the question:

Total number of groups formed = 9

⇒ a + b = 9

Total number of students  = 23

or Number of students in  ( a  group + b group ) = 23

⇒ 2 a + 3 b = 23

Hence, Mr.Wallace can use the following equations:

a + b = 9

2 a + 3 b = 23

Answer:

Below.

Step-by-step explanation:

No - because the length of any one side must not be equal or greater than the sum of the other 2 sides.

Here 7 = 3 + 4 so they can't form a triangle.

Answer:

no

Step-by-step explanation:

as 3+4 = 7 and the sum of the first 2 sides is supposed to be greater than the third side and 7 is the sum of the first 2 side and the third side is also 7

Answer:

(3 + 4x)(9 - 12x + 16x²) = 0

(4m - 1)(16m² + 4m + 1) = 0

Step-by-step explanation:

Here we have to solve the sum of two cubes which is [tex]27 + 64x^{3}[/tex]

Now, the equation is [tex]27 + 64x^{3} = 0[/tex]

⇒ 3³ + (4x)³ = 0

⇒ (3 + 4x)[3² - 3(4x) + (4x)²] = 0

⇒ (3 + 4x)(9 - 12x + 16x²) = 0

So, (3 + 4x) = 0 or (9 - 12x + 16x²) = 0

Therefore, from the above two relation we can solve for x.

One root will be [tex]- \frac{3}{4}[/tex] and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  

Again, we have to solve the difference of two cubes which is [tex]64m^{3} - 1[/tex]

Now, the equation is [tex]64m^{3} - 1 = 0[/tex]

⇒ (4m)³ - 1³ = 0

⇒ (4m - 1)[(4m)² + 4m(1) + 1²] = 0

⇒ (4m - 1)(16m² + 4m + 1) = 0

So, (4m - 1) = 0 or (16m² + 4m + 1) = 0

Therefore, from the above two relation we can solve for m.

One root will be [tex] \frac{1}{4}[/tex] and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  (Answer)

Answer:

x=-3, y=5. (-3, 5).

Step-by-step explanation:

y=x+8

x+y=2

----------

x+x+8=2

2x+8=2

2x=2-8

2x=-6

x=-6/2

x=-3

y=-3+8=5

Answer:

(-3,5)

Step-by-step explanation:

Answer:

S₈ = 296

Step-by-step explanation:

Given: 2 + 12 + 22 + 32 + .... + (10n - 8) = [tex]$5n^2 - 3n $[/tex]

To prove [tex]$ S_8 $[/tex] is true, substitute [tex]$ n = 8 $[/tex] and compare LHS and RHS

n = 8:

[tex]10n - 8 = 10(8) - 8[/tex]

[tex]$ \implies 72 $[/tex]

[tex]$ \therefore LHS = 2 + 12 + 22 + 32 + 42 + 52 + 62 + 72 $[/tex]

[tex]$ = 296 $[/tex]

Now, Substituting n = 8 in RHS, we get:

[tex]$ 5n^2 - 3n = 5(8)^2 - 3(8) = 5(64) - 24 $[/tex]

[tex]$ = 296 $[/tex]

Therefore, RHS  = 296

We see, LHS = RHS

Hence, we can conclude that [tex]$ S_8 $[/tex] is correct.

Answer:

40 games

Step-by-step explanation:

Here we need to find a number, x, such as 32 is the 80% of x. In this case x is our 100%.

So, if our x number is the correct it must be that the following ratios are equivalent:

100%/80% = x/32 if 32 is the 80% of x

Lets drop the % sign for simplicity:

100/80 = x/32

Now, multiply both sides by 32 to eliminate the 32 on the right side:

(100/80)*32 = (x/32)*32

100*32/80 = x

3200/80 =x

320/8 = x

40 = x

So 32 is the 80% of 40.

32 games is the 80% of 40 games.

Answer: 40

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

$45 x 5 = 225

$225 + $10 = $235

Answer:

They will need $10 more dollars

Step-by-step explanation:

So 45 times 5 is 225 so what that means is that for each week they raised 45 dollars multiply that by 5 weeks and they made $224 dollars then subtract that from 235 so (235-225=10)

They will need $10 more dollars

Answer:

2/3

Step-by-step explanation:

Cancel the common factor 2 = 2/3

In the equation y=40+6x, 40 represents the initial number of comic books in Joylin's collection, given to her by her uncle. Over time, she gains additional comic books from monthly subscriptions.

In the provided equation, y=40+6x, the number 40 represents the initial amount of comic books Joylin has before the monthly subscriptions start. This is essentially the number of comic books Joylin's uncle gave her to start her collection. The number 6 represents the number of books she receives monthly from the subscriptions. Therefore, 'x' months after receiving the initial batch of comic books, Joylin has 40 + 6x comic books in her collection.

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