Solve the following equation. Then place the correct number in the box provided.
3x=12

Answer:

For points :  (2, 12) and (6, 11)

, option A. is correct.

For points : (6, –1) and (–3, –1), option B. is correct

Step-by-step explanation:

We are given points in both the questions and we need to find the slope.

Slope refers to steepness of curve .It is basically change in y with change in x.

For two points [tex]P\left ( x_1,y_1 \right )\,,\,Q\left ( x_2,y_2 \right )[/tex], slope of line PQ is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

For points : (2, 12) and (6, 11)

Let [tex]P\left ( x_1,y_1 \right )=(2, 12)\,,\,Q\left ( x_2,y_2 \right )=(6, 11)[/tex],

Slope is [tex]\frac{11-12}{6-2}=\frac{-1}{4}[/tex] i.e, - 1 over 4

So, option A. is correct.

For points : (6, –1) and (–3, –1)

Let [tex]P\left ( x_1,y_1 \right )=(6, -1)\,,\,Q\left ( x_2,y_2 \right )=(-3, -1)[/tex]

Slope is [tex]\frac{-1+1}{-3-6}=\frac{0}{-9}=0[/tex]

So, option B. is correct

The required slope of the lines with the given coordinates are as follow,

For first line option A. -1/4

For second line option B.0.

For the first set of coordinates of the line,

Points  are (2, 12) and (6, 11)

let (x₁ , y₁ ) = (2, 12 )

( x₂ , y₂ ) = (6, 11 )

Slope of the line for the two coordinates (x₁ , y₁ ) = (2, 12 ) and

( x₂ , y₂ ) = (6, 11 ) is equal to

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value ,

m = ( 11 - 12 ) / ( 6 - 2 )

   = -1 / 4

For the second set of coordinates of the line,

Points  are (6, -1) and (-3, -1)

let (x₁ , y₁ ) = (6, -1 )

( x₂ , y₂ ) = (-3, -1 )

Slope of the line for the two coordinates (x₁ , y₁ ) = (6, -1 ) and

( x₂ , y₂ ) = (-3, -1 ) is equal to

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value ,

m = ( -1 - (-1) ) / ( -3 - 6 )

   =0 / -9

   = 0

Therefore, slope of the lines are option A. -1/4 and option B.0.

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Answer:

[tex]2^3(2^4)=2^{3+4}=2^7=2(2)(2)(2)(2)(2)(2)[/tex]

Step-by-step explanation:

You can write 2 as a factor of [tex]2^3 \times 2^4[/tex] 7 times

The given expression can be written mathematically as:

[tex]2^3 \times 2^4[/tex]

We can simplify the expression by using the rule of indices shown below:

[tex]a^b \times a^b = a^{b+c}[/tex]

Applying the rule above to the given expression:

[tex]2^3 \times 2^4\\\\2^{3+4}\\\\2^7[/tex]

Therefore [tex]2^3 \times 2^4 = 2^7[/tex]

You can write 2 as a factor of [tex]2^3 \times 2^4[/tex] 7 times

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Answer:

x = 10

Step-by-step explanation:

collect like terms, so add 5 to both sides: 2x = 20

divide both sides by 2 to get the value of x: x = 10

Answer:

x=10

Step-by-step explanation:

first, add 5 to both sides. the -5 and +5 cancel out, and 15 + 6 is 20. 2x=20. now divide 2 on both sides. the 2s cancel out and 20/2 is 10, so x=10.

[tex]\huge\boxed{\text{A.}\ x=-3}[/tex]

Start by subtracting [tex]2x[/tex] from both sides of the equation. Our goal is to isolate the variable. [tex]5+4x=-7[/tex]

Now, subtract [tex]5[/tex] on both sides. [tex]4x=-12[/tex]

Finally, divide both sides by [tex]4[/tex]. [tex]x=\boxed{-3}[/tex]

Answer:

A. x = -3

Step-by-step explanation:

5 + 6x = 2x - 7

5 + 7 = 2x - 6x

12 = -4x

12/-4 = x

-3 = x

First, 12.6 times 9 is 113.4. So withouth the space, that is how long the busses are. Then you do 2meters times 8 is 16 meters between the busses. 113.4+16 equals 129.4, the final answer.

Answer:  The total length from the front of the first bus to the end of the last bus is 129.4 meters.

Step-by-step explanation:

Hi, to answer this question we have to multiply:

The number of buses by the length of each one

The number of spaces between buses by the length of each space.

Since there is no space in front of the first bus and behind the last bus, there are 8 spaces in between.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

a = 7/2

Step-by-step explanation:

2x - y - 5 = 0

2x = y + 5

y = 2x - 5

m = -1/2

y - 5 = -1/2(x - (-2))

y - 5 = -1/2(x + 2)

y - 5 = -x/2 - 1

y = -x/2 + 4

a = -1/2 + 4

a = 7/2

Answer:

240 liters

Step-by-step explanation:

because the tank holds 240 liters so if it's full then it will be the same

In the tank, there are 240 liters of water, as mentioned in the given condition. Option A is correct.

Given that

A tank holds 240 liters of water.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
As mentioned in the condition the tank can hold 240 liters of water, so as of the given data when the tank is full there can only be 240 liters of water.

Thus, In the tank, there are 240 liters of water, as mentioned in the given condition. Option A is correct.

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Answer:

d=1/2

Step-by-step explanation:

9(8d-5)+13=12d-2

1) Use the distributive property:

72d-45+13=12d-2

2) Combine alike terms:

72d-32=12d-2

3) Add 32 to both sides:

72d=12d+30

4) Subtract 12d on both sides:

60d=30

5) Divide both sides by 60:

d=30/60

6) Simplify 30/60 to 1/2

The equation that represents the number of miles covered in time t will be n = 50t.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

you are traveling on a bus to camp, which is 200 miles away, at 50 mph. The number of miles, n, that you have left to travel after t hours. Then the equation will be

50 = n / t

n = 50t

The equation that represents the number of miles covered in time t will be n = 50t.

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Answer:

5x^2 − 2x

Step-by-step explanation:

Let's simplify step-by-step.

=3x + 6x^2 + − 5x + − x^2

Combine Like Terms:

=3x + 6x^2 + − 5x + − x^2

=( 6x^2 + − x^2 ) + ( 3x + − 5x )

= 5x^2 + − 2x

Answer:

5x^2 − 2x

hope this helps!!

Answer:

1/9

Step-by-step explanation:

multiple the two top numbers then multiple the bottom numbers which equals 2/18 and in other forms is 1/9

88.6 as a mixed number is 14 2/3

Answer:

A sentence that has  or is conveying  a question.

Step-by-step explanation:

Answer:

Step-by-step explanation:

sentence that asks a question.

Answer:

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

Given 5/12 and 4/7

we see that a common denominator for both fractions could be 12 x 7 = 84, hence we can express both fractions with a denominator of 84

5/12 = (5/12) x (7/7) =  35/84

4/7 = (4/7) x (12/12) = 48/84

now comparing 35/84 and 48/84, we can see that 48/84 is larger, which corresponds to 4/7, hence 4/7 is larger

Answer:

60 cm

Step-by-step explanation:

Parallelogram ABCD is shown in attached diagram. The diagonals of the parallelogram bisect each other, so

AE = EC

BE = ED

Ib DE = 3y + 6 cm, BE = 5y - 10 cm, then

[tex]3y+6=5y-10\\ \\3y-5y=-10-6\\ \\-2y=-16\\ \\2y=16\\ \\y=8\ cm[/tex]

Now, EC = 2y + 4, so

[tex]EC=2\cdot 8+4=16+4=20\ cm[/tex]

Since AE = EC, then AE = 20 cm

The brace that connects points B and D has the length

[tex]BD=BE+ED=3y+6+5y-10=8y-4=8\cdot 8-4=64-4=60\ cm[/tex]

The brace that connects points A and C has the length

[tex]AC=AE+EC=20+20=40\ cm[/tex]

Answer:

60cm

Step-by-step explanation:

To solve the system of equations y = 2x - 5 and y = x² - 5, use algebraic methods such as factoring or the quadratic formula to find the x-values. Then plug these values back into one of the original equations to find the corresponding y-values. The solutions to the system of equations are (5, 5) and (-2, -9).

To solve the system of equations y = 2x - 5 and y = x² - 5, we can set the two equations equal to each other since they both equal y. This gives us the quadratic equation x² - 2x - 10 = 0. We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula.

Factoring the quadratic equation, we get (x - 5)(x + 2) = 0. This means that x - 5 = 0 or x + 2 = 0. Solving these two equations gives us x = 5 or x = -2. Substituting these values back into either of the original equations, we can find the corresponding y-values. For x = 5, y = 2(5) - 5 = 5. For x = -2, y = 2(-2) - 5 = -9. Therefore, the solutions to the system of equations are (5, 5) and (-2, -9).

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Answer:

35,000^10

Step-by-step explanation:

multiply 7,000 and 50 first (350,000) then erase the last 0 (35,000) then raise it to 10 (35,000^10)

Answer:

7,497.50 OR, 7,497 &1/2 in fraction form

Step-by-step explanation:

I got this answer by dividing 14,995 by 2 and got $7,497.50 hope this helps you mark as brailiest if best answer if any questions comment on this question below!! ThNks !!

Answer:

7,497.50

Step-by-step explanation:

Answer:

25.

Step-by-step explanation:

2/3 of 300 is 200

1/4 of 300 is 75

Answer:

25

Step-by-step explanation:

2/3 of 300 is 200  

1/4 of 300 is 75

Answer:

-12

Step-by-step explanation:

3(x-4)+2x^2

when x =5 , sub 5 into x

3(5-4)+2(5)-(5)^2

=15-12+10-25

=-12

Answer:

Step-by-step explanation:

3(x-4)+2x-x^2 first you should eliminate the parentheses

3x-12+2x-x^2 now replace x for 5

3(5)-12+2(5)-(5)^2

15-12+10-25

-12

Answer: [tex]\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}[/tex]

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

[tex]a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0[/tex]

Where:

- The coefficients are integers.

- [tex]a_n[/tex] is the leading coeffcient ([tex]a_n\neq 0[/tex])

- [tex]a_0[/tex] is the constant term [tex]a_0\neq 0[/tex]

Every rational root of the polynomial is in the form:

[tex]\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}[/tex]

For the case of the given polynomial:

[tex]2x^7+3x^5-9x^2+6=0[/tex]

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

 Then, by Rational Roots Test we get the possible rational roots of this polynomial:

[tex]\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}[/tex]

The possible rational roots of the polynomial equation [tex]0 = 2x^7 + 3x^5 - 9x^2 + 6.[/tex] are ±1, ±2, ±3, ±6, ±1/2, ±1, ±3/2, and ±3.

Given equation [tex]0 = 2x^7 + 3x^5 - 9x^2 + 6[/tex].

The Rational Root Theorem states that if there are any rational roots (fractions in the form p/q) for the polynomial equation, then p must be a factor of the constant term (in this case, 6), and q must be a factor of the leading coefficient (in this case, 2).

So, the possible rational roots (fractions p/q) for this polynomial are all the combinations of p and q, where:

p is a factor of 6, and

q is a factor of 2.

The factors of 6 are ±1, ±2, ±3, and ±6.

The factors of 2 are ±1 and ±2.

So, the possible rational roots are all the combinations of these factors:

±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, and ±6/2.

Simplify these fractions:

±1, ±2, ±3, ±6, ±1/2, ±1, ±3/2, and ±3.

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Answer:

number of servings = 5 servings

Explanation:

We are given that each serving is 3/10 of a pint. To know the number of servings of 1.5 pints, we will simply use cross multiplication as follows:

1 serving ....................> 3/10 pint

?? servings ................> 1.5 pints

number of servings = (1.5*1) / (3/10)

number of servings = 5 servings

Hope this helps :)

Answer:

11/2-3/4

11-6/2=5/2

Step-by-step explanation:

The other number could be 6. The GCF of 6 and 24 is 6, and 6 is less than 30.

Answer:

it will take 80 minutes

Step-by-step explanation:

Total no.of rows=10

Time taken to plant 3 rows = 24 min

So,find time taken for planting 1 row

which is =24/3=8min

total time taken to plant 10 rows=8×10=80min

so it takes 80 min to plant 10 rows

It takes 8 minutes to plant one row of the garden and therefore to plant all 10 rows, it will take a total of 80 minutes.

This question is asking for the total time it would take to plant a garden with 10 rows of vegetables if it took 24 minutes to plant the first 3 rows. First, we need to understand how long it takes to plant one row. To find this out, we divide the total amount of time (24 minutes) by the number of rows planted in that time (3 rows). This gives us how long it takes to plant one row: 24 minutes ÷ 3 rows = 8 minutes per row. Now that we know this, we can work out how long it would take to plant all 10 rows. We do this by multiplying the time it takes to plant one row (8 minutes) by the total number of rows we need to plant (10 rows). This gives us the total time: 8 minutes per row x 10 rows = 80 minutes. So, it would take 80 minutes to plant all 10 rows of the garden.

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-615

I'm assuming you meant this. (6*7) - (3^2) *(9+4^3)

(42) - (3^2) * (9+4^3)

(42) - (9) * (9+4^3)

(42) - (9) * (9+64)

(42) - (9) * (73)

42 - 657

-615

Hope this helps!

Answer:

x = - 3 is extraneous

Step-by-step explanation:

Given

[tex]\sqrt{x+7}[/tex] - 1 = x  ( add 1 to both sides )

[tex]\sqrt{x+7}[/tex] = x + 1 ( square both sides )

x + 7 = (x + 1)² ← distribute right side

x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )

0 = x² + x - 6 ← in standard form

0 = (x + 3)(x - 2) ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 3 : [tex]\sqrt{-3+7}[/tex] - 1 = [tex]\sqrt{4}[/tex] - 1 = 2 - 1 = 1 ≠ - 3

x = 2 : [tex]\sqrt{2+7}[/tex] - 1  = [tex]\sqrt{9}[/tex] - 1 = 3 - 1 = 2

x = 2 is a solution and x = - 3 is extraneous

Good morning ☕️

____________________

Step-by-step explanation:

Look at the photo below for the answer.

:)

Answer:

The right answer is [tex]\frac{2}{9}[/tex].

Step-by-step explanation:

To multiply two fractions we multiply numerator by numerator and denominator by denominator. In this case:

[tex]\frac{-1}{4} x\frac{-8}{9} = \frac{8}{36}[/tex]

Notice that both numerator and denominator are divisible by 4. Dividing both by 4 we get [tex]\frac{8}{36} = \frac{2}{9}[/tex]  

Answer:

8ft.

Step-by-step explanation: If you are finding he area, 2 times 4 equals 8, so the answer would be 8 feet.

Answer:

Step-by-step explanation:

Answer:

the new height will be:

d.168 inches

Answer:

168 inches

Step-by-step explanation: