If
q
(
x
)
is a linear function, where
q
(
−
1
)
=
3
, and
q
(
3
)
=
5
, determine the slope-intercept equation for
q
(
x
)
, then find q(2).

The equation of the line is:

q(2) =


If
t
(
x
)
is a linear function, where
t
(
−
4
)
=
3
, and
t
(
4
)
=
4
, determine the slope-intercept equation for
t
(
x
)
, then find t(0).

The equation of the line is:

t(0) =

Answer:

4. 120

5. 13

6. 70

7. 115

8. 28

9. I'm not sure for this one

10. 22

11. 45

Step-by-step explanation:

If you need me to explain how I got any of these just ask :)

Answer:

OL

Step-by-step explanation:

Got it right

Answer: B , OL on edg

Step-by-step explanation:

Final answer:

The height of the septic tank is 6.5 feet.

Explanation:

To find the height of the septic tank, we need to use the formula for the volume of a rectangular prism, which is length x width x height.

Given that the volume of the tank is 234 cubic feet, the width is 4.5 feet, and the length is 8 feet, we can substitute these values into the formula and solve for the height:

234 = 8 x 4.5 x height

Dividing both sides of the equation by 36, we get:

6.5 = height

Therefore, the height of the tank is 6.5 feet.

Answer:

26m

Step-by-step explanation:

a^2+b^2=c^2

24^2+10^2=c^

576+100=c^2

676=c^2

√676=√c^2

26=c

Answer:

C)5

Step-by-step explanation:

For a 3x3 matrix [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

determinent is given by = = a(ei − fh) − b(di − fg) + c(dh − eg)

Given Matrix

[tex]\left[\begin{array}{ccc}-6&7&1\\a&-3&4\\-6&4&-3\end{array}\right][/tex]

determinent of matrix= -6((-3)(-3) − (4)(4)) − 7(a(-3) − (4)(-6)) + 1(a(4) − (-3)(-6))

-19= -6(9-16) - 7(-3a+24) +4a-18

125= 25a

125/25= 25a/25

a= 5 !

Answer:

a = 5

Step-by-step explanation:

We are given 3 x 3 matrix  and the determinant of the matrix is -19.

We need find the value of "a" in the given matrix.

[tex]\left[\begin{array}{ccc}-6&7&1\\a&-3&4\\-6&4&-3\end{array}\right][/tex]

determinant (D) = -6[(-3)(-3) − (4)(4)] − 7[a(-3) − (4)(-6)] + 1[a(4) − (-3)(-6)]

-19 = -6[9 - 16] -7[-3a +24] +1[4a - 18]

-19 = -6[-7] +21a - 168 + 4a - 18

-19 = 42 + 21a -168 + 4a - 18

Simplify the like terms, we get

-19 = 25a - 144

25a = -144 + 19

25a = 125

Dividing both sides by 25, we get

a = [tex]\frac{125}{25}[/tex]

a = 5

So the value of a is 5.

Answer:

Step-by-step explanation:

c i think

Answer:

D

Step-by-step explanation:

Calculate

9 Divided by 1/3 =

27 so your answer should be D.

I did the Test Btw!

Answer:

16

Step-by-step explanation:

one million - three thousand - four hundred - ninety eight

Answer:

y = 64

Step-by-step explanation:

Using the rule of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

[tex]log_{y}[/tex] 4 = [tex]\frac{1}3}[/tex], then

4 = [tex]y^{\frac{1}{3} }[/tex]

Cube both sides

4³ = ([tex]y^{\frac{1}{3} }[/tex])³, hence

y = 64

Answer:

2, but it can be 4 if the perpendicular line goes through the other line.

Step-by-step explanation:

Answer:

(x + 6)² + (y + 1)² = 36 + 1 + 1

Step-by-step explanation:

using the steps given, we are left with:

x² + 12x + 36 + y² + 2x + 1 = 38

we can factor each term in parentheses:

(x² + 12x + 36) + (y² + 2x + 1) = 36 + 1 + 1

lets start with x² + 12x + 36. we factor by finding 2 numbers that add up to 12 and when multiplied together get 36. the answer is 6. so we can factor:

(x + 6)²

next we factor y² + 2x + 1. the same rules apply, and this number would be 1.

(y + 1)²

we have the following:

(x + 6)² + (y + 1)² = 36 + 1 + 1

to simplify the right side, we add the terms, then square it as well to find the radius of the circle, in which the formula is (x - h)² + (y - k)² = r²

(x + 6)² + (y + 1)² = 38²

(x + 6)² + (y + 1)² = 1444

(x + 6)² + (y + 1)² = √1444

(x + 6)² + (y + 1)² = 38

this is the final form

Answer:

- The neighbor's fencing project that will cost the most is: Neighbor A.

- The neighbor's fencing project that will cost the least is: Neighbor B.

Step-by-step explanation:

To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:

[tex]Fence_A=5yards+8yards+25yards+8yards\\Fence_A=46yards[/tex]

Convert yards to feet (Remember that [tex]1yard=3feet[/tex]:

[tex]Fence_A=(46yards)(\frac{3feet}{1yard})=138feet[/tex]

You know that wood fencing is sold in 8 foot sections for $111.50, then, the number of sections for this fence will be:

[tex]sections=\frac{138feet}{8feet}=17.25[/tex]≈18

Then,  the cost for this fencing project will be:

[tex]Cost_A=\frac{(18sections)(\$111.50)}{1section}=\$2,007[/tex]

 To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:

[tex]C=2\pi r[/tex]

Where r is the radius.

In this case, the radius is:

[tex]r=\frac{30feet+10feet}{2}=20feet[/tex]

Substituting, you get:

[tex]C=Fence_B=2\pi (20feet)=125.66feet[/tex]≈126 feet

You know that the Chain link fencing costs $9.75 per linear foot, then, the cost for this fencing project will be:

[tex]Cost_B=(126)(\$9.75)=\$1,228.5[/tex]

To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:

[tex]Fence_C=16feet+58feet+16feet\\Fence_C=90feet[/tex]

Convert from feet to yards (Remember that [tex]1yard=3feet[/tex]:

[tex]Fence_A=(90feet)(\frac{1yard}{3feet})=30yards[/tex]

You know that the vinyl fencing can be purchased for $53.55 per linear yard , then, the cost for this fencing project will be:

[tex]Cost_C=(30)(\$53.55)=\$1,606.5[/tex]

Therefore, the neighbor's fencing project that will cost the most is: Neighbor A.

The neighbor's fencing project that will cost the least is: Neighbor B.

Answer:

Therefore, the neighbor's fencing project that will cost the most is: Neighbor A.

The neighbor's fencing project that will cost the least is: Neighbor B.

Step-by-step explanation:

The answer is 1 and 3/4

Final answer:

Yasmine needs 1 1/4 cups of water to make 3 3/4 servings of spaghetti sauce.

Explanation:

Yasmine uses 1/3 cup of water for 1 serving of spaghetti sauce. She plans to make 3 3/4 servings of the sauce. To find out the total amount of water she will need, we first convert 3 3/4 servings to an improper fraction which is 15/4 servings. We then multiply this by the amount of water needed for one serving (1/3 cup).

Here's the calculation:

(15/4) servings × (1/3) cup/serving = (15/4) × (1/3) = 15/12 cups

Simplify 15/12 cups to get 5/4 cups or 1 1/4 cups.

Therefore, Yasmine needs 1 1/4 cups of water for 3 3/4 servings of spaghetti sauce.

Step-by-step explanation:

"Of" means multiplication, and percent means out of 100.

25/100 × 150 = 700/100 × n

75/2 = 7n

n = 75/14

n ≈ 5.357

The number n is equal to  [tex]\frac{75}{14}[/tex] .

Percentage is a ratio of output to total that can be expressed as a fraction of 100.

We have,

According to the question,

25% of 150 = 700 % of n,

Here,

n = number

Now,

Solving,

25% of 150 = 700 % of n

i.e.

[tex]\frac{25}{100} *150=\frac{700}{100} n[/tex]

On solving we get,

[tex]\frac{75}{2} =7n[/tex]

⇒

[tex]n=\frac{75}{14}[/tex]

So, the value of n is  [tex]\frac{75}{14}[/tex],

Hence, we can say that the number n is equal to  [tex]\frac{75}{14}[/tex] .

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Answer:

The system has no solution.

Step-by-step explanation:

We have two equations:

1st:  x+4y=10

2nd: 3x+12y=20

Write the two equations in slope-intercept form:

First equation:

4y=-x+10

[tex]y=-\frac{1}{4}x+\frac{5}{2}[/tex]

Second equation:

3x+12y=20

12y=-3x+20

Divide through by 12

[tex]y=-\frac{1}{4}x+\frac{5}{3}[/tex]

The two equations have the same slope but different y-intercepts.

The two equations are parallel and will never meet.

Therefore the system has no solution.

ANSWER

x=27

EXPLANATION

The two triangles are similar so the corresponding sides are equal.

[tex] \frac{x}{x +1 8} = \frac{39}{39 + 26} [/tex]

[tex]\frac{x}{x +1 8} = \frac{39}{65} [/tex]

Cross multiply to get;

[tex]65x = 39(x + 18)[/tex]

Expand:

65x=39x+702

Group similar terms:

65x-39x=702

Simplify

26x=102

Divide both sides by 26,

x=702/26

x=27

After substituting values of x into the function f(x) = 3x, statement 'f(3) − f(1) = f(6) − f(4)' is found to be correct.

In order to determine which statement is accurate, we need to substitute the values of x into the function f(x) = 3x and perform the correct operations.
Let's examine the options:

A) This does not include any operation, so this is not a valid statement.

B) f(3)·f(1) = 9*3 = 27; f(6)·f(4) = 18*12 = 216. So this is not true.

C)  f(3) − f(1) = 9 - 3 =6; f(6) − f(4) = 18 - 12 = 6. This statement is true.

D) f(3) − f(1) = 9 - 3 = 6; f(-3) − f(-1) = -9 - (-3) = -6. So this is not true.

Therefore, the statement that must be true is 'f(3) − f(1) = f(6) − f(4)'.

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Considering the function f(x) = 3x the correct Option is C:  f(3) − f(1) = f(6) − f(4) .

Let's analyze each statement for the function f(x) = 3x to determine which one is true:

A) f(3)/f(1) = f(6)/f(4):

B) f(3)·f(1) = f(6)·f(4):

C) f(3) − f(1) = f(6) − f(4):

D) f(3) − f(1) = f(−3) − f(−1):

Therefore, the correct answer is C.

Answer:

Both the addition property of equality and the additive identity property

Step-by-step explanation:

we know that

The addition property of equality states that if the same amount is added to both sides of an equation, then the equality is still true

The additive identity property says that if you add a real number to zero or add zero to a real number, then you get the same real number back

we have

[tex]6p=5-3p[/tex]

step 1

Applying the addition property of equality adds 3p both sides

[tex]6p+3p=5-3p+3p[/tex]

step 2

Applying the additive identity property

[tex]6p+3p=5+0[/tex]

step 3

[tex]9p=5[/tex]

step 4

[tex]p=5/9[/tex]

Answer:

Both the Addition Property of Equality and the Additive Identity Property

Step-by-step explanation:

This is Because we know the The Addition Property of Equality means or defines If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. So that would show or represent the Step 1

And for Step two it is The Additive Identity Property because we know that defines : an identity element (such as 0 in the group of whole numbers under the operation of addition) that in a given mathematical system leaves unchanged any element to which it is added.

This is why the correct answer is.... "Both the Addition Property of Equality and the Additive Identity Property"

No. Inches are longer than millimeters

False, it is the other way around. You can think of cubic measurements just like regular ones. Cubic inches are larger than cubic millimeters just like inches are bigger than millimeters.

Answer:

85 student tickets and 35 adult tickets were sold.

Step-by-step explanation:

Howdy!

We know that student tickets cost $12, adult ticket cost $20 and 120 tickets were sold.

So:

$12×A + $20×B = $1,720. Where A and B are the number of student tickets and adult tickets sold, respectively.

Given that 120 tickets were sold in total, we have that:

A + B = 120

So the system of equations to be solved is the following:

$12×A + $20×B = $1,720                    (1)

A + B = 120                                          (2)

Solving for 'A' in equation (2) we get:

A = 120 - B

Substituting this value into equation (1) we get:

$12×(120 - B) + $20×B = $1,720

Solving for 'B' we have:

$12×(120 - B) + $20×B = $1,720

$1,440 - $12×B + $20×B = $1,720

$1,440 + $8×B = $1,720

$8×B = $1,720 - $1,440

$8×B = $280

B = 35 tickets.

Given that B = 35, then A = 120 - 35 = 85 tickets.

So 85 student tickets and 35 adult tickets were sold.

Answer:

Students=85

Adults=35

Step-by-step explanation:

-12s-20a=-1720

20k+20a=2400

8k=680

k=85

85+a=120

a=35

B:64————————bc 8x8 is 64

Answer:it’s D

Step-by-step explanation:

Answer: 8, 0, -12

1. This is the equation of a line y=mx +b. All you have to do it substitute your x values into the x in the equation.

y=2(6)-4

y=8

y=2(2)-4

y=0

y=2(-4)-4

y=-12

Just plug in the values for what you are given, you plug in the value for x and solve for y.

For this case we have a function of the form [tex]y = f (x)[/tex]

Where [tex]f (x) = 2x-4[/tex]

We must find the values of "and" when:

ANswer:

8,0, -12

Option C

ANSWER

A.

[tex]P(x)=6x^2 +75x +200[/tex]

EXPLANATION

The given revenue function is:

[tex]R(x)=6x^2 +100x+300[/tex]

The cost function is

[tex]C(x)=25x+100[/tex]

The profit function can be obtained by subtracting the cost function from the revenue function.

[tex]P(x)=R(x)-C(x)[/tex]

This implies that:

[tex]P(x)=6x^2 +100x+300 - (25x + 100)[/tex]

Expand the parenthesis to get:

[tex]P(x)=6x^2 +100x+300 - 25x - 100[/tex]

Group similar terms:

[tex]P(x)=6x^2 +100x - 25x - 100+300[/tex]

Combine the similar terms to get:

[tex]P(x)=6x^2 +75x +200[/tex]

The cot answer is A

Answer:

60 inches

Step-by-step explanation:

30% of 200 inches = 200 inches * 30%

30% = 0.3

Substitute: 200 inches * 0.3

Multiply: 60 inches

Answer:

d

Step-by-step explanation:

To find the volume of a cylinder you first find the area of the circle faces.

pi * r^2

Next you multiply that area by the height

The three pieces you used were pi, the radius, and the height

Answer:  The best answer—and correct answer—is:  

_________________________________________

                         →   Answer choice:  [D]:

_________________________________________

         " The volume depends on pi, the radius of the cylinder, and the height of the cylinder.​ "

_________________________________________

{Note:  Technically—and by extension—Answer choice:  [A]:

_________________________________________

         " The volume depends on the radius and the height of the cylinder ."   ;

_________________________________________

        →  is also a "true— and correct— statement" ;  since the volume "does" depend on the radius and the height of the cylinder [but not solely on these 2 (two) elements] — since

"pi" [ "π" ] must be included as well.}.

_________________________________________

Step-by-step explanation:

_________________________________________

{Note:  The statement at the beginning of this question should be written correctly— to read as follows:

_________________________________________

   " The formula for the volume of a cylinder is V = π * r² * h.  Which statement is true? "}.

_________________________________________

{Note:

in which:  "V = Volume" ;  " π = pi ";  "r = radius" ; "h = height " .} .

_________________________________________

Note that the Volume, "V" ; depends on all of the following three (3) elements:

_________________________________________

  1.  "pi" [ "π" ] ;  and:

  2.  the radius, "r" ; and:

  3.  the height, "h" .                                                                          _________________________________________

Hope that this answer—and explanation—is helpful to you.

       Wishing you well in your academic endeavors

                — and within the "Brainly" community!

_________________________________________

The markup would be $1.81 I hope this helps! : )

ok well in this specific example you are multiplying by 1000 so the answer or you are moving the decimal to the right 3 places so the answer is 3240

Answer:

Drawing a picture  = 1 and 2

Making a Table  = 5 and 8

Working Backwards  = 3 and 4

Looking for a Pattern =6 and 7

Step-by-step explanation:

Answer:

Part 18) Lines AB and CD are perpendicular

Part 19)  Lines AB and CD are parallel

Part 20) Lines AB and CD are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal each other (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Part 18) we have

[tex]A(-4,3),B(2,-12),C(10,5).D(0,1)[/tex]

step 1

Find the slope AB

substitute the given values in the formula

[tex]m=\frac{-12-3}{2+4}[/tex]

[tex]m=-\frac{15}{6}[/tex]

step 2

Find the slope CD

substitute the given values in the formula

[tex]m=\frac{1-5}{0-10}[/tex]

[tex]m=\frac{4}{10}[/tex]

[tex]m=\frac{2}{5}[/tex]

step 3

Compare the slopes

[tex]-\frac{15}{6} \neq  \frac{2}{5}[/tex] ----> the lines are not parallel

[tex]-\frac{15}{6}*\frac{2}{5}=-1[/tex] ----> the lines are perpendicular

Part 19) we have

[tex]A(2,3),B(8,-15),C(-2,2).D(-5,11)[/tex]

step 1

Find the slope AB

substitute the given values in the formula

[tex]m=\frac{-15-3}{8-2}[/tex]

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

step 2

Find the slope CD

substitute the given values in the formula

[tex]m=\frac{11-2}{-5+2}[/tex]

[tex]m=-\frac{9}{3}=-3[/tex]

step 3

Compare the slopes

[tex]-3=-3[/tex] ----> the lines are  parallel

Part 20) we have

[tex]A(5,6),B(-1,6),C(-2,-7).D(-2,-4)[/tex]

step 1

Find the slope AB

substitute the given values in the formula

[tex]m=\frac{6-6}{-1-5}[/tex]

[tex]m=\frac{0}{-6}=0[/tex]  ----> is a horizontal line  parallel to the x-axis

step 2

Find the slope CD

substitute the given values in the formula

[tex]m=\frac{-4+7}{-2+2}[/tex]

[tex]m=\frac{3}{0}[/tex]  -----> is undefined (is a vertical line, parallel to the y-axis)

step 3

Compare the slopes

The lines are perpendicular (because the x-axis and the y-axis are perpendicular)

The classification of line segments AB and CD as parallel, perpendicular, or neither depends on the slopes of the lines. If the slopes are equal, the segments are parallel; if the slopes are negative reciprocals, the segments are perpendicular. Without specific locations or further details for these segments, a definitive determination can't be made.

In order to determine if line segment AB and line segment CD are parallel, perpendicular, or neither, we must consider the slope they form when plotted on a Cartesian plane. If they have the same slope, they are parallel. If the slopes are negative reciprocals of each other, they are perpendicular. If neither of these are the case, then they are neither parallel nor perpendicular.

For example, consider line segment AB located at points A (1, 3) and B (3, 7), and line segment CD located at points C (2, 4) and D (4, 8). The slope of AB (m1) can be calculated as (7-3) / (3-1) = 2 and the slope of CD (m2) as (8-4) / (4-2) = 2. Since m1 = m2, AB is parallel to CD.

While this provides a basic approach, without specific values or further information about AB and CD, a definitive classification cannot be made.

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• P is the principal amount, $3000.00.

• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.

• t is the time involved, 8 years time periods.

• So, t is 8 year time periods.

To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:

The interest is: $1440.00