x=4 is a solution to the equation
2
= x - 8
True
O False

Answer:

Number of candy received by each kid, [tex]x=\frac{104}{8}=23[/tex]

Step-by-step explanation:

Let x be the pieces of candy each  kid will receive.

Total number of candy left with Carleen = 104

Number of kids for which she is distributing = 8

Number of candy received by each kid, [tex]x=\frac{104}{8}=23[/tex]

23 pieces of candy each kid will receive.​

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

According to the question,

The pieces of candy each  kid will receive will be x

Total number of candy left with Carleen = 104

The number of kids for which she is distributing = 8

The equation will be

[tex]x =\frac{104}{8}[/tex]

[tex]x = 23[/tex]

Here , the number of candies receive by each kid will be 23.

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Answer:

t = w/(11+r)

Step-by-step explanation:

To solve for t, we need to divide anything that t is multiplied to to get it on the other side of the equal sign.

w = t(11+r)

w/(11+r) = t

Answer:

t = w/(r + 11)

Step-by-step explanation:

Solve for t:

w = t (r + 11)

w = (r + 11) t is equivalent to (r + 11) t = w:

t (r + 11) = w

Divide both sides by r + 11:

Answer: t = w/(r + 11)

Answer:

B. [tex] 4 \times 10^{12} [/tex]

Step-by-step explanation:

[tex] (6 \times 10^{8}) \div (1.5 \times 10^{-4}) = [/tex]

[tex] = \dfrac{6 \times 10^{8}}{1.5 \times 10^{-4}} [/tex]

[tex] = \dfrac{6}{1.5} \times \dfrac{10^{8}}{10^{-4}} [/tex]

[tex] = 4 \times 10^{8 - (-4)} [/tex]

[tex] = 4 \times 10^{12} [/tex]

Answer:

15/2 or 7.5

Step-by-step explanation:

cos(60)=1/2

so 15(1/2)=15/2 or 7.5

For this case we must evaluate the following expression:

[tex]15 * cos (60)[/tex]

By definition we have that the cosine of 60 degrees is [tex]\frac {1} {2}.[/tex] Then, substituting in the expression we have:

[tex]15 * \frac {1} {2} = \frac {15} {2} = 7.5[/tex]

So, we have:

[tex]15 * cos (60) = 7.5[/tex]

Answer:

[tex]15 * cos (60) = 7.5[/tex]

Answer:

Step-by-step explanation: 26+2c=312

Now we solve for c.

Subtract 26 on both sides giving 2c=286

So c=143

This is the equation in numbers translated (n is a number)

26 + 2n = 312

We have to find what the number (n) is. This means we must isolate n. To do this you must subtract 26 to both sides

26 - 26 + 2n = 312 - 26

0 + 2n = 286

2n = 286

To further isolate n you must divide 2 to both sides

2n/2 =286/2

n = 143

Check:

26 + 143*2 = 312

26 + 286 = 312

312 = 312

The number is 143

Hope this helped!

~Just a girl in love with Shawn Mendes

ANSWER

The correct answer is B

EXPLANATION

The given sum is

[tex] \sqrt{ {x}^{2} {y}^{3} } + 2 \sqrt{ {x}^{3} {y}^{4} } + xy \sqrt{y} [/tex]

We need to remove the perfect squares.

[tex]\sqrt{ {x}^{2} \times {y}^{2} \times y } + 2 \sqrt{ {x}^{2} \times ( {y}^{2})^{2} \times x } + xy \sqrt{y} [/tex]

Let us split the radical sign for the factors to get;

[tex]\sqrt{ {x}^{2}} \times \sqrt{ {y}^{2}} \times \sqrt{y} + 2 \sqrt{ {x}^{2} } \times \sqrt{( {y}^{2})^{2}} \times \sqrt{x} + xy \sqrt{y} [/tex]

This simplifies to

[tex]xy \sqrt{y} + 2x {y}^{2} \sqrt{x} + xy \sqrt{y} [/tex]

Group similar terms to get:

[tex]xy\sqrt{y} + xy \sqrt{y} + 2x {y}^{2} \sqrt{x} [/tex]

Combine the similar terms to get:

[tex]2xy\sqrt{y} + 2x {y}^{2} \sqrt{x} [/tex]

The correct answer is B.

Answer:

It’s a

Step-by-step explanation:

Answer:

It's A: 4.8 lb

Step-by-step explanation:

Answer:  x = 2, y = 2

Step-by-step explanation:

[tex]y=x^2-3x+4\\x + y = 4\quad \implies y=4-x\\\\\underline{\text{Substitute y (in the first equation) with 4 - x:}}\\4-x=(4-x)^2-3(4-x)+4\\\\\underline{\text{Expand and distribute right-hand side:}}\\4-x=16-8x+x^2-12+3x+4\\\\\underline{\text{Simplify right-hand side:}}\\4-x=8-5x+x^2\\\\\underline{\text{Set left-hand side equal to zero (subtract 4 and add x):}}\\0=4-4x+x^2\quad \implies 0=x^2-4x+4\\\\\underline{\text{Factor and solve for x:}}\\0=(x-2)(x-2)\\0=x-2\\2=x[/tex]

Replace x with 2 in the second equation to solve for y:

x + y = 4

2 + y = 4

     y = 2

Answer:

[tex]x=\frac{5+\sqrt{41}}{4}[/tex] and [tex]x=\frac{5-\sqrt{41}}{4}[/tex]

Step-by-step explanation:

[tex]2x^2-5x+1=3[/tex]

To solve for x, we make right hand side 0

Subtract 3 from both sides

Given equation becomes

[tex]2x^2-5x-2=0[/tex]

We apply quadratic formula to solve for x

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

a=2, b=-5, c=-2

[tex]x=\frac{5+-\sqrt{5^2-4(2)(-2)}}{2(2)}[/tex]

[tex]x=\frac{5+-\sqrt{41}}{4}[/tex]

[tex]x=\frac{5+\sqrt{41}}{4}[/tex] and [tex]x=\frac{5-\sqrt{41}}{4}[/tex]

Answer: grade 7

Step-by-step explanation:

Grade 7: 20/22 students in club

Grade 8: 20/28 students in club

Grade 7 has higher % of students in science club

Answer:

Grade 7

Step-by-step explanation:

The relative row frequency of members of the Science Club is: Member of Science Club / Total

in Grade 7: 20/22 = 0.91.

And in Grade 8 is: 20/28 = 0.71.

Then, students of Grade 7 are more likely to be members of the science club.

[tex]\left(\dfrac{g}{f}\right)(x)=\dfrac{x^2-6}{3x+1}[/tex]

Answer:

b.

Step-by-step explanation:

Answer:

Hole 6,7,5 is the order

Step-by-step explanation:

Final answer:

To order the holes from least to greatest typical number of strokes per player based on the dot plots, count the number of dots for each hole and arrange the holes in increasing order.

Explanation:

To order the holes from least to greatest typical number of strokes per player, we need to look at the dot plots and determine the number of players represented by each dot. We can then count the number of dots for each hole and arrange the holes in increasing order based on the number of players. The hole with the least number of strokes per player would have the fewest dots, while the hole with the greatest number of strokes per player would have the most dots.

Let's say the dot plots show the following:

Based on the number of dots per hole, the order from least to greatest typical number of strokes per player would be:

Check the picture below.

By using a right triangle rectangle, we will see that the distance is equal to 3 miles.

You can think of the distance as the hypotenuse of a right triangle with legs that measure 1.8 miles and 2.4 miles.

Then, using the Pythagorean theorem we can write:

H^2 = (1.8 mi)^2 + (2.4 mi)^2

H = √((1.8 mi)^2 + (2.4 mi)^2) = 3mi

So the distance between Callie's house and the grocery store is 3 miles.

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Answer:

it would be 7x+12y=140

The required system of equation is that can be used to find number of 7-inch plates and 12-inch plates is:

        [tex]x+y=15\\7x+12y=140[/tex]

Given information:

The plates in a kitchen cabinet = 15

The diameter of each plates is either 7 inch or 12 inch.

The diameter of all 12[tex]x+y=15[/tex] plates combined is 140 inches.

Now, for the system of equation:

According to the question:

The number of 7 inches plates is [tex]x[/tex]

The number of 12 inches plates is [tex]y[/tex]

So, by the information given in the question:

[tex]x+y=15[/tex]

Because, there are 15 plates in the cabinet we can write the above equation.

Now, the sum of diameters of all plates is 140, that is also given in the question.

Hence, we can write the second equation as:

[tex]7x+12y=140[/tex]

Hence, The required system of equation is that can be used to find number of 7-inch plates and 12-inch plates is:

[tex]x+y=15\\7x+12y=140[/tex]

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Answer:

None

Step-by-step explanation:

For there to be a correlation it  needs to either be in  a line or have equal stuff on both sides

Answer:

Option c is right

Step-by-step explanation:

Given is a scatter plot with points scattered.

We have to find from the shape the correlation coefficient

The points on the scatter plot do not support a linear correlation between the two variables.

There does not seem to be a line of fit which has minimum deviations from the line.

Hence there is no correlation is the correct answer.

From the given graph, we can say that option c is right.

Answer:

(a) Slope and y-intercept; (b) y = mx; (c) y = x + b

Step-by-step explanation:

1. Need to know

Slope and y-intercept.

You use these numbers to calculate one other point. Then you draw a straight line between the y-intercept and the other point to get the graph.

2. y-Intercept = 0

The form of the equation is y = mx + b, where b is the y-intercept.

If the intercept is zero, b = 0, and the equation has the form

y = mx

The graph is a straight line passing through the origin.

3. Slope = 1

m represents the slope. If m = 1, the equation has the form

y = x + b

If the axes are scaled equally, the graph is a straight line that crosses the y-intercept at an angle of 45°.  

Answer:

1. 53 by 58 , 222 ft

2. 321000

3.1080

4.  3.5

Step-by-step explanation:

1. 23+15+15 = 53

28+15+15= 58

53+53+58+58= 222

Answer:

-8

Step-by-step explanation:

Answer: x=8

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

Set the first factor equal to 0 and solve.

x−8=0

x−8=0

Answer:

True

Step-by-step explanation:

This is a parabola.  The coefficient of the x^2 term is -3

Since it is negative, the parabola opens downward

Answer: False

Step-by-step explanation: A-Pexw

Answer: agree

Step-by-step explanation:

5(2)=10•2=20

Answer:

disagree

Step-by-step explanation:

Given

5x² = 20 ( divide both sides by 5 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

x = 2 or x = - 2 are the solutions to the equation

Answer:

x.

Step-by-step explanation:

h(f(x) = x.

For example the inverse of  f(x) = 2x  is g(x) = x/2

f((gx)) 2 (x/2)

= 2x / 2

= x.

If h(x) is the inverse of f(x), then  the value of h(f(x)) is:

                                   x

Inverse of a function-

The inverse of  a given function is a function which reverses the action of the other function.

Also, the composition of a function and it's inverse no matter in which order they are applied always gives us the identity function.

( Identity function-- Identity function is a function which when applied to some other function always retains that function )

i.e.   If h(x) is the inverse of f(x) ; then we have:

                  [tex]h(f(x))=f(h(x))=x[/tex]

Answer:

The option that's not true is:

C) p(4) = -4

Because if you look at that graph, you can tell, p(4) = 4 not -4.

The domain of the function p(x) = [x] is not all real numbers; it excludes integer values of x where the function is discontinuous. Statement D is not true.

The function p(x) = [x], where [x] represents the greatest integer less than or equal to x (the floor function). Let's evaluate each statement:

A) p(0) = [0] = 0. This is true.

B) p(-4) = [-4] = -4. This is true.

C) p(4) = [4] = 4. This is true.

D) The domain of p(x) is all real numbers. This statement is not true. The domain of p(x) is actually all real numbers except the points where x is an integer. At those points, there are discontinuities, and the function is undefined because the floor function jumps from one integer value to the next.

So, the statement that is not true is D) The domain of p(x) is all real numbers. The correct statement is that the domain of p(x) is all real numbers except at integer values of x.

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Answer:

Last option: 3

Step-by-step explanation:

The following are some transformations for a function f(x):

1) If [tex]a(fx)[/tex] and [tex]|a|>1[/tex], then this function is stretched vertically by a factor of "a".

2) If [tex]a(fx)[/tex] and [tex]0<|a|<1[/tex], then this function is compressed vertically by a factor of "a".

Therefore, given the function [tex]f(x) = 3|x|[/tex], we can observe that the factor "a" is:

[tex]a=3[/tex]

Then:

[tex]a>1[/tex]

This means that  then this function is stretched vertically by a factor of 3.

Therefore, the scaling factor is 3.

First note that f(x) means the same thing as y. To solve for f(x) or y you need to plug in -5 for x and solve using the rules of PEMDAS

5(-5) + 40

-25 + 40

15

When x is -5 then y is 15

Hope this helped!

~Just a girl in love with Shawn Mendes

The first one. x and y only ever appear as first degree terms.

Second one, no y, third one xy isn't linear, fourth one x squared isn't linear.

Answer:

The first one: y - 2 = -5(x - 2)

Step-by-step explanation:

Answer:

g(x) = (x + 3)^2 + 5(x + 3) - 1

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  f(x) = x^2 + 5x - 1.

Shifting the graph of this function 3 units left results in

g(x) = (x + 3)^2 + 5(x + 3) - 1

The probability the spinner lands on a prime number is 4/10 or 40%

Answer:

40%

Step-by-step explanation:

Prime numbers less than 10 are 2, 3, 5, and 7.  Assuming the sections are sized equally, then four out of ten sections is 40%.