Identify the terms, coefficients, and constants in the expression 3x+10.

Answer:

a(n) = 12 * (13)^(n-1)

Step-by-step explanation:

First step is to determine what's the scale/multiplication factor between each term:

156 / 12 = 13

2028 / 156 = 13

So, since we got 13 between 1st, 2nd and 3rd term, we can be confident it's the right multiplication factor.

an would be the first term (12) multiplied by a factor of 13. So,

[tex]an = 12 * (13)^{n-1}[/tex]

If we try for n > 1, we have

a(2) = 12 * (13)^(2-1) = 12 * 13 = 156

a(3) = 12 * (13)^(3-1) = 12 * 13² = 12 * 169 = 2028

It matches!

Answer:

Step-by-step explanation:

(f•g)(x) = f(g(x)) = f(1/x) = 1/x +7

20 children can get a serving of popcorn

Since each serving is 1/4 of a cup, each cup can provide for 4 children. Since there are 5 total cups, multiplying 5 by 4 will give you 20.

The answer is 20 because first you have to set up a division equation. It would be 5 divided by 1/4.You can’t divid with a fraction so you must change it into a multiplication sentence. The new equation would now be 5 times 4/1 and the answer would be 20. Therefore, Ms.Chloe can freed 20 children.

Answer:

74

Step-by-step explanation:

52+22 = 74 this is the expression

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

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

We need to find the correct difference.

Collect the like terms together.

5d^2+4d-3-(2d^2-3d+4)\\\\=5d^2+4d-3-2d^2+3d-4\\\\=5d^2-2d^2+4d+3d-3-4\\\\=3d^2+7d-7

Hence, First option is correct

Answer:

1st one :)

Step-by-step explanation:

ANSWER

P(n)=2n-125

EXPLANATION

Profit equals selling price minus cost price.

P(n)=R(n)-C(n)

The cost price is given by the function;

C(n)= 2n + 125

The selling price is represented by the function:

R(n)=4n

The function that represents the profit function is :

P(n)=4n-(2n+125)

Expand

P(n)=4n-2n-125

Simplify:

P(n)=2n-125

Answer:P = 2n – 125

Step-by-step explanation: Ur welcome <3

Answer:

4 packages of fruits, 5 packages of chocolate

Step-by-step explanation:

We need to find the lowest common multiple of 12 and 15.

12 is ( 2 * 2 * 3) and 15 is (5 * 3).

The lowest common multiple would be three.

Then we can multiply 12 by 5 and 15 by 2 * 2.

The are both equal to 60.

Then we divide:

60 / 15 = 4, which is the amount of packages for the fruits

60/ 12 = 5, the packages of chocolates.

IF THIS WAS NOT THE ANSWER YOU WERE LOOKING FOR, PLEASE COMMENT.

To find the smallest number of packages needed to have the same amount of both fruit and chocolate pastries, calculate the LCM of 15 and 12, which is 60. Thus, one needs 4 fruit pastry packages and 5 chocolate pastry packages.

The student's question relates to finding the least common multiple (LCM) of two numbers, in this case, the number of pastries in each package. Mrs. Patterson's bakery sells fruit pastries in packages of 15, and chocolate pastries come in packages of 12. To find how many of each type of package one needs to buy to get the same number of both types of pastries, we need to calculate the LCM of 15 and 12.

The LCM of 15 and 12 is 60. This means the smallest number of fruit pastry packages (of 15) needed is 60 / 15, which equals 4. Similarly, the smallest number of chocolate pastry packages (of 12) needed is 60 / 12, which equals 5. Therefore, the person would need to buy 4 fruit pastry packages and 5 chocolate pastry packages to have an equal number of pastries.

Answer:

w = 21.4 ft

Step-by-step explanation:

Area of Trapezoid = Area = (a+b)/2 * h

Where a and b are the bases of trapezoid, and h is the height.

In the figure we are given:

a= 32.3 ft

b=w=?

h= 22.9 ft

Area = 614.865 ft²

Putting values in formula

Area = (a+b)/2 * h

614.865 = (32.3 + w) / 2 * 22.9

1229.73 = 32.3 + w * 22.9

1229.73 / 22.9 = 32.3 +w

53.7 -32.3 = w

=> w = 21.4 ft

Answer:

a=63.75

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer: a = -250

Step-by-step explanation:

1. Solve the left side: 0.5a + 0.5a = a

2. Subtract 0.9a to the other side which gives: a - 0.9a = -25

3. Solve the left side again: 0.1a = -25

4. Divide 0.1a to the right side to isolate a: a = -25/0.1

5. Now divide -25 / 0.1 to get a = -250

Answer:

The solution is incorrect and the equation has 1 solution

Step-by-step explanation:

Malia subtracted 6 instead of dividing by 6.

correct solution:

6x=48

x=48/6

x=8

You need to multiply the amount she makes per hour by the number of hours (t) she works.

The equation would be y = 16.8t

Answer:

Final answer is  [tex]a_0=-9[/tex]

Step-by-step explanation:

Given equation is [tex]5-a_0=14[/tex]

Now we need to solve the given equation [tex]5-a_0=14[/tex] for the unknownd variable  [tex]a_0[/tex] .

We can do that by isolating [tex]a_0[/tex]

To isolate [tex]a_0[/tex], let's subtract 5 from both sides

[tex]5-a_0-5=14-5[/tex]

[tex]-a_0=9[/tex]

multiply both sides by -1

[tex]-a_0(-1)=9(-1)[/tex]

[tex]a_0=-9[/tex]

Hence final answer is  [tex]a_0=-9[/tex]

Answer:

[tex] {3}^{7} \times \frac{1}{ {3}^{4} } [/tex]

this is the answer to question one

3:1:2 = 90:30:60

and the answer to the second one

Answer: The answer to the cube one is 13 times 13 which gives u 169 and one of those is red so the ratio is 1 red cube to 168 black cubes or 1:168

Answer:

The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

and

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the smaller cube

y ----> the perimeter of the larger cube

[tex]z=\frac{x}{y}[/tex]

in this problem we have

[tex]z=\frac{2}{5}[/tex] ----> scale factor

substitute

[tex]\frac{x}{y}=\frac{2}{5}[/tex]

Answer:

X=20. Our x coordinate is 20.

Step-by-step explanation:

Based from the given slope of 1/2 and a y-intercept of -6, our equation of a line is y=x/2 -6. To remove the fraction we can multiply the equation by 2 to get 2y=x-12. Using this substitute the value of y coordinate 4.

2(4)= x-12

8+12 =x

X=20.

Answer:

20

Step-by-step explanation:

since the line has a slope of 1/2, the x coefficient of the line is 1/2. Since the y intercept is -6, we have the equation of the line

x/2 - 6 = y

Since in this case y = 4, we have

x/2 - 6 = 4

x/2      = 10

x          = 20

So the x coordinate is 20 when the y coordinate is 4.

Hope it helps and if it does, please mark me brainliest...

B. 15m, 20m, 25m

use pythagorean theorem

a²+b²=c²

225+400=625

the square root of 625 is 25

Answer:

1/3

Step-by-step explanation:

There are 2 u's in August and there are 6 total letters if you divide 2/6. you get 1/3

The probability of selecting a 'u' is 1/3.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

The letters in the word August are placed into a bag.

There are two 'u' in the word August.

And the total letters are 6.

So, the probability of selecting one u,

= 2 / 6

= 1 / 3

Therefore, 1/3 is the probability.

To learn more about the probability;

brainly.com/question/11234923

#SPJ6

D. is the answer.

your welcome hunty

Answer:

Step-by-step explanation:

Actually, none of the posted possible answers is correct.  The slope of the horizontal line is zero, whereas the slope of the given equation is 8.  There is no number which, when multiplied by 0, results in a non-zero product.

However, if we are ADDING instead of multiplying, then the correct number is 8, because 0 + 8 = 8.

Answer:

- 2 and 10 with the difference with each other is 8 and the sum is twelve

Step-by-step explanation:

PLLZZZ MARK AS BRAINLIEST PLZZZZZ

Answer:

a)26,31,36

Step-by-step explanation:

add by 5

26, 31, 36  next three terms in the sequence.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.

Given

a = 6

d = 11-6 = 5

aₙ = a + (n-1)d

n = 5, 6, 7

a₅ = 6 + (5-1)5

a₅ = 6 +20 = 26

a₆ = 6 + (6-1)5

a₆ = 6 +25 = 31

a₇ = 6 + (7-1)5

a₇ = 6 +30 = 36

To know more about arithmetic progression refer to :

https://brainly.com/question/6561461

#SPJ2

Answer:

12xy^2z^2

Step-by-step explanation:

The GCG or greatest common factor is the greatest value of number or expression which will divide into both expressions. Here 24 and 36 are both divisible by 12. Both also have the variables xy^2z^2. This means the GCG is 12xy^2z^2.

u just divide 4,632 by 20,000

Answer:

-15368

Step-by-step explanation:

Answer:

f(x) reflect over the x-axis, vertically stretch by a factor 3, and

shift down 1 unit ⇒ 2nd answer

Step-by-step explanation:

* To solve this problem you must to know some fact about

  transformation

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

- A vertical stretching is the stretching of the graph away from

 the x-axis

• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically

 stretched by multiplying each of its y-coordinates by k.

- A vertical compression is the squeezing of the graph toward

 the x-axis.

• if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed

 by multiplying each of its y-coordinates by k.

• if k should be negative, the vertical stretch or compress is

 followed by a reflection across the x-axis.  

* Now lets solve the problem

- From the graph

∵ The line passes through the points (0 , -1) and (-1 , 2)

∴ The slope of the line = (2 - -1)/(-1 - 0) = 3/-1 = -3

∵ The graph intersect the y-axis at point (0 , -1)

∵ The equation of any line ⇒ y = mx + c , where m is the slope

   of the line and c is the y-intercept

∵ m = -3 and y-intercept = -1

∴ y = -3x - 1 ⇒ g(x) = -3x - 1

∵ f(x) = x

* From all the transformation above

# -3x means the graph reflected over the x-axis, vertically stretch

  by a factor 3

# -1 means shift down 1 unit

# g(x) = -3f(x) - 1

∴ f(x) reflect over the x-axis, vertically stretch by a factor 3, and

  shift down 1 unit

* The second answer

Answer:

[tex]f(x)=\frac{1}{4}x-4[/tex]

Step-by-step explanation:

To find the equation of a linear function , we pick two points from the graph

LEts pick two points (0,-4) and (4,-3)

Equation of linear function is [tex]f(x)=mx+b[/tex]

where m is the slope and b is the y intercept

[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]

(0,-4) is (x1,y1) and (4,-3) is (x2,y2)

[tex]slope m= \frac{y_2-y_1}{x_2-x_1}=\frac{-3+4}{4-0} =\frac{1}{4}[/tex]

y intercept is the point where the graph crosses y axis

y intercept [tex]b=-4[/tex]

Linear function becomes

[tex]f(x)=\frac{1}{4}x-4[/tex]

The answer will be 48 is the area if the square

The answer is 16, good luck

Maybe 2??? tell me if right.

Answer:

B. 1

Step-by-step explanation:

Your answer for A is correct.

The time it take for the sub to hit the water will be the time between when the submarine started to get lowered and when its distance from the water was zero.

The sub started to get lowered at x = 0.

Now we need to solve for the smallest positive zero of the function.

This function factors to (x - 1)(x - 7)

From this we can tell that the submarine is a water level for time x = 1 and x = 7.

The smallest of these is 1, so that is when the submarine first hit the water and 7 is when it came back out.

The sub started getting lowered at x = 0 and hit the water at x = 1 and because x is in seconds, it took 1 second for the sub to hit the water.

Answer:

[tex](x+3)^2 + (y-4)^2 = 1[/tex]

Step-by-step explanation:

Equation of a circle can be found by

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

Given center 3,-4 i.e

a= 3 and b=-4

and radius r = 1

Putting the values of a,b and r in the equation we get:

[tex](x-(-3))^2 + (y-4)^2 =(1)^2\\(x+3)^2 + (y-4)^2 = 1[/tex]

[tex]\text{Hey there!}[/tex]

[tex]\text{Evaluate:\ }\bf{4x^3+4x}\text{ if x = 3}[/tex]

[tex]\text{If we know what the x-value is then replace the x with 3}[/tex]

[tex]\bf{4(3)^3+4(3)}[/tex]

[tex]\bf{4(3)^3+12}[/tex]

[tex]\text{4 = 4}[/tex]

[tex]\bf{3^3=27}[/tex]

[tex]\text{4(3) = 12}[/tex]

[tex]\text{4(27) + 12}[/tex]

[tex]\text{4(12)=108}[/tex]

[tex]\text{108 + 12 = 120}[/tex]

[tex]\boxed{\boxed{\text{Answer: 120}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]