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3 years ago

Evaluate the expression 2x + 2 starting at 5, ending at 20, and stepping by 5. You

Mathematics

1 answer:

kiruha [24]3 years ago

6 0

Answer:

X _____Y

5_____12

10____22

15____32

20___ 42

Step-by-step explanation:

Given the expression ; 2x + 2 with X starting at 5 and ending at 20;

X _____Y

5___ 2(5) + 2 = 10 + 2 = 12

10__ 2(10) + 2 = 20 + 2 = 22

15 __ 2(15) + 2 = 30 + 2 = 32

20__ 2(20) + 2 = 40 + 2 = 42

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The horizontal line segment at the top of the polygon on the grid below is how many units long?

Ymorist [56]

Answer:

6 units long.

Step-by-step explanation:

Given:

A polygon drawn on a graph.

In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.

Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.

Coordinates of A are $(x_1,y_1)=(-3, 4)$ as seen in the graph.

Coordinates of B are $(x_2,y_2)=( 3, 4)$ as seen in the graph.

Now, distance formula for two points $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d_{AB}=\sqrt{(3-(-3))^2+(4-4)^2}\\d_{AB}=\sqrt{(3+3)^2+0}\\d_{AB}=\sqrt{36}=6\ units$

Therefore, the horizontal line at the top is 6 units long.

4 0

3 years ago

What is the solution to this equation? 4x+x-15+3-8x=13

Ierofanga [76]

Answer:

x = -25/3

Step-by-step explanation:

The equation simplifies to -3x - 25 = 0, so

-3x = 25 =>

x = -25/3

7 0

2 years ago

Jane has saved $48 of her allowance money to buy books. If she buys 6 books at "d" dollars per book, she will have $48 -6d of he

sveticcg [70]

Answer:

She would have $33 left.

Step-by-step explanation:

First input the $2.50 into the "d" variable and multiply 6 by 2.50.

48−(6)(2.5)

Then, subtract 48 by 15.

48−15

Finally, you have your answer.

8 0

2 years ago

write a polynomial fuction f of least degree that has rational coefficients, a leading coefficient of 1, and the zeroes of 6,-3,

Amanda [17]

Answer:

$f(x)=x^3-7x^2-6x+72$

Step-by-step explanation:

$f(x)=a(x-p)(x-q)(x-r)\\\\f(x)=1(x-6)(x+3)(x-4)\\\\f(x)=(x^2-3x-18)(x-4)\\\\f(x)=x^3-4x^2-3x^2+12x-18x+72\\\\f(x)=x^3-7x^2-6x+72$

This is because $x=6$ is the solution to $x-6=0$ , $x=-3$ is the solution to $x+3=0$ , and $x=4$ is the solution to $x-4=0$ .

3 0

2 years ago

Which is the unknown quantity?<br> 8 2/3 yards/ $148.50 = 2 1/3 yards/ ?

xeze [42]

Answer: C. $39.98

Step-by-step explanation:

We have the following equation with mixed fractions:

$\frac{8\frac{2}{3}yards}{\$148.50}=\frac{2\frac{1}{3}yards}{?}$ (1)

A mixed fraction is the combination of an integer and a fraction, and to convert it into an improper fraction and be able to solve the equation more easily, we must do the following:

Mixed fraction: $a\frac{b}{c}$