Write the point slope form of the equation with the given characteristics:
Slope = 1/2; x intercept = 3

Answer:

6p

Step-by-step explanation:

9p - 3p needs to have the like terms combined. 9 - 3 is 6, and since you have to keep the p, the answer is 6p.

Answer:

Step-by-step explanation:

[tex]81p^8-100=(9p^4)^2-10^2\]\]=(9p^4+10)(9p^4-10)\]\[=((3p^2)^2-(\sqrt{10} )^2])\]\\=(3p^2+\sqrt{10} )(3p^2-\sqrt{10} )\\[/tex]

Step-by-step explanation:

Evaluate:

-[-1⅘ ÷ 0.3(1.2)] - 5/6

⇛-[- 20/5 ÷ 0.3(1.2)]-5/6

⇛- [-20/5 ÷ 0.36] - 5/6

⇛-[-20/5 ÷ 36/100] - 5/6

Here I have changed in expression decimal point into fraction by putting 100 in Denominator.

⇛-[-20/5 × 100/36] - 5/6

⇛-[(-20 × 100)/(5×36)] - 5/6

⇛-[-2000/180]-5/6

Remember (-) × (-) = +.

⇛2000/180 - 5/6

Now, LCM of the denominator 6 and 180 is 180.

⇛(2000 - 150)/180

⇛1850/180

Now, reduce the fraction by extracting and cancaling out by 2.

⇛825/80

Again reduce the fraction by extracting and cancaling out by 5.

⇛165/16 Ans.

Hope this helps!!

Answer:

Step-by-step explanation:

the lengths of the line segments

Answer:

Second Choice

Step-by-step explanation:

The vertex form can be expressed as:

[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]

We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:

[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]

Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.

[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]

Therefore a = 2.

Hence:-

[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]

Answer:

Step-by-step explanation:

Given:

a. compounded semiannually, n = 2

b. compounded quarterly, n = 4

c. compounded monthly, n = 12

d. compounded continuously

A number is divisible by another number if the quotient is a counting number and the remainder is 0.

Answer:

m/4

Step-by-step explanation:

Answer:

[tex]x+2y-z=5 ...(1)\\ -x-y+2z=-13...(2) \\ 2x+y-2z=14...(3) \\ \\ add \: (2) + (3) \\\boxed{x= 1} \\ 2 \times (1) + (2) \\ x + 3y = - 3 \\ 1 + 3y = - 3 \\ 3y = - 4 \\ \boxed{y = - \frac{4}{3} }\\ solve \: for \: z \\ x + 2y - z = 5 \\ 1-\frac{4}{3}(2)-z=5\\3-8-3z=15\\3z=-20\\\boxed{z = - \frac{20}{3} }[/tex]

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Work Shown:

We have this set of data

[tex]\begin{tabular}{|l|l|}\textbf{game} & \textbf{goals}\\ 1 & 5 \\ 2 & 6 \\ 3 & 6\\ 4 & x \end{tabular}[/tex]

where x is some positive whole number. Add up everything in the second column:

5+6+6+x = x+17

This represents the total number of goals made over the four games.

Divide this over the number of games played (4) and set that equal to the mean of 6. Solve for x.

(x+17)/4 = 6

x+17 = 4*6

x+17 = 24

x = 24-17

x = 7

7 goals were scored in the fourth game.

Answer:

D. 5i

Step-by-step explanation:

edge 2021

Answer:

[tex]\frac{29}{35}[/tex] Is correct answer

Step-by-step explanation:

Step 1: We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 2 by 7, and get 14, then we multiply 5 by 7 and get 35.

Now for the second term. You multiply 3 by 5, and get 15, then multiply 5 by 7 and get 35.

Step 2: Since our denominators match, we can add the numerators.

14 + 15 = 29

That gives us an answer of = [tex]\frac{29}{35}[/tex]

In pic

(Hope this helps can I pls have brainlist (crown)☺️