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3 years ago

I NEED ANSWER ASAP/ WILL GET 20 PTS

Mathematics

1 answer:

ki77a [65]3 years ago

4 0

Answer: A. (-8,-3)

Step-by-step explanation:

Original formula is f(x)=|x-h|+k, the vertex is (h,k), so a positive h in the formula would turn out negative in the vertex.

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You buy $16 worth of food at a restaurant. The sales tax is 5.75% and you wish to tip 10%. What is the bill after tax, how much

Mila [183]

Sales tax on food = total cost of food x sales tax = $16 x 5.75% = $0.92
Bill after tax = total cost of food + sales tax on food = $16 + $0.92 = $16.92
Tip owned = total cost of food x tip in percent = $16 x 0.1 = $1.60

Total bill = bill after tax + tip owed = $16.92 + $1.60 = $18.52

4 0

4 years ago

I need help on this logarithmic equation I need it solved step by step * It asks to solve it in terms of x. *

Rashid [163]

To solve the function in terms of x:

$\log _{4^x}2^a=3$

find the power of the subscripts of the log

$\begin{gathered} \log _{4^x}2^a=3 \\ \log _{2^{2x}}2^a=3 \\ \frac{a}{2x}\log _22=3 \\ \text{where }\log _22=1 \\ \frac{a}{2x}=3 \end{gathered}$

cross multiply the expression

$\begin{gathered} \frac{a}{2x}=3 \\ a=3(2x) \\ a=6x \end{gathered}$

Therefore the correct answer of a = 6x

3 0

1 year ago

Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

jok3333 [9.3K]

Answer:

$\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{1}{2}$ and the point $(-2, 4)$ .

Substitute:

$y-4=\dfrac{1}{2}(x-(-2))$

$y-4=\dfrac{1}{2}(x+2)$ - point-slope form

Convert to the slope-intercept form (y = mx + b):

$y-4=\dfrac{1}{2}(x+2)$ <em> use the distributive property</em>

$y-4=\dfrac{1}{2}x+1$ <em>add 4 to both sides</em>

$y=\dfrac{1}{2}x+5$ - slope-intercept form

3 0

3 years ago

PLEASE HELP! WILL MARK BRAINLIEST!!

adoni [48]

Answer:

41.04 meters

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. The initial position is given by A. The tree is denoted as C and the fence post is denoted as B. Since the use of sine rule will complicate the question, it will be easier to solve this question using the cosine rule. Therefore, cosine rule will be used to calculate the length of BC. The cosine rule is:

BC^2 = AB^2 + AC^2 - 2*AB*AC*cos(BAC).

The question specifies that AC = 70 meters, BAC = 25°, and AB = 35 meters. Plugging in the values:

BC^2 = 35^2 + 70^2 - 2(35)(70)*cos(25°).

Simplifying gives:

BC^2 = 1684.091844.

Taking square root on the both sides gives BC = 41.04 meters (rounded to two decimal places).

Therefore, the distance between the point on the tree to the point on the fence post is 41.04 meters!!!

6 0

4 years ago

Help please, look at picture for question

alexgriva [62]

Answer:

whats the title of the page ill find the answers to thw whole sheet n and while your at it do you know Why was Kor surprised that Groening embraced her???

Step-by-step explanation:

8 0

3 years ago