Answer:
She sold $1,711 in make-up.
Step-by-step explanation:
She sold x.
For the first $500, she gets 18% = 0.18.
For the balance(x - 500), she gets 22% = 0.22.
So her total earnings can be modeled by the following equation:
[tex]E = 0.18*500 + 0.22*(x - 500)[/tex]
[tex]E = 90 + 0.22*(x - 500)[/tex]
She made $356.42 in commission. How much did she sell in make-up?
So
[tex]356.42 = 90 + 0.22*(x - 500)[/tex]
[tex]90 + 0.22x - 110 = 356.42[/tex]
[tex]0.22x = 356.42 + 20[/tex]
[tex]x = \frac{376.42}{0.22}[/tex]
[tex]x = 1711[/tex]
She sold $1,711 in make-up.
A triangle has a base length of (2x - 4) units and a height of (x + 5) units. Write and solve a quadratic equation to determine what value of x gives the triangle an area of 44 square units
Answer:
x = -9
x = 6 BUT IT DOES NOT WORK WHEN YOU PLUG IT BACK IN
Step-by-step explanation:
Triangle area = 1/2 bh
The area is given (44)
base = 2x-4
height = x+5
44 = 1/2 (2x-4) (x+5)
Distribute
44 = 1/2 (2x^2 + 10x - 4x - 20)
44 = 1/2 (2x^2 + 6x - 20)
Take out a 2
44 = 2 * 1/2 (x^2 + 3x - 10)
44 = x^2 + 3x - 10
Subtract 44
0 = x^2 + 3x - 54
Factor the way you like and you should get
(x + 9) (x - 6)
x = -9
x = 6
If you plug them in only the -9 works.
44 = 1/2 (-22) (-4)
Answer:
x=6
Step-by-step explanation:
[tex]\frac{1}{2} (2x-4)(x+5)=44\\(x-2)(x+5)=44[/tex]
[tex]x^{2} -2x+5x-10=44\\x^{2} +3x-54=0[/tex]
[tex]x^{2} +9x-6x-54=0\\x(x+9)-6(x+9)=0\\(x+9)(x-6)=0\\x=-9(rejected),6[/tex]
side is 2×6-4=8 units
height=x+5=6+5=11 units
x=-9 is rejected because it gives negative side and negative height.
A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 7pi/12. The graph of the function does not show a phase shift. What is the equation of the cosine function described?
Fill in the blanks using values from this list: -20, -11, -9, -2, 2, 9, 11, 20, 7pi/12,12pi/7,7/24,24/7
f(x)=___cos(_____x)______
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,
A = Amplitude,
[tex]\frac{2\pi}{b}[/tex] = Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].
Let us find the value of b.
[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]
[tex]7\pi\cdot b=24\pi[/tex]
[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]
[tex]b=\frac{24}{7}[/tex]
Upon substituting our given values in general cosine function, we will get:
[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]
Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].
Easy 6th grade question please mark Brainliest and give extra points
Question The The point (0,1)
(
0
,
1
)
is reflected over the x- axis. What are the coordinates of the resulting point?
Answer:
it would be the same since its ON the x-axis ( the point does not change)
Step-by-step explanation:
21 radical sign p^-4/p^3
Answer: [tex]p^-^\frac{1}{3}[/tex]
[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]
[tex]\sqrt[21]{p^-^4^-^3}[/tex]
[tex]\sqrt[21]{p^-^7}[/tex]
[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]
[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]
[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]
solve the equation for x and enter your answer in the box below
x + 14 =27
Answer: x = 13
Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.
So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.
The +14 -14 cancels out so we're left with x on the left.
On the right, we must subtract 14 from 27 to get 13.
So we have x = 13 which is the solution to this equation.
Answer:
[tex]x = 13[/tex]
Step-by-step explanation:
[tex]x + 14 = 27 \\ x = 27 - 14 \\ x = 13[/tex]
(100 POINTS):( You will be reported if you provide an inapplicable answer)
use this function to answer the questions
f(x) = 2x^2 − 5x + 3
-Find The X intercepts of the graph
-Is the Vertex Going To Be Minimum Or Maximum? (I may be able to figure this one out)
-What is The Coordinates Of The Vertex?
-What Would You Do To Graph f(x)?
Please Explain because I want to understand it! mainly just need help with the first and then I may be able to take it from there.
Answer:
x-intercept(s):
(1,0),(3/2,0)
y-intercept(s): (0,3)
Use the formula
x=−b/2a to find the maximum and minimum.
Ans;(5/4,−1/8)
Coordinates Of The Vertex
(5/4,−1/8)
Zero (roots)
x=1,3/2
Step-by-step explanation:
what is the 15th n term of the sequence 22 18 14 10 6
Answer:
-34
Step-by-step explanation:
All you have to do is subtract by 4 until you count to 15 which then leads you to the number -34
Please help will mark brainliest!!!
How would you describe the graph of the function at interval 3? Select all that apply.
image below
Answer:
B and E
Step-by-step explanation:
In the graph, the altitude represents Y axis while time represents the X axis. we can see that at interval 1 the function is dramatically decreasing. At Interval 2 the function is constant. At interval 3 the function is increasing but I can't say definitively if the slope is positive or negative. Hope this helped!
What is 13 - 4 x = 1 - x?
Answer:
x=4
Step-by-step explanation
Answer:
x = 4
Explanation:
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Answer:
$5,368,709.12
Step-by-step explanation:
Kono Dio Da!!
Answer:
5368709.12
Step-by-step explanation:
i just did this earlier
2x² - x-6=0 resuelve
Answer:
x = -3/2 x=2
Step-by-step explanation:
2x² - x-6=0
Factor
(2x ) (x ) =0
6 = 2*3
2*-2 +3 = -1
(2x +3 ) (x -2 ) =0
2x+3 =0 x-2 =0
2x = -3 x=2
x = -3/2 x=2
HELPP MEE FASTT I HAVE LESS THAN 10 MIN
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.
Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.
Answer:
35x + 15 = 155
35x = 155 minus 15
it will take 4 months to pay off the debt.
Hope this helps. Mark brainliest please!
Answer:
35x + 15 = 155
35x = 155 - 15
It will take 4 months to pay off debt
Step-by-step explanation:
Its mental so idk but trust me <3
Imani sells shirts packed in boxes that are each 15in. x 10in. x 2in. Imani stacked 3 boxes and wrapped them with one piece of paper. How much paper did she use, not including overlap?
Answer:
She used 600 square inches of paper.
Step-by-step explanation:
Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:
surface area = 2*width*length + 2*width*height + 2*length*height
surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120
surface area = 600 in².
She used 600 square inches of paper.
WILL MARK THE BRAINLIEST!!!! What is a function?
Answer:
In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Step-by-step explanation:
Which reason best describes why you can divide any number by 10 by moving the decimal point one place to the left?
1.Dividing a number by 10 is the same as subtracting the number ten times.
2. Dividing by 10 is the same as removing a zero.
3. Moving the decimal point left makes the number smaller.
4. Moving the decimal point one place to the left makes the number 1/10 of its original value.
4 is the answer
The next best is 3
The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12
Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.
What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.
4.5
6
14
15.5
Answer:
The standard deviation from the mean is the square root of the variance.
Therefore, SD = sqrt(VAR) = sqrt(36) = 6
Hope this helps!
:)
:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.
QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.
RESULUTIONS
4.5
6
14
15.5
ANSWER.=6
Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 16 cups of coffee, the card had a $5 remaining balance. Write an equation for A(x),A(x), representing the amount money remaining on the card after buying xx cups of coffee.
Answer:
$45-$2.50xx
Step-by-step explanation:
Let first of all determine the original amount on the gift card as follows
amount utilized=$2.50*16=$40
balance left after utilizing $40=$5
original amount on the gift card=amount utilized+balance left=$40+$5=$45
if xx cups of coffee is purchased ,the amount utilized would be xx*$2.50
i.e $2.50xx
The equation for the amount left would total amount on the gift card minus the $2.50xx
equation for amount remaining =$45-$2.50xx
If the questioner has duplicated x,which means he or she meant just x
equation of the amount remaining would=$45-$2.50x
Convert 7/6 to a mixed number
7 out of 6 ymto a mixed number is
1¹/6
Simplify. 6x+3−(x+1) =
Answer:
5x +2
Step-by-step explanation:
6x+3−(x+1) =
Distribute the minus sign
6x +3 -x -1
5x +2
Answer:
[tex]5x + 2[/tex]
Step-by-step explanation:
[tex]6x + 3 - (x + 1) \\ 6x + 3 - x - 1 \\ = 5x + 2[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
determine whether the function represented by the equation is quadratic
Answer:
not quadratic because there is not a quadrat in it.
Step-by-step explanation:
The graph of a quadratic funtion is a parabola.
The general form of quadratic function is this:
f(x) = ax² + bx + c
Where a, b, and c are numbers.
Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.
In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.
how do you write 2x - 2y = 8 in slope-intercept form ?
Answer:
y=x-4
Step-by-step explanation:
The general scaffold for the slope intercept form is y=mx+b, where m is the slope and b is the y intercept. You can rearrange the equation that you are given like this:
2x-2y=8
-2y=-2x+8
y=x-4
Hope this helps!
Answer:
Rearrange the equation so that it is written in slope intercept form:
y=mx+b.
2x+2y=8.
2y=−2x+8.
y=−x+4.
Sarah is buying plants and soil for her garden! The soil Sarah wants costs $3.50 per bag, and the plants she wants are $8 each. Sarah can buy at most 20 items, as this is all she can fit in her car, and she cannot spend more than $150. Let x represents the number of bags of soil and y represents the number of plants:
Answer:
x+y ≤20
3.50 x +8 y ≤150
Step-by-step explanation:
Hi, the rest of the question is:
How do you write a system of linear inequalities to model the situation?
So, for the first inequality:
The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.
x+y ≤20
For the second inequality:
The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.
3.50 x +8 y ≤150
In conclusion, the system is:
x+y ≤20
3.50 x +8 y ≤150
i need the missing blanks .
Answer:
K, (-3.5,-5), E, (3.5, 3)
Step-by-step explanation:
Someone help me pleaseeee
Answer: x=44°
explanation: because the angles in a triangle add up to 180° and since the latter or whatever goes straight up it is 90° and the other angle is 46° so 180=90+46+x.
Subtract 90 from both sides of the = and it becomes 90=46+x.
Then you subtract 46 on both sides and you get 44=x
The probability that Shruti succeeds at any given free-throw is 80%, percent. She was curious how many free-throws she can expect to succeed in a sample of 12 free-throws.
She simulated 25 samples of 12 free-throws where each free-throw had a 0.8, point, 8 probability of being a success.
Shruti counted how many free-throws were successes in each simulated sample. Here are her results:
Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Give your answer as either a fraction or a decimal.
Answer:
0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either she makes it, or she does not. The probability of making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that Shruti succeeds at any given free-throw is 80%, percent.
This means that [tex]p = 0.8[/tex]
Sample of 12 free throws:
This means that [tex]n = 12[/tex]
Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835[/tex]
[tex]P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062[/tex]
[tex]P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687[/tex]
[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584[/tex]
0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Answer:0.8
Step-by-step explanation:in 5 of the 25 stimulated trials, scrutiny continued federal than 10 successes
Solve the following
a) 2(x+3)= x-4
b) 4(5x-2)= 2(9x+3)
two integers that multiply to 18 and add to -11
Answer:
-9 and 2
Step-by-step explanation:
Find the smallest number to be Find the smallest number to be added to 2345 to get the nearest perfect square.
Answer:
48^2 =2304 < 2345 < 2401 = 49^2
=> Smallest number should be: 2401 - 2345 = 56
Hope this helps!
:)
Answer:
56
Step-by-step explanation:
sqrt(2345) = 48.425...
Nearest integer is 49
So, the nearest perfect is 49²
49² = 2401
To be added:
2401 - 2345
56
You roll a die 30 times. The table shows the results. Find the experimental probability of rolling each number. Write each probability as a fraction in simplest form. For which number is the experimental probability of rolling the number the same as the theoretical probability?
Answer:
i need this answer too someone please answer lol
