Answer:
(-1, -13) is the correct answer
B. Find f(2) for each of the following:
1. f(x) = 3x - 1
2.f(x) = x(to the power of two) - 1
Step-by-step explanation:
[tex]1) \\ f(x) = 3x - 1 \\ f(2) = 3(2) - 1 = 5 \\ 2) \\f(x) = {x}^{2} - 1 \\ f(2) = {2}^{2} - 1 = 3[/tex]
Alyson earned $40 in commission from her sales. How much did she sell if her commission rate is 15%?
Answer:
$266.67 (Verified) ✅Step-by-step explanation:
Let the merchandise she sold = x
Her commission is 15% of that, so 15% of x or 0.15x
We know her commission was $40, so 0.15x = $40
0.15x = $40
Divide by 0.15
x = $266.67
We can check our answer by substituting $266.67 back into the equation.
0.15(266.67) = 40
40 = 40 ✅
Alyson sold $266.67 worth of merchandise.
What’s the value of x?
Answer:
6*15 = 5(x+5)
90 = 5x + 25
65 = 5x
x = 13
Step-by-step explanation:
I've gone ahead and labeled some points.
There is a formula that says PA*PB = PC*PD, this is what you use. If you would like me to show why this works I would be happy to.
So what we have is PA = 6, PB = 9+6 = 15, PC = 5 PD = 5+x so let;s writ ethe formula with these values
6*15 = 5(x+5)
90 = 5x + 25
65 = 5x
x = 13
EDIT: Here is the explanation for the formula
If you form triangles PCB and PAD you can find angle D and angle B are the same, because they are inscribed angles that intersect the same arc of the circle. Also angle P is the same on both triangles since they are the same angle, so this means both triangles are similar.
This means DA is similar to BC, AP is similar to CP and PD is similar to PB. Similar sides means if you can multiply one side by a number to get to its similar side, then you can multiply all sides by that value to get all sides of that similar triangle.
This also means if you divide one side by its similar side you get the scale value, so this means if you do it to two different sets of similar sides you get the same number
[tex]\frac{PA}{PC}=\frac{PD}{PB}\\PA*PB = PC*PD[/tex]
What is the value of X?
Answer: 75
Step-by-step explanation:
Are natural numbers, whole numbers and integers also rational numbers
Answer:
yes they are rational
Step-by-step explanation:
in mathematics rule numbers that are positive are usually in rational form❤
What is the length, in units, of segment CD?
5.50
12.25
8
14
Answer:
d
Step-by-step explanation:
The answer is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
Jenny earned 100 of a possible 144 points on a test. She lost 2 points for each incorrect answer. How
many incorrect answers did she have?
The equation is
There are
incorrect answers.
Answer: She had 22 incorrect answers
Step-by-step explanation: You divide 44 by 2.
Which system of linear equations has a solution of (2, 3)?
Answer:
i don't know
Step-by-step explanation:
what is a median in a dot plot
Answer:
the median is the middle set of data.
Step-by-step explanation:
8. Jill bought a soda for $3 and eight candy bars. She spent a total of $43.
Answer:$5.00
Step-by-step explanation:
Let c = the cost of each candy bar
3 + 8c = 43
8c = 40
c = $5.00
Answer:
each candy bar costs 5 dollars
Step-by-step explanation:
43-3=50 and 40÷8=5
sarah needed 1 by 3 cup of flour to make 1 apple pie. I if she made 9 apple pies, how many cups of flour sarah need?
Answer:
1/3 times 9 so just do that math and there's your answer ;)
Answer: do the math kid 1/3 times 9 theres your answer
Step-by-step explanation:
Please help! The question and answer choices are attached.
Answer:
A
Step-by-step explanation:
We want to find the equation of the line in slope-intercept form.
From the graph, we are given the two points (-5, 1) and (0, -3).
We can find the slope between them. The slope formula is given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We will let (-5, 1) be (x₁, y₁) and (0, -3) be (x₂, y₂). Substitute:
[tex]\displaystyle m=\frac{(-3)-(1)}{(0)-(-5)}[/tex]
And evaluate:
[tex]\displaystyle m=\frac{-4}{5}=-\frac{4}{5}[/tex]
Next, notice that the point (0, -3) is already the y-intercept, so we do not need to find it.
Slope-intercept form is given by:
[tex]\displaystyle y=mx+b[/tex]
Therefore, our equation is:
[tex]\displaystyle y=-\frac{4}{5}x-3[/tex]
Our answer is A.
Tameka borrowed $300 to buy a digital music player she will pay the money back in 1 year at 5%simple interest how much money will tameka pay in interest
Answer:
$15 in interest
Step-by-step explanation:
sorry if it is wrong. I found 5% of 300 which is 15.
$15 money will tameka pay in interest.
What is interest?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
Here, we have,
formula: I = Prt.
here, we get,
given that,
Tameka borrowed $300 to buy a digital music player she will pay the money back in 1 year at 5%simple interest.
P=$300
r=5%
t=1year
so, I =$300*5%*1
=$15
Hence, $15 money will tameka pay in interest.
To learn more on interest click:
brainly.com/question/29335425
#SPJ5
Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student tickets. Which expression matches the situation?
A. 9(3) + 5(4)
B. 3(5) + 9(4)
C. (5+9) + (3+4)
D. 47
A
Because of 3 adults bought 3 tickets, 9 x 3. 9(3)
4 students bought 4 tickets, 4 x 5, 4(3)
How long is the blue line in inches? Enter your final answer as a simplified fraction.
Answer:
0/12
Step-by-step explanation:
Answer:
13/15
Step-by-step explanation:
1/3 HB=T solve for B
Answer:
yes I agree B=3t/h
Step-by-step explanation:
hope this helps :)
A black mamba snake crawls along the ground at a rate of 10 miles per hour. Convertthis rate to kilometers per hour. (1 mile = 1.6 kilometer) (You must use a unit multiplier!)
Answer:
dcelfijiwq
Step-by-step explanation:
ddnwjw s20 x 60w qlk _
Answer: 16
Step-by-step explanation: If 1 mile is 1.6 km 10 times 1.6 is 16.
a cone is a solid made from a disc, a point not in the same plane as the discs and all points between them. true or flase?
Answer:
False.
Step-by-step explanation:
A cone is not a solid made from a disc, a point not in the same plane as the discs and all points between them.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Answer: true
Step-by-step explanation:
4 + (-7) -10x + 5x.
Answer:
-3-5x
Step-by-step explanation:
4+(-7)-10x+5x
4-7-10x+5x
Answer:
−5−3
Step-by-step explanation:
Simplify
Subtract the numbers
4−7−10+5
−3−10+5
Combine like terms
−3−10+5
−3−5
Rearrange terms
−3−5
−5−3
Solution
−5−3
A fair coin is tossed three times. What are all the possible outcomes? How many
total outcomes are possible
Answer:
2 outcomes
Step-by-step explanation:
the coin only has 2 sides so you can flip it 1000 times and you could only get 2 outcomes, unless it lands straight up and down
(7^3)^-5
Please help! :)
(5x+5)(2x-3) someone please help
Step-by-step explanation:
hope this helps you
,..............
Answer:
(5x + 5) ( 2x - 3)
5x (2x-3) +5(2x-3)
10x^2 - 15x + 10x -15
10x^2 -5x -15
CAN SOMEONE HELP ME ASAP PLS I NEED TO SOLVE FOR DE
Answer:
c
Step-by-step explanation:
How can you determine the number of solutions of a system of linear equations by inspecting its equations?
Step-by-step explanation:
To find - How can you determine the number of solutions of a system
of linear equations by inspecting its equations?
Proof -
There exists three types of solution for a system of linear equations.
1. No solution.
2. Unique solution.
3. Infinite many solutions.
Now,
Let the 2 linear equations are as follows :
y = ax + b
y = cx + d
1. For no solution -
a = c and b ≠d
For example-
y = -2x + 5
y = -2x - 1
Subtract first equation from second , we get
y - y = -2x - 1 - ( -2x + 5)
⇒0 = -2x - 1 + 2x - 5
⇒0 = -6
Not possible
So, There exist no solution.
2. For unique solution -
a ≠ c and b , d can be any value
For example -
If b and d are same ,
y = 2x - 4
y = -3x - 4
Subtract equation 1st from 2nd , we get
y - y = -3x - 4 - ( 2x - 4)
⇒0 = -3x - 4 - 2x + 4
⇒0 = -5x
⇒x = 0
⇒y = 2(0) - 4 = -4
∴ we get
x = 0, y = -4
If b and d are different
y = 2x - 4
y = -3x + 5
Subtract equation 1st from second
y - y = -3x + 5 - 2x + 4
⇒0 = -5x + 9
⇒-5x = -9
⇒x = [tex]\frac{9}{5}[/tex]
⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]
∴ we get
x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]
3. Infinitely many solution -
a = c and b = d
For example -
y = -4x + 1
y = -4x + 1
Subtract equation first from equation second
y - y = -4x + 1 - ( -4x + 1)
⇒0 = -4x + 1 + 4x - 1
⇒0 = 0
Satisfied
So, Infinite many solution possible.
How likely is it that the spinner will land on a green space?
Answer:
1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
3) The cost of a movie ticket and a candy bar is $5. The cost of 2 tickets
and a candy bar is $8.75. How much is a candy bar? *
Answer:
$1.25
Step-by-step explanation:
Given data
let the movie ticket be x and the candy bar be y
x+y= 5-------------1
also
2x+y= 8.75--------2
solve 1 and 2
x+y= 5
2x+y= 8.75
from 1
x= 5-y
put this inplace of x in 2
2(5-y)+y=8.75
10-2y+y= 8.75
10-y= 8.75
10-8.75=y
y= 1.25
Hence candy bar is $1.25
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
B.
Step-by-step explanation:
The product of 0.014 and 100,000 is
_ ...
because the decimal point in 0.014 moves
_ ...
places to the right.
Answer:
5
Step-by-step explanation:
In the case when we multiplied 0.014 by 100,000 so it comes
= 0.014 × 100,000
= 1,400
Since The value 0.014 were times by 5 zeros.
Therefore the decimal point would move 5 places to the right
The United States Congress contains 435 representatives and 100 senators. You want to make groups that each have the same number of representatives and senators. What is the greatest number of groups you can make?
Answer:
5
Step-by-step explanation:
The greatest common factor of 435 and 100 is 5, so if you make 5 groups, each group will have 87 representatives and 20 senators.
What the answer to this question 8 (x+5)