Answer:
-40
Step-by-step explanation:
Given function: f(x) = 2x - 2
f(5) means: substitute x = 5 into the function:
⇒ f(5) = 2(5) - 2
⇒ f(5) = 10 - 2
⇒ f(5) = 8
Given function: g(x) = -2x + 1
g(3) means: substitute x = 3 into the function:
⇒ g(3) = -2(3) + 1
⇒ g(3) = -6 + 1
⇒ g(3) = -5
Therefore,
f(5) · g(3) = 8 · -5 = -40
f(5):-
[tex]\\ \rm\rightarrowtail 2(5)-2[/tex]
[tex]\\ \rm\rightarrowtail 10-2[/tex]
[tex]\\ \rm\rightarrowtail 8[/tex]
g(3)
[tex]\\ \rm\rightarrowtail -2(3)+1[/tex]
[tex]\\ \rm\rightarrowtail -6+1[/tex]
[tex]\\ \rm\rightarrowtail -5[/tex]
So
f(5)g(3)=8(-5)=-405. The area of a rectangle is 4 1/5
inches. If the length is 2 inches,
what is the length.
Answer:
If you mean width then...
Step-by-step explanation:
4.2=4 1/5
4.2/2=2.1
Answer: w=2.1
check:
l*w=A, 2*2.1=4.2
Determine the correct set up for: log x + log (x-9) = 18
Answer:
log ( x(x-9)) = 18
Step-by-step explanation:
We know that log a + log b = log ( a* b)
log x + log (x-9) = 18
log ( x* (x-9)) = 18
log ( x(x-9)) = 18
1 point
James carries a balance on his credit card each month. Today is the first
day of the new, 30-day billing cycle. The current balance is $x and the APR
is 30%. James is buying his father a gift that costs $1,500 that he plans to
put on his credit card. This will be his only purchase this month, and he will
be making this purchase on the first day of the billing cycle. If his finance
charge will be $60, what is the current balance on his credit card *
James's current balance on his credit card is $900.
This amount represents the card's balance before the current charge of $1,500 and the finance charge of $60.
What is a credit card balance?A credit card balance is the amount of the charges made on a credit card, including the finance charges, and therefore, owed to a credit card company.
Data and Calculations:Current current balance = $x
APR (Annual Percentage Rate) of interest = 30%
Monthly APR = 2.5% (30%/12)
Current purchase for the month = $1,500
Finance charge for the month = $60
Finance charge for the current purchase = $37.50 ($1,500 x 2.5%)
Finance charge for the current balance = $22.50 ($60 - $37.50)
The current balance that attracts the finance charge of $22.50 will be $900 ($22.50/2.5%).
Alternatively:
Since the monthly APR is 2.5% and the finance charge is $60 for the month, the balance at the end of the month is $2,400 ($60/2.5%).
Thus, the current balance on James' credit card is $900 ($2,400 - $1,500) while the end-of-the-month balance is $2,460 ($900 + $1,500 + $60).
Learn more about credit card balance at https://brainly.com/question/6872962
When a = 5 and b = - 3, the value of (a-b)/(a +b) is
Answer: 4
Step-by-step explanation: first plug the points into the equation
(5+3)/(5-3)
you switch the negative to a positive in the first part of the equation because 2 negatives equal a positive
Now, (5+3)/(5-3)= (8)/(2)
Finally 8/2=4
hope this helps
Answer:
8,-2
Step-by-step explanation:
Solve cos theta=- sqrt (3)/2 on [0, 2pi) Write the first solution or lowest on [0, 2pi) . Round to the nearest hundredth .
Answer:
2.62 radians
Step-by-step explanation:
The angle is found from its cosine using the inverse cosine function.
cos(θ) = (-√3)/2
θ = arccos((-√3)/2) = 5π/6 ≈ 2.62 . . . radians
Ya'll FR get 25 points if you answer this question.
_________________________________________________________
Knowing that correlation coefficients have values between -1 and 1 and that the closer the value is to -1 or 1, the stronger the correlation -- which of the following correlation coefficients would represent the strongest correlation?
0.02
0.87
-0.5
-0.97
Yes we need that value which is equidistant from -1 and 1 both.
It simply means we need the average or mean.So the answer is -1/2=-0.5
If f(x) = 9x - 8 and g(x) = x°, what is (gºf)(1)?
Enter the correct answer
Answer: (x°)° * (9x-8)*1
Step-by-step explanation: With the given functions, we can simplify this easily. g(x) = x°, so then multiplying the two functions together, is easy since they are simple equations. You get (x°)° * (9x-8) * 1 (since 1 was apart of the g function equation)
anyone?? pls help.........
Answer
C
Area of a circle is pi r to the power of 2.
so the radius is 6
so pi(6)^2= 36pi
The height of a hill, h(x), in a painting can be written as
a function of x, the distance from the left side of the
painting. Both h(x) and x are measured in inches.
What is the height of the hill in the painting 3 inches
from the left side of the picture?
06 inches
n(x) = -
-- }(x)/x = 13)
O 13 inches
O 30 inches
O 150 inches
Use given triangle to fill in the blank.
PLEASE HELP ME!!!!!!!!!!!!
Answer:
the answer is a/b
Step-by-step explanation:
Answer:
a/b
Step-by-step explanation:
tan A = opposite side/ adjacent side
A rectangle prism has a length of 7 cm, a width of 4 cm, and a height of 2 1/2 cm.
The prism is filled with cubes the have edge lengths of 1/2 cm .
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,_____ cubes are needed.
Answer:
The heartened are in cm so it's L x W x H which would be 7 x 4 x 2.5 = 70cm cubes.
But because our cubes are 1/2cm cubes, each 1cm cube holds 8 1/2 cm cubes. (2 x. 05 long by 2 x 0.5 wide by 2 x 0.5 high)
So we need to multiply our 70 cm cubes by 8.
70x 8 = 560 1/2 cm cubes.
Yolanda has quarters, Q, and dimes, D, in her coin jar. She has a total of 31 coins.
The total amount of money in the jar is $4.75\$4.75$4.75 . Write two equations that could be used to find the number of quarters and the number of dimes in the jar.
Solve the equations to find out how many quarters and
how many dimes Yolanda has in her jar.
Answer:
11 Quarters 20 Dimes
Step-by-step explanation:
Q+D=31
25Q +10D = 475 (miltiplied all by 100 to avoid decimals)
Multiply the first by -10(to eliminate D)
-10Q - 10D = - 310
25Q+10D = 475
ADD BOTH( D will cancel)
15Q = 165
Q= 11
31-11 =20 (dimes =20)
11x0.25 = 2.75
20x0.10=2
2.75+2 = $4.75
How many triangles can be formed with segments measuring 6 1/4 in., 10 5/8 in., and 4 1/3 in.?
from the drop-down menu to correctly complete the statement. (Choose...) can be formed from these segments.
Options : No triangles, One triangle, More than one triangle
PLS HELP I SUCK AT MATH
Answer:
One triangle can be constructed
Step-by-step explanation:
I took the test hope this helps
Answer:
the answer is NO TRIANGLES
Step-by-step explanation:
i got the answer wrong, and this was the right answer. i wouldn't lie!
Enlarge the rectangle.
When a figure is enlarged, the scale factor must be
.
Reduce the rectangle.
When a figure is reduced, the scale factor must be
.
Answer:
1: greater than 1
2:between 0 and 1
Step-by-step explanation:
I think
Please mark me Brainlest
Answer:
When a figure is enlarged, the scale factor must be: Greater than one
Reduce the rectangle.
When a figure is reduced, the scale factor must be: Between 0 and 1
Solve the proportion for x.
x/15 = x+3/24
Answer:
Step-by-step explanation:
15(x + 3) = 24x
15x + 45 = 24x
45 = 9x
5 = x
Can someone help with this rq?
The line that passes through the points (-6, p) and (-10, 2) has a slope of -1/6. What is the value of p?
Work Shown:
Slope = rise/run
Slope = (change in y)/(change in x)
Slope = (2-p)/(-10-(-6))
Slope = (2-p)/(-10+6)
Slope = (2-p)/(-4)
Set this equal to the stated slope -1/6 and solve for p
(2-p)/(-4) = -1/6
6(2-p) = -4(-1)
12-6p = 4
-6p = 4-12
-6p = -8
p = -8/(-6)
p = 4/3
To solve the system of equations 6x – 4y = 9 and
3x + 12y = 5, which system of equations has the
same solution as the system?
Answer:
4x-2y=6
Step-by-step explanation:
i believe this works
The sum of two numbers is 32. Their difference is 30. What are the two numbers? Show all work
Answer:
a=30 , b = 0
Step-by-step explanation:
let the two numbers be represented as a and b
a + b = 30... eqn 1
a - b = 30 ...... eqn 2
we then add the two equations to get values for a and b
a + b + a - b = 30 + 30
a + b + a -b = 60
2a = 60 ( diivide both sides by 2)
a = 30
we then put value for a = 30 into any of the equations to get b
a + b = 30, 30 + b= 30
b = 30 -30 , b = 0
to confirm if the answers are correct, we insert the values for a and b in the two equations.
a + b = 30..... eqn 1, 30 + 0 = 30
a - b = 30 ...... eqn 2 , 30 - 0 = 30
Not sure how to do this
Pls help asap I’ll give brainliest
Answer:
100 (I believe)
Step-by-step explanation:
The length would be 20
20 x 2 (because we have two sides) is 40
the width would have to be 5 then
5x2 (because we have to sides) is 10
5x4 is 20 (Showing that the length is 4 times the width)
40 + 10 = 50 (Which is the perimeter)
Since we know the length is 20 and the width is 5
we just do
20 * 5 = 100
Answer:
L = 20
Width = 5
Step-by-step explanation:
"The perimeter of the rectangle is equal to 2 times length + 2 times width:
P = 2L + 2W
We know that length is 4 times the width, so L = 4 W
We can now replace l by 4W in the equation of the perimeter:
P = 2L + 2W = 50
P = 2(4W) + 2W = 50
P = 8W + 2W = 50
P = 10W =50
So W = 50 /10
W = 5
And L = 4W
L= 4 (5)
L = 20"
2O × 5 = 100
Find the value of x in the triangle shown below
Answer:
48 (i might be wrong)
Step-by-step explanation:
180-66-66=48
A spotlight is mounted on a wall 7.4 feet above a security desk in an office building. It is used to light an entrance door 9.3 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?
51 degrees
53 degrees
37 degrees
39degrees
Answer:
I believe its 53 degrees
Step-by-step explanation:
The hight
Answer:
Angle of depression = 51° (to nearest degree)
Step-by-step explanation:
Using tan trig ratio (where x is the angle, O is the side opposite the angle and A is the side adjacent to the angle)
[tex]tan(x)=\dfrac{O}{A}=\dfrac{9.3}{7.4}=\dfrac{93}{74}\\\\\implies x=\arctan\left(\dfrac{93}{74}\right)=51.49 \textdegree[/tex]
So angle of depression is 51.49° (to nearest hundredth)
Andre is designing a website that will display reviews of school lunches. Each item on the menu is rated from 0 to 5 stars. The main display can only show 6 reviews, so Andre needs to decide how to choose which reviews to show at the top.
1. If each rating also has a sentence or two explaining the rating, what are some good reasons to keep this sample displayed first? What are some good reasons to change the sample that is displayed first?
2. Is the sample representative of the population? Representative Not representative
Answer:
1. some good reasons are that put the most reviewed lunch at the top and good reasons to change it is that if you change it you could get more reviewers 2. yes it is representative of the population
Step-by-step explanation:
I hope it helps :-)
Reasons to maintain the sample at the top of the display:
The sample offers users a comprehensive perspective of the school lunch alternatives by representing a wide range of menu items and ratings.A variety of favorable and negative assessments are present in the sample, offering a well-rounded viewpoint.The most recent reviews are included in the sample, guaranteeing that the data is accurate.The sample has reviews from a range of students or sources, giving it a more varied viewpoint.What is Sampling?Sampling is the process of choosing a portion of a broader group of people or things for research or analysis. Since it is frequently difficult or impossible to test or examine every member of a group, conclusions about the population are instead drawn from a representative sample.
The information provided makes it unclear whether the sample is representative of the population. The sample is more probable to be representative if it was drawn using a random sampling technique and includes a variety of menu items and ratings. However, if the sample wasn't chosen at random or was biased, or if it just included a small portion of the available menu items and ratings, it might not be accurate.
Therefore, reasons to maintain the sample at the top of the display:
The sample offers users a comprehensive perspective of the school lunch alternatives by representing a wide range of menu items and ratings.Learn more about Sampling, here:
brainly.com/question/29852583
#SPJ2
A high school has 60 senior girls and 5 are selected to be on Snowcoming court. How
any different Snowcoming courts could be chosen?
Answer:
12
Step-by-step explanation:
There are 60 girls in total, and 5 got picked. So if you divide 60 by 5, you get the answer 12.
this is a problem i need help with
Answer:
He sold 12 phones and 20 watches.
Step-by-step explanation:
X × 10 = 120. Y × 2 = 40
12 × 10 = 120. 20 × 2 = 40
120 + 40 = $160
Answer:
10 times 3= 30 3 times 10=30 so total is 60 3mphones sold 10 watches sold
Step-by-step explanation:
PLEASE HELP WITH THIS ASAP
⚠️Whoever solves this gets marked as Brainleist⚠️
a)
The dark rectangle : 6x (square units)
The light rectangle : 5 x 6 = 30 (square units)
b) 2 ways to show the area of the entire figure :
6x + 30 square units (sum of 2 area)
6 x (x+5) (length x width, where the width is 6, and length is x + 5)
Hope it helps :)
Please help!
x and y are 2 complementary angles such that Y is 8 degrees larger then X.
Find the value of X
Answer: x = 41
Step-by-step explanation:
Since x and y are complementary angles, that means x + y = 90 degrees.
We are given that y = x + 8
We can substitue y as x + 8 in the complementary angle equation.
Therefore, we get x + x + 8 = 90
2x = 82
x = 41
Writing If the measures of two angles of a triangle are 86 and 12°, what is the measure of the third angle? Use pencil and paper. Explain how a straight angle is
related to the angles of a triangle.
The measure of the third angle is
Answer: 82 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees which is a straight angle.
Let the unknown third angle be x.
Therefore, 86 + 12 + x = 180
98 + x = 180
x = 82
Whats the variable for 4/2 = 3/x
Answer: 3/2
Step-by-step explanation:
We can cross multiply.
4x = 6.
Divide both sides by 4.
x = 6/4 which simplifies to 3/2
