If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
–196
–168
22
78
Answer:
-168
Step-by-step explanation:
because f(x) = 8 - 10xg(x) = 5x + 4
(fg)(x) = (8 - 10x)(5x + 4)(fg)(x) = 40x + 32 - 50x^2 - 40x(fg)(x) = 32 - 50x^2
(fg)(-2) = 32 - 50(-2)^2(fg)(-2) = 32 - 200(fg)(-2) = -168
Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?
WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH
Answer:
12 additional sticks of butter
Step-by-step explanation:
First, create an equation. Let y represent the number of additional sticks of butter needed, and let x represent the number of cakes made.
y = [tex]\frac{x}{2}[/tex] will be the equation.
Since she has already baked 17 cakes, she will need to bake 24 more cakes to make 41 cakes.
Plug in 24 as x into the equation, and solve for y:
y = [tex]\frac{x}{2}[/tex]
y = [tex]\frac{24}{2}[/tex]
y = 12
So, she will need 12 additional sticks of butter
Max claims that a point on any line that is perpendicular to a segment is equidistant from a segment's endpoints. Charlene claims that the line must be a perpendicular bisector for a point on the line to be equidistant from a segment's endpoints.
Answer:
Charlene claim is true.
Step-by-step explanation:
Max claims that a point on any line that is perpendicular to a segment is equidistant from a segment's endpoints.
It is not necessary as shown in the diagram (a).
Charlene claims that the line must be a perpendicular bisector for a point on the line to be equidistant from a segment's endpoints.
It is true as shown in the diagram (b).
So, Charlene claim is true.
please please help me!! THANK YOU. this is due tonight
explaining your answer = brainliest/five stars
the area of this rectangle = ___ square cm
Answer:
300cm
Step-by-step explanation:
to get the area of a rectangle, all you have to do is (bh) or base * height. in this case, the base is 20cm and the height is 15cm. once you multiply the two lengths you will get 300 meaning that the area of this rectangle is 300 cm.
The required area of a rectangle is 300 square cm which is given in the figure.
What is the area of the rectangle?The area of a rectangle is defined as the multiplication of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
We have been given a rectangle that has :
The length of the side = 20 cm
The width of the side = 15 cm
The area of a rectangle = The length of the side × The width of the side
The area of a rectangle = 20 cm × 15 cm
Apply the multiplication operation,
The area of a rectangle = 300 square cm
Therefore, the required area of a rectangle is 300 square cm.
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
#SPJ2
a cube that is used as a table is 2ft on each side. how many square feet will be painted if all sides are painted
A. 24ft²
B. 48ft²
C. 36ft²
Answer:
A
Step-by-step explanation:
answer is in above photo
Stacy earns $15 each week plus $.50 for each customer on her paper route. She wants to earn at least $25 each week. What equation can she use to find x, the number of customers she needs to make exactly $25
Answer: .50x+15=25
I hope this helps.
The coordinates of p and q are p(3,5) and q (7,1). Find the gradient of pq
Hi there!
[tex]\large\boxed{\text{Gradient = -1}}[/tex]
We can find the slope using the slope formula:
Slope = (y2-y1)/(x2-x1)
Plug in the given coordinates:
Slope = (1 - 5)/(7 - 3)
Simplify:
Slope = -4/4
Slope = -1
What is 8 weeks from June 30th
Answer:
The answer is25th August
What is the surface area of the cylinder with height 7 cm and radius 3 cm? Round your answer to the nearest thousandth.
Answer:
188.52cm^2
Step-by-step explanation:
Given data
Height= 7cm
Radius= 3cm
The expression for the surface area of a cylinder is given as
Surface area= 2πr (h + r)
Surface area= 2*π*3 (7 + 3)
Surface area = 6π (10)
Surface area= 60*3.142
Surface area= 188.52cm^2
Hence the surface area is 188.52cm^2
10th Grade Mathematics Assessment SU
Question 3
A family wants to purchase a new refrigerator, but they need to determine the volume before they buy it. What is volume of the refrigerator?
4 ft
3 ft
1
2 ft
4 ft
Find the second term of the arithmetic series described by a = -10, an = 26 and Sn = 200. 1. 1.5 2. -8.5 3. 16 4. 25
1. 1.5
2. -8.5
3. 16
4. 25
Answer:
16
Step-by-step explanation:
mark it as the Brainliest
Find the mode of the data.
The number of awards earned
from each school in the district.
1, 3, 1, 5, 7, 8, 10
Mode: [?]
hande in the aroon hoy
Answer:
1
Step-by-step explanation:
The mode is the number that appears most often
1 appears twice in the data list and that is the mode
Answer:
Mode: 1Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
I need help quick it's urgent!
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
start by squaring both sides:
[tex](\sqrt{-8+3x} )^2=(2)^2[/tex]
squaring a square root cancels it out:
[tex]-8+3x = 4[/tex]
solve for x by first adding 8 to both sides:
[tex]3x=12[/tex]
then divide both sides by 3:
[tex]x=4\\[/tex]
what are the measures of ∠1 and ∠2?
<3
Ravi and Bella start watching a dvd a 7:40. The dvd lasts for 2 hours 25 minutes. At what time do they stop watching the dvd.
Answer:
10:05
Step-by-step explanation:
10:05
7:40+2 hours =9:40+25=10:05
if 3 /5 of a class read 4 or more how man students read three books
Answer:
2/5 or 40% read three books
Step-by-step explanation:
Since 3 out of 5 people read four or more books then the remnaining 2/5 people read three books
Hello everyone! Please help me with this! I don't undertsand how to solve it :(
Answer:
x=40
Y= 35
Angle AEC= 55
Step-by-step explanation:
Answer:
[tex]x = 40 \\y = 35 \\\angle AEC = 55^\circ[/tex]
Step-by-step explanation:
Find x :
[tex]( 3x + 5)^{\circ} + ( x +15)^{ \circ} = 180 ^{\circ}[/tex] [tex][ \ straight \ line \ angles \ ][/tex]
[tex]3x + 5 + x + 15 = 180\\\\4x + 20 = 180 \\\\4x = 160 \\\\x = 40[/tex]
[tex]\angle AED \ = 3x + 5 = 125 ^{ \circ}[/tex]
[tex]\angle DEB = (x + 15 ) = 40 + 15 = 55^{ \circ}[/tex]
Find y :
[tex]( y + 20)^{ \circ} + (4y - 15)^{ \circ} = 180^{\circ}\\\\y + 20 + 4y - 15 = 180\\\\5y + 5 = 180\\\\5y = 175\\\\y = 35[/tex]
[tex]\angle AEC = ( y + 20 ) = 35 + 20 = 55^\circ\\\\\angle BEC = (4y - 15) = 4(35) -15 = 140 - 15 = 125^\circ[/tex]
Solve: 121−−−√. Round to nearest tenth, if needed.
Answer:
11
Step-by-step explanation:
The square root of 121 is 11. Remember 11 to the power of 2
Select the correct answer.
The length of a rectangle is 3 meters more than the width. The perimeter of the rectangle is 26 meters. If the width is b, which equation represents the situation? How many solutions will this equation have?
A.
(b + 3)(b) = 26, which has one solution
B.
2(b + 3) + 2b = 26, which has infinitely many solutions
C.
2[(b + 3) + b] = 26, which has one solution
D.
2[(b + 3) + b] = 26, which has no solution
Answer:
C
Step-by-step explanation:
Have a nice day
Answer:
C. 2[(b + 3) + b] = 26, which has one solution
Step-by-step explanation:
Please brainliest and dont forget to say thanks :)
What equation would represent a line with a slope of 1/3 and a y-intercept of -1?
Answer:
1/3+(-1)
Step-by-step explanation:
There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles
Answer:
8.04672
or 8
Step-by-step explanation:
From the equations below, let's find the value of x.
x=y=2z
xyz=256
Answer:
x=8
Step-by-step explanation:
xyz=256
x=y=2z
Replace y with x and z with x/2
x * (x) *(x/2) =256
x^3 /2 = 256
x^3 = 512
Take the cubed root of each side
(x^3) ^(1/3) = (512) ^ (1/3)
x=8
If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17
B. h(x) = 4(x – 9)2 – 17
C. h(x) = 4(x = 17)2 - 9
D. h(x) = 4(x - 7)2 + 16
Answer:
Step-by-step explanation:
If you move down 1 unit, you simply subtract 9 units from the given equation.
g(x) = 4x^2 - 16 - 1
g(x) = 4x^2 - 17
Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.
The wrong way to do it is in answer A.
B is the correct answer
h(x) = 4(x - 9)^2 - 17
6 (x - 5 ) - 4x = 3(4x - 5)
help asapppl
If two fair dice (with faces numbered 1,2,3,4,5,6) are tossed together, what is the probability that the total score will be a perfect cube?
Answer:
[tex]\frac{5}{36}[/tex]
Step-by-step explanation:
There are [tex]6^2=36[/tex] non-distinct sums that can be achieved when rolling two fair sided dice.
The smallest of these sums is [tex]1+1=2[/tex] and the largest of these sums is [tex]6+6=12[/tex]. Within this range, there exists only one perfect cube, [tex]2^3=8[/tex].
Count how many ways we can achieve a sum of 8 with two dice:
[tex]\begin{cases}2+6=8,\\6+2=8,\\3+5=8, \\5+3=8,\\4+4=8\end{cases}\\\\\implies \text{5 ways}[/tex]
Thus the probability the total score (sum) will be a perfect cube when rolling two fair six-sided dice is equal to [tex]\boxed{5/36}[/tex]
At Applebees, the average diner tips the waiter 20% of their total bill. Finn's bill was $66.50. How much money should Finn tip the waiter?
Answer:
56
Step-by-step explanation:
Answer:
13.3 US$
Step-by-step explanation:
How to find it
Written using the formula: x = 66.50 ÷ 20%
Convert the percent to a decimal.
20% ÷ 100 = 0.2.
X = 66.50 ÷ 0.2.
So 20% of 66.60 is 13.3.
maths pi question. SEE ATTACHMENT
Answer:
r = 6cm
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
36 pi = pi r^2
Divide each side by pi
36 pi/pi = pi r^2/ pi
36 = r^2
Take the square root of each side
sqrt(36) = sqrt(r^2)
6 =r
The radius is 6 cm
r = 6cm
Answer:
radius, r = 6cm
Step-by-step explanation:
[tex]Area = 36 \pi \\\\\pi r^2 = 36 \pi\\r^2 = 36\\r = \sqrt{36} = 6 \ cm[/tex]
Help needed right now please.
A)Fill in the blank with a number that would make the range of the data set 20.
3, 10, 8, 3, 10, 1, 10,
B)
Fill in the blank with a number that would make the mean of the data set 15.
3, 10, 8, 3, 10, 1, 10,
C)
Fill in the blank with a number that would make the standard deviation smaller.
3, 10, 8, 3, 10, 1, 10,
Please i need this turned in by 2:00 om so dont answer if you dont know<3
Consider the equation 1.5x+4.5y=18.
1. If we graph the equation, what is the slope of the graph?
2. Where does the graph intersect the y-axis?
3. Where does it intersect the x-axis?
Answer:
sorry i wasnt gonna type it out. im on phone
what’s the product? (3x-6) (2x^2-7+1)
Answer:
0
Step-by-step explanation:
because the carrot is wrong
Answer:
Assuming you are using the zero product property, x = 2, √(3), -√(3)
Step-by-step explanation:
first I factored the (2x^2-7+1) into 2(x^2 - 3)
I also factored the (3x-6) into 3(x - 2)
Now I have the equation 6(x - 2)(x^2 - 3) = 0
I'll start with the easiest one, which is x - 2 = 0, which gives me 2
Now I solve for x^2 - 3 = 0, and I end up with two answers:
√(3) and -√(3)
So in total, x as 3 answers