Find the point of intersection for the two functions through substitution. Show
your work
f(x) = - 4x + 7
g(x) = 2x + 13
Your answer
PLEASE I NEED THIS ANSWER AND IM OUT OF SCHOOL FOR THE WEEKEND
Answer:
hate to break it to ya but their is no question-
Step-by-step explanation:
A what you need help with
Step-by-step explanation:
Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzones can be made if a mega calzone contains 3 different toppings and 3 different cheeses
Answer:
26880 ways
Step-by-step explanation:
Given
[tex]Crust = 4[/tex]
[tex]Toppings = 10[/tex]
[tex]Cheese = 8[/tex]
Required
Determine the number of ways 3 toppings and 3 cheese can be selected
The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.
This can be done in [tex]^4C_1[/tex] ways
For the toppings:
3 can be selected from 10 in [tex]^{10}C_3[/tex] ways
For the cheeses:
3 can be selected from 8 in [tex]^{8}C_3[/tex] ways
Total number of selection is:
[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]
Apply combination formula:
[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]
[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]
[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]
[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]
[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]
[tex]Total = 4 * 120* 56[/tex]
[tex]Total = 26880[/tex]
Hence, there are 26880 ways
I need help
Y=x+4
y=3x-1
Answer:
x=2.5, y=6.5
Step-by-step explanation:
Y=x+4 ,y=3x-1
x+4=3x-1
2x=5
x=2.5
y=x+4=2.5+4=6.5
divide 4,052 divided by 61
Answer:
R u that lazy to not type it in a calculator
Step-by-step explanation:
But it is 66.4262295082
Pls make me buy brainiest
A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?
Answer:
Step-by-step explanation:
Perimeter=a+b+c=6+8+10=24 m
Area=1/2*a*b=1/2*6*8=24 m^2
Find the present value of the given future payment at the specified interest rate.
6000$ due in 2 years at
6.5% compounded daily
Answer:
6.5% of 6000$=6000$x6.5/100=390$
amount of interest = 390$x2=780$
Compound Interest
n=1, 2
Po=6000$
Pn=Po(1+r)^n
Pn=6000$1+6.5%)^n
Pn=6000$(1.065)^n
P1=6000$(1.065)^1=6390$
P2=6000$(1.065)^2=6805.35
Can someone please help me on this? I've been trying for hours and can't seem to find the answer.
Answer: The area of the shape is 90 ft.
Step-by-step explanation:
Draw a line so the shape looks like a triangle and small rectangle.
First, we have to find the area of the rectangle.
Area of rectangle: length x width
The rectangle has a length of 6 ft and a width of 3 ft.
Area of rectangle: 6 x 3 = 18 ft
Now to find the area of the triangle.
Area of triangle: 1/2 x base x height
The triangle's base: 15 - 3 = 12
The triangle's height: 6 + 6 = 12
Area of the triangle: 1/2 x 12 x 12
= 1/2 x 144 = 72ft
To find the area of the entire shape you have to add the area of the rectangle and triangle together.
Area of shape = Area of rectangle + Area of triangle
A of shape = 18 ft + 72 ft
The area of the shape is 90 ft.
Hope that helped!
Solve
for x
2(2x + 1) -10=4
Help please and thank you
Answer: 3
Distribute
Subtract the numbers
Simplify
0.9b + 12 = 0.8b - 9
Answer:
0.9b+12=0.8b-9
0.9b+0.8b= -9-9
1.7b=-21
=-12.352
A homeowner uses GGG hours of natural gas heat and PPP hours of heat from a pellet stove to heat her house one month, with a total of 575757 therms of output. How many therms per hour does the pellet stove output
Answer:
0.0792therms/hour
Step-by-step explanation:
Given
Total output per month = 57 therm of output
Required
Total output of the pellet stove in one hour
Since 1month = 24×30 = 720hours
Hence:
57therms = 720hours
x therm = 1hour
Cross multiply
720×x = 57
x = 57/720
x = 0.0792 therms/hr
Hence the pellet stove use 0.0792therms/hour
32+(-4) how i rezolv this
Answer:
=28
Step-by-step explanation:
Have a great day :)
Answer:
32 - 4 = 28
Step-by-step explanation:
just replace the plus sign since there is a negative
Active
2
3
The average person's speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be
used to convert this speed to meters per hour?
1 kilometer
1,000 meters
1 meter
1,000 kilometers
1,000 meters
1 kilometer
1,000 kilometers
1 meter
Save and Exit
Sue
A $96.00 item is marked down by 25%
what is the new cost of the item?
round if needed
Answer:
$72.00
Step-by-step explanation:
Answer:
$72
Step-by-step explanation:
25% of $96 = [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] = [tex]\frac{2400}{100}[/tex] [tex]\frac{2400}{100} = 24[/tex] $96 - $24 = $72I hope this helps!
Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total earnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they need to mow next week so that each person earns at least $275? A. 45m - 30/4 _> 275 B. 45m/4 - 30 _>275 C. 45m - 30/4 _< 275 D. 45m/4 - 30 _< 275
Answer:
The answer is actually A) 45m-30/4 ≥ 275
Step-by-step explanation:
It says, "of the total earnings", so after they took off the 30 dollars, they split it between themselves. Hope this helps ;)
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
Tell whether the angles are complementary or supplementary. Then find the value of a
2x
(3x + 25)
Answer:
31
Step-by-step explanation:
3x + 25 + 2x = 180
3x + 2x = 180 - 25
5x = 155
x = 31
convert 5/4 into a decimal
Answer:
Step-by-step explanation:
The answer is 1.25
Pls help need answers fast
Answer:
1. 11-y=-9
2. 41+w=26
3. r÷6=-4
4. 18(p)=54 or 18×p=54
5. Yes V= -52
6. Yes Z= -3
7. No would equal 43
8. No T would equal positive 6.
9. B
10. C
11. D
12. A
what is 3/5 divide 1/3
Answer:
1 4/5
Step-by-step explanation:
A diver is on a springboard that is 4 meters above the surface of the pool. another diver is 5 meters below the surface of the pool. Who is closer to the surface of the pool?
Answer:
A
Step-by-step explanation:
Let's say the surface of the pool is 0, and the diver 4 meters above represents +4, and the diver 5 meters below represents -5. Which number is closer to 0? It's 4! 4 is 4 numbers away from 0, meanwhile 5 is 5 numbers away from zero, 4 is closer to 0!
3(x+5)-2(-3x+1)
PLZ Answer
area of rhombus is 60m sq.if its perimeter is 40 m sq. find its altitude
Answer:
Step-by-step explanation:
Para meter of rhombus is equals 40 m
So one side of rhombus is equal to 10 m
Now
Area of rhombus is equals to half into base into altitude
1/2*10*altitude=84
Altitude = 16.8m
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 5 years, how long will it take to triple?
Answer:
[tex]t=7.85 years[/tex]
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
[tex]\frac{dP}{dt}=aP[/tex]
Where a is proportional constant, P the population variable, and t the time.
[tex]\frac{dP}{P}=adt[/tex]
Integrating each side of the equation.
[tex]\int \frac{dP}{P}=\int adt[/tex]
[tex]ln(P)=at+c[/tex]
[tex]P=e^{at+c}[/tex]
[tex]P=e^{c}e^{at}=Ce^{at}[/tex]
To find C we need to use the initial condiction, it means evaluae P at t=0.
[tex]P_{0}=Ce^{0}=C[/tex]
[tex]P=P_{0}e^{at}[/tex]
Now, we use the sentence the population has doubled in 5 years.
[tex]2P_{0}=P_{0}e^{a5}[/tex]
We can find "a" in this condition.
[tex]2=e^{a5}[/tex]
[tex]ln(2)=a5[/tex]
[tex]a=\frac{ln(2)}{5}[/tex]
[tex]a=0.14[/tex]
Finally, let's find how long will it take to triple.
[tex]3P_{0}=P_{0}e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
[tex]t=\frac{ln(3)}{0.14}[/tex]
[tex]t=7.85 years[/tex]
I hope it helps you!
What is the value of -b/(2a) in the given function below?
h(x)= -4x^2 -8x + 5
A. 2
B. -2
C. -1
D. 1
Peter wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help Peter estimate the 15% tip on a $48.00 bill correctly?
A. $4.80 + $2.40 = $7.20
B. $4.80 + $4.80 = $9.60
C. $4.80 + $0.48 = $5.28
D. $2.40 + $2.40 = $4.80
Answer:
A. $4.80 + $2.40 = $7.20
Step-by-step explanation:
10% is the same as 10/100 or 1/10. To find 10% of a number, move the decimal point one place to the left.
10% of $48 is $4.80
Now he needs 5% of $48 which is half of 10% of $48, so 5% of $48 is $2.40.
$4.80 + $2.40 = $7.20
Answer: A. $4.80 + $2.40 = $7.20
another question, what is 94939423^2 have fun!
Answer: The Answer is 21 because its 21
8.In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the probability that it is neither orange nor red
Answer: then its blue, 1/3
Step-by-step explanation: in a box there are 8 red, 7 blue and 6 green balls. one ball is picked up randomly. what is the probability that it is neither red nor green?
---
I guess the ball was blue.
P(blue) = 7/21 = 1/3
As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.
Answer:
about 30 km. If it wasn't estimated, it would be 30.8994048 km.
Answer:
12
Step-by-step explanation:
At a swimming race, 3 out of 10 swimmers won a ribbon. What percent of the swimmers won a ribbon?
Answer:
30% of the swimmers won a ribbion
and 70% didnt
Step-by-step explanation: