Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3
y = 2x - 15 y = 5x solve using systems of equations
Answer:
The answer will be (-5,-25) or x= -5 and y=-25
Step-by-step explanation:
Hope this helped
Answer:
Step-by-step explanation:
Since the solution will occur when y=y
2x-15=5x
-3x-15=0
-3x=15
x=-5, using this in y=5x
y=5(-5)
y=-25 so the solution is the point
(-5, -25)
If you are making broccoli cheese soup the ratio of cheese to broccoli to broth is 5:6:10 if there is 100 parts broth how many of each ingredient should you use
Answer: See explanation
Step-by-step explanation:
Since there are 100 parts broth, the number to use for each ingredients will be:
Cheese = 5 × 100/10 = 5 × 10 = 50
Broccoli = 6 × 100/10 = 6 × 10 = 60
Broth = 100
Help me plz someone??
Answer:
200π m²
Step-by-step explanation:
The lateral area (A) of a cone is calculated as
A = πrl ( r is the base radius and l the slant height )
Here r = 8 and l = 25, then
A = π × 8 × 25 = 200π cm²
calculate the area of trapezium
A computer store bought a program at $10 and sold it at a selling price of $12 find the percent makup
Answer:
20%
Step-by-step explanation:
12-10=2
changed ÷ original x 100
2 ÷ 10 x 100
=20%
If a circle has an area of 49 squared, what is its exact radius?
Answer:
27.7
Step-by-step explanation:
Area = πr²
49²/π = r²
r = 49/√π = 49/1.77 = 27.7
Emir's Ice Cream Shop sold 1 sundae with nuts and 7 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the total number of sundaes?
Answer:
1:7
Step-by-step explanation:
Any help is greatly appreciated but please show how to get answers
We first calculate the front and back which are 2 congruent(equal) triangles. The 2 areas together is...
9*6/2*2=54
Now we want to calculate the 2 rectangles at the top right and top left of the shape they are also congruent(equal). The 2 areas together is...
7*5*2=70
The last part is the rectangle on the bottom with area...
9*5=45
Now we just need to add them all together...
54+70+45=124+45=169
I hope this helped you, if you have any questions about this solution just ask me in the comments :)
Answer:
223cm
Step-by-step explanation:
First you want to figure out how many faces the 3D shape has.
This has 5 faces.
Then you find the area of each face.
The front face has an area of 54cm because the length is 6cm and the width is 9cm.
Area = Length x Width
The back face will always have the same area as the front.
54cm + 54cm = 108cm (Front and Back Face)
Now the right side and left side.
The width of the side is 5cm and length is 7cm.
7cm • 5cm = 35cm
Just like the front and back, the right and left side will have the same area.
35cm + 35cm = 70cm
Now the last part.
There is no top face since this is a 3D triangle and not a square and rectangle etc.
So, you don't add it two times like the others.
The bottom's width is 5cm and the length is 9cm
5cm • 9cm = 45cm
Now you add all of it up together to find the surface area.
108cm + 70cm + 45cm = 223cm
Hope this helps dude
Identify the independent and dependent variables in the equation y = 3x + 5
Group of answer choices
y is independent and x is dependent
x is independent and y is dependent
both x and y are independent
both x and y are dependent
Answer:
A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.
The ratio of small dogs to large dogs at a show is 4:3. If there are a total of 56 dogs in the show, how many are large dogs?
Jenna's profit for selling 38 felt ornaments is $104.50. Suppose Jenna keeps track of the number of sales (x) and profit
(y) on a graph. Which statements are correct?
Answer:
B and E
Step-by-step explanation:
trust me its correct
need help
with these problems
Answer:
answer is c, e, and a
Step-by-step explanation:
:-)
Which pairs of expressions below are equivalent? A9m+4m13m2 B2(3m−4n)6m−4n C7(2m−3n)14m−21n D5m+5n+5m+5n5(m+n)
Answer:
7(2m−3n)14m−21n
Step-by-step explanation:
The following pairs are equivalent
7(2m - 3n)
14m - 21n
If you solve 7(2m - 3n)
So
7(2m) - 7(3n)
14m - 21n
So according to the given options, the option c is correct as this pairs is to be considered as equivalent
X + 54 = 37 so X = ?
Answer:
x=-17
Step-by-step explanation:
x+54=37
-54. -54
x=-17
Please help me out thank you.
Answer:
A
Step-by-step explanation:
n>= -6 and n<= 3
hope this helps
Answer:
_____________
The church's goal for the fundraiser was $18,000. They exceeded their goal by 8%. How much money did they raise?
Answer:
Step-by-step explanation:
18000(1+8/100)
18000(108)/100
19440
divide the product of d and 6 by 4
Answer:
d/24
Step-by-step explanation:
zola earned $30 by working two hours and receiving a $12 bonus. what expression matches that expression?
15(h) + 12
h = hours worked
//
15(2) + 12
solve this system of equations by using the elimination method.
2x-3y=25
5x+3y=10
Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.
2x-3y=251️⃣
5x+3y=102️⃣
Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:
1️⃣+2️⃣
2x-3y+5x+3y=25+10
7x=35
x=5
Then we can substitute the value of x back into either of the 2 equations.
2*5-3y=25
10-3y=25
3y=-15
y=-5
Then write the 2 answers together.
{x=5
{
{y=-5
Now we can check our answers.
2*5-3*-5=10- -15= 10+15=25 Correct
5*5+3*-5= 25+ -15= 10 Correct
From this we can see that x=5 y= - 5 are the correct answers!
You park in a garage 3 floors below ground level. Then you get in the elevator and go up 12 floors. What floor do you get off the elevator?
Answer: (B) 6 floors
Step-by-step explanation: Use the equation -3 + 9 to get the amount of floors above ground level.
-3 + 9 = 6
6 floors.
If this helps may I please have a brainliest.
Answer:
you would get off at the 9th floor because in order to reach ground level again your would already go up 3 of the 12 floors. leaving 9 floors left to go up.
Step-by-step explanation:
-3+12=9
120 pounds decreased by 5%
Answer:
114 pounds
Step-by-step explanation:
Which relation is a function?
{(8, –4), (–4, 8), (–4, –8), (–8, 4)}
{(5, –7), (4, 6), (–3, 8), (5, 9)}
{(9, –1), (–1, 9), (9, 2), (2, –1)}
{(2, 3), (–2, 3), (3, 2), (–3, –2)}
Step-by-step explanation:
the last one.
because no x values repeat.
help!!!!!!!!
5x^2 - 35x+50/x^2-x-20
also here is something cute.......... a munchkin cat
Answer:
funny
Step-by-step explanation:
funny
angles
B
D
The AAS Triangle Congruence sch
Theorem can be used to show that ABE CDE
Choose...
Vertical Angles
Alternate Interior Angles
AAS Triangle Congruence
SSS Triangle Congruence
Answer:
Using the right angles, we can establish AAS making the triangles congruent. Or using the Pythagorean Theorem, we can find the missing side, and then use SSS, SAS, or ASA to make the triangles congruent.
Step-by-step explanation:
Determine the value of x below.
30
12
X
Answer:
138
Step-by-step explanation:
Let 30, 12 and X be the angles of a triangle
The sum of the angles in a triangle is 180degrees
Hence
30+12+X =180
42+X = 180
X = 180-42
X= 138
Hence the value of X is 138
The graph of f(x)=x is given which graph represents g(x)=1/3x
Answer:
Where are the graphs
Step-by-step explanation:
In a factory, eggs are packaged in groups of six per box how many full boxes of eggs can the factory make with 937 eggs
Answer:
156 boxes
Step-by-step explanation:
Simply divide the total amount of eggs (937) by the amounts which are packaged in the boxes (6)
937 / 6 = 156 [tex]\frac{1}{6}[/tex]
So there are 156 full boxes and 1 egg left
Since you can't pack one egg, the answer is 156 boxes
Answer:
156
Step-by-step explanation:
937 ➗ 6 which 156.16667 near to 156
Solve this system of linear equations. Separate
the x- and y-values with a comma.
9x = 1 - 4y
-7x = -7 + 4y
Answer:
y = 7 and x =3
Step-by-step explanation:
use elimination method
so we gonna eliminate y first
9x = 1 - 4y
-7x = -7 + 4y
7| 9x = 1 - 4y
9| -7x = -7 + 4y
63x = 7 - 28y
-63x = -63 + 36y
add eqtn 1 to eqtn2
you will get
0 = -56 + 8y
56 = -56 + 56 + 8y
56 = 8y
56÷8 = 8y÷ 8
7 = y
also eliminate x as we have done wth y
4| 9x = 1 - 4y
4| -7x = -7 + 4y
36x = 4 - 16y
-28x = -28 + 16y
add the two equations
u will get
8x = -24 + 0
8x = -24
8x÷8 = 24÷ 8
x = 3
which sentence demonstrates the multiplicative identity?
1. 1/2•1=1/2
2. 1/2•2=1
3. 1/2+0=1/2•
Answer:
It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1
Step-by-step explanation:
Help me 20 points please help me
Answer:
Rational: 4.2, -11/5, 0.36
Irrational:
[tex] \sqrt{ \frac{1}{4} } [/tex]
[tex] \sqrt{8} [/tex]
[tex]\pi[/tex]
[tex] \sqrt{ \frac{3}{4} } [/tex]
Step-by-step explanation:
Hope this Helped
