The difference of the expression is 6x² - 15x - 4.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression as
(4x² - 12x + 6) and (10 + 3x -2x²)
Now, simplifying the expression
= 4x² - 12x +6 - (10 + 3x -2x²)
= 4x² -12x+ 6 -10 -3x + 2x²
= 6x² - 15x - 4
Thus, the simplified expression is 6x² - 15x - 4.
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Does the point (-3,-1) lie on the line with the equation y = 10 - 3x ? Be sure to show your work.
Replace x in the equation with the x value from the point and solve. If the equation equals the y value from the point the point lies in the line, if it doesn’t equal the y value then it doesn’t lie on the line.
Y = 10 -3(-3) = 10 + 9 = 19
19 doesn’t equal -1 so the point does not lie on the line.
consider these functions f(x)=1/3x^2+4 g(x)=9x-12 what is the value of g(f(x))
Given:
Functions are
[tex]f(x)=\dfrac{1}{3}x^2+4[/tex]
[tex]g(x)=9x-12[/tex]
To find:
The value of [tex]g(f(x)).[/tex].
Solution:
We have,
[tex]g(f(x))=g(\dfrac{1}{3}x^2+4)[/tex] [tex][\because f(x)=\dfrac{1}{3}x^2+4][/tex]
[tex]g(f(x))=9(\dfrac{1}{3}x^2+4)-12[/tex] [tex][\because g(x)=9x-12][/tex]
[tex]g(f(x))=9(\dfrac{1}{3}x^2)+9(4)-12[/tex]
[tex]g(f(x))=3x^2+36-12[/tex]
[tex]g(f(x))=3x^2+24[/tex]
Therefore, the required function is [tex]g(f(x))=3x^2+24[/tex].
Following are the calculation to the given function:
Given:
[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]
To find:
[tex]g(f(x))=?[/tex]
Solution:
[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]
[tex]\to g(f(x))=g( \frac{1}{3} x^2+4) \\\\[/tex]
[tex]=9( \frac{1}{3} x^2+4)-12 \\\\=\frac{9}{3}x^2+36-12 \\\\=3x^2+24 \\[/tex]
Therefore, the answer is "[tex]24+3x^2[/tex]" .
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Mrs. Brown uses 1/4 package of graph paper for each class. She needs 1 1/2 packages to serve all of her classes. How
many classes does Mrs. Brown teach?
Answer:
I think the answer is 6 sorry if i'm wrong
Step-by-step explanation:
-(4x - 5) + 16x ≥ -31
can you solve this inequality equation?
Answer: x≥-3
Step-by-step explanation:
-(4x-5)+16x≥-31
-4x+5+16x≥-31
12x+5≥-31
-5 -5
12x≥-36
12/12x≥-36/12
x≥-3
hope this helped :)
Find the slope and the y-intercept of the line whose equation is -5x+3y-8=0
slope = 5/3x
y intercept = 8/3
Step-by-step explanation:
3y = 5x + 8 + 0
divide all the numbers by 3
y = 5/3x + 8/3
Please help!!!! Thank youuu I’ll make brainlisy
Answer:
A
Step-by-step explanation:
it isn't a straight line, so it is nonlinear
Read the following prompt and type your response in the space provided.
Write an inequality that could be used to solve the following problem. Do not solve.
Sall's Pizza charges $12 for a large cheese pizza and $2 for each additional topping.
Brian only has $18 to spend on pizza. How many toppings can he get on a large
pizza?
Answer:
equation form: 12 + 2x = 18
x = 3
lets check the work see if its true
12 + 2(3) = 18
12 + 6 = 18
It Checks!
therefore your answer is 3. He can get 3 different toppings
Step-by-step explanation:
2. Phan went grocery shopping and purchased 8 loaves of bread that cost $1.48 each, 4 bags of milk that
cost $4.33 each, and 2 boxes of cereal that cost $5.25 each.
Answer:
39.66
Step-by-step explanation:
i think your asking how much his total is going to be you didnt put the whole question so I really dont know
convert 3 4/5 into a improper fraction with steps please
Answer:
Step-by-step explanation:
((3×5)+4)/5=
19/5
The improper fraction is 19/5.
We have to convert [tex]3 \dfrac{4}{5}[/tex] it into an improper fraction.
To convert into an improper fraction calculation must be done in a single unit following all the steps given below.
Step1; Write the fraction into simple fractions,[tex]= \dfrac{3 \times 5 + 4}{5}[/tex]
Step2; Solve the following equation.[tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]
Hence, The improper fraction is 19/5.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11% a. Write an exponential function to model the deer population in terms of the number of years from now. B. Explain what each value in the model represents . . Predict the number of deer that will be in the region after five years. Show your work.
Answer:
Formula : V = I (1 + R)^T , Deers after 5 years ≈ 556
Step-by-step explanation:
Exponential formula for final value 'v' - for initial value 'i' at growth rate 'r' for a period of time 't'
V = I (1 + R)^T
As per given deer case, I = 330 & R = 11% = 0.11
V = 330 ( 1 + 0.11 )^t
Predicted deers after 5 years, V = 330 (1.11)^5
330 x 1.685 = 556.05
How many times larger is 4.5 x 105 than 1.8 x 10%?
A. 2.5
B. 270
C. 250
D. 50
Answer:
c
Step-by-step explanation:
Please help!
if the ball family has a child in 8 years how much can I expect to spend to raise a child per year from birth to 5 years of age ?
A). $22,800
B). $21,530
C). $20,890
D).$18,240
Answer: 22,800
Step-by-step explanation: Depends on what you do that year
What is the equation for a circle with the center, (0,0) and a radius of 4?
Answer:
(X-x0)^2 +(y-y0)^2= r^2
R=4
R^2=16
(X-0)^2+(y-0)^2=16
Can someone please help me out with 15 and 16
If you do just one of them that’d be great.
geometry proofs
Answer:
Step-by-step explanation:
HELP I need to fine the slope-intercept form. Please it’s a timed assignment I only have two try’s and I already used one
Answer:
5. y = -1/2x + 6
6. y = 1/2x + 150
7. y = 10x + 20
8. y = 25x
Step-by-step explanation:
Look at the y-intercept and eliminate the answers you dont need.
Then find the slope of each.
Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation could be used to find h the number of hot dogs and c the number of cookies
Answer:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)
And the amount spent can be represented as:
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]
And
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:
[tex]0.75c + 1.10h = 4.55[/tex]
Hence, the equations are:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Solving for c and h
Make c the subject in [tex]c + h = 5[/tex]
[tex]c = 5 - h[/tex]
Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]
[tex]0.75(5- h) + 1.10h = 4.55[/tex]
[tex]3.75- 0.75h + 1.10h = 4.55[/tex]
[tex]3.75 +0.35h = 4.55[/tex]
Collect Like Terms
[tex]0.35h = 4.55 - 3.75[/tex]
[tex]0.35h = 0.8[/tex]
Solve for h
[tex]h = 0.8/0.35[/tex]
[tex]h = 2.28571428571[/tex]
[tex]h =2[/tex] -- approximated
Recall that:
[tex]c = 5 - h[/tex]
[tex]c = 5 - 2[/tex]
[tex]c =3[/tex]
In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?
Answer:
PA = 20 units
NL = 20 units
Step-by-step explanation:
Property of a rectangle,
"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"
By using this property,
PT = TL
(x + 3) = (3x - 11)
3x - x = 11 + 3
2x = 14
x = 7
Length of PT = (x + 3) = 10
Length pf PA = 2(PT) = 20 units
Length of NL = PA = 20 units
A scientist finds that an intial bacteria count was 24 million and 4 hours later, the count was up to 99
million. Write an exponential equation of the form y = abt for this scenario. Round b to four decimal
places.
y =
Find the lengths of all 3 sides of each triangle.
Answer:
GH=45
HJ=81.6
GJ=53.4
Step-by-step explanation:
hope i helped <3
Kevin graphed the inequality x > 1.
A number line going from negative 3 to positive 5. A closed circle is at 1. Everything to the right of the circle is shaded.
What mistake did Kevin make? Explain.
.
Answer:
Sample: Kevin should have used an open circle on 1, not a closed circle. The closed circle means that 1 is included in the solution set, but the inequality is x > 1, so 1 is not part of the solution.
Mistake done by Kelvin is he used closed circle at 1 where inequality x > 1 which excludes 1.
What is open and closed circles?
" Closed circle represents that the value is included in the given range while that of open circle represents given number is not included."
According to the question,
Graph of inequality x > 1 represents all values greater 1 excluding 1.
Number line represents -3 to 5.
A closed circle at 1 means 1 is included.
As per the condition of inequality x > 1 , 1 is excluded while in closed circle 1 is included both are contradictory conditions.
Hence, mistake done by Kelvin is he used closed circle at 1 where inequality x > 1 which excludes 1.
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Solve the following equation for the
variable (a). -3a = 15
a = 5
a = 12
a = -5
a = 18
Use the figure to answer the question.
10 in.
3 in.
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.
Two planes travel at a constant speed. Plane A travels 2,700 miles in 5 hours. Plane B travels 3,815 miles in 7 hours. Which plane is faster?
Answer:
Plane B is faster
Step-by-step explanation:
I took an Uber that had a bill of $15.20. I left a 15% tip. How much was the Uber including the tip?
Answer:
$17.48
Step-by-step explanation:
^^^^^^^^^^^^^
HELP! Is (0,-5) a solution to 3x - 2y < 10 ?
Answer:
false
Step-by-step explanation:
3(0) - 2(-5) = 10
the < says it cannot be equal
answer please?? 50+40+10=
Four times the sum of a number and seven is twenty three.
Answer:
[tex]\frac{-5}{4}[/tex]
Step-by-step explanation:
You're going to want to set up an algebraic equation to solve this. It would look like this: 4(x+7)=23. Using distributive property, you'd get 4x+28=23. Subtract 28 from both sides to isolate 4x, and you'd get 4x=-5. Divide by 4 on both sides to isolate x and you'd get x=[tex]\frac{-5}{4}[/tex].
CHECK:
To check, plug in x.
4([tex]\frac{-5}{4}[/tex]+7)=23.
Use distributive property and get [tex]\frac{-20}{4}[/tex]+28=23. This simplifies to -5+28=23, which is correct.
Please help fast too easy questions for double the points I’ll give brainless also and 10 point!
Answer:
78.5
Step-by-step explanation:
add 1+2+3+4+5+6+7+100-56=78.5
A boy saved over $5. His father gave him $2. The boy now had $y altogether. Write an inequality in y
Answer:
$7 total
Step-by-step explanation:
$5 + $2 = $7
6. Complete the pattern: 4, 8, 12, 16,
Answer:20,24,28,32
Step-by-step explanation:
Answer:
20, 24, 28, 32
Step-by-step explanation:
The sequence is counting by 4. Wasn't sure how many numbers you were looking for, but if you need more than what was given in the answer then keep counting up by 4.
