15.05 ÷ 7 = $2.15 per gallon
--
2.15 x 4 = $8.60
--
jamal can buy 4 gallons of gas
If f(x)=2x^3+4x^2, find f(-3)
Answer:
f(-3) = -18
Step-by-step explanation:
f(x)=2x^3+4x^2, find f(-3); let's rewrite
f(x) = 2[tex]x^{3}[/tex] + 4[tex]x^{2}[/tex]; substitute -3 for x
f(-3) = 2[tex](-3)^{3}[/tex] + 4[tex](-3)^{2}[/tex]; do the exponents
f(-3) = 2(-27) + 4(9); multiply and add
f(-3) = -54 + 36 = -18
The value of the function f(x) = 2x³ + 4x² at f(-3) is - 18.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = 2x³ + 4x².
Now, The value of the function f(-3) can be obtained by replacing
x with - 3.
Therefore, f(-3) = 2(-3)³ + 4(-3)².
f(-3) = 2×-27 + 4×9.
f(-3) = - 54 + 36.
f(-3) = - 18.
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Rewrite in simplest terms: 9(-6r – 3) + 2(r +9)
Answer:
I think its 'r= 15/7=0.467'
Step-by-step explanation:
What are the x- and y-intercepts of the graph of y = x2 + x - 6? (1 point)
O x-intercepts: (3, 0) and (2,0)
y-intercept: (0,6)
O x-intercepts: (3.0) and (-2,0)
y-intercept: (
0-6)
x-intercepts: (-3,0) and (2.0)
y-intercept: (0-6)
x-intercepts: (-3,0) and (2.0)
y-intercept: (0.6)
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
find the slope interecepts of the line 2x+3y+10=0
Answer:
slope of line(m)=-2/3
Step-by-step explanation:
from the formula
slope of line(m)=-(coefficient of x component / coefficient of y component)
=-(2/3)
PLS HELP FIND ANGLE MEASUREMENTS
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
Solve the quadratic equation 3x^2+8x=30 by completing the square.
Which expression correctly represents the solutions of the equation?
4±√74/3
-4±√106/3
8±2√106/6
-3±√26/3
Answer:
B
Step-by-step explanation:
im bad at explaining this :(
Help needed. Only 1-5 is needed help on plz and ty
Answer:
number 5 is y= 3 7-3=4x4=16
Step-by-step explanation:
what is 1983917481724869826846164619/1816498646149816496416461984628+28319727847124798-274812987198463861294=?
Answer:
-2.7478467e+20
Step-by-step explanation:
Ty google :3
You purchased concentrated cleaner that must be diluted before use. Container a is the cleaner, which is 20% solution. Container b is pure water. You are mixing together the contents of container a and container b to produce 40 gallons of 9% solution. How many gallons from each container are needed to create the 40 gallons of 9% cleaning solution?
Answer:
18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.
Step-by-step explanation:
Given that the container [tex]a[/tex] has 20% concentrated cleaner
and container [tex]b[/tex] has pure water which has 0% cleaner.
Let x gallons from container a and y gallons from the container b are mixed to get a 9% concentrated solution.
So,
[tex]9\%\; \text{of}\; (x+y) = (20\% \; \text{of}\; x )+(0\% \; \text{of}\; y)\cdots(i)[/tex]
As the total amount of the final solution= 40 gallons
So, [tex]x+y=40\cdots(ii)[/tex]
Using the value of equation (ii) in equation (i), we have
9% of 40 = 20% of x
[tex]\Rightarrow 0.09\times 40=0.2 \times x[/tex]
[tex]\Rightarrow x=\frac{0.09\times 40}{0.2}[/tex]
[tex]\Rightarrow x=18[/tex] gallons.
From equation (ii),
18+y=40
[tex]\Rightarrow y=40-18=22[/tex] gallons.
Hence, 18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.
Base salary is 100 percent, added bonus is 6 percent, total salary is 106 percent.
Use the diagram to help you solve the problem.
Mark is a receptionist for Exclusive Auto Sales. His base salary is $21,000. He has a good year of customer service, so the company also gives him a 6 percent year-end bonus based on his salary. How much does Mark make, including his base salary and the year-end bonus?
Answer:
22,260
Step-by-step explanation:
Answer:
i just took the answer thing and it would be 22,260 sorry i am so late with the answer but yea hope this helps
At the school festival ,heather can buy 25 game tickets for 10 dollars, or she can pay 0.50 cent per game ticket.whick option has the lesser price per ticket.
Answer:
The 10 dollars for 25 tickets
Step-by-step explanation:
i need help with this
Answer:
Hey there..Sorry but, I don't know the answer to this..! Wish I could help.
Graph this line using the slope and y-intercept:
y = 8x - 6
Click to select points on the graph.
8
6
4
No
-6
-4
-2
-10
-8
0
co
4
2
6
10
-2
-4
-6
CO
-104
The graph of the equation y = 8x - 6 is a straight line.
What is slope intercept form?The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept
(0, b).
Given is an equation, y = 8x - 6
Finding the coordinates,
Put x = 0, y = -6
(0, -6)
Put y = 0
8x = 6
x = 0.75
(0.75, 0)
Plotting the graph,
Hence, we will get a straight line of the graph.
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can someone please help? i would really appreciate it :)
A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth? A. 8.5 cm B. 7.5 cm C. 5.5 cm D. none of the above
Answer:
The answer is B
Step-by-step explanation:
Please help. It’s due today
Answer:
There's nothing there I believe you forgot to add a link just add or create another question and i'll see what I can do :)
Step-by-step explanation:
What is the congruence statement?
Answer:
triangle pjl is congruent to it's by side side side theorem
Question 12 pts
Line a passes through the points (-2, 3) and (4, 6), line b passes through the points (0, 2) and (2, 3). Are these lines parallel?
Group of answer choices
No, they are not parallel
Yes, they are parallel because their slopes are negative reciprocals
Yes, they are parallel because they have the same slope
Not enough information to answer
Flag this Question
Question 22 pts
Write an equation for the line that passes through the point (4, -1) and is parallel to the line y = 2x - 5.
Group of answer choices
LaTeX: y-1=2\left(x-4\right)y − 1 = 2 ( x − 4 )
LaTeX: y+1=2\left(x-4\right)y + 1 = 2 ( x − 4 )
LaTeX: y+1=5\left(x-4\right)y + 1 = 5 ( x − 4 )y + 1 = 5 ( x − 4 )
LaTeX: y-1=5\left(x-4\right)y − 1 = 5 ( x − 4 )y − 1 = 5 ( x − 4 )
Flag this Question
Question 32 pts
Write an equation for the line that passes through the point (-2, -4) and is perpendicular to the line y = 3x - 2.
Group of answer choices
LaTeX: y+4=-\frac{1}{3}\left(x+2\right)y + 4 = − 1 3 ( x + 2 )
LaTeX: y+4=\frac{1}{3}\left(x+2\right)y + 4 = 1 3 ( x + 2 )
LaTeX: y-4=-\frac{1}{3}\left(x-2\right)y − 4 = − 1 3 ( x − 2 )
LaTeX: y-4=\frac{1}{3}\left(x-2\right)y − 4 = 1 3 ( x − 2 )
Flag this Question
Question 42 pts
Write an equation for the line that passes through the point (-1, 5) and is perpendicular to the line LaTeX: y=-\frac{1}{2}x-6y = − 1 2 x − 6
Group of answer choices
LaTeX: y-5=2\left(x-1\right)y − 5 = 2 ( x − 1 )
LaTeX: y-5=-2\left(x-1\right)y − 5 = − 2 ( x − 1 )y − 5 = − 2 ( x − 1 )
LaTeX: y-5=-2\left(x+1\right)y − 5 = − 2 ( x + 1 )y − 5 = − 2 ( x + 1 )
LaTeX: y-5=2\left(x+1\right)y − 5 = 2 ( x + 1 )
Flag this Question
Question 52 pts
Write an equation in standard form for the line that passes through the point (3, -4) and is parallel to the line LaTeX: y=\frac{1}{2}x+8y = 1 2 x + 8
Group of answer choices
LaTeX: x-2y=7x − 2 y = 7
LaTeX: x-2y=-16x − 2 y = − 16x − 2 y = − 16
LaTeX: x-2y=11x − 2 y = 11
LaTeX: x-2y=14
Answer:
tour answer should be no they are not be parellel
Step-by-step explanation:
Answer:
tour answer should be no they are not be parellel
Step-by-step explanation:
GUYS PLEASE HELP ME ive been struggling with this for the past 15 minutes
Answer:
Loading Answer...
Step-by-step explanation:
Loading Explanation...
Ruby's family took a road trip to Mount Rushmore. Ruby slept for the last 476 miles of the trip. If the total length of the trip was 700 miles, what percentage of the total trip had they traveled when Ruby fell asleep?
700 - 476 =
700
+476
______
1176
Write 0.15 as a fraction in simplest
Answer: 3/20 also known as 15% Hope this helps Have a great night
Step-by-step explanation:
do all of the digits in 8.88 have the same value? and explain why.
Answer:
No
Step-by-step explanation:
Mitochondria is the powerhouse of the cell
Work out the length x pls
Answer:
~17.67
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
7.5^2+16^2=c^2
~17.67
Answer:
Step-by-step explanation:
We use pythagorus theorem which is; a²+b²=c²
(16cm)²+(75/10cm)²=x²
256cm²+225/4cm²=x²
1249/4cm²=x²
√1249/4cm²=√x²
312.25cm=x
78 is 0.6% of what number? Use pencil and paper. Would you expect the
answer to be a lot less than 78, slightly less than 78, slightly greater than 78, or
a lot greater than 78? Explain.
78 is 0.6% of
(Type an integer or a decimal.)
Answer:
Answer is
13000
Step-by-step explanation:
78÷0.6%=13000
Is 2 greater than -9
Answer:
yes
Step-by-step explanation:
any positive number is greater than a negative
1.
Susan has five blocks of candy. She wantsstwo ciwe chook into -size pieces of
candy. How many pieces of candy willstrebe anettonale?
A group of students was asked, "How many hours did you watch television last week?" Here are their responses: 9, 16, 11, 19, 4, 10, 15, 19
Answer:
So what's your Question.
I think The Mean ????
Step-by-step explanation:
So it is Add all the Values which is 103
Divide it by no. of Values which is 8
You'll get 12
Which is Mean !!!!
Simplify: 2(5+3x) + (x + 10)
Answer:
= 20 + 7x
Step-by-step explanation:
2(5+3x) + (x + 10)
10 + 6x + (x + 10)
= 20 + 7x
The simplified expression is 20+7x.
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given:
2(5+3x) + (x + 10)
Now, simplifying
10 + 6x + x +10
=10 + 10 + 6x + x
=20 + 7x
Hence, the simplified expression is 20+7x
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You only have to answer 7,8 but if you want you can do 9 and 10
Answer:
#7) x = 3
#8) x = 9
Step-by-step explanation:
# 7
Well AOB + BOC = AOC so...
4x - 1 + 2x + 15 = 8x + 8 (collect like terms)
6x + 14 = 8x + 8 (subtract 8 on each side)
6x + 6 = 8x (subtract 6x on both sides)
6 = 2x (divide by 2 on both sides)
3 = x
#8
COD + BOC = BOD so..
8x + 13 + 3x - 10 = 12x - 6 (collect like terms)
11x + 3 = 12x - 6 (add 6 on both sides)
11x + 9 = 12x (subtract 11x on both sides)
9 = x
Hope this helps!!
What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)
Step-by-step explanation:
Hey there!
Note: Use double point formula for finding the eqaution which passes through two points.
Given;
The points are; (1,-3) and (3,1).
Use double point formula.
[tex](y - y1) = \frac{y2 - y1}{x2 - x2} (y - y1)[/tex]
Put all values.
[tex](y + 3) = \frac{1 + 3}{3 - 1} (x - 1)[/tex]
Simplify it.
[tex](y + 3) = \frac{4}{2} (x - 1)[/tex]
[tex]y + 3 = 2(x - 1)[/tex]
[tex]y + 3 = 2x - 2[/tex]
[tex]y = 2x - 2 - 3[/tex]
[tex]y = 2x - 5[/tex]
Therefore, the eqaution is y = 2x-5.
Alternative:
Steps:
Find slope using slope formula and use one point formula.Simplify in the form of y = mx+c form.Formula:
Slope = (y2-y1)/(x2-x1)One point formula= (y-y1)= m(x-x1)The points are; (1,-3) and (3,1).
Now;
Slope= (1- (-3))/(3-1)
= (1+3)/2
= 2
Again;
Using one-point formula.
(y+3) = 2(x-1)
y+3= 2x-2
y = 2x -5
Therefore, the equation is y = 2x-5.
(You can follow up any method you want)
Hope it helps....