Answer:
1) (f+g ) x = (x²-4)+ (x+2) = x²+ x –2
2) (f - g ) x = (x²-4) – (x+2) = (x²-4)+ ( -x - 2) = x²–x–6
3) (f × g ) x = (x²-4)(x+2) = x³+2x²– 4x – 8
4) (f / g) x = (x²-4) / (x+2) = x – 2
5) ( f + g ) 4 = (x²-4)+ (x+2) = ((4²)-4)+ (4+2) = ( 16–4) + (6) = 12+6 = 18
I hope I helped you^_^
Sets question with option answers. Help please
Answer:
best bet is 6
Step-by-step explanation:
A rental car agency charges $220 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $352.00?
Answer:
880 miles
Step-by-step explanation:
352 - 220 = 132
132 ÷ 0.15 = 880
880 miles
Peter pay $79.80 for returning a bicycle for 6 hours, what was the rate per hour
Answer:
$13.3 per hour
Step-by-step explanation:
for 6 hour the cost is $79.80
for 1 hour the cost is $79.80/6
$13.3 per hour
Find the area of the square whose side is 3x2 - y
Answer:
3X2 =6-y
6-y
——-
-6-y = -y squared
Step-by-step explanation:
Elementary algebra 1/4 divided by 3 equals
Answer:
1/12
Step-by-step explanation:
multiply by three so 4x3 is 12 and that's 3 equal parts
ILL GIVE BRAINLIEST
evaluate the expression. 2•7(3^2)/3
Answer:
[tex] \frac{7 \times {3}^{2} }{3} \\ \frac{7 \times 3 \times 3}{3} \\ = 7 \times 3 = 21 \\ thank \: you[/tex]
Helpp
Ok I don’t know how they got 3y-24
Answer:
y = -5/3x + 3
Step-by-step explanation:
First lets turn the equation from standard form to slope intercept form.
3x - 5y = 1
~Subtract 3x to both sides
-5y = 1 - 3x
~Divide -5 to everything
y = -1/5 + 3/5x
~Reorder
y = 3/5x - 1/5
Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.
3/5x -> -5/3x
Now that we have the slope, we can use the given point to find the y-intercept.
y = -5/3x + b
8 = -5/3(-3) + b
8 = 5 + b
3 = b
Put all the information we solved for into a final equation.
y = -5/3x + 3
Best of Luck!
Find the area of the shaded region.
There are four parts of a circle, so you have to find out the area of the circle:-
10 cm=Radius
[tex]10^{2}[/tex]=100
[tex]\pi[/tex]=3.14
3.14*100=314 [tex]cm^{2}[/tex]
Now, find the area of the square box:-
Since half the side of the square is 10 cm, the total length of one side is 2*10 which is 20 cm.
Area=S*S
=20*20=400 [tex]cm^{2}[/tex]
Now subtract the area of the box from the area of the square:-
400-314= 86 [tex]cm^{2}[/tex]
That is the area of the shaded part.
Happy to help you!
If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4
Answer:
Y=K×X
when Y=-8 and X=4
-8=K×4
-8=4K divide both sides by 4
K=-2 constant
To find Y when X=-4,Y=? and K=-2
Y=-2×-4
Y=8
brainliest to correct answer, please hurry
Start at 3, subtract 5 and you get -2
Write a inequality please help.
a number is at least -43
Answer:
x≥ -43
Step-by-step explanation:
at least means greater than or equal to
Let x be the unknown number
x≥ -43
find the value of a and b in (a,2)=(2,b)
Answer:
a=2 and b=2...............
1 year is what fraction of a decade?
Answer:
It is 1/10
Step-by-step explanation:
One decade has 10 years
[tex]{ \sf{1 \: decade = 10 \: years}} \\ { \sf{ \frac{1}{10} \: decade = 1 \: year}}[/tex]
Answer:
10% , 1/10, or 10/100
Step-by-step explanation:
There are 10 years in a decade
1/10 represents the 1 year out of the 10!
Solve (x - 2 < 5) ∩ (x + 7 > 6).
Ø
{x | x < -1 x < 7}
{x | -1 < x < 7}
x - 2 < 5 ⇒ x < 7
x + 7 > 6 ⇒ x > -1
Together, we have -1 < x < 7, which in set notation is
[tex]\left\{x \mid -1 < x < 7\right\}[/tex]
(third choice)
Math- what’s 2+2 and how is it calculated
Answer:
4
Step-by-step explanation:
we have 2oranges from you and another 2oranges from your friend, you have 4oranges, simple
. Mr. Sheng is using a faucet attachment to fill the fish tank in his blology classroom. The graph below shows the amount of water in the
tank during the first several minutes since he turned on the faucet. What is the slope of a line joining the points on the graph? If your
answer is not an integer, express it as a decimal.
Answer:
8
Step-by-step explanation:
Slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁)
We have two points on the graph, (2, 16) and (6, 48)
Let's say (2, 16) = (x₁, y₁) ( there's no reason why (6, 48) can't be (x₁, y₁), but one of them has to be it) and (6, 48) = (x₂, y₂). Our slope is then
(y₂-y₁)/(x₂-x₁) = (48-16) / (6-2) = 32 / 4 = 8
Let f be a function defined on the set of positive rational numbers with the property that f(a · b) = f(a) + f(b) for all positive rational numbers a and b. Suppose that f also has the property that f(p) = p for every prime number p. For which of the following numbers x is f(x) < 0?
a. 17/32
b. 11/16
c. 7/9
d. 7/6
e. 25/11
¿How to solve with logarithms?
See image please
Answer:
Step-by-step explanation:
Apply the natural log to both sides we have
[tex](-(2/3)x -1 ) \ln 2 = (3-2x)\ln 3\\-x(2/3)\ln 2 + 2x\ln 3 = 3\ln 3 -\ln 2\\x\left(\frac{-2}{3}\ln 2 +2\ln 3\right)=\ln (27/2)\\x\left(\ln 9 -\ln \sqrt{8}) =\ln(27/2)\\\\x\ln (9/\sqrt{8})=\ln(27/2)\\\\x= \ln(27/2) / \ln(9/\sqrt{8})[/tex]
You are designing a metal sculpture that will be placed in front of your school. You sketch an initial design
with a scale of 1 cm = 2 feet. The design shows that the sculpture has a length of 8 feet.
After reviewing your design, the principal asks you to use the same drawing, but change the scale to 1 cm
= 5 feet.
What will be the length of the sculpture using the new scale?
A. 8 feet
B. 12 feet
C. 15 feet
D. 20 feet
Using proportions, it is found that the length of the sculpture using the new scale is given by:
D. 20 feet.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The initial scale is of 1 cm = 2 feet, with a sculpture of 8 feet, hence the length of the drawing is given by:
l = 8/2 = 4 cm.
For the new scale, 1 cm = 5 feet, and you keep the drawing of 4 cm, hence the length of the sculpture is given by:
l = 4 x 5 = 20 feet.
Hence option D is correct.
More can be learned about proportions at https://brainly.com/question/24372153
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Scores 18 20 16 13. Find this student's mean quiz score
Answer: 16.75
Step-by-step explanation:
Answer:
16.75
Step-by-step explanation:
To find the mean, add up all the number
18+20+16+13
67
Then divide by the number of quizzes
67/4
16.75
Solve 4.5 divided by 0.9
Answer:
4.5 / 9 = 1/2
What is 1.7¯ expressed as a fraction in simplest form?
16/9.................
Answer:
16/9
Step-by-step explanation:
3√12•√6
please show a step by step explanation
Answer: [tex]18\sqrt{2}\\\\[/tex]
This is the same as saying 18*sqrt(2) or you could say 18√2
============================================================
Explanation:
We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
So we could have this as our steps:
[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]
Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]
The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.
13. Solve 5x² - 6x + 1 = 0 using the quadratic formula.
please help me and show work
Answer: x= 1, [tex]\frac{1}{5\\}[/tex]
Step-by-step explanation:
The quadratic equation is
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
and
[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
So we just need to sub in the proper numbers from the equation given, in this case, it would result in
[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]
and
[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]
Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers
x= 1, [tex]\frac{1}{5\\}[/tex]
find the value of xand y : x=2y and x+y=6
Answer:
y=2 x=4
Step-by-step explanation:
Substitute x with 2y so the second equation is 2y+y=6
Then simplify your new equation:
3y=6
y=2
If y=2 and x=2( 2) then x=4
MaryAnne has 90 quilt squares. She plans to use 32 of them to make a quilt. What percent of her quilt square stock is she using? List your answer as a percent rounded to the nearest tenth.
Percentage = ( number used / total number) x 100
32/90 = 0.3555
0.3555 x 100 = 35.56%
Rounded to nearest tenth = 35.6%
Mary Anne is using about 35.6% of her quilt squares stock.
What is percent?A percent is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Percent FormulaPercentage = (Value/Total value) × 100.
According to the given question.
Total number of quilt squares Mary Anne have = 90
Number of quilt squares Mary Anne is using = 32
Therefore,
The percent of her quilt square she is using
= [tex]\frac{32}{90} \times 100[/tex]
[tex]= 0.3555\times 100[/tex]
[tex]= 35.6[/tex] %
Hence, Mary Anne is using about 35.6% of her quilt squares stock.
Find put more information about percent here:
https://brainly.com/question/14699403
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How to Drag and drop 5/8 and m
Answer:
What do you mean?
Step-by-step explanation:
I don’t understand.
What is the probability of getting tails on two coins only
Answer:
This states that the probability of the occurrence of two mutually exclusive events is the sum of their individual probabilities. As you can see from the picture, the probability of getting one head and one tail on the toss of two coins is 0.5.
Step-by-step explanation:
may this answer is helpful for you
please answer this question
Answer:
3
Step-by-step explanation:
[tex]log(3x^{3}) - log(x^{2}) = log(\frac{3x^{3}}{x^{2}})\\log(27) - log(x) = log(\frac{27}{x} )\\[/tex]
therefore,
[tex]\frac{3x^{3} }{x^{2} } = \frac{27}{x} \\3x=\frac{27}{x} \\3x^{2} =27\\x= +3\\x=-3[/tex]
however, since logarithms cannot have negative arguments, x can only be +3
i.e. log(-3) is impossible, and will return MATH ERROR on a calculator.
Help please due today
Answer:
Base: 24 and height:6
Step-by-step explanation:
Answer:
Base: 24
Height: 6
Step-by-step explanation:
The question says a scale factor of 1/2 so divide by 2. It says scale back
so you know as well that your answer is going to get bigger.
Original Base = 48/2 or (48)x(1/2)
Original Height = 12/2 or (12)x(1/2)