Answer:
-3x-7
Step-by-step explanation:
Combine like terms
-6+-1 = -6-1 = -7
Hence, it's -3x-7
Write the inverse of f(x)=(2x-4)/x PLS SHOW STEPS
Answer:
f^-1(x) = -4 / x - 2
Step-by-step explanation:
First swap the x and y values. This is done by setting f(x) to x, and x to y.
f(x) = (2x - 4) / x → x = (2y - 4) / y
*Then solve for y like you would for a normal equation*
x = (2y - 4) / y
×y ×y
(multiplication property of equality)
*This will isolate the extra y term*
__________________________
xy = 2y - 4
-2y -2y
(subtraction property of equality)
*This is done to group the like terms together, because they both share a y term now*
_____________________________
xy - 2y = -4
| |
v v
( x - 2 )
(GCF)
*In this case the GCF is y because it is the factor held in common, reverse distributive property*
________________________________
y(x-2) = -4
÷(x-2) ÷(x-2)
(Division property of equality)
*This is the last and final step to isolate the y term completely, so we can find the inverse*
y = -4/x-2
*This is the inverse*
Now just set it in function form as an inverse:
y = -4/x-2 → f^-1(x) = -4/x-2
Three girls cut out decimal models of hundredths. Amber doesn't shade any of her models. Grace qualifies three fifths of a model. Marsha shades one model and seven-tenths of another model. What decimal represents the number of shadows of each girl? Click on the icon to view the decimal models of hundredths. The decimal represents the number of shades of amber. The decimal represents the quantity that represents the quantity that Marsha qualifies. Tones of grace. The decimal (write whole numbers or decimals).
Answer:
[tex]Amber = 0[/tex]
[tex]Grace = 0.60[/tex]
[tex]Marsha =1.70[/tex]
Step-by-step explanation:
Given
Decimal Grid = Hundredths
[tex]Amber = None[/tex]
[tex]Grace = \frac{3}{5}th[/tex]
[tex]Marsha = 1 + \frac{7}{10}th[/tex]
To solve for each:
We have:
For Amber:
[tex]Amber = 0 * 100[/tex]
[tex]Amber = 0[/tex]
For Grace:
[tex]Grace = \frac{3}{5}th[/tex]
[tex]Grace = \frac{3}{5} * 100[/tex]
[tex]Grace = \frac{300}{5}[/tex]
[tex]Grace = 60[/tex]
This means that Grace shaded 60 of the hundredth models.
Decimal shaded is:
[tex]Grace = 60 * \frac{1}{100}[/tex]
[tex]Grace =\frac{60}{100}[/tex]
[tex]Grace = 0.60[/tex]
For Marsha:
[tex]Marsha = 1 + \frac{7}{10}th[/tex]
[tex]Marsha = \frac{10 + 7}{10}th[/tex]
[tex]Marsha = \frac{17}{10}th[/tex]
[tex]Marsha = 1.7th[/tex]
Multiply this by 100, to get the number of shaded
[tex]Marsha = 1.7 * 100[/tex]
[tex]Marsha = 170[/tex]
This means that Marsha shaded 170 of the hundredth models.
Decimal shaded is:
[tex]Marsha = \frac{170}{100}[/tex]
[tex]Marsha =1.70[/tex]
Which of these tables represents a linear function?
Answer:
B.
3 6
4 5
5 4
6 3
Step-by-step explanation:
As the x increases the y decreases
And there has to be a constant rate of change
The equation would be y = -x + 9
HELP ILL AWARD BRAINLIEST
Answer:
Step-by-step explanation:
1 hour you will make $10
2 hours you will make $20
10 hours you will make $100
The constant of proportionality is 10
and its x=10y
I don't understand what they mean when its says "x hours"
five million four thousand three hundred in standard for
Answer:
500,400,300
Step-by-step explanation:
is this correct?
Answer:
Your answer is 5004300
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)
If there are 40,075 km around the whole world, how many km will you drive if you went around the whole world 5 times?
Answer:
200,375
Step-by-step explanation:
just multiply 40,075 by 5
25 points help me please
Answer:
we need to know what the question is.
Step-by-step explanation:
Determine whether y varies directly with x. If so, find the constant of variation k write the equation
Answer:
It varies directly
k = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Table:
x y
7 11
8 13
9 15
10 17
Problem:, determine if y varies directly as x
Solution:
The equation to determine if they vary directly is;
y ∝ x
y = kx
From the table, y varies directly as x. As y increases, x also increases.
To find k, use any convenient value of y and x ;
y = 15 and x = 9;
15 = k x 9
k = [tex]\frac{15}{9}[/tex] = [tex]\frac{5}{3}[/tex]
Answer plz x thanks x
to solve this you would use pythagorean theorm which is a^2+b^2=c^2.
The hyotenuse is obviouly 11 and one of the side lengths is 4 so you would put 4^2+b^2=11^2 which is 16+b^2=121. You subtract 16 to get b^2 = 105 and then square root both sides, So the answer would be √105.
Susan had $30 before she bought 7 mugs. Afterwards, she only had $5.50 left. The scenario can be expressed by: 30 - 7k = 5.50 where k represents the price for 1 mug. What is the value of k? a) k = 24.50 b) k = -3.50 c) k = 5 d) k= 3.50
Answer:
Answer choice D. k is equal to 3.5
Step-by-step explanation:
In this equation, we must get the k all by its self. To do that, let's eliminate the 30. To do this, we must subtract 30 from both sides.
30 - 7k = 5.5
-30 -30
Then we get...
-7k = -24.5
Now we must get rid of the -7 that is multiplied by k. to do this, let's divide both sides by -7.
-7k = -24.5
-7 -7
And we get...
k = 3.5
And therefore, k is equal to 3.5. I hope this helps, and I hope it's not wrong, but I do not think it is.
C. Assume you are putting 10 gallons of gas a week in your car for 4 weeks at $2.25 a
gallon. How much are you spending on gas every month? |I
Answer:
22.50
Step-by-step explanation:
theirs 2 questions please help?
Answer:
"past" is one
Step-by-step explanation:
Answer:
past is one okkkk kkkkjjjjj
If a population consists of 540,000 people and a census is taken, how many
people are sampled?
A 5400
B. 540
C. 540,000
D. 54,000
The number of people who are sampled in the census is the whole population which is, 540,000.
Given that,
Size of the population = 540,000
We have to take a census regarding something which is not mentioned for this population.
In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.
So there can't be a sample which contains less number of individuals or units for taking the information.
So the whole population of 540,000 people are included in the sample.
Hence the correct option is C, which is 540,000.
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Write an expression that is equivalent to 5^-3
Answer:
1/125
Step-by-step explanation:
=1/5*5*5
=1/5^3
=1/125
Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:
5^-3 = 1/(5^3)
What is the equation 8x-7=4x+21
Answer:
x=7
Step-by-step explanation:
8x−7=4x+21
Step 1: Subtract 4x from both sides.
8x−7−4x=4x+21−4x
4x−7=21
Step 2: Add 7 to both sides.
4x−7+7=21+7
4x=28
Step 3: Divide both sides by 4.
4x
4
=
28
4
A local charity collected 163 cans of food
every day for 14 days. How many cans did they collect
in the first 10 days? How many did they collect in the
remaining 4 days? How many cans did they collect in
all? Solve this problem any way you choose!
Answer:
This was $14 less than twice what she spent for a blouse . How much ... From the first two equations, we have A=12B=12(3C)=32C ... How many days will it require for the son to plow the field alone?
Step-by-step explanation:
PLSSS HURRY!!! Thank youu
Answer:
c- 90
a and b- 45 each
Step-by-step explanation:
since the sum of all angles on the inside of a triangle is 180, and c is 90 degrees, you can subtradt 90 from 180 and divide that by 2, getting angles 1 and b.
Which of the following website features is the least useful when assessing the reliability of a website? (5 points)
Select one:
a. The author's background
b. The date the site was updated
c. The website's address
d. The website's title
Answer:
D: Website titles
Step-by-step explanation:
How do u solve this question?
At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S,S, in terms of t,t, representing the depth of snow on Amelia's lawn, in inches, tt hours after the snow stopped falling.
Answer:
s= -1.5t + 18
Step-by-step explanation:
The Equation to represent the depth of snow is s= -1.5t + 18.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We learn from the question that the snow's depth is s and that it takes hours to melt the snow.
The amount of snow is 12 inches deep after 4 hours of melting.
Now, keep in mind that the melting rate is 1.5 inches per hour.
and, 1.5 x 4 = 6 inches of snow will have melted in the four hours.
Thus, the initial snow depth will be 6 + 12 = 18 inches.
Hence, the Equation to represent the depth of snow is s= -1.5t + 18.
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0.0000123 written in standard form is__
Answer:
1.23 × [tex]10^{-5}[/tex]
Step-by-step explanation:
A number expressed in standard form has the form
a × [tex]10^{n}[/tex]
where 1 ≤ a < 10 and n is an integer
Express the number given as a number between 1 and 10, that ia
1.23 × [tex]10^{n}[/tex]
We require to obtain the original number by moving the decimal point by moving the decimal point back 5 places to the left.
Move to the right then n > 0
Move to the left then n < 0
Thus
0.0000123 = 1.23 × [tex]10^{-5}[/tex]
PLZ ANSWER THIS QUICK! THANKS!
Answer:
a) 300m
b) 15 miles
Step-by-step explanation:
a) 1 : 30 000
= 1x 30 000
= 30 000cm
= 30 000cm/ 100 Representing in metres
= 300m
b) 1 : 6
= 1x 2.5 : 6x 2.5
= 2.5 : 15
= 15 miles
13t+6=12t +21
What value of/ makes the equation true?
Answer:
t=15
Step-by-step explanation:
The Blue Plane travels at a constant speed of 120 miles per hour. If it travels for 2 1/2 hours to get to Pennsylvania how far did it go?
Answer:
The answer is 300 miles
Step-by-step explanation:
120x2=240
120x .5= 60
240+60=300
A windmill has eight equally spaces blades that rotate in the clockwise direction How many degrees must blade P rotate to reach location blade U?
a
225 degrees
b
45 degrees
c
120 degrees
d
180 degrees
Answer:
Option (A)
Step-by-step explanation:
Windmill is in the shape of a circle and each blade of the windmill is equally spaced.
There are 8 spaces in the windmill shown.
Therefore, angle between each blade = [tex]\frac{360}{n}[/tex]
Where n = number of blades
Angles between each blade = [tex]\frac{360}{8}[/tex]
= 45°
To reach the position of blade U by blade P will cover 5 angles between the blades.
Therefore, angle of rotation covered by P to reach U = 5×45° = 225°
Option (A) will be the correct option.
Rewrite the expression using the distributive property: 3(2r + 2)
Answer:
3(2r+2) = 6r + 6
Step-by-step explanation:
Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six
what is the unit rate for $1.99 per pound
Answer:
1.99 per pound means the cost of 1 pound is 1.99!!
Step-by-step explanation:
Unit rate means the rate of 1 item
alph and his brother are at a carnival. They separate from each other at the Ferris wheel at 1:00 PM, and they agree that they will each meet back at the Ferris wheel from time to time to see whether the other is ready to leave. Ralph checks the Ferris wheel every 15 minutes. Joe checks in every 24 minutes. At what time will they meet at the Ferris wheel again?
Answer: 3pm
Step-by-step explanation:
It will take them 120 minutes to meet back up together
24x5=120
15x8=120
Simplify the expression using the variable replacements.
2a² – 4bifa= 2andb = 1
Answer:
= 4
Step-by-step explanation:
2a^2-4b
=2(2)^2-4(1)
=2×4-4
= 8-4
=4
2x+b=w,for x i need to know what this answer is
Answer:
Let's take this step by step:
2x+b=w
2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)
2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)
2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)
x=w-b/2
Step-by-step explanation: