Answer:
Slope: -2/3
Y-intercept: 2
y = x² +1,x>0
find the inverse
Answer:
The inverse of x² +1 is:
[tex]\sqrt{x-1},\:-\sqrt{x-1}[/tex]
Step-by-step explanation:
Given
y = x² + 1, x>0
We know that A function g is the inverse of a function f if for y = f(x), x = g(y)
y = x² +1
Replace x with y
x = y² + 1
solve for y
y² = x - 1
Taking square root
[tex]y=\:\sqrt{x-1},-\sqrt{x-1}[/tex]
Thus, the inverse of x² +1 is:
[tex]\sqrt{x-1},\:-\sqrt{x-1}[/tex]
PLEASE HELP I DO NOT UNDERSTAND AT ALL AND SHOW YOUR WORK !!
write the equation of the line given the y- and x- intercepts
y intercept (-6,0), x-intercept (0,-8)
y intercept (0,-6), x-intercept (-2,0)
y intercept (0,8), x-intercept (1.6,0)
y intercept (0,7), x-intercept (-1.4,0)
Answer:
y intercept (-6,0), x-intercept (0,-8) : [tex]y = \frac{-4}{3}x -8[/tex]
y intercept (0,-6), x-intercept (-2,0): [tex]y = -3x -6[/tex]
y intercept (0,8), x-intercept (1.6,0): [tex]y = -5x + 8[/tex]
y intercept (0,7), x-intercept (-1.4,0): [tex]y = 5x + 7[/tex]
Step-by-step explanation:
y = mx + b
*note: b is the y intercept
1. y intercept (-6,0), x-intercept (0,-8)
[tex]m = \frac{-8 - 0}{0 - (-6)}= \frac{-8}{6} = \frac{-4}{3}\\y = \frac{-4}{3}x + b\\y = \frac{-4}{3}x -8[/tex]
2.y intercept (0,-6), x-intercept (-2,0)
[tex]m = \frac{0 - (-6)}{-2 - 0} = \frac{6}{-2} = -3\\y = -3x + b \\y = -3x -6[/tex]
3. y intercept (0,8), x-intercept (1.6,0)
[tex]m = \frac{0 - 8}{1.6 - 0}= \frac{-8}{1.6} = -5\\y = -5x + b\\y = -5x + 8[/tex]
4. y intercept (0,7), x-intercept (-1.4,0)
[tex]m = \frac{0 - 7}{-1.4 - 0} = \frac{-7}{-1.4}= 5 \\y = 5x + b\\y = 5x + 7[/tex]
Pls help
Solve for m
a=f/m
Answer:
m is not = 0
Step-by-step explanation:
hope this help
Lina works at shake shack which pays $9.25 an hour and the state takes 15% out of her salary for income taxes. She works 15 hours a week after school and on weekends for 5 weeks. How much is her paycheck a month?
Answer:
Lina should make $471.75 a month.
Step-by-step explanation:
If Lina makes $9.25 an hour and she works for 15 hours a week then you multiply those two numbers together. The resulting number is $555. Then you'll multiply that by .15 to find 15% of that number which is 83.25. After, you'll subtract that from $555, which gives you $471.75.
find scale factor, value of x, y & z please
I'm Super Duper Sorry But Unfortunately I Don't Know The Answer I Need Points Because I Have A Timed Test And I Need Answers For My Questions Again I'm Super Sorry I Wish I Could Help But I'm Desperate. : (
An item is regularly priced at $60. Brian bought it on sale for 80% off the regular price. How much did Brian pay?
Answer:
$12
Step-by-step explanation:
Since it was 80% off, he paid for 20%
20% = 0.2
(60)(0.2) = 12
12
Jimmy runs 8 meters per second. His little brother runs 3 meters per second so is given a 40 meter head start. How long will it take Jimmy to catch his little brother? How far into the race will this be?
Answer:
8 Seconds
Step-by-step explanation:
Since Jimmy runs 8 meters per second, we can multiply 8x8 to find where he will be after 8 seconds.
8x8 = 64
Since Jimmy's little brother runs 3 meters per second, we can multiply 3x8 to find where he will be after 8 seconds.
3x8 = 24
But, remember, Jimmy's little brother had a 40 meter head start. So we have to add 40 to his total.
24+40 = 64
Since Jimmy and his little brother's totals are both the same, Jimmy will catch up to his little brother after 8 seconds.
The sales tax for an item was $9.80 and it cost $490 before tax. Find the sales tax rate. Write your answer as a percentage.
Answer:
2%
Step-by-step explanation:
To solve this problem, a proportion would be best! We can set up the first fraction with the two numbers given to us. We'll use t to represent tax, and w to represent the whole. The first fraction will look something like this:
[tex]\frac{9.80t}{490w}[/tex]
Next, we'll set up our second fraction using knowledge of percents. Every percent is a part of 100%, so we can use 100 as our percent to represent the whole. Since we are solving for the percent that is out of 100, we'll use x to represent it. The final proportion should look like this:
[tex]\frac{9.80t}{490w} = \frac{x}{100w}[/tex]
To solve, we just need to cross-multiply and divide! First, multiply 9.80 by 100 to get 980. Finally, divide 980 by 490 to get a final answer of 2%. The sales tax rate is 2%. The final calculations are as follows:
9.80 X 100 = 980
980 / 490 = 2 or 2%
pls answer i need help
Answer:
the first one is 2/4 and 3/6
the second one is 4/6 and 6/8 and the equation is
3/4 times 4/6 = .5
Step-by-step explanation:
A photograph measures 10 cm by 18 cm
The photograph is enlarged by a scale factor of 1.5
(a)
Work out the new dimensions.
What's the square root of 1000 divided by 3
Answer:
10.5409255339
Step-by-step explanation:
cac
Please help I'll give brainliest
Answer:
m∠1 + m∠3
Step-by-step explanation:
Please please mark me brainliest and have a great day!
Evaluate the expression: 4(8 − 6)5 2 − 6 ÷ (−3).
Answer:
86 or 32, depending on the correctness of the syntax
Step-by-step explanation:
We use PEMDAS:
Parentheses: 4(2)5 2-6/(-3)
Exponents: I'm assuming that all the syntax is correct (so no exponents).
Multiplication and Division: 40*2+6 = 80 + 6
Addition and Subtraction: 86
If you copy+pasted this expression, then the original equation would have been: (4(8 − 6)^5)/(2 − 6 ÷ (−3)). We can use PEMDAS:
Parentheses: (4(2)^5)/(2 - 6 ÷ (−3))
We solve the parentheses individually using PEMDAS:Exponents: (4*32) <-- Numerator | Denominator -->(2 - 6 ÷ (−3))Multiplication and Division: 128 <-- Numerator | Denominator --> 2 + 2Addition and Subtraction: 128 < -- Numerator | Denominator --> 4We now have the following fraction: 128/4
That simplifies to 32
What is the scale factor of the dilation shown?
(Help please) geometry
Factor.
y^2-12y+20
i need help
Answer:
(y−10)(y−2)
Step-by-step explanation:
y=-x + 4 slope = y-intercept =
Answer: y intercept is 4
Step-by-step explanation:
the number + or - after x is the y intercept
To rent a moving truck for the day, it costs $33 plus $2 for each mile driven. Write an expression that represents the cost.
Step-by-step explanation:
y = cost, m = miles driven
y = 2m +33
2,000 - 61k = 48
In 1962, the population of a bird species was 2,000.
The population k years after 1962 was 48, and k
satisfies the equation above. Which of the following
is the best interpretation of the number 61 in this
context?
Answer:
61 is the rate at which the population changes every year
Step-by-step explanation:
Given
[tex]2000 - 61k = 48[/tex]
Required
Interpret 61
A linear equation has the form:
[tex]y = mk + b[/tex]
or
[tex]b + mk = y[/tex]
Where m is the rate
By comparison:
[tex]mk = -61k[/tex]
[tex]m = -61[/tex]
Hence, 61 represents the rate at which the population changes yearly.
The negative sign implies that the populatiin reduces
How much higher is the average cost at a clinic
than the average cost at a shelter?
Answer: the answer is 50
Step-by-step explanation: I got it right in the quiz
Answer:
50
Step-by-step explanation:
What is the quotient?
- -2
Answer: You need 2 terms so there isn't one
The term "quotient" is most commonly used to refer to the ratio of two quantities and , where. . Less commonly, the term quotient is also used to mean the integer part of such a ratio.
Step-by-step explanation:
A sign in a bakery gives these options: Option A: 12 cupcakes for $29 Option B: 24 cupcakes for $56 Option C: 50 cupcakes for $129 1. Find each unit price to the nearest cent, and be prepared to show your reasoning.
Answer:
Your answer
Option A = 241.67 cent per piece
Option B = 233.33 cent per piece
Option C = 258 cent per piece
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
Will someone please help me with this
Answer:
B. f(-5) = -70
Step-by-step explanation:
f(-5)= 10(-5) - 20
f(-5) = -50 - 20
f(-5) = -70
Answer:
f(-5) = -70
Step-by-step explanation:
f(-5) = 10(-5)-20
how do i find the ratio for the first two blanks then what are the last two?
Answer:
3/8 to 2
since it is 3/8 cups of water for every 2 cups of flour.
value of the ratio is 0.375/2
A train travels 228km in 4 hours and 45 minutes. What is its average speed in kilometers per hour?
Answer:
48 km/h
Step-by-step explanation:
The average speed is calculated by distance divided by time. So 228 / 4.45 gets the answer.
In a fruit cocktail for every 100ml Orange juice you need 12ml Apple juice and 8ml of coconut milk what is the ratio of Apple juice to coconut milk to orange juice expressed in its simplest form
PLS HELP ASAP rob is saving money for a new mp3 player. For every $15 he saves $8. On Sunday he earns $45 how much does he save
Answer:
the answer for this problem would be 24 dollars.
The mean weight of a group of dogs in a dog show is 38 pounds. If a certain dog in the show
has a z-score of 0, how much does it weigh?
Answer:
The weight of dogs x = 38pounds
Step-by-step explanation:
Step(i):-
Given that the mean weight of a group of dogs
μ = 38 pounds
Let 'x' be the weight of dogs
Let 'x' be the random variable in normal distribution
Given that z-score is zero
Step(ii):-
we know that the z-score
[tex]Z = \frac{x-mean}{S.D}[/tex]
⇒ [tex]0 = \frac{x-38}{S.D}[/tex]
⇒ 0 = x-38
⇒ x-38 = 0
⇒ x =38
Final answer:-
The weight of dogs x = 38pounds
Gloria typed a 36 -page document, in which she made 54 errors. Which statement describes the ratio of the number of pages to the number of errors?
A. For every 2 pages there are 3 errors.
B. For every 2 pages there are 5 errors.
C. For every 3 pages there are 2 errors.
D. For every 3 pages there are 5 errors.
PLEASE HELP MEEE!!!!!!
Answer:
its C
Step-by-step explanation:
You need to practice ratios u bih, stop cheating on questions u benchod
The accompanying diagram shows two triangles. Which proportion could be used to solve for x ?
The diameter of a circle is? So what does diameter mean?
Answer:
Its 2 x radius
Step-by-step explanation:
Answer:
Twice the radius length.
Step-by-step explanation:
Generally, the diameter is the length of a line that extends from one point on a circle to another point on a circle as long as that line passes through the center of the circle. Essentially, a diameter, in short, is twice the length of the radius of a circle.