The range of a function is the possible output values the function can have.
The range of the function is all real values except 0
The function is given as:
[tex]\mathbf{y = \frac{1}{4x + 1}}[/tex]
When the denominator of the function is 0, the function would not have a real value.
This means that:
[tex]\mathbf{y \ne 0}[/tex]
i.e. the value of y cannot be 0.
Hence, the range of the function is all real values except 0
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if (x-10) is a factor of f(x), which of the following must be true? (50 points)
A. Neither x= -10 or x=10 are roots of f(x)
B. f(-10)=0
C.f(10)=0
D. Both x=10 and x=-10 are roots of f(x)
Answer:
C, f(10)=0
Step-by-step explanation:
Just replace x-10 into f
i'm so confused help me pelase
Answer:
Table 2
Step-by-step explanation:
We can solve this by dividing the number of pizzas at each table by the number of kids at each table. This will tell us how much pizza each kid is able to eat:
Table 1:
2 pizzas/5 kids = 2/5 pizzas per kid = 0.4 pizzas per kid
Table 2:
3 pizzas/7 kids = 3/7 pizzas per kid = 0.429 pizzas per kid
Table 3:
5 pizzas/12 kids = 5/12 pizzas per kid = 0.417 pizzas per kid
The kids at table 2 are able to eat slightly more pizza than the kids at the other tables.
According to the Rational Root Theorem, the following are potential roots of f(x)=9x2−3x−2.1,
−1,23,19
Which is an actual root of f(x)?
Step-by-step explanation:
9x2 -3x -2 factors to (3x-2)(3x +1)
solve 3x-2 =0 and 3x+1=0
making the roots -1/3 and 2/3
Solve for x
………………..
Doug digs a hole that is 1.7 feet below ground level. He plants a bush that is 3 7/10 feet tall from the bottom of the root to the top branch. how much of the Bush is above the ground? (help this assignment is apart of my grade!)
Answer:
2 feet
Step-by-step explanation:
37/10 - 1.7
3.7 - 1.7
2.0
= 2 feet
I need to know the answer to 2 1/3 x 4/5
Answer:
Simplify the expression.
Exact Form:
28/15
Decimal Form:
1.8¯6
Mixed Number Form:
1 13/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Convert 2 1/3 to improper fraction
[tex]2\dfrac{1}{3}*\dfrac{4}{5}=\dfrac{7}{3}*\dfrac{4}{5}\\\\\\=\dfrac{7*4}{3*5}\\\\\\=\dfrac{28}{15}\\\\= 1\dfrac{13}{15}[/tex]
7^-12 x 7^5 Simplified
Help Anyone know this
Answering part A:
5x + -3x 7y + 3y + 2y 4xy doesn't have a like term
Step-by-step explanation:
like terms are when in an equation they might have variables that match like 4y + 7y they have the same variable which is y or 6 + 7 they don't have a variable at all but they are similar in that way. Btw why it says -3x is because I changed the equation to be all addition so I did kcc you don't have to do that if you find a different solution :) anyway lets move on to part b
Answering part B:
4xy + 2x −2y
what is the verbal expression for 6f^2+5f
Answer:
f = 5/6 = 0.833 or f = 0
Step-by-step explanation:
There are four consecutive integers that add up to 22 what is the greatest integer
Answer:
7
Step-by-step explanation:
We can use the equation:
x + (x + 1) + (x + 2) + (x + 3) = 22
Combine like terms
4x + 6 = 22
Subtract 6 from both sides
4x = 16
Isolate x
x = 4
Plug in x
4 + (4 + 1) + (4 + 2) + (4 + 3) = 22
Solve
4 + 5 + 6 + 7 = 22
7 is the greatest integer
I need the answer FAST
Answer:
x = -9, 4
Step-by-step explanation:
The sides are marked congruent, so you have ...
x^2 +5x = 36
Subtracting 36 puts this in standard form:
x^2 +5x -36 = 0
To factor this, you need to find factors of -36 that have a sum of 5.
-36 = (-1)(36) = (-2)(18) = (-3)(12) = (-4)(9) = (-6)(6)
The sums of these factor pairs are 35, 16, 9, 5, 0.
The pair with a sum of 5 is (-4)(9), so the factorization of the quadratic is ...
(x -4)(x +9) = 0
The solutions are the values of x that make the factors zero:
x = 4, x = -9
Both of these solutions work in this problem.
you eat 3/10 of a packet
of donuts. your friend eats 1/5 of
the pack of donuts. How much of
the pack do you and your friend
eat?
Answer:
5/10 or 1/2 is the answer I think
there are 15 pieces of fruit in a bowl and 6 of them are oranges.what is the percenage of fruits are in oranges
Hi there!
We can find the percentage by expressing the amount of oranges to total fruits as a fraction:
[tex]\text{ oranges to total fruit} = \frac{\text{x Oranges}}{\text{ y total pieces of fruit}}[/tex]
Plug in the given values:
[tex]\text{ oranges : total fruit} = \frac{\text{6}}{\text{15}} = 0.4[/tex]
Convert to a percentage by multiplying by 100:
0.4 × 100 = 40%.
[tex]\boxed{\text{40\% of total pieces of fruit are oranges}}[/tex]
Dillon earned $170 working 20 hours at the carwash what was his hourly rate of pay?
To find this answer, we must divide the amount Dillion earned, by the time he put into his work.
170 / 20 = 8.5
Therefor, we now know that Dillion makes $8.5 an hour.
4. On Monday, a department store sold 30 white and blue sweaters in total. If a white sweater is 398 baht, and a blue sweater is 420 baht, the total sales are 12,424 baht. How many sweaters in each color did this department store sell?
The number of white sweaters will be 8 while the number of blue sweaters will be 22.
Let white sweaters be represented by w.Let blue sweaters be represented by bTherefore, the equation to solve the question will be:
b + w = 30 .....i
420b + 398w = 12424 .... ii
From equation i, b = 30 - w
Since 420b + 398w = 12424
420(30 - w) + 398w = 12424
12600 - 420w + 398w = 12424
Collect like terms
- 420w + 398w = 12424 - 12600
-22w = - 176
w = 176/22 = 8
Since b + w = 308
b = 30 - 8 = 22
Therefore, there are 8 white and 22 blue sweaters.
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You bought 4 hamburgers you gave a cashier $50 bill and get $22 change how much was each hamburger
Answer:
$7
Step-by-step explanation: Five step plan
1. How much is each hamburger?
Variables
Price paid : $50
Change: $22
No. of hamburgers: 4
2. Price for all hamburgers. 50-22 = 28
3. y(price of each hamburger) = 28/4
4. y = 7
5. The price of each hamburger is 7
What is the equation of this line *
Answer:
I would have to see the line to answer the question.
Can anyone help me with this question?
Answer:
sorry I can't I am too young
Step-by-step explanation:
There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?
Answer:
32
Step-by-step explanation:
Trust me its hard to explain.
PLEASE HELP IT’S DUE TMR!!
Answer:
(a) 1.0792 x 10³
(b) 3.769 x 10³
(c) 9.985 x 10³
This should be the answer to the problems, the rounding part got me confused for a second.
Significant digits are numbers after the decimal that aren't 0. So the 1.0792, the 0 isn't a significant digit.
Answer ASAP: log base 4 of 405
Find the value of x for which m ll n
Answer:
x=54
Step-by-step explanation:
2x+13=3x-41
-13 -13
__________
2x=3x-54
-3x -3x
__________
-1x=-54
__ __
-1 -1
X=54
I Hope this helped <3
Answer:
x = 54
Step-by-step explanation:
If m||n, these two angles will be equal in degrees
3x - 41 = 2x + 13
3x - 2x = 13 + 41
x = 54
Which expression is equivalent to (9+52) - 3(6x)?
A.) -23x+9
B.) -13x+9
C.) 11x+6
D.) 14x+12
need help please and thank you!!
Answer:
x=125
Step-by-step explanation:
Since the sum of the angles is 720 degrees, you can set up the following equation:
120+100+120+120+x+(x+10)=720
2x+470=720
2x=250
x=125
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase?
Answer:
1.99c + 59 ≥ 75, where c ≥ 8.04
Step-by-step explanation:
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.3% How much interest will the customer earn in 30 years
We must use the simple interest formula which is: A = P(1+rt) where
A = output amount , P = initial amount, r = rate as a decimal, and t = time.
so in this case we would write:
A(30) = P(1+rt) = 3000(1 + 0.013(30)) = 4170
We then see that A(30) is equal to $4170 at 30 years.
Calculate Unit Rates
please help
Find the unit rate for each problem.
Answer:
1. 3 tacos per person
2. 8 chairs per table
3. 6 avocados per bag
Step-by-step explanation:
1) Divide 45 by 15 to get the unit rate: # of taco per person.
45 = 15x
45/15 = 15x/15
3 = x
3 tacos per person
2) Divide 72 by 9 to get the unit rate: # of chairs per table.
72 = 9x
72/9 = 9x/9
8 = x
8 chairs per table
3) Divide 42 by 7 to get the unit rate: # of avocados per bag.
42 = 7x
42/7 = 7x/7
6 = x
6 avocados per bag
Explain how 1 + 1 can be three.
Will mark brainliest
Answer:
1+1=2
1+1−52=2−52
(1+1−52)2=(2−52)2
(1+1−52)2=22−10+(52)2
(1+1−52)2=4−10+(52)2
(1+1−52)2=9–15+(52)2
(1+1−52)2=32–15+(52)2
(1+1−52)2=(3−52)2
1+1−52=3−52
1+1=3
In an experiment, the temperature of a sample is measured as 16 degrees Celsius.
If the percent error is 0.75%, how can you report the temperature of the sample using the absolute error and the actual temperature value in degrees Celsius?
-16±0.12
-16±12
-16±0.047
-16±4.7
Answer: T=16 ± 0.12 ° CA Aw
Step-by-step explanation:
solve pls brainliest
The answer for a is +2.
The answer for b is +256.