HELP Which of the following is the range of the function based on the input-output table below?
Answers
Answer:
The correct answer is :
Range is: {1000,1100,1200,1300,1400,1500,1600}
Step-by-step explanation:
We are given here input-output table.
Let us define the domain and range of a function.
Domain is the set of values that can be given as input to the function.
and
Range is the set of values that comes out as the output of the function.
For example:
[tex]y = f(x) = 2x[/tex]
The domain of the function above is the set of values of x.
The range of function is the value of y or f(x).
For above example, range can be set of all Real numbers i.e. R.
Range for the above example will also be set of all Real numbers i.e. R.
From the given table in the question statement:
Input or Domain = {10,20,30,40,50,60,70}
Output or Range = {1000,1100,1200,1300,1400,1500,1600}
Related Questions
What is the numerical solution to the equation five less than three times a number equals four more than eight times the numbers?
A. -9/5
B. 1/11
C. -1/5
D. 1/5
Answers
Answer:
Option A
Step-by-step explanation:
Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
[tex]3x - 5 = 4 + 8x[/tex]
where x = " the number "
[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answers
Answer:
B
Step-by-step explanation:
Recall that [tex](g \circ f)(x)=g(f(x))[/tex]. In other words, we need to find [tex]f(x)[/tex] first and then put that value into [tex]g(x)[/tex].
We need to find [tex](g \circ f)(4) =g(f(4))[/tex]
[tex]f(x)=4x-2\\[/tex]
[tex]f(4)=4(4)-2=14[/tex]
[tex](g \circ f)(4) =g(f(4))=g(14)[/tex]
[tex]g(x)=-6x^2-8x-8[/tex]
[tex]g(14)=-6(14)^2-8(14)-8[/tex]
[tex]g(14) = (g \circ f) (4) =-1296[/tex]
What is the point-slope form of a line that has a slope of One-half and passes through point (–7, 2)? PLS HELP
Answers
Answer:
y -2= 1/2(x+7)
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y - 2 = 1/2(x - -7)
y -2= 1/2(x+7)
Answer:
D) y - 2 = 1/2(x - (-7))
Step-by-step explanation:
I just took the quiz on edge
what is the area of this title ?
Answers
Answer:
12 in^2
Step-by-step explanation:
A = l*w
= 2in * 6 in
= 12 in^2
Answer:
Area = 12 in.²
Step-by-step explanation:
Area = length × width
Where w = 2 and L = 6
So,
Area = 2 × 6
Area = 12 in.²
La base de un rectángulo es cuatro veces su altura. Hallar el área del rectángulo si su perímetro es 120cm a) 476 b) 376 c) 476 d) 576
Answers
Answer: d) 576
Step-by-step explanation:
Datos:
Altura: h Base (b): 4h (cuatro veces su altura [h])El perímetro de un rectángulo es igual a la suma de todos sus lados:
Perímetro = 2h+2b
Reemplazando b=4h
120 =2h+ 2(4h)
Despejando h:
120 = 2h+8h
120 =10h
120/10=h
12 cm=h
Base = 4h =4(12) =48 cm
Área de un rectángulo (A)= base x altura
A = 48 x 12 = 576 cm2
In the diagram, angle OLM is twice as large as angle PON.
What is the size of angle OLM?
Answers
Answer:
112°
Step-by-step explanation:
∠OLM= 2x, ∠PON= x
∠LOK= x
∠OKL= 180-124= 56
∠OLM= ∠OKL+∠LOK
x+56°= 2x
x= 56°
2x= 112°
Work out m and c for the line: y = 8 x
Answers
Answer:
m = 8 and c = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 8x ← is in slope- intercept form, that is y = 8x + 0
with m = 8 and c = 0
if the perimeter of regular hexagon is 10 cm, what is the radius of the circle curcumscribing the polygon?
Answers
Answer:
60
Step-by-step explanation:
hexagon is 6 sided shape. 10 * 6=60
What is the y intercept of y=-3x-2? Step by step explanation please help me
Answers
Answer:
Step-by-step explanation:
The slope is 3 and the y-intercept is 2 or (0, 2)
Answer:
The y-intercept of the equation is -2.
Step-by-step explanation:
This equation is in slope-intercept form (y = mx + b). b represents the y-intercept, and m represents the slope.
At the beach, 11% of people have white towels and 53% have blue towels. If
the rest have red, what percentage of the people at the beach have red
towels?
Answer here
SUBMIT
ASAP help plz
Answers
Answer:
36 percent.
Step-by-step explanation:
We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.
With this information, we can find the remaining percentage of people that have red towels.
Recall that the total percentage is always 100 percent.
lets make r for the percentage of people that have red towels.
You can solve it by changing it to fraction, decimal, or just keep it at percent.
I will show you all of the possible ways.
Percent:
11 percent plus 53 percent plus r =100 percent
combine the like terms, or add 11 plus 53 to simplify the equation.
You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.
100-64 is 36 percent.
r=36 percent of people who have red towels.
With fractions.
Write it as 11/100 plus 53/100 plus r/100= 100/100.
Combine the fractions.
64/100 plus r/100=100/100.
Subtract both sides by 64/100.
You are left with r=36/100, 9/25, or 36 percent.
With decimals.
11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.
53 percent is 0.53.
r is r.
100 percent is 1.
0.11 plus 0.53 plus r=100
Combine or add 0.53 and 0.11. That is 0.64.
Subtract both sides by 0.64.
You get r to be 0.36 or 36 percent.
I hope this helps, and I hope you have a good day!
Answer:
36%[tex]percentage \: of \: people \: who\: have \: white \\ towels = 11 \\ percentage \: of \: people \: who \: have \: blue \: \\ towels = 53 \\ percentage \: of \: people \: who \: have \: \\ white \: and \: blue \: towel \\ = 11 + 53 \\ = 64 \\ percentage \: of \: people \: who \: have \ \: red \\ towels = 100 - 64 \\ \: \: \: \: \: \: \: \: \: \: \: = 36[/tex]
hope this helps ..
Good luck on your assignment
Your given side ab with a length of 6 centimeters and side bc with a length of 5 centimeters. The measure of amgel A is 30. How many triangles can you construct using these measurements?
Answers
Answer:
2
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, and sin(A) < 5/6, so there are two possible solutions.
The law of sines tells you that angle C will satisfy ...
sin(C)/ab = sin(A)/bc
sin(C) = ab/bc·sin(A) = 6/5·1/2 = 3/5
The given angle is 30°, so the sum of remaining angles must be less than 150°. There are two possible angles less than 150° that have a sine of 3/5:
C₁ = arcsin(3/5) = 36.87°
C₂ = 180° -arcsin(3/5) = 143.13°
You can construct two triangles with the given measurements.
__
See the attachments for drawings of them.
Choose the best estimate for the weight of a strawberry A 1 ounce B 8 ounces
Answers
Answer:1 ounce
Step-by-step explanation:
What is the value of x in the diagram below?
Answers
Answer: C
Step-by-step explanation:
IT is dividing by 6
The value of x in the given diagram of two similar triangle is 9 units.
Let us consider the name of two triangles be ABC and PQR.
Such that,
In triangle ABC,
AB = 12 , BC = 54 , m∠BAC = 90° and marked angle is ∠ABC .
In triangle PQR,
PQ = 2 , QR = x, m∠QPR = 90° and marked angle is ∠PQR .
In triangle ABC and PQR we have,
m∠BAC = 90° = m∠QPR
m∠ABC = m∠PQR (given )
By AA corollary,
Triangle ABC is similar to triangle PQR with correspondence ABC ↔ PQR.
Corresponding sides of the similar triangle are in proportion.
AB / PQ = BC / QR
⇒ 12 / 2 = 54 / x
⇒ 12x = 54 × 2
⇒ x = ( 54 × 2 ) / 12
⇒ x = 9
Therefore, the value of x in the given triangle is equal to 9 units.
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Kevin's bank offered him a 4.5% interest rate for his mortgage. If he purchases 3 points, what will be his new rate?
Answers
Answer:
The new rate would be 3.75%
Step-by-step explanation:
Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.
A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)
New interest rate=4.5%-0.75%=3.75%
Answer: mine was: 4.125%
Step-by-step explanation:
Write -1/19, 7/4, -4/7 from least to greatest
Answers
Answer:
-4/7, -1/19, 7/4
Step-by-step explanation:
The fractions converted into decimals would be -0.05, 1.75, -0.57
The equation a=1/2(b^1+b^2)h can be determined the area, a, of a trapezoid with height, h, and base lengths, b^1 and b^2 Which are equivalent equations?
Answers
The complete question is as follows.
The equation a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex] can be used to determine the area , a, of a trapezoid with height , h, and base lengths, [tex]b_1[/tex] and [tex]b_2[/tex]. Which are equivalent equations?
(a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]
(b) [tex]\frac{a}{2h} - b_2 = b_1[/tex]
(c) [tex]\frac{2a - b_2}{h}[/tex] = [tex]b_1[/tex]
(d) [tex]\frac{2a}{b_1 + b_2} = h[/tex]
(e) [tex]\frac{a}{2(b_1 + b_2)}[/tex] = h
Answer: (a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]; (d) [tex]\frac{2a}{b_1 + b_2} = h[/tex];
Step-by-step explanation: To determine [tex]b_1[/tex]:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = ([tex]b_1 + b_2[/tex])h
[tex]\frac{2a}{h} = b_1 + b_2[/tex]
[tex]\frac{2a}{h} - b_2 = b_1[/tex]
To determine h:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{(b_1 + b_2)}[/tex] = h
To determine [tex]b_2[/tex]
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{h} = (b_1 + b_2)[/tex]
[tex]\frac{2a}{h} - b_1 = b_2[/tex]
Checking the alternatives, you have that [tex]\frac{2a}{h} - b_2 = b_1[/tex] and [tex]\frac{2a}{(b_1 + b_2)}[/tex] = h, so alternatives A and D are correct.
help asap. is this b or d. im not really sure so i put d.
Answers
Answer:
I'm not 100% sure but I'm pretty sure its 'D'
Answer:
the answer is b
Step-by-step explanation:
What is f(x) + f(x) + f(x)?
Answers
Answer:
3fx
Step-by-step explanation:
f(x)+f(x)+f(x)
remove parenthesis: (a)=a
add similar elements: fx+fx+fx
=3fx
Answer: for edge
3f(x)
3x2
12
2O POINTS + BRAINLIEST || Which of these scale factors will result in an Enlargement?
A. 0
B. 1/2
C. 1
D.5
Answers
Answer:
D 5
Step-by-step explanation:
Answer:
B. 1/2?
Step-by-step explanation:
In a randomly generated list of numbers from 0 to 6 what is the chance that each number will occur
Answers
Answer:
In fractions, each number has a 1/6 chance of occuring. In decimals, that is around 16.6 repeating percent.
Answer:
1/7
The correct answer is 1/7
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines. EB and DC are parallel. AE = 5 cm, BC = 4.5 cm, BE = 4 cm, CD = 9 cm The area of quadrilateral BCDE is x cm2 The area of triangle ABE is y cm2 Find an expression for y in terms of x . Give your answer as simply as possible. (3 marks)
Answers
Answer:
y = 16x/65
Step-by-step explanation:
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines
EB and DC are parallel
The area of quadrilateral BCDE = xcm²
The area of triangle ABE = ycm²
Find attached the diagram from the above information.
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +
area of ∆ABE)]/(area of ∆ABE)
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
Making y subject of formula
16x = 65y
y = 16x/65
An expression for y in terms of x:
y = 16x/65
An expression for y in terms of x is :
y = 16x/65
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines . EB and DC are parallel The area of quadrilateral BCDE = xcm² The area of triangle ABE = ycm²Consider, the image attached:
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Thus,
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE =
[(area of quadrilateral BCDE + area of ∆ABE)]/(area of ∆ABE)
On substituting the given values:
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
In terms of y:
16x = 65y
y = 16x/65
Therefore, an expression for y in terms of x: y = 16x/65
Learn more:
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PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answers
Answer:
answer B. -5
Step-by-step explanation:
hello
fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5
hope this helps
Answer: It is B. -5
What single decimal multiplier would you use to increase by 4% followed by a 3% increase
Answers
Answer:
1.0712
Step-by-step explanation:
if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712
hope this will help you, have a nice day!
Work out m and c for the line: y = 9 − x
Answers
Answer:
m = -1
c = 9
Step-by-step explanation:
m is slope, which is the coefficient of x
c is the y-int, which is the constant
le
The graph shows two ratios from the table.
ty
9
Celery (x)
2
4
6
8
7
6
Carrots (y)
3
6
?
Carrots
5
4
3
Predict how many carrots you will need for the recipe if
you use 6 stalks of celery.
2
carrots
1
2 3
4 5 6 7 8 9 10
Celery
Answers
Answer:
9 carrots
Explanation:
There are different ways to solve these.
The first one is identify the pattern of the graph. You can see that the slope has 3 rises up and 2 runs to the right. So follow that point and you can see that the next coordinate is (6,9).
The second way is identify the pattern of the table. As you can see, the pattern goes like this: [tex]\frac{2}{3} ,\frac{4}{6} ,\frac{6}{y}[/tex]
2/3 = 2/3
4/6 = 2/3
6/y = 2/3
Solve the last one algebraically (cross-multiply first):
6/y = 2/3
2y = 18
y = 18 ÷ 2
y = 9
6/9 = 2/3 (correct)
Answer:
9 carrots
Step-by-step
A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year
Answers
Answer:
Sale-person's total salary for the year is $ 82,050
Step-by-step explanation:
Base salary of salesperson = $37,000
commission percentage of salesperson = 17% of sales
sales made in a year = $265,000
commission for salesperson in $ = 17% of sales
commission for salesperson in $ = 17 / 100 * $265,000 = $45,050
Thus, total commission for the given year salesperson is $45,050
Total salary for year = Base salary + total commission for the given year
Total salary for year = $37,000 + $45,050 = $ 82,050 (Answer)
Which is equivalent to (9 y squared minus 4 x)(9 y squared + 4 x), and what type of special product is it?
Answers
Answer:
[tex](9y^2-4x)\,(9y^2+4x)=81y^4-16x^2[/tex]
and it is the special factor product that leads to a difference of squares
Step-by-step explanation:
The product: [tex](9y^2-4x)\,(9y^2+4x)[/tex]
is a product of the form:
[tex](a-b)\,(a+b) = a^2-b^2[/tex]
which leads as shown to a difference of squares. So they binomials [tex](a-b)[/tex] and [tex](a+b)[/tex] are the factors of the difference of squares [tex]a^2-b^2[/tex].
In our case, the product:
[tex](9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2[/tex]
Answer:
B
Step-by-step explanation:
If x varies inversely as p and x=2 when p=4 find the formula connecting them
Answers
Answer:
x = [tex]\frac{p}{2}[/tex]
Step-by-step explanation:
x ∝ p
x = kp -------(1)
Where k is the constant of proportionality.
Now, x = 2 when p = 4
Putting in the above formula
2 = k(4)
Dividing both sides by 4
k = [tex]\frac{2}{4}[/tex]
=> k = [tex]\frac{1}{2}[/tex]
Putting k in (1)
x = [tex]\frac{p}{2}[/tex]
Now this is the required equation connecting both.
Can someone please help me I’m stuck
Answers
Answer:
6
Step-by-step explanation:
Since the two triangles are similar, their ratios of sides must be constant. Therefore:
[tex]\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6[/tex]
Hope this helps!
What is the length of segment GH?
Answers
Answer:
4√5
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Coordinates given:
H(8, 1)
G(0, -3)
d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5
Answer:
StartRoot 80 EndRoot
80 square root is the answer
Step-by-step explanation:
|GH|² = (8 - 0)² + (1 - (-3))²
|GH|² = 64 + 16
|GH|² = 80
GH = sqrt(80)
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