1. A set of weights includes a 5 lb barbell and 8 pairs of weight plates. Each pair, p,
weights 10 lbs. If x pair of weight plates are added to the barbell, the total weight of the
barbell in pounds can be represented by the function
f(x) = 10x + 5. What is a reasonable range of the function in this situation?

Answers

Answer 1

Answer:

5 <= y <= 85

Step-by-step explanation:

Since the lowest weight possible is 5lbs (just the barbell and no weights) the lowest point of the range is 5lbs (the y intercept when x = 0)

The highest weight possible is 85lbs since, there is only 8 pairs of weight plates (8 is the input value) and the pairs each weigh 10lbs (the slope of the graph) + 5lbs from the barbell (y-intercept).

Using the function given, if you input 8 as the x value, you get

85 = 10(8) + 5

So the highest value of the range is 85lbs, therefore the range is 5 <= y <= 85.  


Related Questions

What is the length of the radius of a circle with center (10, -14) that is tangent to the line
x=13?

Answers

Answer:

length of radius of a circle = 3

Step-by-step explanation:

a tangent line touches the circle at one point

if the tangent line is at x=13 (vertical line) and the center of the circle is

(x,y) = (10,-14) with its center x at 10; then take the difference to find the radius;

x(tangent line) - x(center of circle) = radius of circle

length of radius of a circle = 13-10 = 3

you can also graph the circle and draw the tangent line to find the radius

The length of the radius of a circle as described in the question is; 14.32

The center of the circle is at; (10, -14)

The line that is tangent to the circle is; x = 13.

The coordinate of a point on the line is therefore; (13, 0)

The length of the radius of the circle can.be obtained from Pythagoras theorem as;

(Radius)² = (13-10)² + (-14-0)²

(Radius)² = (3)² + (-14)²

(Radius)² = 9 + 196

Radius = √205

Radius = 14.32

Read more:

https://brainly.com/question/10443107

Anybody taking the ACT this year??

Answers

Answer:

Nope not this year, hbu?

I already took it! If you need help on it Email me "kaylleissad" :D

5|4x-4|-9=31

solve for both absolute value equations, I got x=3 for the first one but can't figure out the second absolute value equation

Answers

Answer:

x= -1 or x=3

Step-by-step explanation:

The chemical element einsteinium-253 naturally loses its mass over time. A sample of an einsteinium-253 had an initial mass of 540 g when we measured it. The relationship the elapsed time T in months and the mass m(t) in grams left in the sample is modeled by the following function m(t)=540•(1/8)^t/2.05 complete the following sentence about the rate of change in the mass of the sample

Answers

Answer: The sample loses 7/8 of its mass every 2.05 months.

Step-by-step explanation:

I got it right on khan academy

Decrease 125 by 40% maths assignment

Answers

Answer:

75

Step-by-step explanation:

125 × 0.40 = 50

125 - 50 = 75

HII!!HERE'S YOUR ANSWER ANSWER= 75

STEP BY STEP EXPLANATION:

Decrease number by 40% of its value.

Percentage decrease = 40% × 125

New value

125 - Percentage decrease

125 - (40% × 125)

125 - 40% × 125

(1 - 40%) × 125

(100% - 40%) × 125

60% × 125

60 ÷ 100 × 125

60 × 125 ÷ 100

7,500 ÷ 100

=75

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN!!

Can somebody help me with this

Answers

the answer is 1 3/10

a =
I need help I’m so confused

Answers

Step-by-step explanation:

b=

help me HAHAHAHAHAHAHAHAHAHAHAHHA

Answer:

a = 6

Explantion :

hope this helps!

What’s the area for this shape??????

Answers

Answer:

40cm²

Step-by-step explanation:

The formula of a trapezium is: A=1/2(a+b)h

The values are: a=6, b=10 and h=5

Therefore, to calculate the area: A=1/2(6+10)5

Hence, the area of the trapezium is A=40cm²

The swim and diving clubs at Riverdale High School have a total of 55 members and no student is a member of both teams. One-third of the swim team members are seniors and One-fifth of the diving team members are seniors. If there are 13 seniors in the two clubs, how many members does each club have? Let x represent the total number of swim club members and let y represent the total number of diving club members.

The equation that represents the total number of members is
.

The equation that represents the total number of seniors is
.

The diving club has
more members than the swim club.

Answers

Answer:

B,C,D

Step-by-step explanation:

Just did it

Answer:

it's B, C, and D

Step-by-step explanation:

also rented a truck for one day. there was a base fee of 20.99, and there was an additional charge of 85 cents for each mile driven. aldo had to pay $210.54 when he returned the truck. for how many miles did he drive the truck?

Answers

Answer:

223 mile

Step-by-step explanation:

what are the solutions of x2-4x+5=0
please help!!

Answers

Answer:

The solutions to the quadratic equation are:

[tex]x=i+2,\:x=-i+2[/tex]

Step-by-step explanation:

Given the equation

[tex]x^2-4x+5=0[/tex]

solving the equation

[tex]x^2-4x+5=0[/tex]

subtract 5 from both sides

[tex]x^2-4x+5-5=0-5[/tex]

[tex]x^2-4x=-5[/tex]

[tex]\mathrm{Add\:}\left(-2\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-4x+\left(-2\right)^2=-5+\left(-2\right)^2[/tex]

[tex]\left(x-2\right)^2=-1[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-2=\sqrt{-1}[/tex]

As the imaginary rule is given by

[tex]\:\sqrt{-1}=i[/tex]

so

[tex]x-2=i[/tex]

[tex]x=i+2[/tex]

solving

[tex]x-2=-\sqrt{-1}[/tex]

[tex]x-2=-i[/tex]      ∵ [tex]\:\sqrt{-1}=i[/tex]

[tex]x=-i+2[/tex]

Therefore, the solutions to the quadratic equation are:

[tex]x=i+2,\:x=-i+2[/tex]

(y - 2)2 = y2 – 6y + 4
Is this statement true or false?

Answers

Answer: False

==============================================

Explanation:

I'm assuming you meant to type out

(y-2)^2 = y^2-6y+4

This equation is not true for all real numbers because the left hand side expands out like so

(y-2)^2

(y-2)(y-2)

x(y-2) .... let x = y-2

xy-2x

y(x)-2(x)

y(y-2)-2(y-2) ... replace x with y-2

y^2-2y-2y+4

y^2-4y+4

So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4

--------------------------

Another approach is to pick some y value such as y = 2 to find that

(y-2)^2 = y^2-6y+4

(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2

0^2 = 2^2 - 6(2) + 4

0 = 4 - 6(2) + 4

0 = 4 - 12 + 4

0 = -4

We get a false statement. This is one counterexample showing the given equation is not true for all values of y.

It is false. Expand the left term, then check if both sides are equal

Which equation can be used to find 40 percent of 25?
25+ 1 25
401 40
100x4 400
40x4 16
40x4 180
25%4 100
404
100_4 25

Answers

Answer:

Yo tengo 10 años y eso da 1,190

Step-by-step explanation:

For the function below, (a) find the vertex; (b) find the axis of symmetry; (c) determine whether there is a maximum or a
minimum value and find that value; and (d) graph the function.
f(x) = -x2 - 6x-4

Answers

Answer:

Step-by-step explanation:

f(x) = ax² + bx + c

"x" coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )

axis of symmetry is x = - [tex]\frac{b}{2a}[/tex]

If a > 0 the function opens upward and has minimum value.

If a < 0 the function opens downward and has maximum value.

f(x) = - x² - 6x - 4

(a). x = - [tex]\frac{-6}{-2}[/tex] = - 3 ; y = - (- 3)² - 6( - 3) - 4 = 5

Coordinates of vertex are (- 3, 5)

(b). The axis of symmetry is x = - 3

(c). The given function opens downward

y = 5 is a maximum of a given function.

A bird is flying at a constant rate.

This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.

Which statement best describes the bird's elevation, given this equation?


The bird started at a height of 15 meters and is ascending at 8 meters per minute.

The bird started at a height of 8 meters and is ascending at 15 meters per minute.

The bird started at a height of 15 meters and is descending at 8 meters per minute.

The bird started at a height of 8 meters and is descending at 15 meters per minute.

Answers

Answer:

the answer is The bird started at a height of 15 meters and is ascending at 8 meters per minute.

Step-by-step explanation:

i know things

Answer:

the answer is A

Step-by-step explanation:

A total of 625 tickets were sold for the school play. They were either adult tickets or student tickets. There were 75 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

75 less student tickets than adult tickets. The total is 625 tickets. So the student and adult tickets have to equal 625 when added.

Step-by-step explanation:

Student tickets: 275

Adult tickets: 350

350 adult tickets were sold

What is the slope of the line below?

Answers

Answer:

The answer is the green answer choice which is 5/7.

Step-by-step explanation:

You kinda remind me of Joe...

Answers

Answer:

nice

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

NEED HELP PLEASE!!! Lionel created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Lionel drew?

Answers

Answer: A.

Y=-2x+16

Step-by-step explanation:

You gotta find the pretty points on the line of the linear function. Then you have to find the slope (rise over run) with those pretty points. Then you have to use a coordinate (I used 6,4) to find the y intercept. Then you solve the equation, by plugging in all the numbers :) hope this helps.


Jerry and Jo are making brownies for the bake sale.
Each pan of brownies will be cut into 18 rows with 12 brownies per row.
They plan to make 12 pans of brownies.
Choose Yes or No to tell if the equation shows the number of brownies they will make.
(12 x 18) ~ 12 = b
18 * (2 x 12) = b
18 x 12 = b
12 x (12 * 18) = b

Answers

Answer:

Yes

12 * (12 * 18) = b will give the total number of brownies to be made

Step-by-step explanation:

Here, we want to select which of the equations will give the number of brownies to be made

The total number of brownies is b

For each pan, we have 18 rows , with 12 per row

So the total number of brownies per pan is 12 * 18

Since they are making 12, the total number of brownies b will be;

12 * (12 * 18) = b

What is the slope of the line that contains the points (-2, 2) and (3, 4)?
A.
O B. -
O c.
OD.

Answers

Answer:  m = 2/5

Step-by-step explanation:

The formula for the slope is m = rise over run = y^2 - y^1 / x^2 - x^2

which makes it 4-2 over 3-(-2) which equals 2/5

Youre answer is 2/5

Answer:

The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.

Step-by-step explanation:

The slope of a line is denoted by m and is calculated using the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here

[tex](x_1,y_1)[/tex] are the coordinates of the first point on line and

[tex](x_2,y_2)[/tex] are the coordinates of the second point on line

Given two points are:

(x1,y1) = (-2, 2)

(x2,y2) =(3, 4)

Putting the values in the formula

[tex]m = \frac{4-2}{3-(-2)}\\m = \frac{2}{3+2}\\m=\frac{2}{5}[/tex]

Hence,

The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.

A contestant on the biggest loser lost 78.8 pounds over a period of two months. At the end of the two month period, the contestant weighed 194.3 pounds. How much did the contestant weigh when the show began?

Answers

Answer: The contestant weighed 73.1 pounds when the show began.

Step-by-step explanation:

Given: A contestant lost 78.8 pounds over a period of two months.

At the end of the two month period, he weighed 194.3 pounds.

Initial weight = weight at the end of the two month period + weight lost by contestant

= 194.3 +78.8 pounds

= 273.1 pounds

Hence, the contestant weighed 73.1 pounds when the show began.

of the 24 students in Michelle's homeroom, of them rode the bus to school. How many
students in Michelle's homeroom rode the bus to school?

Answers

12 becaus math sucks

Carmen opened a bank account with
$450. Each week she deposits $60.
Write an equation to represent this situation.
60x+y=450
y=-60x+450
Oy=60x+450
y=450x+60

Answers

Y=60x+450 will be the answer

Which statement describes the​ y-intercept of the graph of a proportional​ relationship?
Choose the correct answer below.
A.
The line intersects the​ y-axis of the graph above the origin.
B.
The line intersects the​ y-axis of the graph at the origin.
C.
It is greater than the​ x-intercept of the line.
D.
It is equal to the​ x-intercept of the line.

Answers

Answer:

B i worked out all of them and only b can fit

The line intersects the​ y-axis of the graph at the origin. The correct option is B.

What is a Proportional Relationship?

A proportional Relationship is when a variable is in direct variation to another variable such that on increasing one the other proportionally increases.

The equation for a proportional relationship is

y ∝  x

y =kx

where k is the proportionality constant

The equation of a straight line is y = mx +c

here c is the intercept on the y-axis

Comparing the two equations, this can be confirmed that

c = 0

Therefore, the line intersects the​ y-axis of the graph at the origin.

The correct option is B.

To know more about Proportional Relationship

https://brainly.com/question/12917806

#SPJ2

Please please please help

Answers

Answer:

-4/9

Step-by-step explanation:

-4 x 5 = -20

5 x 9 = 45

so you have -20/45

divide by 5 for both and you get -4/9

Hope this helps!!

A baseball team had $250 to spend on supplies. The team spent $46.25 on a new bat. New baseballs cost $2 each. The inequality46.25+2b≤250 can be used to determine the number of new baseballs, b, that the team can purchase.

Answers

Answer: 101

[tex]\leq 46,25+2b\leq 250\\\\=> 2b\leq 250-46,25=203,75\\\\<=> b\leq 203,75/2=101,876[/tex]

but b is the number of new baseballs

=> [tex]b\leq 101[/tex]

=> the team can purchase 101 baseballs

Step-by-step explanation:


:( this is due by the end of the day! 20 points!! right answer please

Answers

Answer:

∠c=90°, ∠b=47.5°, a=85°

Step-by-step explanation:

∠c is inscribing a semicercle so is half of the intercepted arc and the whole circle is 360 , half will be 180 and the angle will be 90°

∠b is inscribing a 95°arc so is half of that 95/2=47.5°

arc a is part of a semicircle so is 180-95 =85°

Roberto has run the first 16 miles of a race, which means he is 72% finished. How long is the race?

Answers

Answer:

approximately 22.2 miles

Step-by-step explanation:

16mi/72% =xmi/100%

72x=1600

x=22.2222222.....

Answer: 22.2 miles

Step-by-step explanation:

first correct answer will get brainliest
Solve: 3(5-2 ) +I-5I = ?


7

15

4

14

Answers

Answer:

14

Step-by-step explanation:

when you multiply and do the absolute value thats what you get

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