Answer:
[tex]A.) 25[/tex]
Step-by-step explanation:
[tex]f(3)[/tex] means that the value of x is 3. Insert this into the equation for x, but DO NOT insert the value into f(x). To not get confused, remember that f(x) is basically y. You can insert y into the equation to not get mixed up:
[tex]f(x)=(3)^3-2\\\\or\\\\y=3^3-2[/tex]
Now simplify the equation, starting with exponents (PEMDAS):
[tex]x^3=x*x*x\\\\3*3*3\\\\9*3=27\\\\f(x)=27-2\\\\or\\\\y=27-2[/tex]
Simplify subtraction:
[tex]27-2=25\\\\f(x)=25\\\\or\\\\y=25[/tex]
:Done
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.
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:
What is the slope of the line that contains the points (-2, 2) and (3, 4)?
A.
O B. -
O c.
OD.
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 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?
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
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.
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
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Rhombus EFGH is rotated 90 degrees counterclockwise about vertex G. How many pairs of parallel sides does the rotated figure have?
Please explain your answer.... Thank you!
A) 0
B) 1
C)2
D) 4
Answer:
try your self more and more times you can easily solve
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
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.
To factor 9x^2- 4, you can first rewrite the expression as:
O A. (3x-2)^2
O B. (x)^2-(2)^2
C. (3x)^2-(2)^2
D. None of the above
Answer:
D
[tex](3x - 2)(3x + 2) \\ [/tex]
Roberto has run the first 16 miles of a race, which means he is 72% finished. How long is the race?
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:
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?
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.
What is the slope of the line below?
Answer:
The answer is the green answer choice which is 5/7.
Step-by-step explanation:
Frank marry and seth shared some sweets in the ratio 4:5:7 seth got 18 more sweets than frank work out the total number of sweets shared(pleez answer im in a crisis)
Answer: 96
seth got 18 more than frank
in terms of ratio he got 3 more than frank
this means that 3 is equal to 18
so we find the whole ratio to fing the total
6,857 my lessons my stuf The Pythagorean Theorem What is the distance between the points (22,21) and (26,24)?
Answer:
the distant between 20,21 is 1. and the distant between 26,24 is 2.
Step-by-step explanation:
1. 21-20=1
2. 26-24=2
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
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
5. Choose the equation of a line that is perpendicular to the given line and that passes through the given
point.
4x - 12y = 2; (10,-1)
A.) y=3x + 29
B.) y=--x+29
3
C.) y=-3x + 29
D.) y=--x+7
Answer:
Step-by-step explanation:oh
Mr. Morgan invested $20,000 in an account earning 4.5% annual interest. How many years would it take for him to earn 5400 in a simple interest
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.
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:
Elijah needs to lease out a music studio to record his new album the studio charges and initial studio-use fee plus an hourly fee for each hours in the studio let P represent the total amount of money Elijah would have to pay to use the studio four t hours A graph of P is shown below write an equation for P then state the Y intercept of the graph and determine its interpretation in the context of the problem
Answer:
100+50t
Step-by-step explanation:
Answer:
P = 100+50t
The y-intercept of the function is 100 which represents the initial fee of using the studio.
A rose bush of height `h` is planted at an initial height of 3 feet. The bush is expected to grow an average of 0.5 feet per year. How tall will the bush be 3 years after planting? Show the work that leads to your answer (either in the text box below or on the white board to the right).
Answer:
The height is 4.5ft
Step-by-step explanation:
Given
[tex]Initial\ Height = 3\ ft[/tex]
[tex]Growth = 0.5\ ft[/tex] yearly
Required
Determine the height in 3 years
First, we need to determine the growth equation.
Represent the height with h and the years with x
So:
[tex]y = Initial\ Height + Growth * x[/tex]
[tex]y = 3 + 0.5 * x[/tex]
[tex]y = 3 + 0.5x[/tex]
To solve the required, we have that:
[tex]x = 3[/tex]
[tex]y = 3 + 0.5x[/tex] becomes
[tex]y = 3 + 0.5 *3[/tex]
[tex]y = 3 + 1.5[/tex]
[tex]y = 4.5[/tex]
Hence, the height is 4.5ft
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
Answer:
Yo tengo 10 años y eso da 1,190
Step-by-step explanation:
Based on the results of the simulation, if Sally's name is represented by diamonds, what is the probability that Sally will win
the free homework pass?
A.52%
B. 24%
C. 8%
D.16%
Answer:
Step-by-step explanation:
If she's represented by diamonds, then that's 2/25 which is 8%, C
Answer:
Step-by-step explanation:
8%
You kinda remind me of Joe...
Answer:
nice
Step-by-step explanation:
Answer:
ok?
Step-by-step explanation:
Help me please!!!!
Adrienne and Suki simplified the expression -(8) - (-6). Their work is shown
below. *
Adrienne's Work
Suki's Work
-8-(-6)= -14
-8-(-6)=-2
A. Whose answer is correct?
B. Explain the error the other person made.
Your answer
Answer:
im pretty sure it would be -8-(-6)=-2 for the first one
What’s the area for this shape??????
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
what are the solutions of x2-4x+5=0
please help!!
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]
Which of the following steps will speed up the reaction between a baking soda solution and a calcium chloride solution in a beaker?
Keep the beaker in a freezer.
Keep the beaker in sunlight.
Pour the solutions into a flat dish.
Pour the solutions into a narrow test tube.
Answer: Indeed It is b
Step-by-step explanation:
Evaluate the algebraic expression for v= 1 and r = 7
6r - |-8+v|
Answer:
41
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
6r - | - 8 + v | ← substitute v = 1 and r = 7 into the expression
= 6(7) - | - 8 + 1 |
= 42 - | - 1 |
= 42 - 1
= 41
What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)? (5 points) a y = −3x − 2 b y = −3x + 2 c y = 3x + 2 d y = 3x − 2
Answer:
d
Step-by-step explanation:
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?
which ordered pair is a solution of the equation: 2y=7x-3
only 2,4
only 3,9
both 2,4 and 3,9
neither
Answer:
It is only 3,9.
Step-by-step explanation:
You need to substitute each pair into the equation to find if both side have the same answer, 3,9 is the correct answer because both sides are equal:
2(9) = 7(3)-3
18= 18
The answer is (3,9).
I hope this helps!
What is the length of the radius of a circle with center (10, -14) that is tangent to the line
x=13?
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 + 196Radius = √205Radius = 14.32Read more:
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