Answer:
The manager's prediction is false
Step-by-step explanation:
Given
Jacob: 2000x + 4000
Carlos: 3500x - 40000
Required
Determine if both expression will be the same if x = 35
To do this;
Equate both expressions and then solve for x
i.e.
[tex]2000x + 4000 = 3500x - 40000[/tex]
Collect Like Terms
[tex]2000x - 3500x = -4000 - 40000[/tex]
[tex]-1500x = -44000[/tex]
Divide both sides by -1500
[tex]\frac{-1500x}{-1500} = \frac{-44000}{-1500}[/tex]
[tex]x = \frac{-44000}{-1500}[/tex]
[tex]x - 29.3[/tex]
Hence, the manager's prediction is not true because [tex]x \neq 35[/tex]
Which of the following values are in range of the function graphed below? Check all that apply. A. 2 B. -6 C. 1 D. -2 E. -1
Answer:
B. -6
D. -2
E. -1
Step-by-step explanation:
The range is the values for the output or y values
y is between -6 and 0 including the endpoints
-6 ≤y≤0
A. 2 not included
B. -6 included
C. 1 not included
D. -2 included
E. -1 included
Describe how the shape moves to get from it's position in each frame to the next. Select all ways the rectangle could have been rotated to get from fame 1 to fame 2.
Answer:
40 DEGREES COUNTERCLOCKWISE
140 DEGREES CLOCKWISE
Step-by-step explanation:
To get from frame one to frame two you can either rotate the object in a clockwise or anticlockwise direction.
We can use the edges of the rectangle to monitor the degree with which it is rotated.
If we rotate in a clockwise direction, it means that we are rotating from the left to the right; that is in the direction of the clock. If we are turning this way, we would have to turn the rectangle through 140 degrees to get it into frame 2's position
If we are rotating in the anticlockwise direction (against the direction of the clock) we are turning it from the right to the left. We will be turning it by only 40 degrees to get it into frame 2's position
Aiden is going to make salsa. He bought 2.3 pounds of tomatoes, a 3.75 pound bag of
onions, and 2 bags of peppers that each weighed 1.4 pounds. How many pounds of
ingredients did he purchase?
Answer:
8.85
Step-by-step explanation:
2.3+3.75+1.4+1.4
How can you rewrite 12 -− (-5) as an addition problem?
Answer:
12+5
Step-by-step explanation:
[tex] - ( - a) = a \\ 12 - ( - 5) = 12 + 5[/tex]
Answer:
12+5=17 ?
Step-by-step explanation:
Find each product.
1) (5n - 5)(4n - 4)
Answer:
20n² - 40n + 20
Step-by-step explanation:
(5n - 5)(4n - 4)
= 5n(4n) + 5n(-4) - 5(4n) - 5(-4)
= 20n² - 20n - 20n + 20
= 20n² - 40n + 20
Another way to do this:
(5n - 5)(4n - 4)
= 5(n - 1) * 4(n - 1)
= 20(n - 1)(n - 1)
= 20(n - 1)²
= 20(n² - 2n + 1)
= 20n² - 40n + 20
Let f(x) = 4x + 8 and g(x) = 2x - 12. Perform the function operation, (f - g)
(x), and then find the domain of the result.
Answer:
work is pictured and shown
Domain: all real numbers
Please help asap! Thank you so much!
Answer:
90°Step-by-step explanation:
[tex]Sum\:of\:angles\:= 540\°\\\\b + (b+45)+90+(2b-90)+\frac{3}{2}b =540 \\\\Expand\: the \: brackets \\b\°+b\°+45\°+90+2b\°-90\°+\frac{3}{2} b=540\\\\Collect \:like\:terms\:and\:simplify\\b\°+b\°+2b\°+\frac{3}{2} b +45+90-90\°=540\°\\\\4b\° + \frac{3}{2} b\° +45\° = 540\°\\\\\frac{11}{2} b = 540\°-45\°\\\frac{11b}{2} = \frac{495}{1}\\ Cross\:Multiply\\11b = 49\°5\times 2\\11b = 990\°\\Divide \:both\:sides\:of\:the\:equation\:by \:11\\\frac{11b}{11} = \frac{990}{11}\\ \\b = 90\°[/tex]
What is the sum of 23/25 + 9/30
Answer:
61/50
Step-by-step explanation:
1*a = a
1 = b/b
then:
23*25 * 1 = (23/25)(12/12) = (23*12)/(25*12) =276/300
9/30 *1 = (9/30)(10/10) = (9*10)/(30*10) = 90/300
then:
(23/25) + (9/30) = (276/300) + (90/300)
= (276+90)/300
= 366/300
= 122/100
= 61/50
The addition of the fraction 23/25 + 9/30 is equal to 61/50.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
'a/b' of a quantity means that quantity is first divided in 'b' parts, and then mutiplied by 'a', or,
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
1*a = a
1 = b/b
then:
23*25 * 1 = (23/25)(12/12)
= (23*12)/(25*12) =276/300
9/30 *1 = (9/30)(10/10)
= (9*10)/(30*10) = 90/300
Now add the terms;
(23/25) + (9/30) = (276/300) + (90/300)
= (276+90)/300
= 366/300
= 122/100
= 61/50
Therefore, the addition of the fraction 23/25 + 9/30 is equal to 61/50.
Learn more about fraction here;
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#SPJ2
The equation
= reserve rate shows the relationship between the
money multiplier
reserve rate and the money multiplier, regardless of their values.
A. True
B. False
Answer:
true
Step-by-step explanation:
Answer: true
Step-by-step explanation:
ap3x
what are the prime factorization of 25
Answer:
25 = 5^2
Step-by-step explanation:
Factor the following integer:
25
Hint: | Is 25 divisible by 2?
25 is not divisible by 2 since 25 is odd and 2 is even:
25 = 25 (25 is not divisible by 2)
Hint: | Is 25 divisible by 3?
The sum of the digits of 25 is 2 + 5 = 7, which is not divisible by 3. This means 25 is not divisible by 3:
25 = 25 (25 is not divisible by 2 or 3)
Hint: | Is 25 divisible by 5?
The last digit of 25 is 5, which means 25 is divisible by 5:
25 = 5 5:
25 = 5×5 (5 is not divisible by 2 or 3 since 25 is not)
Hint: | Now try to factor 5. Is 5 prime?
No primes less than 5 divide into it. Therefore 5 is prime:
25 = 5×5
Hint: | Express 25 as a prime power.
There are 2 copies of 5 in the product:
Answer: 25 = 5^2
Lily just paid off a $400 loan. She had to pay $60 in interest at a simple annual interest rate of 5%. How many years did Lily have this loan?
Answer:
I=prt,,60=400*0.05t,,t=3 ..................
this is what i got i hope it is use full to you <3
Step-by-step explanation:
Answer:
B/3
Step-by-step explanation:
yes dont ask. I KNOW ITS RIGHT
does circumference divided by ratio equal to pi?
Answer:
Yes circumference divided by ratio equals to pi
Answer:
Step-by-step explanation:
what are points on the same line called
Answer:
parallell
Step-by-step explanation:
Answer:
collinear points
Step-by-step explanation:
A line is defined by two points and is written as shown below with an arrowhead. Two lines that meet in a point are called intersecting lines. A plane extends infinitely in two dimensions.
Please help
Identify the slope, m, and y-intercept, b, of the equation.
y = x - 4
Identify the slope, m, and y-intercept, b, of the equation . Y=x-4 .Enter the correct values in the boxes . M=_ ; b=_ Graph the line described by the equation y=x-4
Answer:
m = 1 (the slope is 1/1) b = -4 (the y-intercept is (0,-4))
Step-by-step explanation:
First, you have to plot a point at the y-intercept (0,-4). Then go up once and to the right once (since the slope is 1/1). Keep doing this as much times as you want and connect the dots to form a line. See image below.
Which set of ordered pairs (x, y) could represent a linear function?
A = {(-6,3), (-3,0), (0, -3), (3,-5)}
B= Y(-1,2), (2, 1), (5,0), (8, -1)}
C = {(-4,-7), (-1, -3), (2.0), (5,3)}
D = {(-5, -8), (-2,-4), (1,1), (4,6)}
Set of ordered pairs (x, y) could represent a linear function
B= {(-1,2), (2, 1), (5,0), (8, -1)}
Option B is correct
Linear FunctionLinear function is a function whose graph is a straight line .
SlopeSlope of a line tells us how steep the line is . Slope of a line is same at all the points.
Slope formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Lets find out slope of any two points in each option
A = {(-6,3), (-3,0), (0, -3), (3,-5)}
[tex]\frac{0-3}{-3+6} =-1\\\frac{-5+3}{3-0} =-\frac{2}{3} \\[/tex]
Slopes are not same
Lets check the second option
B={(-1,2), (2, 1), (5,0), (8, -1)}
[tex]\frac{1-2}{2+1} =\frac{-1}{3} \\\frac{0-1}{5-2} =\frac{-1}{3} \\\frac{-1-0}{8-5} =\frac{-1}{3} \\[/tex]
The slope of any two points are equal .
slope are same . So it represents a linear function .
C = {(-4,-7), (-1, -3), (2.0), (5,3)}
[tex]slope =\frac{-3+7}{-1+4}=\frac{4}{3} \\slope =\frac{0+3}{2+1}=\frac{3}{3}=1[/tex]
Slopes are not same . So it is not a linear function
D = {(-5, -8), (-2,-4), (1,1), (4,6)}
[tex]slope = \frac{-4+8}{-2+5}= \frac{4}{3} \\Slope = \frac{1+4}{1+2}= \frac{5}{3} \\\\slope = \frac{6-1}{4-1}= \frac{5}{3} \\[/tex]
Slopes are not same . so it is not a linear function .
Option B is correct.
Learn more information about 'linear function' here
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Mrs.li wants to compare her students test scores to the school average. She created a table to help her. Which list orders the students from least to highest?
Answer:
Cierra and fionna
Step-by-step explanation:
because their under 0
and 0 is the school average
Answer:
B uWu
Step-by-step explanation:
Two times the sum of half a number and 4 is 24. What is the number?
Answer:
The number is:
16
Step-by-step explanation:
2(a/2 + 4) = 24
2*a/2 + 2*4 = 24
a + 8 = 24
a = 24-8
a = 16
Check:
2(16/2 + 4) = 24
2*16/2 + 2*4 = 24
16 + 8 = 24
Answer:
34
Step-by-step explanation:
please help!! Thank youu!
Answer:
$260
Step-by-step explanation:
The line m has a slope of 3/4 and passes through the point (-2, 1). Show that the point (82, 63) does or does not
lie on line m. Justify your answer.
Answer: It does not lie on the line m.
Step-by-step explanation:
First using the slope and the point find an equation in slope intercept form and plot in the coordinates (82,63) to see if it fits. If it fits then it lies on line m and if doesn't then it doesn't like on line M.
The slope intercept formula is y = mx +b where m is the slope and b is the y-intercept, so we need to use the coordinates (-2,1) to find the y-intercept.
Plot the coordinates and the slope into the formula to solve for b.
1 = 3/4(-2) + b
1 = -6/4 + b
+6/4 +6/4
b = 10/4
y = 3/4x + 10/4
63 = 3/4(82) + 10/4
63 = 64
Answer please?
Quick.
I've labeled where the vertex is and where the parabola should be. I recommended using this online calculator called desmos. Super useful!
Which of the following represents a positive number?
Answer: OPTION C
Step-by-step explanation:
A positive number must be greater than (>) 0, so lets check which fits this condition.
--------------------------------------------
A.
7.09+(-7.28)=-0.19 NEGATIVE
B.
-12+11.5=-0.5 NEGATIVE
C.
-4.8-(-6.1)=1.3 POSITIVE
D.
-21-(-18.5)=2.5 NEGATIVE
--------------------------------------------
C represents positive number
Hope this helps!! :)
Please let me know if you have any question
Plssss help
I have to find what the letter is equal to
1. C divided by4=5
C=
2. 9d=27
D=
3. 2a+9=17
A=
4. 4b-12=24
B=
5. True or false
K is 6,are the following equations true or false
1. Kx8=54
2. 9+k=2k+3
Guys plsss urgent
Answer:
1. c=20
2. d=3
3 a=4
4. b=9
5. 1. false 2. true
how do you multiply(2x+3)(x-7)
Answer:
2x(x-7)+3(x-7)
2x²-14x+3x-21
2x²-11x-21
Identify the correct reason for the second node(Heeelp)
A. Definition of Congruent segments
B. Definition of Midpoint
D. Definition of Angle Bisection
Answer: B. Definition of midpoint
The midpoint A cuts the line segment DW in half. So DW is cut into two pieces DA and WA, both of those smaller pieces are the same length.
Assuming there are no reflections or dilations,
explain how you would write the equation of the
function whose graph is sketched below.
ty
4
-8
-4
Answer:
Start with the parent function y=1/x^2.
Add 3 to x in the denominator, because the graph is shifted left 3. Add 1 to the fraction, because the graph is shifted up 1 unit.
Step-by-step explanation:
When a function is transformed, it means the function is either rotated, dilated, rotated or translated.
The equation of the function whose graph is sketched is:
[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]
The parent function is an inverse function of the form:
[tex]y = \frac 1{x^2}[/tex]
The parent function is shifted in two ways.
3 units left1 unit upWhen a function is shifted to the left, the rule is:
[tex](x,y) \to (x + h,y)[/tex]
Where:
[tex]h \to[/tex] number of units.
So, we have:
[tex](x,y) \to (x + 3,y)[/tex]
The function becomes
[tex]y' = \frac{1}{(x + 3)^2}[/tex]
When a function is shifted up, the rule is:
[tex](x,y) \to (x ,y+b)[/tex]
Where:
[tex]b \to[/tex] number of units.
So, we have:
[tex](x,y) \to (x ,y+1)[/tex]
The function becomes
[tex]y'' = \frac{1}{(x + 3)^2} + 1[/tex]
So, the graph of the function in the given graph (see attachment) is:
[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]
Read more about transformations at:
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A thread is wound 200 times round a reel of diameter 5 cm. Use the value 3 for it to find the approximate length of the thread in metres.
Answer:
Length of the thread = 30 metres
Step-by-step explanation:
Length of the thread in one round of a reel = Circumference of the reel
C = [tex]2\pi r[/tex]
Since radius of the reel = [tex]\frac{\text{Diameter}}{2}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2.5 cm
Circumference of the reel = 2(π)(2.5)
= 5π
= 5×3
= 15 cm
Length of the thread wound in one round around the reel = 15 cm
Since, thread is wound 200 times round a reel, length of the thread
= 200 × 15
= 3000 cm
≈ 30 metres
Therefore, Option (B) will be the answer.
Find the area of triangle ABC
please help asap!
Step-by-step explanation:
The Base of the triangle= 3+6=9 units
Altitude of the triangle=6-2=4 units
Hence, Area of a triangle= Base×Altitude ×1/2
Hence, Area of the abc = 9×4×1/2=18 unit^2
Your parents rent a car for vacation. They pay a $100 deposit and $50 a day. How much will they pay after 5 days ? what is the slope for this questio
Answer:
350
Step-by-step explanation:
First off, remember that $100 is only added once as a deposit. Now we need to figure out what $50 times 5 is. We can calculate that is equals $250
Now we need to add the deposit onto the total.
250+100= 350
Hope this helped!
Can someone help me thanks
Answer:
-142
Step-by-step explanation:
So we have the function:
[tex]f(x)=-x^2-9x+20[/tex]
To find f(9), substitute x for 9:
[tex]f(9)=-(9)^2-9(9)+20[/tex]
Square the first term and multiply the second:
[tex]f(9)=-81-81+20[/tex]
Add:
[tex]f(9)=-142[/tex]
And that's our answer :)
What is the solution to 6(n−2)−8=22+4(2−n)?
Answer:
n=5
Step-by-step explanation:
6(n-2)-8=22+4(2-n)
open brackets
6n-12-8=22+8-4n
collect like terms
6n+4n=22+8+12+8
10n=50
n=50/10
n=5