Write a linear function f with f(0)=3 and f(−6)=3
Answer:
y = 3
Step-by-step explanation:
Slope = 0/-6 = 0
y-int. = 3
The linear function [tex]f[/tex] with [tex]f(0) = 3[/tex] and [tex]f(-6) = 3[/tex] is [tex]y = 3[/tex].
Given two distinct points on cartesian plane, we can determine the linear function associated to those points as follows:
[tex]y = m\cdot x + b[/tex] (1)
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (2)
[tex]b = y_{1}-m\cdot x_{1}[/tex] (3)
If we know that [tex]f(0) = 3[/tex] and [tex]f(-6) = 3[/tex], then we have the linear function below:
[tex]m = \frac{3-3}{0-(-6)}[/tex]
[tex]m = 0[/tex]
[tex]b = 3 - 0\cdot (0)[/tex]
[tex]b = 3[/tex]
The linear function [tex]f[/tex] with [tex]f(0) = 3[/tex] and [tex]f(-6) = 3[/tex] is [tex]y = 3[/tex].
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Yesterday, Kate gave exactly fourteen haircuts
and made $50.00. If she charged $5.00 for adults'
haircuts and $2.50 for children's haircuts, how
many children's haircuts did she give?
A) 5
B) 6
C) 7
D) 8
Answer:
D) 8
Step-by-step explanation:
8 x 2.5 = 20
and the rest is adult haircuts
6 x 5 = 30
Answer:
D) 8 Children’s Haircuts
Step-by-step explanation:
Let a represent the amount of adult haircuts and c represent the amount of child haircuts.
We know that she gave exactly 14 haircuts. So:
[tex]a+c=14[/tex]
We also know that she made $50.00. Therefore, the price of each haircut times their respective amounts will total $50. So:
[tex]5a+2.5c=50[/tex]
This is now a system of equations.
We can solve this using substitution. From the first equation, let’s subtract c from both sides:
[tex]a=14-c[/tex]
Now, we can substitute this into the second equation for a. This yields:
[tex]5(14-c)+2.5c=50[/tex]
Distribute:
[tex]70-5c+2.5c=50[/tex]
Combine Like Terms:
[tex]70-2.5c=50[/tex]
Subtract 70 from both sides:
[tex]-2.5c=-20[/tex]
Divide both sides by -2.5:
[tex]c=8[/tex]
Therefore, Kate gave 8 children’s haircuts.
This means that she gave [tex]14-8=6[/tex] adult haircuts.
So, our answer is D. She gave 8 children’s haircuts.
Mia says that when you rearrange 3a - p = m to make a the subject of the formula you get:
a = m - p / 3
Mia is wrong. Explain and show her how to do the
question correctly.
Answer:
[tex]a =\frac{m+p}{3}[/tex]
Step-by-step explanation:
[tex]3a - p = m[/tex]
→ First plus p to both sides to isolate 3a
[tex]3a = m+p[/tex]
→ Divide both sides by 3 to isolate a
[tex]a =\frac{m+p}{3}[/tex]
Answer:
see explanation
Step-by-step explanation:
Mia is wrong in that she has subtracted p from both sides instead of adding p to both sides.
Given
3a - p = m ( add p to both sides )
3a = m + p ( isolate a by dividing both sides by 3 )
a = [tex]\frac{m+p}{3}[/tex]
20 x (-124) x 5 find the value
Answer:
-2480
Step-by-step explanation:
multiplying a positive and a negative equals a negative. -20 (20x124)
multiply the numbers and -2480 is the answer
(-2x) 4
O A. – 16x4
O B. -8x4
O C. -2xt
O D. 84
O E. 16x4
Answer:
The answer should be -8x
Step-by-step explanation:
You would use distiputive property and multiple four by negitive two and you would end up getting -8x
Here is a riddle:
I am thinking of two numbers that add up to 5.678.
The difference between them is 9.876.
What are the two numbers?
Answer:
[tex]the \: two\: numbes \: are : \\ 7.777 \: and \: - 2.099[/tex]
Step-by-step explanation:
[tex]let \: the \: two \: numbers \: be : x \: and \: y \\ x + y = 5.678.....eq(1) \\ x - y = 9.876 .....eq(2)\\ x = 9.876 + y....from \: eq(2) \\ y = 5.678 - x....frm \: eq(1) \\ eq \:...y \: in \: terms \: o f\: x : \\ x = 9.876 + 5.678 - x \\ 2x = 15.554 \\ x = 7.777 \\ y = 5.678 - x = y = 5.678 - 7.777 \\ y= - 2.099.[/tex]
z=−45i−15.5 what are the imaginary parts
Answer:
-45i
Step-by-step explanation:
i is an imaginary number so the answer should be -45i, I hope this helps :)
You start at (3, 0). You move down 5 units and right 1 unit. Where do you end?
Answer:
Pretty sure it's (4, -5)
Step-by-step explanation:
If not, shoot me I guess.
is c=2.54n a proportional relationship
Answer:
No
Step-by-step explanation:
Answer:
yes because it is being multiplied by N
Mr. Lin received a box of books in the shape of a rectangular prism. The volume of the box is 486 in 3. What is the width of the
box?
18 in.
Use the formula W=Th, where l is the length of the prism, h is the height, V is the volume, and w is the width.
6 inches
9 inches
27 inches
81 inches
Mark this and return
Save and Evi
Answer:
W = 9 inches.
Step-by-step explanation:
The volume of a rectangular prism is given by
[tex]V=whl[/tex]
Where
w,h and l re width, height and length of rectangular prism
It is not mentioned that a box has a length of 18 inches and a height of 3 inches.
Using above formula.
[tex]486=w\times 18\times 3\\\\486=54w\\\\w=9\ \text{inches}[/tex]
So, the width of the box is 9 inches.
Multiply. Enter the product in simplest form.
3/4 x 2
Answer:
3/2 = 1 1/2
Step-by-step explanation:
3/4 * 2
Make 2 a fraction
3/4 * 2/1
Rewrite
3/1 * 2/4
3/1 * 1/2
Multiply
(3*1)/(2*1/)
3/2
Changing from a fraction to a mixed number
1 1/2
I=prt solveing for t
Answer:
t= i/pr
Hope this helps!!!!!!!!
11) g= y - xc , for x
A department store buys snow boots from a supplier for s dollars. The store manager decides on a 33% markup.find the retail price of snow boots, when the department store pays $20 to the supplier for each pair of snow boots?
Answer:
$26.60
Step-by-step explanation:
Derek is going to lay grass in a
rectangular space that measures
8. by 32 feet. Find the total area
that will be covered by grass?
THE ANSWER CHOICES ARE IN THAT PICTURE I PUT
Answer:
Step-by-step explanation:
i'd say either 29 1/6 or 32.53
PLEASE HELP ME!
Your health insurance premium is $102.13 each check. You get paid semi-monthly. How much is your insurance premium annually?
A. $2,451.12
B. $2,655.38
C. $1,225.56
D. $102.13
The annually premium for health insurance will be $2,451.12.
Option A is true.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The health insurance premium is $102.13 each check.
And, We get paid semi-monthly.
Hence, Monthly premium = 2 x $102.13
= $204.26
Since, 1 year = 12 months
Thus, The annually premium = 12 x $204.26
= $2,451.12
So, The annually premium for health insurance will be $2,451.12.
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5x - 26 = x + 50, then the value of x i
Answer:
x=19
Step-by-step explanation:
work shown either above or below
answer plss. Money here.
Answer:
Both angles are equal because they are corresponding so:
2x + 5 = 3x - 7
2x + 12 = 3x
x = 12
The graph represents the rate of two machines that fill water barrels. One machine has already filled 30 water barrels before the faster machine starts. According to the graph, the two machines will have filled a certain number of water barrels at about the same time. What is that number of barrels?
A) 45 barrels
B) 50 barrels
C) 80 barrels
D) 90 barrels
According to the graph, the number of barrels that the two machines would have filled at about the same time is; Option B; 50 Barrels
We are told that;
- Two machines fill water barrels
- One machine had filled 30 barrels before the faster machine started
- At a certain tile, they would have filled a number of water barrels at about the same time.
Now, from the graph, we see that;
The red line indicates the slower machine while the blue line indicates the faster machine.
Thus, the number of barrels they would have filled at about the same time is the number of barrels that corresponds to the point where both lines intersect each other.From the graph, the number of barrels at intersection point is 50 barrels.
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Question 1 please. Please help
Answer:
74.22
Step-by-step explanation:
52.39+21.83=74.22
PLEASE SOMEONE HELPP ASAP
2) Domain
Range
Function?
Answer:
domain range edge trangleRewrite the equation below so that it does not have fractions.
Do not use decimals in your answer.
Answer:
x=17/14
Step-by-step explanation:
(7/9)x+2=(5/6)
18 is the least common multiple between 9 and 6, so we can multiply each fraction by 18.
7 18 126
---- * ------ = -------- = 14
9 1 9
14x+2=(5/6)
5 18 90
---- * ------ = --------- = 15
6 1 6
14x+2=15
+2 +2
14x=17
x=17/14
Hope this helps!
Gerardo’s texting plan cost $20 per month, +0.05 per text message that is sent or received. Amelia’s plan cost $10 per month and $0.25 per text. Using the graph below, which statement is true?
Step-by-step explanation:
Let's turn that into a linear system:
\{ {{y=0.05x+20} \atop {y=0.25x+10}} .{y=0.25x+10y=0.05x+20.
Set the equations equal to each other and solve:
0.05x+20=0.25x+100.05x+20=0.25x+10
0.2x=100.2x=10
x=50x=50
We then plug in to get yy :
0.25(50)+10=22.50.25(50)+10=22.5
The solution to the system is \{ {{x=50} \atop {y=22.5}} .{y=22.5x=50. .
Now, let's turn our attention to the statements.
The first one is false: Emilia's rate is higher, and the two plans cost the same at 50 texts, after which point Hiroto's plan becomes cheaper!
The second one is also false: we already figured out that the lines intersect at x=50x=50 .
The third statement is also false: as above, the lines intersect at x=50x=50 .
The fourth statement is true: the lines intersect at x=50x=50 .
In conclusion, the fourth statement - "Both plans cost the same when 50 texts are sent" - is true.
Cred to ultroid
-3y=15
What is the slope of the line?
What is the y-int?
What is the x-int?
What is the zero?
Answer:
the slope of the line is 0
the y-int is -5
there is no x int since the is no slope
sorry about the last one, i forgot what the zero is
Factor the expression completely.
7x - x2
Answer:
x(7 - x)
Step-by-step explanation:
Given
7x - x² ← factor out x from both terms
= x(7 - x) ← in factored form
What is the value of x in the equation x + 5.1 = 0
Answer:
-5.1
Step-by-step explanation:
x + 5.1 = 0
- 5.1 -5.1
x + 0 = -5.1
x = -5.1
The value of x is -5.1
Given,
x + 5.1 = 0
We need to find the value of x.
How do we find the value of a variable in an expression?We always keep the required variable on one side and keep all the other variables on the other side of the equation.
Example:
x + b + n = 2 + 2x
We need to find x.
Since we have two x terms
We will keep both the terms on one side.
b+ n - 2 = 2x - x
2x - x = b + n -2
x = b + n - 2 is our x value.
We have,
x + 5.1 = 0
Subtracting 5.2 on both sides.
x + 5.1 - 5.1 = 0 - 5.1
x = - 5.1
Thus the value of x is -5.1
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Which of these numbers is irrational?
A) √5
B) 6/17
C) -4.99
D) 1.4...
find the value
f(-7)
Answer:
-7f
Step-by-step explanation:
move -7 to the left of f
Plz help on this math question Brainliest To first answer
Answer:
1. Angle 1 congruent to Angle 3, Angle 2 congruent to Angle 4 ( top row last box in answer choices)
2. Reflexive Property of Congruence
3. Angle DGF congruent to Angle DEF
Step-by-step explanation:
Opposite sides of a parallelogram are parallel , so angle 1 ≅ angle 3 and angle 2 ≅ angle 4 because they are alternate interior angles . By the reflexive property of congruence DF ≅ DF . Therefore , △ DGF ≅ △ DEF by the ASA congruence postulate . That means DE ≅GF and DG ≅EF by CPCTC .