The slope of the line represents that the remainder of the goal decrease by 8 for each card sold.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The line passes through the point (1, 8) and (2, 16), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-8=\frac{16-8}{2-1}(x-1)\\\\y=8x[/tex]
The equation of the line is given by y =8x
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Which represents the inverse of the function f(x) = 4x?
Oh(x) =x+4
O h(x) =x-4
O h(x) = 3/4x
O h(x) = =1/2x
Answer:
h(x) = 1/2x f(x) = 4x 4x/2=2xSo,h(x) = 1/2xThe inverse of the function of f(x) = 4x is h(x) = x/4
Inverse of the functionSince f(x) = 4x, to obtain its inverse, we write f(x) = y
So, y = 4x.
We now divide both sides by 4. so, we have
y/4 = 4x/4
y/4 = x
Next, we replace x with y. So,
y/4 = x
x/4 = y
Next, we now replace y with f⁻¹(x) which is the inverse of f(x).
So, y = x/4
f⁻¹(x) = x/4
Since f⁻¹(x) = h(x), replacing these, we have
h(x) = x/4
So, the inverse of the function of f(x) = 4x is h(x) = x/4
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15 POINTS AND BRANLIEST
Find the area of the figures below
[tex]Area = \frac{(6 + 10) \times 7}{2} \\ [/tex]
[tex]Area = \frac{16 \times 7}{2} \\ [/tex]
[tex]Area = \frac{2 \times 8 \times 7}{2} \\ [/tex]
[tex]Area = 8 \times 7[/tex]
[tex]Area = 56 \: \: {in}^{2} [/tex]
Answer:
Area: [tex]56in^2[/tex]
Step-by-step explanation:
The formula for the area of a trapezoid is:
[tex]A = \frac{a+b}{2}h[/tex]
so replacing with the given values we get:
[tex]a = 6in\\h = 7in\\b = 10in[/tex]
[tex]A = \frac{6in+10in}{2}7in = 56in^2[/tex]
So our final answer is [tex]56in^2[/tex]
The function h(t) = -16t2 + vt + 10 gives the height of a platform diver above the water, in teet, t seconds
after the diver leaves the platform with an initial velocity, w, in feet per second,
Simplify. Solve as fast as possible.
Answer:
-5y
Step-by-step explanation:
[tex]\sqrt{y^2}[/tex] = y if x > 0
-5[tex]\sqrt{y^2}[/tex] = -5y
Can anybody help me with this pls?
a plane intersects the coordinate axes at the point (2,0,0), (0,3,0) and (0.0.4) the obteined point is ax+by+cz+d, find value of d
Answer:
d = 12
Step-by-step explanation:
In intercept form, the equation of the plane is ...
x/a +y/b +z/c = 1 . . . . . for x, y, z intercepts a, b, c
You have (a, b, c) = (2, 3, 4), so the equation of the plane is ...
x/2 +y/3 +z/4 = 1
Multiplying by 12 gets rid of the fractions and puts the equation in standard form:
6a +4y +3z = 12
The value of d is 12.
A shed has dimensions of 12m in length and 5 m in width. Both the length and
width are increased by the same amount in order to increase the floor area by
more than double the original area. What is the amount of the increase in length?
Answer:
Length = 24
Step-by-step explanation:
It says, " Both the length and width are increased by the same amount..." this means that both 12m and 5m were increased. So 12 + 12 = 24 and 5 + 5 = 10.
lol Looks like someone has the same math assignment as me
Please help me as soon as possible.
[tex]\begin{array}{llll} x~-2y=-13\\ 5x+2y=-17\\ \cline{1-1} 6x+0y=-30 \end{array}\qquad \implies 6x=-30\implies x=\cfrac{-30}{6}\implies x=-5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{(-5)-2y=-13\implies }-2y=-8\implies y = \cfrac{-8}{-2}\implies y = 4 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-5~~,~~4)~\hfill[/tex]
Which graph represents the function?
Answer:
I believe it's the middle graph. since their is a closed dot on the first line and the other 2 inequality symbols indicate that their are 2 open dots, I think the middle is correct
Simplify. Show all steps
-25y - (5y - 41)
Which of the following is an example of a ratio variable?
A-Martha is the same gender as Ruth
B-Mary's IQ is 115 and Janet's is a 90, which means Mary's IQ is slightly higher than Janet's
C-Sam is twice the age of his son
D-George and Harry attend religious services about the same amount
Identify the two statements that contradict each other.
1. AABC is an acute triangle.
II. A, B, and C are coplanar.
III. B is the midpoint of AC.
help pls
Tom, Lisa, and Jane are competing in a cooking competition. They all used different amounts of sugar from a can containing 4 pounds of sugar.
Tom used 13% of the total sugar in the can.
Lisa used 0.6 pound of the total sugar in the can.
Jane used 0.12 of the total sugar in the can.
Who used the greatest amount of sugar from the can? Show your work and explain your answer in words.
State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible
Answer:
c) ASA
Step-by-step explanation:
Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)
which statement correctly compares two value?
The value of the 5 in 50.89 is 1/10 the value of the 5 in 261.58.
The value of the 5 in 50.89 is 10 times the value of the 5 in 261.58.
The value of the 5 in 50.89 is 1/100 the value of the 6 261.58.
The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58
Answer:
The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58
Step-by-step explanation:
The 5 in 50.89 is in the 10's place
The 5 in 261.58 is in the 1/10's place
1/10(100) = 10
PLEASE HELP ME I'M GIVING OUT LOTS OF POINTS!!
Answer:
(d) a1 = 11
Step-by-step explanation:
Put the numbers in the given formula and solve for a1.
a5 = 176 = a1(r^(5-1)) = a1·r^4
a7 = 704 = a1(r^(7-1)) = a1·r^6
Dividing a7 by a5 gives ...
a7/a5 = (a1·r^6)/(a1·r^4) = r^2 = 704/176 = 4
Then a1 is ...
a1 = a5/(r^4) = 176/(r²)² = 176/(4²) = 11
The first term is 11.
Hi, mal :> hehehe
( its [tex]a_{1} = -11[/tex])
Your welcome..... ;]
Plssss help!!! Asap tyyy.
Answer:
1):Reaction
2):Action
3):Thought
4): Dialogue
Step-by-step explanation:
Answer:
Mrs. Boggs's generously inspired us to study harder - Reaction Mrs. Boggs agreed to tutor us all before the test - Action I believe that Mrs. Boggs is the most caring teacher I know - Thought "Of course I will tutor you before the test" she said - DialogueStep-by-step explanation:
Hoped this helped.
Am stuck on this question, please help:
5 to the power of 11
Find the length of the third side of the right triangle.
The length of the third side is ____
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
15
Step-by-step explanation:
17 squared minus 8 squared it is the pythagorean theorem but backwards. c squared minus b squared equals a squared. in this case a is b. 17 times 17 is 289 and then subtract 8 squared or 64 to get 225. then we need to find the squared root of 225 which is 15 and this is the answer
What is the product of y and 10
Answer:
10y
Step-by-step explanation:
product means to multiply so you would multiply y and 10 so the options would be
10y
y x 10
What is the equation for the graph shown?
Answer: y=2/3x+4
Step-by-step explanation:
this will be written out in y=mx+b form. M stands for the slope, and b stands for the y-intercept, or where the line intersects with the y-axis.
going left to right, the line slopes upward, therefore it is a positive slope. This means that the “m” part of the equation will be a positive number. When finding the slope, we use rise over run. On your graph, if you take one point and rise 2, then run right 3, you will find another point! We have now found that the slope is 2/3x.
let’s plug this into our equation. Y=2/3x +b
lastly, we find the y-intercept. This is simply where the line intersects with the y-axis. In this case, it is positive 4. So the y-intercept is 4.
our final equation is: y=2/3x +4
i hope this is helpful.
find the equation of a circle (3,2) (1,4)
Answer:
y = −x + 5
Explanation:
Use the slope formula and slope-intercept form y = mx + b to find the equation.
Hope this helped. Have a good one!
What is the change in elevation for
(3)(4)(-3.5)
Hey there!
(3)(4)(-3.5)
= 12(-3.5)
= -42
Therefore, your answer SHOULD be: -42
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What are the prime numbers out of 4 5 6 7 8 9 ?
If overline BE || overline CD , find the perimeter of triangle ACD . А 6 4 B 10 E x - 4; x - 2 y D 24 20
The perimeter of a triangle is the sum of its side lengths.
The perimeter of triangle ACD is 40 units
Start by calculating the values of x and y, using the following equivalent ratios
[tex]6 : 4 = x - 2 : x - 4[/tex]
[tex]6 : 10 = 6 + x - 2 : y[/tex]
So, we have:
[tex]6 : 4 = x - 2 : x - 4[/tex]
Express as fraction
[tex]\frac 64 = \frac{x-2}{x-4}[/tex]
Cross multiply
[tex]6x - 24 = 4x - 8[/tex]
Collect like terms
[tex]6x - 4x = 24 - 8[/tex]
[tex]2x = 16[/tex]
Divide both sides by 2
[tex]x = 8[/tex]
Also, we have:
[tex]6 : 10 = 6 + x - 2 : y[/tex]
Express as fraction
[tex]\frac 6{10} = \frac{6 + x -2}{y}[/tex]
Substitute 8 for x
[tex]\frac 6{10} = \frac{6 + 8 -2}{y}[/tex]
[tex]\frac 6{10} = \frac{12}{y}[/tex]
Cross multiply
[tex]6y = 120[/tex]
Divide both sides by 6
[tex]y = 20[/tex]
The perimeter of triangle ACD is then calculated as:
[tex]P =6 + x - 2 + y + x - 4 + 4[/tex]
Substitute values for x and y
[tex]P =6 + 8 - 2 + 20 + 8 - 4 + 4[/tex]
[tex]P =40[/tex]
Hence, the perimeter of triangle ACD is 40 units
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100 POINTS AND BRANIEST
3) Compare the two groups of data. Which BEST describes data? A) on average boys are 3 centimeters taller than girls B) on average boys are 6 centimeters taller than girls C) on average boys are 9 centimeters taller than girls D) on average boys are 12 centimeters taller than girls
B
Step-by-step explanation:
calculate how long the lines are
Answer:
A 3-column table with 4 rows. Column 1 is labeled Number of Girls with entries 2, 8, 0, 4. Column 2 is labeled Height in Inches with entries 51, 52, 53, 54. Column 3 is labeled Total Height with entries 102, 416, 0, 216. The national average height for girls in the sixth grade is also 52 inches. Find the average height of the girls in this class. The total number of girls is . The total height of the girls is inches. The expression to find the mean is . The average height of the girls in this class is inches.
Step-by-step explanation:
mark me brainliest ok
Please help me! The width of a rectangle is 7y-3.5 feet and the length is 3.5y+10 feet. Find the perimeter of the rectangle
Answer:
7y-3.5+7y-3.5+3.5y+10+3.5y+10
Step-by-step explanation:
21y+13
pls brainliest
Point P(5,0) is on the terminal arm of an angle k in standard position.
Determine the value of cosk.
The value of the cosine of angle [tex]k[/tex] is 1.
Given a point [tex](x,y)[/tex] that is a terminal arm of an angle [tex]k[/tex] in standard position, by trigonometric relations we have the following expression for the cosine:
[tex]\cos k = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
Where:
[tex]k[/tex] - Angle measure, in sexagesimal degrees.[tex]x[/tex] - Horizontal position of the point of the terminal arm, no unit.[tex]y[/tex] - Vertical position of the point of the terminal arm, no unit.If we know that [tex]x = 5[/tex] and [tex]y = 0[/tex], then the cosine of the angle [tex]k[/tex] is:
[tex]\cos k = \frac{5}{\sqrt{5^{2}+0^{2}}}[/tex]
[tex]\cos k = 1[/tex]
The value of the cosine of angle [tex]k[/tex] is 1.
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can you guys help me plz
Answer:
1) x>1
2) x<6
3) x>34
4) x>-4
5) x<2
6) x>-36
7) x<=4
8) x>-2
9) x>=2
10) x>14
What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360
Answer: 35°
Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.
I hope this helps!
-Notsonerdy
Which relation is also a function? {(2,0), (3,2), (2,3)} {(0,0), (3,0), (5,0)} {(3,1), (3,2), (3,3)} {(5,2), (5,4), (2,6)}
Answer:
only{(0,0), (3,0), (5,0)} (the x axis)
Step-by-step explanation:
as all the others have more than one possible output y for a unique input x