9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.
Evaluating Functions in Graphical Form
Try it
tu
GO
Use the graph to evaluate the function for the given input
value.
20
f(-1) =
10
f(1) =
-10
-20
Intro
Done
Step-by-step explanation:
Step 1: Find the value of f(-1)
Using the graph, locate where x = -1. We can see that when x = -1, y is equal to about -8. Therefore, f(-1) = -8.
Step 2: Find the value of f(1)
Using the graph, locate where x = 1. We can see that when x = 1, y is equal to about -12. Therefore, f(1) = -12.
The evaluated function:
f(-1) = -8 and f(1) = -12.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
As per the information provided, it is given that the evaluated points are:
(-2, 0), (-1, -8), (0, -6), (3, 0), (1, -12), and (2, -20).
To find the evaluated function at x = -1,
We have:
f(-1) = -8.
And to find the evaluated function at x = 1.
we have:
f(1) = -12.
Therefore, f(-1) = -8 and f(1) = -12.
To learn more about the function;
brainly.com/question/28303908
#SPJ7
Have to finish these by the 23rd :(
Answer:
5/6
Step-by-step explanation:
x²- 3x + 7 / x + 4
when [x = 2]
Putting the value of x,
2² - 3(2) + 7 / 2 + 4
= 4 - 6 + 7 / 6
=5 / 6
Tìm x
(x+1)^2=x+1
Help me!!Pls
A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance traveled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 7 miles. Find the probability of the following events: a. The car travels more than 69 miles per gallon. Proba
Answer:
0.28386
Step-by-step explanation:
Given that :
Mean, μ = 65 miles
Standard deviation, σ = 7 miles
Probability that car travels more than 69 miles per gallon :
Recall,
Z = (x - μ) / σ ; x = 69
Z = (69 - 65) / 7 = 0.5714
The probability :
P(Z > z) = P(Z > 0.5714) = 1 - P(Z < 0.5714)
P(Z > 0.5714) = 1 - P(Z < 0.5714) = 1 - 0.71614 = 0.28386
P(Z > 0.5714) = 0.28386
Find the measure of the indicated angle to the nearest degree
Answer:
57°
Step-by-step explanation:
,using soh cah TOA the sides in the right angle concerning us are the adjacent and hypotenuse
where 14 is the adjacent and 26 is the hypotenuse
...therefore cos(x) ,that is,the unknown angle
cos(x)=14/26
cos(x)=0.5385
cos¹(0.5385)=57.42
A spinner numbered 1 to 6 is spun ten times, giving the results : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6. The experimental probability of getting a 2 is:
Answer:
1 / 5
Step-by-step explanation:
Given the outcome of number cube spin : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6
The experimental probability of an event, A is given as :
P(A) = number of times A occurs / total number of trials
Therefore, the experimental probability of getting 2 ;
P(getting 2) = Number of times 2 occurs / total number of trials
P(getting 2) = 2 / 10 = 1/5
1. The sum of x and 10 is -1. Find x.
Answer:
0 ,1cyvkdcbdfiiihh7v6ctc6e5a5ise5aasusti
Please help explanation if possible
Answer: y= 1x+1
Step-by-step explanation:
The slope- intercept form is y=mx+b.
m is the slope(rise over run) and b is the y-intercept.
With this knowledge and the graph, m is 2/2 or 1, and b is 1.
The length of the pencil is 8x + 2 and length of pen is 4x + 1. Find the difference between their lengths.
Answer:
4x + 1
Step-by-step explanation:
(8x + 2) - (4x + 1)
subtract the terms that are common,,
8x-4x=4x
2-1=1
therefore, it would be 4x + 1
if you need more help with these, feel free to sub to gauthmath on subreddit
8abx−10a2b+12ax2−15a2x plz regroup and factories this expression
Answer:
2x (4a-5b)2+ 3x (3a-4b)
I hope this answer was helpfull for you
cho tam giác ABC vuông tại A < góc B=a chứng minh: a) 1+[tex]tan^{2}[/tex]a=[tex]\frac{1}{sin^{2}a }[/tex]
làm giúp mình với
[tex]\\ \sf\longmapsto 1+tan^2A[/tex]
[tex]\boxed{\sf tanA=\dfrac{sinA}{cosA}}[/tex]
[tex]\\ \sf\longmapsto 1+\dfrac{sin^2A}{cos^2A}[/tex]
[tex]\\ \sf\longmapsto \dfrac{cos^2A+sin^2A}{cos^2A}[/tex]
[tex]\boxed{\sf cos^2A+sin^2A=1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{cos^2A}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{1-sin^2A}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{1}-\dfrac{1}{sin^2A}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{sin^2A}[/tex]
Hence verified
hello i need help someone please!!
find the inverse of this relation
h(t) = -6t + 7
Answer:
73
Step-by-step explanation:
Answer:
[tex]h^{-1}[/tex] (t) = [tex]\frac{7-t}{6}[/tex]
Step-by-step explanation:
let y = h(t) and rearrange making t the subject
y = - 6t + 7 ( add 6t to both sides )
6t + y = 7 ( subtract y from both sides )
6t = 7 - y ( divide both sides by 6 )
t = [tex]\frac{7-y}{6}[/tex]
Change y back into terms of x with t = [tex]h^{-1}[/tex] (t)
[tex]h^{-1}[/tex] (t) = [tex]\frac{7-t}{6}[/tex]
Can someone plz help me I need help
Answer:
C'(-1,-2), V'(-2,2), N(2,0)
Step-by-step explanation:
Dilation of (1/2) means multipling (1/2) to every coordinate. C'(-1,-2), V'(-2,2), N(2,0).
Tha length of a side of equilateral traingle is give below. find the perimeter of traingles
i. l=4cm
ii. 5.5 cm
Answer:
i. 12cm
ii. 16.5cm
Step-by-step explanation:
The side lengths on an equilateral triangle are all equal to each other. So if one side is given we can find the perimeter of the triangle by multiplying one of the sides by 3.
4*3=12
5.5*3=16.5
Solve for x in the drawing above.
Answer:
x is 28°
Step-by-step explanation:
Alternate angles of parallel lines:
[tex]{ \sf{x = \frac{1}{2} \times 56 \degree }} \\ { \sf{x = 28 \degree}}[/tex]
Answer:
Hello,
28°
Step-by-step explanation:
Calculate the complementary angle of x =y
In the triangle on the right :
y+y+56°=180°
y=62°
So x=90°-62°=28°
(x + 8) ^ 2-2 (x-8) (x-2) + (x + 2) ^ 2 = 15
x= -21 / 40
I hope it will help you
A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor.
Answer and Step-by-step explanation:
A box office predicts to open the weekend box office gross for a movie, and analysts plan to use the online trailer views as a predictor. The 66 movies and the number of the online trailers view from the trailer through the Saturday before the movie and open the weekend box office gross in a million dollars. Linear regression was performed on the data, and the result is the linear regression equation such as Y = -0.724 + 1.41X. At 0.05 level of significance, the linear relationship between the view and opening weekend is as H0: B1 = 0 H1:B is not equal to 0. To compute the test statistic, do the test. The standard error of deviation for this is Syx = 20.702, and the line model is appropriate. Click the icon to view the data on trailer views and open the weekend box office gross. The linear relationship between the trailer views and opening weekend box gross is to compute the test statistics at the level of significance. The test statistic is round to two decimal places as needed, and the p-value is round to three decimal.
41.687510 to binary form
I believe your answer would be 101001.1011000000000000101.
Hope this helps!
Have a great day!
To solve the equation -4m = 8, you would _______ -4 on both sides of the equation.
a - multiply by
b - divide by
c - add
d - subtract
Answer:
divide by
Step-by-step explanation:
-4m = 8
Divide each side by -4
-4m/-4 = 8/-4
m = -2
Wich graph is the result of the reflection f(x) =1/4(8)^x across the y axis and then across the x- axis
Answer:
I assume that the function is:
[tex]f(x) = \frac{1}{4}*8^x[/tex]
Now let's describe the general transformations that we need to use in this problem.
Reflection across the x-axis:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
Reflection across the y-axis:
For a general function f(x), a reflection across the y-axis is written as:
g(x) = f(-x)
Then a reflection across the y-axis, and then a reflection across the x-axis is just:
g(x) = -(f(-x)) = -f(-x)
In this case, we have:
[tex]f(x) = \frac{1}{4}*8^x[/tex]
then:
[tex]g(x) = -f(-x) = -\frac{1}{4}*8^{-x}[/tex]
Now we can graph this, to get the graph you can see below:
I just need the numbers anyone help ?
Answer:
See below & pic.
Step-by-step explanation:
Start by plotting the given point. Then use the slope to find two more points. From the given point go up 2 and right 4. GO back to the given point. Go down 2 and left 4. Now you have 3 points. Connect them with a line.
Which angles are adjacent to each other?
Angle 8 and Angle 4
Angle 3 and Angle 6
Angle 2 and Angle 7
Angle 4 and Angle 3
Answer:
<4 and <3
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
I hope this helps.
Answer:
angles 4 and 3
Step-by-step explanation:
its the right answer
[tex]\sqrt{x - 5} - \sqrt{3 - 2.x} = 0[/tex]
Answer:
x = 8/3
Step-by-step explanation:
Copy the right side of the given to the right side of the equation.
sqrt(x - 5) = sqrt(3 - 2x) Square both sides.
x - 5 = 3 - 2x Add 2x to both sides
2x + x - 5 = 3 Combine
3x - 5 = 3 Add 5 to both sides.
3x = 3 + 5 Combine
3x = 8 Divide by 3
x = 8/3
The rational number -13/-5 lies to the right of zero on the number true or false.
Answer:
true
hope it helps
PLEASE MARK BRAINLIEST
The perimeter of a rectangular park is 300 feet. The length of the park is 10 feet longer than the width.
Find the length of the park.
What is the length of the park?
feet=?
Answer:
80 ft
Step-by-step explanation:
width = w
length = w+10
Perimeter of a rectangle
P = 2(l+w)
300 = 2(w+10+w)
300 = 2(2w+10)
Divide by 2
300/2 = 2/2(2w+10)
150 = 2w+10
Subtract 10
150-10 = 2w+10-10
140 = 2w
Divide by 2
140/2 = 2w/2
70 = w
l = w+10
l = 70+10
w = 80
Solve for both x and y in the parallelogram below.
Answer:
x is 14 and y is 13
Step-by-step explanation:
[tex]{ \sf{(4y - 5) = (3y + 8)}} \\ { \sf{y = 13}}[/tex]
[tex]{ \sf{(x + 12) = 2y}} \\ { \sf{x + 12 = 2(13)}} \\ { \sf{x + 12 = 26}} \\ { \sf{x = 14}}[/tex]
4y-5=3y+8( opposite sides of parallelogram are equal)
or, 4y-5-3y=8
or, 4y-3y=8+5
.•. y=13
now,
x+12=2y
x+12=2*13
x=26-12
.•. x=14
What is the value of x in the equation 1/5x - 2/3y
=
30, when y = 15?
Answer:
x = 200
Step-by-step explanation:
Plug in 15 as y into the equation and solve for x:
1/5x - 2/3y = 30
1/5x - 2/3(15) = 30
1/5x - 10 = 30
1/5x = 40
x = 200
So, when y = 15, x = 200
Write the function for the graph.
Answer:
B)
Step-by-step explanation:
exponential function given by:
[tex] \displaystyle f(x )= a \cdot{b}^{x} [/tex]
where:
a is the y-interceptb can be any numbersince the function crosses y-axis at (0,4) point
[tex]a = 4[/tex]to find a we can consider (1,8) point it tells us when x is 1 then y is 8 thus:
[tex] \displaystyle 8= 4 \cdot{b}^{1} [/tex]
[tex] \displaystyle 8= 4 \cdot{b}^{} [/tex]
divide both sides by 4:
[tex] \displaystyle \boxed{b = 2}[/tex]
altogether substitute:
[tex] \displaystyle f(x)= 4 \cdot{2}^{x} [/tex]
hence our answer is B)
x+y=4
x-2y=-5
If the first equation is multiplied by 2 and then the equations are added, the result is
=3
3 = 13
o3х=3 3
Answer:
3x = 3
Step-by-step explanation:
x + y = 4 × 2
= 2x + 2y = 8
2x + 2y = 8 + x - 2y = -5
3x = 3
What is the shaded area of the figure?
Answer:
Step-by-step explanation:
The idea here is to find the area of the circle and then subtract from it the area of the triangle. That will give you the area of what's left in the circle (the shaded part). The area of a circle is:
[tex]A_c=\pi r^2[/tex] so
[tex]A_c=(3.14)(12.4)^2[/tex] where 12.4 is the radius.
[tex]A_c=482.81[/tex] rounded to the nearest tenth. I used 3.14 for pi.
Now for the area of the triangle. The formula is
[tex]A_t=\frac{1}{2}bh[/tex] where h is the height of 12.4 and the base is the diameter which is 12.4 * 2 = 24.8
[tex]A_t=\frac{1}{2}(24.8)(12.4)[/tex] so
[tex]A_t=153.76[/tex]
Now subtract the triangle's area from the circle's area:
482.81 - 153.76 = 329.05 mm²