The numbers inside the parentheses are the x values. Replace x with each number and solve.
F(1) = 50 + 30(1)= 50+ 30 = 80
F(2) = 50 + 30(2)= 50 + 60 = 110
F(3) =!50 + 30(3)= 50 + 90 =140
The value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given below.
f(x) = 50 + 30x
The value of the function at x = 1, will be
f(1) = 50 + 30 × 1
f(1) = 50 + 30
f(1) = 80
The value of the function at x = 2, will be
f(2) = 50 + 30 × 2
f(2) = 50 + 60
f(2) = 110
The value of the function at x = 3, will be
f(3) = 50 + 30 × 3
f(3) = 50 + 90
f(3) = 140
Thus, the value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.
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find the value of x
Answer:
110°
Step-by-step explanation:
In triangle AOB
OA = OB (radii of same circle)
[tex] m\angle OAB = m\angle OBA =20\degree [/tex]
[tex] m\angle AOB = 180\degree - (20\degree +20\degree) [/tex]
[tex] m\angle AOB = 180\degree - 40\degree [/tex]
[tex] m\angle AOB = 140\degree [/tex]
[tex] m\widehat {ACB} =m\angle AOB = 140\degree[/tex]
(measure of minor arc is equal to corresponding central angle)
[tex] x\degree = \frac{1}{2} (360\degree - 140\degree) [/tex]
(inscribed angle theorem)
[tex] x\degree = \frac{1}{2} \times 220\degree [/tex]
[tex]\huge\purple {x = 110} [/tex]
Find the equation of the line through point (−2,−1) and perpendicular to 5x+6y=−6.
Step-by-step explanation:
When lines are perpendicular to each other
multiplying their gradients(m) will equal to - 1
so , m1 × m2 = -1
1st:Find m1
5x+6y= -6
make y the subject,
6y= -5x -6
[tex]y = \frac{ - 5x - 6}{6} [/tex]
y= -5/6x - 1
because y = mx + c
m1 = -5/6
2nd:find m2
-5/6 × m2 = -1
m2 = 6/5
3rd: substitute m2 and the coordinates into y=mx+c
y=mx+c
-1= (6/5)(-2)+c
-1 = -12/5 + c
-5 = -12 + c
-5+12= c
c = 7
4th: substitute m2 and c into y= mx+c to find the equation the line
y =6/5x + 7 (Ans)
As per slope-intercept form, the equation of the line through point (−2,−1) and perpendicular to 5x + 6y = -6 is 5y = 6x + 7.
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is y = mx + c.
Here, 'm' is the slope and 'c' ix the y-intercept of the given line.
The given equation is 5x + 6y = - 6
Therefore, in slope-intercept form, this equation will be:
y = - 5x/6 - 1
Therefore, the slope of this line is m = - 5/6 and the y-intercept is c = - 1.
The required line is perpendicular to the given line.
Therefore, the slope of the required line is
= - 1/m
= 6/5
Again, the required line passes through the point (- 2, - 1).
Therefore, - 1 = - 2(6/5) + c
⇒ c = - 1 + 12/5
⇒ c = 7/5
The equation of the required line is
y = (6/5)x + 7/5
⇒ 5y = 6x + 7
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c)PLEASE MAN PEOPLE ARE USING ME FOR POINTS
Calculate the measures of spread for Mrs Hampton's class data. Justify your
response by describing the process used to find each measure, (2 points)
The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
Interquartile Range:
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
Range: 8 - 1 = 7
Variance:
We start by determining the mean,
[tex]\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57[/tex]
n = number of numbers in the set
Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.
[tex]\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571[/tex]
5.3
Standard Deviation
We take the square root of the variance,
[tex]\sqrt{5.28571} = 2.29906[/tex]
2.3
If you are not familiar with variance and standard deviation, just leave it.
Answer:
the one above is right lol
Step-by-step explanation:
I NEED HELP ASAP!!! Question is in the photo
Answer:
x = 88.333
Step-by-step explanation:
Octagon = 1080 degrees
1080 = 2x + x + 143 + 152 + 116 + 125 + 140 + 139 (Clean up the problem)
1080 - 815 = 3x
265 = 3x (Divide each side by 3)
x = 88.333
What is the slope of (-7,-1) (9,-9)
Answer:
-8/16 or -1/2
Step-by-step explanation:
Hi, use the slope-intercept formula (rise over run)
(y₂-y₁)/(x2-x1)
(-9--1)/(9--7)
(-9+1)/(9+7)
-8/16
-1/2
54 out of the 90 employees at the water slides are temporary employees. What percentage of the employees at the water slides are temporary?
I need help ASAP PLEASE!!!!
I will give
Brainliest
Answer:
yx=yz+ax
Step-by-step explanation:
Find the equation of the line shown
Answer:
y=2x
Step-by-step explanation:
as y goes up 2 x goes up 1
Edwin has £300 in his savings account His bank offers him a fixed 5% simple interest rate per annum for a period of 3 years How much internet will he have earned after 3 years?
Answer: £45
Step-by-step explanation:
First find the amount of simple interest in on year:
= Amount * simple interest rate
= 300 * 5%
= £15
Now that you have the annual interest, the 3 year interest is:
= 15 * 3 years
= £45
Latoya is building a fence around her garden. For every 4 feet of fencing, the cost is $36.
Answer:
Length of fencing: 4, 6, 7, 9, 10
Cost: 36, 54, 63, 81, 90
Step-by-step explanation: I hope this gave you your answer!!
Can yalllll plllllssss hellppp meeee
Give the vertex on the following graph, state whether it is a minimum or maximum?
Answer:
Pls
Answer:
maximum- (-3,5)
Step-by-step explanation:
A certain tree can grow 0.445 meter in one year. At
that rate how much can the true grow in 3 years?
Answer:
1.335
Step-by-step explanation:
you have to do this equation .445 x 3 =1.335
If, on their own, it takes 6 hours for Person A to complete a task and 9 hours for Person B to complete the same task, then how many hours would it take if they worked together? Estimate your answer to 4 places after the decimal, if necessary.
Answer:
Step-by-step explanation:
A does 1/6 of the task per hour.
B does 1/9 of the task per hour.
Together, they do 1/6+1/9 = 5/18 of the task per hour, finishing in 18/5 hours.
18/5 = 3.6 hours
A right triangle has a leg with a length of 21 units and a hypotenuse with a length of 21 V2 units Eunice states that because the hypotenuse is twice the length of the given leg, the right triangle is a 30"-60"90" triangle.
Answer:
2nd and 3r are the correct options.
Step-by-step explanation:
Determine whether the given value is a solution of the equation.
b
6; b =78
13
78 (select) a solution.
is 78 the solution or not
Answer:
78 is a solution
Step-by-step explanation:
The given equation is b/13 = 6
Therefore, by applying the multiplication property of equality, we have by multiplying both sides by 13, we have;
b/13 × 13 = 6 × 13
The 13 in the denominator of b/13 divides the 13 in the multiplicand to give 1, and we get the following equation
b/13 × 13 = b × 1
Therefore;
b/13 × 13 = b × 1 = 6 × 13 = 78
b × 1 = 78
By the multiplicative identity property of '1', we get;
b × 1 = 1 × b = b
∴ b × 1 = b = 78
b = 78
∴ 78 is a solution of the equation.
Using the grid below, let's plot the following points and label them with the letter.
A) (2,1)
B) (0,0)
C) (-4,3)
D) (-2,-5)
E) (1,-3)
F) (0,4)
G) (-5,1)
H) (-2,0)
Answer:
Step-by-step explanation:
A: look at the graph, find the x axis of 2 and on the y axis 1.
B basically the center
C look for x axis of -4, y axis for 3
D x axis -2, y axis -5
E x axis 1, y axis -3
F Center then go up 4
G x axis -5, y axis 1
H x axis -2, y axis 0
All the points A(2, 1), B(0, 0), C(-4, 3), D(-2, -5), E(1, -3), F(0, 4), G(-5, 1), and H (-2, 0) are located on the graph.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.
The points are given below.
A(2, 1), B(0, 0), C(-4, 3), D(-2, -5), E(1, -3), F(0, 4), G(-5, 1), and H (-2, 0)
All the points A(2, 1), B(0, 0), C(-4, 3), D(-2, -5), E(1, -3), F(0, 4), G(-5, 1), and H (-2, 0) are located on the graph.
The graph is attached below.
More about the coordinate geometry link is given below.
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A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. Find the speed of the boat as she paddles if the river current is 2 km/h (2 answers)
Answer:
Step-by-step explanation:
5 km/h or 6 km/h
Step-by-step explanation:
Let the speed of the boat be x
Speed against the current in the river is x - 2
Time in the river:
6/(x - 2)
Time in the lake:
15/x
The difference:
6/(x - 2) = 15/x - 1
Solve for x to find the speed of the boat
Multiply both sides by x(x - 2) to clear the fraction:
6x = 15(x - 2) - x(x - 2)
6x = 15x - 30 - x² + 2x
x² - 11x + 30 = 0
(x - 5)(x - 6) =0
x -5 = 0, x - 6 = 0
x = 5 km/h, x = 6 km/h
PLEASEEE
Find the equation of the line.
Use exact numbers.
+
y
9 +
8
7-
6+
5+
4
3-
24
2
-9-8-7-6-54-3-2
2 3
5 6 7 8 9
-2-
-3
-5
There are three people in Melissa's family. The range of their shoe sizes is 5. Two people her family wear shoe size 7. Melissa's shoe size is not 7 or 11. What is Mellissa's shoe size?
Answer:12
Step-by-step explanation:
The range is simply the highest number minus the smallest number. Since we are told that 2 members of the family have shoe size of 7 and the range is 5, then Melissa shoes size will be:
= 5 + 7
= 12
Can someone pls help me with this?
Answer:
the answer is C
Step-by-step explanation:
I need help with both please :)
What operation does the expression "7y" mean?
Answer:
Multiplication
Step-by-step explanation:
7y means 7 times the value of y. So 7 times y = 7y
Solve the quadratic equation.
m^2/15 -3 = 2
The answer is [tex] 5 \sqrt{3} [/tex]
Explanation :[tex] \frac{ {m}^{2} }{15} - 3 = 2[/tex]
[tex] \frac{ {m}^{2} }{15} = 2 + 3[/tex]
[tex] \frac{ {m}^{2} }{15} = 5[/tex]
[tex] {m}^{2} = 5 \times 15[/tex]
[tex] {m}^{2} = 75[/tex]
[tex]m = \sqrt{75} [/tex]
[tex]m = \sqrt{25 \times 3} [/tex]
[tex]m = \sqrt{25} \times \sqrt{3} [/tex]
[tex]m = 5 \sqrt{3} [/tex]
CMIIW
Wich value of x is a solution of 5 x + 13 _ = _____ ? x 6
Answer:
ANSWER IS x = 2.6
[tex]5x + 13 = \: 2.6\times 6[/tex]
Step-by-step explanation:
[tex]5x + 13 \\ x = 13 \div 5 \\ x = 2.6[/tex]
\a truck travels at an average of 55 miles per hour once inside city limits the truck decreases it speed by 40 percent what is the speed in city limits
Answer: 33 mph
Step-by-step explanation:
First find out what 40% of 55 is:
= 40% * 55
= 22 mph
This means that the speed reduces by 22 mph inside the city.
The speed inside the city is therefore:
= 55 - 22
= 33 mph
52 in
39 in
What is the length of the hypotenuse?
C =
inches
Find the values of x and y.
Answer:
y=180-63-63/2=27degree...in triangle mln
x=180-27-63=90....in triangle mon
Answer:
y=27, x=80
Step-by-step explanation:
∠N= 63°(angles opposite to equal sides)
2∠y+63+63=180°(angle sum property)
2∠y=54°
∠y=27°
27°+63°+∠x=180°(ASP)
∠x=180°-90°=90°
Hope it helps, mark me brainliest pls
In 1978, a Japanese designer named Tomoyuki Ono grew the first cube-shaped watermelon.
The fruit is placed in a box when it is small, and it grows into the shape of the box. Akira
bought one of these cube-shaped watermelons at the market. The watermelon's edges were
11 inches long.
What was the volume of Akira's watermelon?
Write your answer as a whole number or decimal. Do not round.
Help! Please!
Factor the polynomial completely.
32z^5-2z
Answer:
2z(4z^2+1)(2z+1)(2z-1)
Step-by-step explanation:
here is just some basic polynomial factoring where you find something both the numbers have in common and you take that out of the equation. here i just went a little bit deeper and after taking out the common factor i also expanded my answer further as this would be the fully correct answer.
hope this helps!
Answer:
2 z ( 4 z ^2 + 1 )( 2 z+ 1 ) ( 2 z − 1 )
Step-by-step explanation: