The output of function g(r) = -5x + 13 when r is 3 is -2.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
g(r) = -5r + 13
Input r = 3
g(3)
= -5 x 3 + 13
= -15 + 13
= - 2
Thus,
The output is -2.
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Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
GCF = 4
add to: -14
multiply to: 45
4(x-5)(x-9)
Step-by-step explanation:
What is the slope of the line? (30 points)
Answer:
Slope = -1 or (-1/1)
Step-by-step explanation:
slope = m
Point 1: (0, 2); Point 2: (2, 0)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 0 - 2 -2
m = ----------- = ---------- = ------- = -1 or (-1/1)
x₂ - x₁ 2 - 0 2
I hope this helps!
The mean and median of the five Numbers are the same 4 6 x y 10
The value of x is 7 and value of y is 8
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given data set is {4, 6, x, y, 10}
The mean and the median are the same value.
The median is the middle value, which is x, and the mean is:
M = (4 + 6 + x + y + 10)/5
Then we have that:
(4 + 6 + x + y + 10)/5 = x
Now let's solve this:
(4 + 6 + x + y + 10) = 5x
20 + x + y = 5x
20 + y = 4x
And x and y are whole numbers. Then we can take x = 7 to get:
20 + y = 4*7
y = 28 - 20 = 8
Then we have x = 7 and y = 8.
Hence, the value of x is 7 and value of y is 8 in the data set 4 6 x y 10
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What is the length of the longer side ?
Answer:
C.11
Step-by-step explanation:
a perimeter is the total length of all sides of a rectangle. so
rectangle has 4 sides and it says that the shorter side is 5 so 5+5 for the shorter side and it's 10
32-10=22
22÷2= 11
(basta yan lang alam ko, sorry kung mali.)
help for 100 points please please
Answer:
Step-by-step explanation:
Take the percentages for both 1992 and 2000 and make the average. that is your answer
Here are several function rules. Calculate the output for
each rule when you use -6 as the input.
Rule #
Output
1
2
3
5
6
Answer: 6
Step-by-step explanation:
Question 2: The Northside Knights were competing in a soccer game against the Goshen Gladiators. The Knights, k, scored 3 more goals than the Gladiators, g. The game had a total of 7 goals. Write a system of equations that could be used to determine the amount of goals each team scored.
Answer:
ppppppppppppppppppppppppppppppppppp dogwater freee
Step-by-step explanation:
PLS HELP
what would be the equation for this one?
Answer:
x^2 + y^2 = 25
Step-by-step explanation:
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can see that the center is (0, 0) by looking at the graph, and the radius is 5 because it is marked. Plugging these in we get:
x^2 + y^2 = 25
The area of a rectangular painting is 5376 cm². If the width of the painting is 64 centimeters, what is its length? (no links)
Answer:
84 cm
Step-by-step explanation:
Area=a, length=l, width=w
[tex]A=lw[/tex]
If area is 5376 cm², and width is 64 cm,
[tex]5376=64l[/tex]
Divide each side by 64,
[tex]l=84[/tex]
So, the length of the rectangle is 84 cm.
Help with this question
Answer: A. X=4
Step-by-step explanation:
Since the line is on the X axis you can see its touching x,4 y,0
A car travels 200 miles on 10 gallons of gas. At this rate, how many gallons will it need to travel 280 miles
Answer:
14
Step-by-step explanation:
200 / 10 = 20
20 miles a gallon
280 / 20 = 14
:)
Answer:
14 gallons
Step-by-step explanation:
200 miles takes ten gallons, and 280 is equal to 100 percent plus 40 percent of 200, and 140 percent of 10 is 14. if that makes sense
Find the value of x. Round to
the nearest tenth.
10
IX
500
X = [?]
Enter the number that belongs in
the green box.
Enter
Answer:
x = 88.2
Step-by-step explanation:
Reference angle = 10°
Opposite = x
Adjacent = 500
Apply TOA:
Tan 10° = x/500
Multiply both sides by 500
500*Tan 10° = x
88.1634905 = x
x = 88.2 (nearest tenth)
Galeno wants to buy a video game at a store having a 20% off storewide sale. The regular price of the video game is $50. The sales tax on the video game is 5.75%. How much does Galeno pay for the video game?
Answer:
42.30
Step-by-step explanation:
which number is greater than the number at point p
Write an expression which is equivalent to w(4w3 + 8w4) – (5w3 – 2w5)
Answer:
4w4 + 10w5 - 5w3
Step-by-step explanation:
A small snowcone costs $0.75 at the local snowcone shack. Mrs. Eckelberry had the snowcone shack deliver small snowcones for some of her students. She spent $18.75 for the snowcones. The equation 0.75s = 18.75 could be used to determine how many snowcones were ordered. How many snowcones did Mrs. Eckelberry order? * 16 pointsss!
Answer:
25 snowcones
Step-by-step explanation:
0.75s = 18.75, where (s) is the number of students/snowcones ordered
Divide both sides by 0.75:
0.75s/0.75 = 18.75/0.75
s = 25
help help help help help
Answer:
the answer is (3,4) and (2,3)
Step-by-step explanation:
that's my answer
How many ways can a teacher choose three students from a class of 19 to go to the office and pick up a package?
Answer:
6.333... but you would have 6.3 with a line over the 3
Step-by-step explanation:
19 divided by 3
If P is the midpoint of ST, SP = x + 4, and ST = 4x, determine the length of ST.
The length of ST is 16 units.
What is Line segment?A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.
We have to given that;
Point P is the midpoint of ST.
SP = x + 4, and ST = 4x
Since, P is the midpoint of ST.
Hence, We get;
⇒ SP = PT
And, ST = 2 SP
Substitute all values we get;
⇒ 4x = 2 (x + 4)
⇒ 4x = 2x + 8
⇒ 4x - 2x = 8
⇒ 2x = 8
⇒ x = 4
Thus, The value of ST = 4x
= 4×4
= 16
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√
18
−
√
2 simplify far as possible
Answer:
2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2x9}[/tex] - [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
How do you know if a triangle is right acute or obtuse?
if a²+b²>c², the triangle is acute, if a²+b2²=c², the triangle is a right triangle, and if a²+b²<c², the triangle is obtuse.
where a and b are the lengths of the two shorter sides of the triangle and c is the length of the longest side.
A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.
An acute triangle has three angles that each measure less than 90°. In an acute-angled triangle, all three internal angles of the triangle are acute, that is, they measure less than 90°.
An obtuse triangle is a triangle with one angle that is greater than 90° degrees, it is not possible for a triangle to have more than one obtuse angle.
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Your grandmother has given you some money, and now you plan to save what she has given you along with a certain amount of money each week. After 17 weeks, you have $570, and after 29 weeks, you have $822. a) Find an equation (in slope-intercept form) of the amount of money saved after × weeks.
An equation in slope-intercept form of the amount of money saved after x weeks is y=21x+213.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Given that, after 17 weeks, you have $570, and after 29 weeks, you have $822.
Here, (17, 570) and (29, 822)
Substitute (x₁, y₁)=(17, 570) and (x₂, y₂)=(29, 822) in m=(y₂-y₁)/(x₂-x₁)
= (822-570)/(29-17)
= 252/12
= 21
Substitute, m=21 and (x, y)=(17, 570) in y=mx+c, we get
570=21×17+c
570=357+c
c=213
Substitute, m=21 and c=213 in y=mx+c, we get
y=21x+213
Therefore, an equation in slope-intercept form of the amount of money saved after x weeks is y=21x+213.
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Given P(A)=0.31P(A)=0.31, P(B)=0.5P(B)=0.5 and P(A\text{ or }B)=0.535P(A or B)=0.535, find the value of P(A and B) rounding to the nearest thousandth, if necessary.
Answer:0.275
Step-by-step explanation:
Which angles are vertical angles?
Answer:
∠8 and ∠5
Step-by-step explanation:
Vertical angles are angles that are across from each other.
∠8 and ∠5 are across from each other.
How many solutions does the system y 3x 4 and 6x 2y 8 have?
The system y = 3x + 4 and 6x - 2y = 8 has no solutions.
A system of equations is a set of equations with multiple variables. To determine the number of solutions for a system of equations, one can use the following methods: graphing, substitution, or elimination. In this case, we can use the elimination method by adding or subtracting the equations to eliminate one of the variables.
If we add the two equations, we get y = 3x + 4 + 6x - 2y = 8, which results in 3x + 4 = 8. This is an inconsistent equation and does not have any solutions. Therefore, the system y = 3x + 4 and 6x - 2y = 8 has no solutions.
This shows that the system is inconsistent, which means that there's no solution that satisfies both equations.
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15. Lee hit a golf ball with an initial velocity of 150 feet per second at an angle of 45 degrees above the horizontal. Calculate how long the ball will be in the air to the nearest tenth of a second.
Answer: [tex]21.6\ s[/tex]
Step-by-step explanation:
Given
The initial velocity of the ball is [tex]u=150\ ft\s[/tex]
Angle of projection [tex]\theta=45^{\circ}[/tex]
The time of flight of the ball is given by
[tex]T=\dfrac{2u\sin \theta}{g}\\\\[/tex]
Insert the values
[tex]T=\dfrac{2\times 150\times \sin 45^{\circ}}{9.8}\\\\T=\dfrac{212.132}{9.8}\\\\T=21.6\ s[/tex]
An item costs $430 before tax , and the sales tax is $34. 40. Find the sales tax rate. Write your answer as a percentage
The sales tax rate on the item = 8%
We know that the sales tax is nothing but the purchase price times the percentage of tax.
An item costs $430 before tax.
This means, the purchase price is 430 dollars.
The sales tax is $34. 40
To find: the sales tax rate as a percentage
First we find a ratio of the sales tax to the cost of the items before tax.
Sales tax / Pre-tax value of item = (34.40) / 430
Now we write a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.
i.e., (34.40) / 430 = sales tax percent / 100
So, the sales tax percent = 8%
Therefore, the sales tax is of 8%
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f(x) = 2x^2 – 3x – 9
g(x) = 4x^2 - 9
Find ( f/g)(x).
Answer:
(f/g)x = (x - 3)/(2x - 3)
Step-by-step explanation:
Try and see if f(x) can be factored.
g(x) = (2x - 3) (2x + 3)
That means that perhaps f(x) has one of these two factors.
(2x 3)(x 3)
You want the 2x and 3 to multiply. The middle term has to be -, so when 2x and 3 multiply likely it is 3 that gives you the minus answer.
(2x + 3)(x - 3) should be the way f(x) factors, and it is.
f(x) / g(x) = (2x + 3) (x - 3)
(2x + 3)(2x - 3)
2x + 3 cancels. The answer is
(f/g)x = (x - 3)/(2x - 3)
The ratio of cassettes tapes to compact discs is 5 to 2, and the number of cassette tapes is 10 less than 5 times the number of compact discs. How many cassette tapes are there
There are 4 cassette tapes.
Given that,
Let x be the number of compact discs
Then 5 times the number of CD's= 5x and 10 less than 5 times the number of CDs is 5x-10
Therefore the number of cassettes is 5x-10
Now we are told that the ratio of cassettes to CDs which is
((5x-10)/x) equals 5/2 so our equation to solve is:
(5x-10)/x=5/2 multiply both sides by 2x to get rid of the fractions and we get:
2(5x-10)=5x
Further solving this equation, we get:
10x-20=5x
5x=20
x= 4 (number of compact discs)
Thus, there are in total 4 cassette tapes.
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In the figure above AB = 4x + 6 and BC = 7x + 15. If AC = 120, find the length of segment AB.
Answer:
x = 9
Step-by-step explanation:
AB = 4x + 6 and BC = 7x + 15 AC is the sum of AB and BC
so 4x + 6 + 7x + 15 = 120 add like terms
11x + 21 = 120 subtract 21 from both sides
11x = 99 divide both sides by 11
x = 9