Answer: x= -7
Step-by-step explanation:
If f(x) and r1(x) are inverse functions of each other and f(x)=2x+5 , what is f^-1(8) ?
PLEASE HELP!!
Answer:
3/2
Step-by-step explanation:
Given y = 2x + 5, let's rewrite the equation in terms of x;
y = 2x + 5 => Bring 5 to the other side
2x = y - 5 => Divide either side by 2
x = (y - 5)/2
If we want to take the inverse, simply swap the variable's positions...
We have y = (x - 5)/2
Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1
f^-1(8) = (8 - 5)/2 = 3/2
Solution: 3/2
a3 + 27 what sign is the first binomial
Answer:
a3+27
a +BC
=a 30
30+a
=30ⁿ
Triangle A B C is shown with centroid G. Lines are drawn from each point of the triangle through the centroid and to the midpoint of the opposite side to form line segment A D, line segment B E, and line segment C F. The length of line segment D G is x minus 15 and the length of line segment G A is x + 7.
G is the centroid of triangle ABC.
What is the value of x?
What is the length of segment DG?
What is the length of segment AG?
What is the length of segment AD?
Answer:
37
22
44
66
Step-by-step explanation:
the value of x is 37
the length of segment DG is 22 units
The length of segment AG is 44 units
the length of segment AD is 66 units
took it on edg
hope this helps (:
The length from the vertex to the centroid is twice the length from the
centroid to the midpoint of the opposite side.
x is 37Segment [tex]\overline {DG}[/tex] is 22Segment [tex]\overline {GA}[/tex] is 44Segment [tex]\overline {AD}[/tex] is 66Reasons:
The known parameters are;
The centroid of ΔABC = Point G
Segments [tex]\overline {AD}[/tex], [tex]\overline {BE}[/tex], and [tex]\overline {CF}[/tex] are the medians of ΔABC
Length of line segments [tex]\overline {DG}[/tex] = x - 15
Length of line segments [tex]\overline {GA}[/tex] = x + 7
Required:
The value of x, and lengths of the segments of median [tex]\overline {AD}[/tex]
The median is divided at the centroid of the triangle to ratio 2:1
[tex]Length \ of \ line \ segment \ \overline{GA} = \dfrac{2}{3} \times \overline{AD}[/tex]
Therefore;
[tex]\overline{AD} = \mathbf{\dfrac{3}{2} \times \overline{GA}}[/tex]
[tex]Length \ of \ line \ segment \ \overline{DG} = \mathbf{\dfrac{1}{3} \times \overline{AD}}[/tex]
Therefore;
[tex]\overline{AD} = 3\times \overline{DG}[/tex]
Which gives;
[tex]\dfrac{3}{2} \times \overline{GA} = 3\times \overline{DG}[/tex]
Therefore;
[tex]\dfrac{3}{2} \times (x + 7) = 3\times (x - 15)[/tex]
3·x + 21 = 6·x - 90
21 + 90 = 6·x - 3·x
111 = 3·x
3·x = 111
[tex]x = \dfrac{111}{3} = 37[/tex]
x = 37
[tex]\overline {DG}[/tex] = x - 15
The length of line segment [tex]\overline {DG}[/tex] = 37 - 15 = 22
[tex]\overline {GA}[/tex] = x + 7
Length of line segment [tex]\overline {GA}[/tex] = 37 + 7 = 44
[tex]\overline {AD}[/tex] = [tex]\overline {DG}[/tex] + [tex]\overline {GA}[/tex]
Therefore;
Length of line segment [tex]\overline {AD}[/tex] = 22 + 44 = 66
Learn more here:
https://brainly.com/question/7698132
A reflection across the line y= x occurs to the preimage point (2,2). What is the image of the point after the transformation
Answer:
big brain time
Step-by-step explanation:
2.2
dont quote me, im 2.
The graph shows the absolute value parent function.
Which statement best describes the function?
example of absolute value
F( x )=| x |
Step-by-step explanation:
In mathematics, the absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x if x is positive, and |x| = −x if x is negative (in which case −x is positive), and |0| = 0. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.
Yvette uses 6 grams of tea leaves of make 24 fluid ounces of tea. Last week she made 288 fluid ounces of tea. How many grams of tea leaves did Yvette use to make tea last week?
Answer:
72 grams of tea leaves.
Step-by-step explanation:
288/24=12
12*6=72
find the equation of the line with a slope of -2 that passes through the point (4,-3)
Answer:
y = -2(4) -3
Step-by-step explanation:
y = mx + b
m in the equation means slope
x in the equation means x intercept
b in the equation means y intercept
y = -2(4) -3
plz mark brainliest if helpful
Why are there number in the middles I’m so confused
Step-by-step explanation:
The numbers between the squares are the possible answers.
For example, 2/3 ÷ 3/4 is either 1/2 or 8/9.
2/3 ÷ 3/4
2/3 × 4/3
8/9
The answer is 8/9, so you'll move up to the next square.
Which of the following is the solution of 5x – 6 = 44?
Answer:
x=10
Step-by-step explanation:
5x-6=44
Add 6 to each side
5x-6+6 = 44+6
5x = 50
Divide by 5
5x/5 = 50/5
x=10
Which of the following is a solution of the equation 9 - 2x = -1?
a. -4
b. 5
c. 4
d. -5
Answer:
5
Step-by-step explanation:
Help pleaseeeeekwkwkwksksksksksks
Answer: D
Step-by-step explanation:
it equals 15/12
Answer:
The answer is d :)
Step-by-step explanation:
5 + 4 + 3 + 2 +1 = 15
so D would equal 15/12
what is the answer for x+7=2(x-15)
Answer:
x=37 Hope this helped <3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+7=2(x−15)
x+7=(2)(x)+(2)(−15)(Distribute)
x+7=2x+−30
x+7=2x−30
Step 2: Subtract 2x from both sides.
x+7−2x=2x−30−2x
−x+7=−30
Step 3: Subtract 7 from both sides.
−x+7−7=−30−7
−x=−37
Step 4: Divide both sides by -1
Answer:
[tex]\boxed {x = 37}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x + 7 = 2(x - 15)[/tex]
-Use Distributive Property:
[tex]x + 7 = 2(x - 15)[/tex]
[tex]x + 7 = 2x - 30[/tex]
-Take [tex]2x[/tex] and subtract it from [tex]x[/tex]:
[tex]x + 7 - 2x = 2x - 2x - 30[/tex]
[tex]-x + 7 = -30[/tex]
-Subtract [tex]7[/tex] to both sides:
[tex]-x + 7 - 7 = -30 - 7[/tex]
[tex]-x = -37[/tex]
-Divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{-37}{-1}[/tex]
[tex]\boxed {x = 37}[/tex]
So, the value of [tex]x[/tex] is [tex]37[/tex].
Find the quotient. 3 divided by 1/9
please help
Answer:
27Step-by-step explanation:
[tex]3\div\frac19=3\times\frac91=3\times9=27[/tex]
What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form?
y = one-half x minus three-fourths
y = one-half x + three-fourths
y = three-fourths x minus one-half
y = three-fourths x + one-half
Answer:
it was B
Step-by-step explanation:
cause i smart
Answer:
B
Step-by-step explanation:
Just took the test
The triangle with side lengths 4, 4, and 5 would be
Which one doesn't belong?
Graph
Where is the graph I need to see the graph for the answer
write an equation of the line passing through the point (8,7) that is perpendicular to the line y+7=-7/17(x+8)
A.y= -7/17x+63/17
B.y=7/17x+7
C.y= -17/7x-87/7
D.y= -17/7x + 7
Plz help asap!!!
Answer:
y= 17x/7 - 87/7
The answer would be C is the slope is positive so I'm assuming it's a typo
Step-by-step explanation:
1.) When a slope is perpendicular that means that you do an opposite reciprocal so -7/17 turns into 17/7
2.) Use point slope form and solve for y
y-y1= m(x-x1)
y-7= 17/7 (x-8)
y-7= 17x/7 - 136/7
y= 17x/7 - 87/7
Determine the y-intercept of the following parabola:
y = 2(x - 5)2 + 4
(0,____ )
Answer:
(0, 54)Step-by-step explanation:
(x, y) = (0, __) ⇒ x=0
y = 2(x - 5)² + 4
y = 2(0 - 5)² + 4
y = 2×25 + 4
y = 50 + 4
y = 54 ⇒ (0, 54)
A full glass of water can hold 1/6 of a bottle.
How many glasses of water can be filled with 32 bottles of water?
Answer:
192 glasses of water
Step-by-step explanation:
32 : 1/6 =
32 * 6/1 =
192 glasses of water
Edited[36 * 6/1] to [32 * 6/1 ]
PLZ HELP QUICK ILL MARK BRAINLEIST!!!
17. a) You are HANGRY and need food. You stop at Burger King and order 4
whoppers for $3 each, 2 large fries for $2 each, 5 ten piece nuggets for $1
each, and 5 oreo shakes but you are unsure of how much they cost. Your
total was $36. Choose the equation that can be used to determine how
much each shake cost..
5x + 21 = 36
5x + 14 = 36
OB
ОА
5x + 17 = 36
5x + 9 = 36
Answer:
21 + 5x = 36 or 5x + 21 = 36
Step-by-step explanation:
4(3) + 2(2) + 5(1) + 5x = 36
21 + 5x = 36
Mr. Ling defined two linear functions. He represented one function with a table of values and graphed the other function, as shown below
Which statement is true about the slope?
F. The slope of the function in the table is equal to the slope of the function in the graph
G. The slope of the function in the table is the opposite of the slope of the function in the graph.
H. The slope of the function in the table is the reciprocal of the slope of the function in the graph.
J. The slope of the function in the table is the opposite reciprocal of the slope of the function in the graph.
PLEASE HELP I REALLY NEED IT TO PASS ALGEBRA!!!! please please help
Answer:
G. The slope of the function in the table is the opposite of the slope of the function in the graph.
Step-by-step explanation:
Let's calculate the the slope of the function represented by values on a table and also the function represented on a graph.
Slope of the function represented by the table:
Use any two pairs. Let's use (1, 1) and (2, 4).
[tex] slope(m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{2 - 1} = \frac{3}{1} = 3 [/tex]
The slope of the linear function represented by the table of values is 3.
Slope of the function represented by the graph:
Use any the coordinates of any two points on the line graph. Let's use (0, 4) and (1, 1).
[tex] slope(m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 4}{1 - 0} = \frac{-3}{1} = -3 [/tex]
Therefore, the statement that is correct is:
"G. The slope of the function in the table is the opposite of the slope of the function in the graph."
3 is the opposite of -3.
sequencing of rigid motions matters . true or false ?
Answer:
False.......................
Step-by-step explanation:
Please mark as brainlist answers
This shape is a polygon.
O True
O False
Answer:
True
Step-by-step explanation:
Hope this helps!
1. Match each diagram with its name.
A
B
Answer:
supplementary angles
Step-by-step explanation:
help me with geometry
Answer:
I'm pretty sure its 3/2
Step-by-step explanation:
if the rest of the sides are 3/2, and all of the angles are the same, then the other side is the same ratio, since the triangles are similar
Naomi has a new kitten. She bought a litter bot with the dimensions shown in the picture. How much cat litter does she need to fill the completely?
Answer:
2,032.02 inches cubed of litter
Step-by-step explanation:
You have to multiply all of the numbers to find the area
Find the slope of the line that is parallel to y = -x = 1
A. -1
B. 5/4
C.1
D.-5/4
Answer: A) -1
Step-by-step explanation: Parallel slopes are always the same, therefore a slope that is -1 is parallel to another slope that is equal to -1.
For every 1/150 square mile Xavier mows, Boa mows 1/120square miles. How many square miles does Xavier mow for every 1 square mile?
A. 3/5
B. 4/5
C. 5/4
D 15/17
Answer:
4/5
Step-by-step explanation:
step 1: Divide 1/150 by 1/120. (You should get 0.8)
step 2: convert 0.8 into a fraction over 10. (8/10)
step 3: simplify that fraction by dividing 8/10 by 2, which will give you your final answer, 4/5.
The required square miles that Xavier mow 4 / 5. Option B is correct.
Given that,
For every 1/150 square mile Xavier mows, Boa mows 1/120square miles, how many square miles does Xavier mow for every 1 square mile is to be determined.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Ration of Xavier to Boa = 1 / 150 / 1 / 120
= 120 / 150
= 12 / 15
= 4 / 5
Thus, the required square miles that Xavier mow 4 / 5. Option B is correct.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ2
A basketball team played six games. In those games, the team won by 9 points, lost by 18, won by
8, won by 11, lost by 3, and won by 5. What was the mean difference in game scores over the six
games?
Answer: 2
Step-by-step explanation:
From the question, we are informed that a basketball team played six games and that in those games, the team won by 9 points, lost by 18, won by 8, won by 11, lost by 3, and won by 5.
Thee mean difference in game scores over the six games will be calculated as the summation of the scores divided by 6. This. Will be:
= [9 + (-18) + 8 + 11 + (-3) + 5]/6
= 12/6
= 2
The mean difference in game scores over the six
games is; 2
We are given the points by which a basketball team either won or lost 6 games.
- Won by 9 points = +9
- Lost by 18 points = -18
- Won by 8 points = +8
- Won by 11 points = +11
- Lost by 3 points = -3
- Won by 5 points = +5
Thus;
Mean difference of the 6 games is;
(+9 - 18 + 8 + 11 - 3 + 5)/6
>> 12/6
>> 2
Read more about mean difference at; https://brainly.com/question/20118982
HELP
Use the vertical line test to determine which graph does not represent a function.
Graph A
Graph B
or Graph C????
Answer:
Graph B is not a function, because the graph intersects the vertical line more than one.
Step-by-step explanation: