Transformation involves changing the position of a graph
The equation of g(x) is [tex]\mathbf{g(x) = 8(2)^x}[/tex]
A geometric function is represented as:
[tex]\mathbf{y =ab^x}[/tex]
The graph of g(x) passes through (-1,4) and (-2,2)
So, we have:
[tex]\mathbf{2 =ab^{-2}}[/tex]
[tex]\mathbf{4 =ab^{-1}}[/tex]
Divide both equations
[tex]\mathbf{\frac{4}{2} =\frac{ab^{-1}}{ab^{-2}}}[/tex]
Divide
[tex]\mathbf{2 =b}[/tex]
Rewrite as:
[tex]\mathbf{b =2}[/tex]
Substitute 2 for b in [tex]\mathbf{4 =ab^{-1}}[/tex]
[tex]\mathbf{4 = a2^{-1}}[/tex]
Multiply both sides by 2
[tex]\mathbf{8 = a}[/tex]
Rewrite as:
[tex]\mathbf{a = 8}[/tex]
Substitute 2 for b and 8 for a in [tex]\mathbf{y =ab^x}[/tex]
[tex]\mathbf{y = 8(2)^x}[/tex]
Express as a function
[tex]\mathbf{g(x) = 8(2)^x}[/tex]
Hence, the equation of g(x) is [tex]\mathbf{g(x) = 8(2)^x}[/tex]
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Answer:
g(x)=8(2)^x
Step-by-step explanation:
1.A 15-passenger van is rented for a family
vacation. The van rental is $60.00 per day, plus a
$145.00 insurance fee. How many days can the
van be rented if they want to spend no more than
$625.00 on the van rental? Write and solve an
inequality.
2. Marco is limited to 7 hours of screen time
each week. He decides to watch a movie that is 1
hour and 20 minutes on Sunday. If he divides the
remainder of the time equally amongst the other
six days, then how many minutes can he watch
each day? Write and solve an inequality.
I need the inequality and solution please
Answer:
they can rent it for 9 days
Help!! ASAP
The question is down below
The scale on a
map is 1 inch represents 20 miles. You measure 6.5 inches between cities. What
is the actual distance ?
Answer:
130 miles
Step-by-step explanation:
The number of miles is 20 times the number of inches.
6.5 * 20 = 130
Answer: 130 miles
In a fruit cocktail, for every 20 ml of orange juice you need 45 ml of apple juice and 100 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
the ratio of apple juice to coconut milk to orange juice is:
45:100:20 = 9:20:4
WHEN DID I TELL MY TEACHER I WANT TO BE A MATHEMATICIAN WHEN I GROW UP!?!? Please help
Is this a guessing question? If so, I would assume/guess maybe late middle school, to high school? To ask earlier, must mean your really into math and you've taken a lot of time to think about it...
Answer: Is this guessing question
Step-by-step explanation: Maybe around high school? Good luck tho.
Jessica thinks that you can also use the expression 5(13h + 19) tofind the cost of the 1.5 hours job. Is Jessica correct? Justify your answer.
Answer:
d to the a
Step-by-step explanation:
Find the x and y value.
Answer:
x= 80
y= 77
180-23=157
80+77=157
157+23=180
NO LINKS PLEASE!
Determine the measure of
Answer:
OPTION 3 112 IS THE ANSWERRR
111 or 112 not sure which one
4. Find the value of x. a. 124 b. 63 c. 119 d. 56
Answer:
119
Step-by-step explanation:
You would do
180 - (63+56) = 119
Write an equation of the line that passes through (2, -1) and (-3, 3). help please
Answer:
[tex]y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis).
1) Determine the slope (m)
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (2, -1) and (-3, 3):
[tex]m=\displaystyle\frac{-1-3}{2-(-3)}\\\\m=\displaystyle\frac{-4}{2+3}\\\\m=-\displaystyle\frac{4}{5}[/tex]
Therefore, the slope of the line is [tex]-\displaystyle\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\displaystyle\frac{4}{5}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\displaystyle\frac{4}{5}x+b[/tex]
Plug in one of the given points and solve for b:
[tex]-1=-\displaystyle\frac{4}{5}(2)+b\\\\-1=-\displaystyle\frac{8}{5}+b\\\\b=\displaystyle\frac{3}{5}[/tex]
Therefore, the y-intercept is [tex]\displaystyle\frac{3}{5}[/tex]. Plug this back into [tex]y=-\displaystyle\frac{4}{5}x+b[/tex]:
[tex]y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}[/tex]
I hope this helps!
Answer:
y= -0.8x + 0.6
Step-by-step explanation:
PLEASE ANSWER I HAVE TO TURN THIS IN TOMORROW
Answer:
8
Step-by-step explanation:
-7 · ? = -56
-7 · 8 = -56
so -56 ÷ -7 = 8
8
HELP WHAT IS 22 + 5/8 x 1/2
Answer: The answer is 22.3125
Step-by-step explanation:
22 = 22 5/8 = 0.625 1/2 = 0.5
1) 22 + 5/8 x 1/2
2) 22 +( 0.625 x 0.5)
3) 22 + 0.3125
4) = 22.3125
Hope this helps:) I apologize in advance if it is wrong.
Angle STV is a straight angle the measure of angle STW is 125 the measure of angle WTV is X what is the value of X
Answer:
x = 55°
Step-by-step explanation:
If ∡STV is a straight angle (or 180°) and ∡STW is 125°, then we can assume that the angles look something like this
V | / W
| /
| x° /
T | /
| 125°
|
S |
Now this means that to get ∡WTV, we need to subtract ∡STW from ∡STV, which would look like this:
180 - 125 = 55
This means ∡WTV (or x) = 55°
The common denominator for 1/8 11/6
200 pepole attended the school play 65% were boys how many girls attended the play?
Answer:
35
Step-by-step explanation:
i took the k12 test
Jason drew a right triangle with complementary angles that measure (x + 3)° and (x + 9)°. What are the measures of the complementary angles?
A. 44° and 46°
B. 89° and 91°
C. 42° and 48°
D. 51° and 39°
Answer:
C. 42° and 48°
Step-by-step explanation:
Complementary angles: Angles that add up to 90°.
So we can set up an equation..
(x + 3) + (x + 9) = 90
2x + 12 = 90
2x = 78
x = 39°
Now we can find the angles.
Angle 1:
(x + 3)
= 39 + 3
= 42°
Angle 2:
(x + 9)
= 39 + 9
= 48°
And we can check to see if they add to 90°,
42° + 48° = 90°
2x=1.6-1.2x what is x?
Simplify (−2a2b4)3. Select the correct answer. Question 1 options:
A −2a6b12
B 8a6b12
C 2a5b7
D −8a6b12
Step-by-step explanation:
[tex] = {( - 2 {a}^{2} {b}^{4} )}^{3} [/tex]
[tex] = {( - 2)}^{3} {a}^{2 \times 3} {b}^{4 \times 3} [/tex]
[tex] = - 8 {a}^{6} {b}^{12} [/tex]
Option → D
Luca Is putting cookles Into bags. She has 35 cookies. She wants to put 3 cookles In each bag. She divides to find out how many bags she can till.
35 ÷ 3 = 11 r2
What does the answer mean?
Answer:
D.
35 ÷ 3 = 11.7
3 x 11 = 33
35 - 33 = 2
She can fill 11 bags and have 2 left over.
Step-by-step explanation:
Answer: 35/3
Step-by-step explanation:
R-squared is a statistical measure that represents the proportion of the variance for a dependent variable that's explained by an independent variable.
Which graph represents y as a function of x?
Answer:
The last one is the answer.
Step-by-step explanation:
Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5.$
I'l give brainliest if correct.
have a great day
Answer:
y = -1/3x - 1/3
Step-by-step explanation:
x + 3y = -5
3y = -x - 5
y = -1/3x -5/3
Slope - 1/3
Point: (-7,2)
y- intercept = 2 - (-1/3)(-7) = 2 - 7/3 = -1/3
A number is 8 less than 5 times the same number.
Write this item into an algebraic expression or equation.
A number x is 8 less than 5 times the same number x. This means that :
x +8= 5x
We can also write :
5x = x +8
5x - x = x + 8 - x
4x = 8
4x / 4 = 8 / 4
x = 2
Order the numbers from least to greatest!
-1.6, -75%, 5/2, -7/8, 0.9, 6/5
Please I need help!
Answer: -0.875 -0.75 -1.6 0.9 1.2 2.5
Step-by-step explanation:
i don’t know can someone help
Answer:
x = -13
Step-by-step explanation:
Equation:
(6x+8)/7 = -10
Multiply both sides by 7:
7* (6x+8)/7 = -10*7
6x+8 = -70
Subtract both sides by 8:
6x + 8 - 8 = -70 - 8
6x = -78
Divide both sides by 6:
6x/6 = -78/6
x = -13
Check answer:
(6*(-13) + 8)/7 = -10
(-78 + 8)/7 = -10
(-70)/7 = -10
-10 = -10
Our answer is correct :)
Answer:
Step-by-step explanation:
x = -13
CAN SOMEONE HELP ME!!!
Answer:
g(x) = 0.5(0.8)^x + 2.
Step-by-step explanation:
At large positive values the required function needs to tend to the value 2, so that excludes the 2 middle functions.
The function is also decreasing so the value in the parentheses must be < 1,
so it must be the last function.
In quadrilateral HJKL shown below, point J can be mapped to point K by a 46 counterclockwise rotation about point H, and point K can be mapped to point L by a 72 counterclockwise rotation about point H.
Explain why HJ must be congruent to HL.
Determine the measure of HJL
By transitive property, HJ is congruent to HL.
Measure of ∠HJL = 31°
What is quadrilateral?A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.
There are two types of quadrilateral : concave quadrilateral and convex quadrilateral.
Convex quadrilaterals are then sub-categorized to quadrilaterals like trapezoid, parallelogram, rectangle, rhombus, and square.
Given,
In quadrilateral HJKL,
Point J can be mapped to point K by a 46° counterclockwise rotation about point H.
So, ∠JHK = 46°
and HJ = HK --------(1)
point K can be mapped to point L by a 72 counterclockwise rotation about point H.
So, ∠KHL = 72°
and HK = HL --------(2)
By equation (1) and (2), applying transitive property
HJ = HL
Now, in triangle JHL
HJ = HL
Angles in a triangle are equal if opposite sides to them are equal
∴ ∠HJL = ∠HLJ
Sum of interior angles of a triangle is equal to 180°
∠HJL + ∠HLJ + ∠JHL = 180°
∠HJL + ∠HJL + ∠JHK + ∠KHL = 180°
2∠HJL + 46° + 72° = 180°
2∠HJL = 180° - 118°
2∠HJL = 62°
∠HJL = 31°
Hence, by the calculation HJ is congruent to HL
and 31° is measure of ∠HJL.
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How do you suppose to clean your kitten?
Answer:
you are not supposed to bath them but if they need cleaned try to wipe them down with a damp rag
Step-by-step explanation:
HELP PLEASE 100 POINTS FOR CORRECT ANSWER!
Answer:
a-2 is the answer for the problem
Help plz who ever helps they are nice
Answer:
i'll help
Step-by-step explanation:
Jeffrey can jog 5 miles in 40 minutes. How many more miles can he jog in 90 minutes than in 40 minutes? Assume the relationship is proportional and he jogs at a constant rate.
Answer:
I am a cat
Step-by-step explanation:
Meow
He can jog 6.25 miles more in 90 minutes than in 40 minutes.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Given that Jeffrey can jog 5 miles in 40 minutes.
Assume the relationship is proportional and he jogs at a constant rate.
Let x miles can he jog in 90 minutes
According to the given situation, we can write a ratio as
5 miles : 40 minutes = x miles : 90 minutes
⇒ 5 / 40 = x / 90
Apply the cross-multiplication operation,
⇒ 5 × 90 = x × 40
⇒ 450 = 40x
⇒ 40x = 450
Divided by 40 both sides of the equation,
⇒ x = 450/40
Apply the division operation,
⇒ x = 11.25
Thus, the number of miles can he jog in 90 minutes than in 40 minutes will be : 11.25 - 5 = 6.25 miles
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