Answer:
5.2
Step-by-step explanation:
g(x) = mx +b
g'(x) = m = 2 for all x
g(-1) = 2(-1) + b = 5
-2 + b = 5
b = 7
So, g(x) = 2x + 7
Therefore g(-.9) = 2(-.9) + 7
= -1.8 + 7 = 5.2
The value of g(-0.9) is equal to 5.2.
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
g(x) is a differentiable function.
We have to use the function's local linear approximation at x = -1.
g(-1) = 5
g'(-1) = 2
As We have to use the function's local linear approximation:
Let assume, g(x) = mx + b
Differentiating both sides,
g'(x) = m
∴ g'(-1) = 2 = m
m = 2
g(x) = 2x + b ...(i)
g(-1) = 5
Using in eq (i)
5 = -2 + b
b = 7
g(x) = 2x + 7
Let's substitute x = -0.9 to find out the answer.
g(-0.9) = 2(-0.9) + 7
= 7 - 1.8 = 5.2
The value of g(-0.9) is equal to 5.2.
Hence, The value of g(-0.9) is equal to 5.2.
To learn more about Function, click:
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Please help me
Identify a value of k that transforms f into g, where g(x) = f(x) + k.
Answer:uhhhhhhhhhh
Where dem beats been doe i den had to start spitting bars not work on the beats cuz I didn’t have you man bro
Step-by-step explanation:
Please helpppppp pleaseeeeeeeeeee.....PLEASE
pls help me combing like terms g-9g
Answer:
-8g
Step-by-step explanation:
If it is in that order:
You can either do
1g(same a just g)-9g
or
-9g+1g and you get -8g for each
Help babes!! It’ll be much appreciated!!
Answer:
[tex] \sqrt[3]{125} = \sqrt[3]{5 \times 5 \times 5} = 5[/tex]
A. 5 is the right answer.On = Q1 + (n - 1)d
A basketball game awards a prize if Christian can shoot a basket. The charge is $5.00 for the first shot, then $2.00 for
each additional shot. Christian needed 11 shots to win a prize. What is total amount Christian spent to win a prize?
$25
O $20
O $52
O $35
Answer:
The total amount Christian spent to win a prize is $25 ⇒ A
Step-by-step explanation:
Let us solve the question
∵ The rule is On = Q1 + (n - 1)d
∵ A basketball game awards a prize if Christian can shoot a basket
∵ The charge is $5.00 for the first shot
→ That means the first amount is 5
∴ Q1 = 5
∵ Then $2.00 for each additional shot
→ That means the common difference is 2
∴ d = 2
∵ Christian needed 11 shots to win a prize
→ That means the number of shots is 11
∴ n = 11
→ Substitute the values of Q1, d, n in the rule above
∵ On = 5 + (11 - 1)(2)
∴ On = 5 + (10)(2)
∴ On = 5 + 20
∴ On = 25
∴ The total amount Christian spent to win a prize is $25
Shawna buys 2 1/2 gallons of paint. If she uses 1/3 of it on the first day, how much does she have left?
Answer:
2 and 1/2 = 2.5
2.5 divided by 3 = 0.83
0.83 x 2 = 1.66 or 1 and 2/3 gallons of paint left
Step-by-step explanation:
Hope this helps! Have a nice day!
find the sum or difference
(4y + 3) - (y -2)
Answer:
3y+5
Step-by-step explanation:
You will have to distribute the negative to (y-2).
4y+3-y+2
3y+5
Answer:
(4y + 3) - (y -2)
(4y + 3) - y + 2
3y + 3 + 2
3y + 5
2x^4=9x^2 solve by factoring
Step-by-step explanation:
2x⁴ = 9x²
2x⁴ - 9x² = 0
x²(2x² - 9) = 0
Either x² = 0 or 2x² - 9 = 0.
When x² = 0, x = 0.
When 2x² - 9 = 0, x² = 9/2, x = ± 3/√2.
Hence the solutions are
x = 0, x = 3/√2 and x = -3/√2.
Select all real fourth roots of 256.
Answer:
4
Step-by-step explanation:
[tex] \sqrt[4]{256} [/tex]
[tex] \sqrt[4]{4 \times 4 \times 4 \times 4} [/tex]
[tex] \sqrt[4]{ {4}^{4} } [/tex]
4
hope it's helpful ❤❤❤
THANK YOU
Can someone help me pleasee
Answer:
Multiply the radius by 2
Step-by-step explanation:
The diameter of a circle is 2times the radius of the circle. Do you know the radius? If so multiply that number by 2 and get the answer
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT
Is there a solution YES OR NO AND WHAT IS THE SOLUTION?
Answer:
I'm trying to figure it out but I'm confused on it I'm very sorry but maybe you can try desmos to help?
Answer:
Drawn below:)
Step-by-step explanation:
Red graph line is y=3x+1
Blue graph line is y=-x-3
Slope is 5, and (5,3) is on the line
The equation of the line is y=___
Answer:
y = 5x - 22
Step-by-step explanation:
In this question, we have to find the equation of the line.
We know that the slope is 5 and passes through (5, 3) on the graph.
We know that our equation must be in slope-intercept form: y = mx + b
To find our y-intercept, or "b", we would plug in our given information and solve for b.
Solve for b:
3 = 5(5) + b
3 = 25 + b
Subtract 25 from both sides.
-22 = b
This means that our y-intercept is -22. We can now make our equation with our new information:
y = 5x - 22
The equation of the line is y = 5x - 22
Ben is making a map in which each unit of the coordinate plane represents 1 mile. He places his house at the origin. The pizza shop is 4 miles south and 2 miles east of his house. The ice rink is 3 miles north and 5 miles west of the pizza shop. The hospital is 3 miles north of the ice rink. Which map shows each location in the correct place? A. B. C. D.
Answer:
the answer is b
Step-by-step explanation:
I took the test on EDG 2021
Solve the system by substitution:
y = -3x + 10
y=-3x + 4
Please show the steps!
Answer:
x=1, y=7
Step-by-step explanation:
y = -3x + 10 - first equation
y=-3x + 4 - second equation
rearrange the expression to
-3x-y= -10
3x-y= -4
pick an equation and simplify; lets pick the second equation
3x-y= -4
[tex]\frac{3x}{3} = \frac{-4+y}{3}[/tex]
divide 3 by both sides
x= [tex]\frac{-4+y}{3}[/tex] - third equation
substitute the value of x into an equation; lets pick the first equation
-3x-y= -10
-3[tex](\frac{-4+y}{3})[/tex]- y = -10
simplify. -3 cancels 3 so we are left with
-1(-4+y)-y = -10
simplify
4-y-y= -10
4-2y= -10
subtract 4 from both sides
-2y= -10-4
-2y= -14
divide -2 by both sides
y=7
substitute the value of y, (y=7) in an equation, we are using the second equation
3x-y= -4
3x-7= -4
3x = -4+7
3x= 3
divide 3 by both sides
x=1
so the answer is x=1, y=7
What is the slope of the line in the graph?
Answer:
m = 1/4 (the slope is 1/4)
I selected the points (0,1) and (4,2), but if you choose (-4,4) and (0,1), then your slope would be -3/4----------------------------------------------------------------------------------------------------
Explanation:
(0,1)
(4,2)
-------------------------------------------
0 +4 = 4 <-- x value
1 +1 = 2 <-- y value
As we know, [tex]m=\frac{y}{x}[/tex] , so it's going be [tex]\frac{1}{4}[/tex]
Your company offers two types of insurance plans:
.
Option A costs $20 per doctor visit.
• Option B requires you to pay a $250 deductible to activate
your coverage and $10 per visit.
10. Enter an equation that can be used to find the number of visits (v) needed for
the two plans to cost you the same amount.
find the value of :
Answer:
it will be equal to = 1/2 or
[tex]2 {}^{ - 1} [/tex]
Step-by-step explanation:
[tex]2 {}^{ - 1} \times 4 {}^{ - 1} \div 2 {}^{ - 2} [/tex]
[tex]\frac{1}{2} \times \frac{1}{4} \div \frac{1}{4} [/tex]
[tex] = \frac{1}{2} [/tex]
or
[tex] {2}^{ - 1} [/tex]
Can someone help with this?
Answer:
i wanna say -80?
Step-by-step explanation: so when you go from -8 to -11 its counts by 3 -11 to -14 its 3 so count up to get our answer. i just seen how many was in each 5 set which was 12 so i did -20 -12 so then i just added up and got -80
What is the measure of ZABC in the figure below?
Answer:
The angle is 90*
Step-by-step explanation:
Since B to D is 45*, we can double that angle to equal 90* because it shares line BD to ABC
A video game store has a 20% sale on all games. If a games original price is $32.00, what is the price of the item
after the discount?
Help asap
Answer:$25 bucks and 60 cents
Step-by-step explanation:
Please help please please ASAP
Answer:
x=45
Step-by-step explanation:
180-90= 90
90/2=45
omg am sooo sorry this is all i could do.
52= y + 42 90+ X + Y = 180
i rlly dont know am sorry
Jcieicnejfiejcnejfiejcnejdiejnxjejxnd
Answer:
lkwelfknsdv
Step-by-step explanation:
fkamgikrnmg
Answer:
y=-1x+4
Step-by-step explanation:
-1 is the slope and 4 is the y intercept
The circumcenter is the intersection point of the _______ bisectors of the sides of the triangle. Question 4 options: parallel perpendicular angle bisector
Answer:
Perpendicular
Step-by-step explanation:
What are the zeroes of the function?
Answer:
i think b
Step-by-step explanation:
Julien threw x number of pitches at baseball practice. Jacob threw 1/5 fewer than that
Answer:
ok so jacob threw 1/5 of x
Step-by-step explanation:
if you say julien threw x and jacob threw 1/5 of that than jacob threw 1/5 of x
Find the tan of E
PLEASE HURRY
Step-by-step explanation:
from the picture we got angle HFG is 45 degree.
let x is the length of HF
we got sin45=sqrt(8)/x
1/sqrt(2)=sqrt8/x
x=sqrt16
x=4
note that x is the length of HF
let y is the length of HE
use pythagorean theory
3^2+4^2=y^2
9+16=y^2
25=y^2
5=y
so tanE is x/y
tanE=4/5
The price of a new phone is $400.00 and the rate of sales tax is 7.6%
Answer:
$430.40
Step-by-step explanation:
7.6% of 400 = 0.076 × 400 = 30.4
The drawing below (not to scale) shows a running track. The ends are semicircles. The distance between the two inner parallel straight lines is 60 meters, and they are each 100 meters long. The track is 10 meters wide/
Answer:
4200 m²
Step-by-step explanation:
The drawing below (not to scale) shows a running track. The ends are semicircles. The distance between the two inner parallel straight lines is 60 meters, and they are each 100 meters long. The track is 10 meters wide. Find the area of the track. Shaded part
Solution:
The big semicircle has a diameter = 60 m + 10 m + 10 m = 80 m
The radius of the big semicircle = 80 m / 2 = 40 m
The area of the two big semicircles at both end of the big track = 2 * (1/2 πr²) = πr² = π(40)² = 5027 m²
The big track has semicircles at both ends and a rectangle. The length of the rectangle = 100 m, the width of the rectangle = diameter of big semicircle = 80 m
Area of big rectangle = length * width = 100 m * 80 m = 8000 m²
Area of big track = 8000 m² + 5027 m² = 13027 m²
The small semicircle has a diameter = 60 m
The radius of the small semicircle = 60 m / 2 = 30 m
The area of the two small semicircles at both end of the small track = 2 * (1/2 πr²) = πr² = π(30)² = 2827 m²
The small track has semicircles at both ends and a rectangle. The length of the rectangle = 100 m, the width of the rectangle = diameter of small semicircle = 60 m
Area of small rectangle = length * width = 100 m * 60 m = 6000 m²
Area of small track = 6000 m² + 2827 m² = 8827 m²
The area of track (shaded part) = Area of big track - Area of small track = 13027 m² - 8827 m² = 4200 m²
how to do this ?? help
Answer:
45 cm²
Step-by-step explanation:
The area of the shaded region is calculated as
area of outer triangle - area of inner triangle
area of outer = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then
A = [tex]\frac{1}{2}[/tex] × 15 × 10 = 75 cm²
area of inner = [tex]\frac{1}{2}[/tex] × 12 × 5 = 30 cm²
Thus
area of shaded region = 75 - 30 = 45 cm²
are these lines in the figure parallel, perpendicular, or neither?
Answer:
Perpendicular
Step-by-step explanation:
Khan