Given that f(x) = x² + 5x, evaluate f(-2).If g(x)=2x + 1, find g(a + h)- g(a).
[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]
[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]
[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]
[tex]\\ \sf\longmapsto f(-2)=-6[/tex]
.#2
[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]
[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]
[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]
.Now
[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]
[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2h[/tex]
let f(x)=5x+5 find f(-1)
I need your help with this. please help me
[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]
8 is 16% of (blank) please help (:
Answer:
50
Step-by-step explanation:
8% of 100 is 8 now divide 100 by 2 since it is 16% and it is 8
Calculate the measure of the arc PQ.
Answer:
arc PQ = 124°
Step-by-step explanation:
The inscribed angle PRQ is half the measure of its intercepted arc PQ, so
arc PQ = 2 × 62° = 124°
Answer:
124°
Step-by-step explanation:
Inscribed angle PRQ is half the measure of intercepted arc PQ.
1/2(PQ) = 62°
PQ = 124° . . . . . . multiply by 2
The angle of elevation to a nearby tree from a point on the ground is measured to be
73°. How tall is the tree if the point on the ground is 28 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.
Answer:91.6
Step-by-step explanation:
The height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.
The angle of elevation is given 73°. The distance between the point on the ground and the tree is 28 feet.
What is a trigonometric function?In mathematics, the trigonometric function is a function that deals with the sides of the right-angled triangle and angles.
sin, cos, tan, cosec, sec, and cot are the basic function of trigonometric.
We know that tan Ф = perpendicular / Base
tan 73° = h / 28
tan 73° × 28 = h
3.27 × 28 =h
h = 91.5 ft
Therefore, the height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.
Learn more about a trigonometric function;
brainly.com/question/6904750
Emma and her 3 friends were thirsty so she shared 1/2 gallon of lemonade equally among 4 people. How much did each purdon get
1/8
1/4
1/2
4
Answer:
1/4
Step-by-step explanation:
its kinda hard to
explain
Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?
Answer:
a box of 10 balls for $9?
Step-by-step explanation:
because u buy 10 tennis balls for 9 dollars and the first one is not true
becuase u buy 3 balls of tennis with 3 dollars and the last answer is right
becuase you buy 10 balls for 9 that means its 1 dollar less for 10 balls
hope it helps
What is the range of this graph?
Answer:
I think the answer is (-3,1)
Solve using elimination 5x+7y=9
2x-3y=-37
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8
pleaseeee help??????
y=-4(5)x for x=2 Evaluate the problem
Answer:
y = - 100
Step-by-step explanation:
Assuming you mean
y = - 4[tex](5)^{x}[/tex] ← substitute x = 2
y = - 4[tex](5)^{2}[/tex] = - 4 × 25 = - 100
the system of equations are y=-2x=3 and y=x is graphed what is the soultions to the system of equations
Answer:
y=1
Step-by-step explanation:
Answer:
x=-1, y=-1
Step-by-step explanation:
Because -2x-3 and x are both equal to y, we set them equal to each other and solve for x:
-2x-3=x
-3=3x
-1=x
x=-1
So, because y=x, then y=-1 as well
63 divided by 16,128 plss help it’s due wensday!!!!
Answer:
256 , or 0.00390625
Step-by-step explanation:
please helpppppppppp
Answer:
the ANSWER IS D
Step-by-step explanation:
because its multiplication
Which of the following is statement is TRUE about mixed numbers?
A. A whole number and an improper fraction.
B. A whole number and a mixed forms.
C. A whole number and a proper fraction.
D. A whole number, remainder and similar fraction
I need the function for the volume of the box for number 1
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
Which table represents a linear function?
Answer:
it's the last one in the lower right corner.
original price of a cd is 12.50. what is the price with a discount of 39%
Answer:
original price of a cd is 12.50. what is the price with a discount of 39%
Step-by-step explanation:
..................................
Answer: 35 dots
Step-by-step explanation:
Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.
Answer:
the BIG B (big base) is 2(5*6)*½ which is 30.
the bottom is 8*5 which is 40.
the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.
30+40+104=174 SQUARE FEET
30% of the parks have a pool. If there are 9 parks with pools, how many parks are there altogether?
Answer:
30 parks
Step-by-step explanation:
9÷0.3=30 parks
If EF = 2x + 5 and FG = x + 9, what is EF?
Answer:
2- × 5
Step-by-step explanation:
please help i dont want to fail final exam
Determine the linear equation modeled by the graph.
Answer:
liner equation
Step-by-step explanation:
do nothing
Michaels test scores for this semester were 83,80,91,74,66,99,87,72,95,98. What was the median of his scores
Answer:
85
Step-by-step explanation:
Write the numbers in order
66, 72, 74, 80, 83, 87, 91, 95, 98, 99
Find the middle number
83 and 87 are in the middle, so find the mean of them. 83+87= 170
170/2 = 85.
Answer:
I added a little extra in case! Mark me brainleast
Step-by-step explanation:
Mean 84.5
Median 85
Mode 83, 80, 91, 74, 66, 99, 87, 72, 95, 98.
Range 33
Minimum 66
Maximum 99
what is 1/4+3/8+1/2+5/8+3/4+7/8+1+1 1/4
Answer:
5.625 which is 5 5/8.
Step-by-step explanation:
if p =5 q =3 find the value of 9p2²- 5q²
Answer:
Answer is in the attached file.
Please help me with this
Answer:
y = 2x
Step-by-step explanation:
A direct proportion follows the equation:
y = kx,'where k is the slope.
We see in the graph the points (0, 0) and (1, 2).
The slope is (2 - 0)/(1 - 0) = 2/1 = 2
The formula is y = 2x.
Answer: y = 2x
Answer:
y=2x
Step-by-step explanation:
When using slope intercept find the slope using either the graph or points on the line and that get you the 2 that in front of x.
the formula means that 2 units of dough are prepared in every hour
Find the solution set for 15 + 6y > 0, y ∈ . Represent the solution set on the number
line.
Step-by-step explanation:
6y>0-15 collect like term
6y=-15 calculate the difference
y=-15/6 convert to lowest form
y=-5/2
i hop it helps you ❤
It takes Steve 13 minutes to get to work every morning. Steve spends 48% of the time stuck in traffic on the drive. How many minutes does Steve spend stuck in traffic?
Answer:
6.24
Step-by-step explanation:
13 * .48
Which situation is NOT a linear function?
A. A video subscription service which charges $7.99 a month
B. A factory worker that gets paid $19 an hour
C. A $350,000 house that depreciates 4% per year
D. A gym membership that charges $7 when joining, and $12 a month
Answer:
C
Step-by-step explanation:
If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.