Answers
g(-1) = -1, g(2) + g(1) = 7
Step-by-step explanation:
Given: g(x) = x³ + x² - x - 2
g(-1) ==> x = -1
g(-1) = (-1)³ + (-1)² - (-1) - 2
g(-1) = -1 + 1 + 1 - 2
g(-1) = -1
g(2) ==> x = 2
g(2) = (2)³ + (2)² - (2) - 2
g(2) = 8 + 4 - 2 - 2
g(2) = 8
g(1) ==> x = 1
g(1) = (1)³ + (1)² - (1) - 2
g(1) = 1 + 1 - 1 - 2
g(1) = -1
g(2) + g(1) = 8 + (-1) = 7
Related Questions
Solve x^2 -6x=-5 by completing the square. Show all work for the steps below. (a) For x^2 -6x+c+-5+c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x
Answers
To complete the square we are going to rewrite the equation to a quadratic equation in the form:
ax² + bx + c
To do this we are going to transpose.
x² - 6x = -5
x² - 6x + 5 = 0
Now we are going to rewrite the new equation in the form
a(x + h)² + k
Where a = 1
h = 6x
k = 5
1(x² - 6x) + 5 = 0
1(x² - 6x/2 + 3²) + 5 = 0, to find h, divide it by 2 then square the quotient and add it to the equation.
1(x² - 3x + 9) + 5 - 9 = 0, to find k, subtract the square rooted quotient after multiplying it by a.
1(x - 3)²- 4 = 0
Now we solve.
1(x - 3)² - 4 = 0
1(x - 3)² = 4
±√1(x - 3)² = ±√4
(x - 3) = √4 or (x - 3) = -√4
x = 5 or x = 1
Find the angle of depression
from point A to point C.
?
66°
5 mi
B
Angle of depression = [ ? ]
Answers
Given:
In triangle ABC, [tex]m\angle A=66^\circ, AB=5\text{ mi}[/tex].
To find:
The angle of depression from point A to point C.
Solution:
According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]66^\circ+90^\circ+m\angle C=180^\circ[/tex]
[tex]156^\circ+m\angle C=180^\circ[/tex]
[tex]m\angle C=180^\circ-156^\circ[/tex]
[tex]m\angle C=24^\circ[/tex]
We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.
Therefore, the angle of depression is 24 degrees.
How can I describe an angle's measure?
Answers
Solve the problem 35×2/7=
Answers
35 × 2/7 =
2 × 35 / 7 =
2 × 5 × 7 / 7 =
Simplify 7
2 × 5 =
10
Write an equation of the line with a slope of 2/3
and -8
Answers
I assume the -8 was the y intercept?
Solve 8 = 2x + 4.
Helppppppp
Answers
Answer:
x = -1
Step-by-step explanation:
8 = 2^(x + 4)
Rewriting 8 as 2^3
2^3 = 2^(x + 4)
Since the bases are the same, the exponents must be the same
3 = x+4
Subtract 4 from each side
3-4 =x+4-4
-1 =x
Answer:
This is the answer :
x=–1
Choose (B)
In November, the rain in a certain valley tends to fall in storms of several days duration. The unconditional probability of rain on any day of the month is 0.600. But the probability of rain on a day that follows a rainy day is 0.900, and the probability of rain on a day following a nonrainy day is 0.300. Find the probability of rain on November 1 and 2. but not on November 3. Find the probability of rain on November 1 and 2, but not on November 3.
Answers
Answer:
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
Step-by-step explanation:
Rain on November 1:
0.9 of 0.6(rain on Oct 31).
0.3 of 0.4(not rain on Oct 31).
Rain on November 2:
Considering rain on November 1, 0.9 probability of rain.
Rain on November 3:
Considering rain on November 2, 0.1 probability of rain.
Find the probability of rain on November 1 and 2, but not on November 3.
Multiplicating the probabilities:
[tex]p = (0.9*0.6+0.3*0.4)*0.9*0.1 = 0.0594[/tex]
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
Find the surface area of the regular pyramid.
Answers
Answer:
D
Step-by-step explanation:
It helps to break the pyramid into shapes
triangles: ((b x h) ÷ 2) x 5
((4 x 8) ÷ 2) x 5= 80in
base: 27.5in
total sa: 27.5 + 80 = 107.5in
What is the distance of -55 from zero?
Answers
Answer:
55
Step-by-step explanation:
The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.
Suppose that there is a positive correlation between the variables k and I. If I
is 75 when k is 7, which of these is most likely to be the value of I when k is
14.
O A. 75
O B. 25
C. 50
D. 150
Answers
Answer:
150
Step-by-step explanation:
if there is a positive correlation
when k increases l should also increase
only 150 is an increase in l
Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, in miles per hour
Answers
Answer: answer is A
A:3/32
B:2/3
C: 1 1/2
D:4
Sketch the area under the standard normal curve over the indicated interval and find the specified area.
a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48
Answers
Answer:
a) The area of the right of z=0 is P(z >0) =0.5.
b) The area of the left of z=0 is P(z < 0) =0.5.
c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.
d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.
Step-by-step explanation:
Here are the graphs respectively.
If the triangles are similar which are true
Answers
Answer:
b
Step-by-step explanation:
5a. A salad bar has five kinds of salad. In how many different ways can you choose two different salads from five?
5b. Which has more different ways :
Choosing two out of five OR
choosing three our of five?
Answers
Answer:
a) 10 salads
b) 5 Choose 2 and 5 Choose 3 result in the same amount
Step-by-step explanation:
a) ₅C₂ = 5! / (5-2)! 2!
= 5! / 3! 2!
= (5 × 4) / 2
= 10 salads
b) ₅C₃ = 5! / (5-3)! 3!
= 5! / 2! 3!
= (5 × 4) / 2
= 10
If the dimensions of a room is 20m long, 8m wide
and 5m high. Find the volume of air contained on room.
Answers
Answer:
The volume of air contained on room is 800m^2
Step-by-step explanation:
20x8x5=800m^2
Thankssssssss smmmmmmm
Answers
9514 1404 393
Answer:
46
Step-by-step explanation:
The length of base CD is twice the length of midsegment FG, so you can write the equation ...
CD = 2×FG
-3x +52 = 2(13 +5x)
52 = 26 +13x . . . . . . . . add 3x, simplify
26 = 13x . . . . . . . . . subtract 26
2 = x . . . . . . . . . . divide by 13
Then the measure of CD is ...
CD = -3x +52 = -3(2) +52 = -6 +52
CD = 46
Answer the questions about the following polynomial.
-10x +1
Answers
Answer:
Step-by-step explanation:
Given polynomial is (-10x + 1).
This polynomial has two terms.
Therefore, it's a binomial with two separate terms.
The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).
PLEASE ANSWER FAST
A-1 Equipment Rental Company charges $195 per day to rent a backhoe. The rental cost at A-1 can be represented by the function a(x) 195x, where x is the number of days the backhoe is rented. A competitor charges $150 per day plus an extra $90 fee. The cost at the competitor can be represented by the function c(x) 150x 90, where x is the number of days the backhoe is rented. Describe the transformation from the graph of a to the graph of c.
a. vertical shrink by 10/13 and then a vertical translation 90 units down
b. vertical stretch by 10/13and then a vertical translation 90 units up
c. horizontal stretch by 13/10and then a vertical translation 90 units up
d. vertical shrink by 10/13and then a vertical translation 90 units up
Answers
Answer:
cccccccccccccccccccc
Beezlebum's Toy Store can't keep their stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?
Write your answer as a whole number or decimal. Do not round.
Answers
9514 1404 393
Answer:
96
Step-by-step explanation:
In terms of blocks, the box dimensions are ...
(14 in)/(3.5 in/block) = 4 blocks
(21 in)/(3.5 in/block) = 6 blocks
Then the volume in terms of blocks is ...
V = LWH
V = (4)(4)(6) = 96 . . . . blocks
There are 96 blocks in the set.
What is the total distance that two people travel in 2 h if one of them is riding a bike at 20 mi/h and the other is walking at 3 mi/h?
Answers
Answer:
46 miles
Step-by-step explanation:
First, find the distance traveled by the person riding at 20 mph.
Multiply 20 by 2:
20(2)
= 40 miles
Find the distance traveled by the person riding at 3 mph.
Multiply 3 by 2:
3(2)
= 6 miles
Add these distances together:
40 + 6
= 46
So, the total distance is 46 miles
Answer:
46 miles
Step-by-step explanation:
Assuming both travel at a constant rate of miles per hour.
Time allowed: 2 hours.
Biker: 20 miles/hr, or (20 x 2) miles/ (2 x 1) hrs. = 40 miles/ 2 hours
Walker: 3 miles/hr or (3 x 2) miles/(2 x 1) hrs. = 6 miles/2 hours.
You are finding the total distance traveled together, and so add the two miles together:
40 + 6 = 46
46 miles in 2 hours is your answer.
~
What is the coefficient for the variable d
Answers
Can y’all help me on question 22?!
Answers
Answer:
245 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is length times width times height.
So in this case we would do, 8 * 2.5 * 12.25 to get 245. So your answer would be 245 cubic inches.
*side note*: 2 1/2 is the same thing as 2.5 and 12 1/4 is the same thing as 12.25
Drag each value to the correct location on the equation. Each value can be used more than once, but not all values will be used.
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
Answers
Answer:
(xou)2
Step-by-step explanation:
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!
Answers
Answer:
0 and 1
Step-by-step explanation:
The solutions are the points of intersection, meaning that the x values must meet at those points. x=0 and x=1 meet at those points of intersection.
Jessica earned $16 mowing a neighbor’s yard. She bought a craft kit for $7.37.
She used $3.75 to buy food for a food drive. She put the rest in her savings account.
How much money did Jessica put in her savings account?
Answers
Answer:
Jessica put $4.88 into her savings account.
Step-by-step explanation:
First, you'll add up how kuch she has spent.
7.37 + 3.75 = 11.12
Secondly, you'll subtract 11.12 from 16.
16 - 11.12 = 4.88
Which expression could be used to find the volume of the prism shown below? A rectangular prism with length of 11, height of 5, and width of 8. (11 times 8) times 5 (11 + 8) times 5 (11 times 8) + 5 (11 + 5) times 8 Mark this and retu
Answers
Answer:
(11 x 8) x 5
Step-by-step explanation:
We find volumes of rectangular prims by multiplying the length by the width to get the area of a said prism, and multiplying the area by the height in order to get the volume.
Answer:
A
Step-by-step explanation:
I’ll give brainliest
Answers
OPTION A
y= 3x+6
This equation satisfies for all the value given in the table.
For (0,6)
y = 3(0)+6 = 6
For (2,12)
y=3(2) +6 = 6+6= 12
And so on.
Determine the value of x
Answers
Answer:
B is the answer.
Step-by-step explanation:
Below are two parallel lines with a third line intersecting them
Answers
Answer:
hey, there is no attached photo. so I don't know how to help
Given circle R , arc BA = 35 and arc DE= 43 what is angle BCA equal to?