Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
Step-by-step explanation:
The true statements about the functions f(x) and g(x) are (a), (c) and (d)
How to determine the true statement?The functions are given as:
h(x) = x + 1
j(x) = 3x - 6
From the question, we have:
h(x) = f(x) + g(x)
j(x) = f(x) * g(x)
Expand the function j(x)
j(x) = f(x) * g(x) = 3 * (x - 2)
By comparison, we have:
f(x) = 3
g(x) = x - 2
f(x) + g(x) = 3 + x - 2
f(x) + g(x) = x + 1
This gives
h(x) = x + 1
By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:
Both functions are linear functionsThe rates of change of the functions are less than 3The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.Hence, the true statements are (a), (c) and (d)
Read more about linear functions at:
https://brainly.com/question/4025726
How much interest would a bond (1,000 shares) of RMx pay each year?
Bond Cur Yield Vol Close Net Chg
MBIA 7 25 8.3 8 87 +1
SDGE 4 40 4.8 75 93.875 -2
UPS 8 20 6.2 10 134.875 +3
RMx 14 13 13.2 5 106 -3
Travelport 11 16 12.4 945 95.50 +1
JCPenney 7 97 8.1 100 94.50 -2
DeerParkISD 4 29 4.4 25 104.86 -1
A. $132
B. $14.00
C. $106
D. $13.20
E. $140
Answer:
a and e
Step-by-step explanation:
Solve the equation for all values of x by completing the square.
3x^2-60x+255=0
Answer:
x=5 and x=15
Step-by-step explanation:
3x^2-60x+225=0
3x^2-60x+225/3=0/3
x^2-20x+75=0
x^2-5x-15x+75=0
x(x-5)-15(x-5)=0
(x-5)(x-15)=0
x-5=0 x-15=0
x=5 x=15
Classify the shape below,
6 mm
6 mm
1. kite
II. parallelogram
III. rectangle
IV, rhombus
V. square
6 mm
6 mm
note: not drawn to scale
A. III, IV, and V
B. II, IV, and V
C. ll and I
D. IV onl
Answer:
v
Step-by-step explanation:
it has two equal sides of 6 and thats all you need
What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?
52.5 in2
21 in2
105in2
10.5 in2
Answer:
its 52.5. I just did it on edge
Step-by-step explanation:
The area of the regular polygon is 52.5 in².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the regular pentagon, we use the formula below.
Formula:
A = anL/2............ Equation 1Where:
A = Area of the regular polygona = Length of apothem of the polygonn = Number of sides of each polygonL = Length of sides of each polygonFrom the question,
Given:
a = 4.2 inchesL = 5 inchesn = 5 (pentagon)Substitute these values into equation 1
A = 5×4.2×5/2A = 52.5 in²Hence, the area of the regular polygon is 52.5 in².
Learn more about area of regular polygon here: https://brainly.com/question/8409681
The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
O y=-2x+12
O y=-2x+8
O y=-2x-7
y=-2x-3
Answer:
y=-2x+8
Step-by-step explanation:
When consider coordinate (5, -2)
y=-2x+8
When x=5
y= -2 x 5 + 8 = -2
Therefore the answer is y=-2x+8
I need to find x in the angle
Answer:
88
Step-by-step explanation:
you do 120-32
Answer:
x = 58 degrees
Step-by-step explanation:
angle x and the 32 degree angle add up to 90 degrees.
so 90 - 32 = 58 degrees
Jillian read for 120 minutes. Sarah read for 180 minutes. Lexie said that Sarah read for 60 minutes more than Jillian.
What is the factored form of 8x^24-27
Answer: 4.722
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the volume of a the rectangular pyramid shown below?
Answer:
The answer would be 168 cubic in.
Step-by-step explanation:
So what you want to do is do length X width X height the divide that by 3
I put a link in to help but i cant right with a mouse so sorry if it is bad.
What creatures terrify Aeneas as he enters the realm of the dead?
Answer:
The sibyl tells Aeneas that he must find and pluck a golden bough from a tree in an ... First, however, he must find and bury the body of a dead comrade. ... spirits and monsters and eventually reach Acheron, one of the underworld's rivers. Here ... Also punished in Tartarus's realm are mortals who have sinned abhorrently
Step-by-step explanation:
what’s 10% of 120 please answer
Answer: this is the answer ---> 12 :)
Step-by-step explanation:
12
this is the correct answer
PLZZZ HELP ME I NEED HELP AND I HAVE A TIMER AND I WILL GIVE YOU BRAINLEST
On a coordinate plane, 2 lines intersect around (3.8, negative 1.5).
Given the graph of a system of equations, which statements are true about the solution? Check all that apply.
The x-value is an integer.
The x-value is between 3 and 4.
The y-value is between –2 and –1.
The x-value is positive.
The x- and y-values have the same sign
Answer:
b,c,d
Step-by-step explanation:
I just did the assignment
Answer:
b, c. d
Step-by-step explanation:
Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point. Find five letters that have rotational symmetry. Draw each letter showing the point of symmetry
Answer:
N I OS H
Step-by-step explanation:
WITH A POINT IN THE MIDDLE OF EACH LETTER. EX- IN THE MIDDLE FO O
A P E X
Plz answer i will mark u brainiest
Answer:
1st is in II quadrant
2nd one is in IV quadrant
3rd one is on y axis as x = 0
Please help me solve this by today I'm in a hurry
Answer:
The 3rd one
Step-by-step explanation:
The data below shows numbers of hours mes Díaz volunteered at the library each month for eight months. 20,12,27,23,18,20,30,26. the mean of the data is 22 hours. What is the mean absolute deviation of the data?
Answer:
help :(
Step-by-step explanation:
Answer:4.5
Step-by-step explanation:
What must be the length of XY if triangle ABC is
similar to triangle XYZ?
a. 8
b. 10
c. 12.8
d. 20
Answer:
x=12.8
Step-by-step explanation:
xy / 8 = 16 /10
xy = (8 * 16) / 10
xy = 12.8
AB
Round your answer to the nearest hundredth.
С
50°
6
?
B
Answer:
AB ≈ 7.83
Step-by-step explanation:
Using the sine ratio in the right triangle
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB }[/tex] = [tex]\frac{6}{AB}[/tex]
Multiply both sides by AB
AB × sin50° = 6 ( divide both sides by sin50° )
AB = [tex]\frac{6}{sin50}[/tex] ≈ 7.83 ( to the nearest hundredth )
Model 4 + (-6) on the number line.
-4
-5
-6
--10-9
-8
3
- 2
1
--7
0
4
7
1
2
5
3
6
9
8
10
Answer:
The answer is -2
Step-by-step explanation:
start at 4 and go to the left six times
4+(-6)=4-6=-2
Which is the angle measure represented by 2 rotations counterclockwise?
a. -1080°
C. 1080°
b. -720°
d. 720°
What are the answers
Answer:
1. D
2. D
3.B
4. there's no picture there
5. C
6. A
7. B
8. C
9. C
10. C
Step-by-step explanation:
Hope this helps :)
HELP
What is the longest line segment that can be drawn in a right rectangular prism that is 15cm long, 8 cm wide, and 7 cm talk
Answer:
=18.38cm
Step-by-step explanation:
The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .
Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.
We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,
so we have,
[tex]AC^2 = AB^2+BC^2=8^2+7^2=113[/tex]
Now we can resume where we stopped with triangle AGC, and we have
[tex]AG=\sqrt{AC^2+CG^2}=\sqrt{113+225}=\sqrt{338}[/tex]
=18.38cm
Which statements are true regarding the system of equations? Check all that apply. 8 x + 10 y = 30. 12 x + 15 y = 60.
Answer:
Step-by-step explanation:
8x + 10y = 30
12x + 15y = 60
-24x - 30y = -90
24x + 45y = 120
15y = 30
y = 2
8x + 20 = 30
8x = 10
x = 10/8
x = 5/4
(5/4, 2)
Which is a solution for the equation 2x - 3 = 33?
O n = 12
On = 13
On = 18
On = 19
Answer:
x = 18 hope this helps
(33+3=36)
(36÷2=18)
Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth. the radius is 1
Answer:
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
The radius is 1
Volume = [tex]\frac{4}{3} \pi[/tex] or 4.19
Step-by-step explanation:
Given
Radius, r = 1
Required
Find the volume of sphere
Volume of a sphere is calculated using the following formula
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Where V = Volume and r = radius
By Substitution,
[tex]V = \frac{4}{3} \pi * 1^{3}\\\\V = \frac{4}{3} \pi * 1\\\\V = \frac{4}{3} \pi[/tex]
Solving further to get the numerical value of volume;
We have to substitute 3.14 for π
[tex]V = \frac{4}{3} * 3.14V = 4.1866[/tex]
V = 4.19 to the nearest hundredth
Answer:
4.19
Step-by-step explanation:
Cindy has 6 pounds of candy. She wants to give each of her friends 1/3 pound. To how many friends can Cindy give 1/3 pound of candy?
Answer:
18
Step-by-step explanation:
In order to solve this problem just divide 1/3 from 6. Multiply the reciprocals to get 6 times 3, which equals 18. This means that she can give 18 friends 1/3 pound of candy.
Hope this helps and stay safe !
Answer: 18 friends each get 1/3 pound of candy.
Step-by-step explanation: 6 ÷ 1/3 can be solved by inverting the divisor and multiplying. So it becomes 6 × 3 = 18
Complete 4,5,6 for 25 points.
Answer:
Step-by-step explanation:
4. A = P + Prt
a. Solve for r
Prt = P - A
r = (P - A)/Pt
b. Solve for t
Prt = P - A
t = (P - A)/Pr
5. Ax + By = C
a. By = C - Ax
y = (C - Ax)/B
b. Ax = C - By
x = (C - By)/A
6. y = mx + b
a. mx + b = y
mx = y - b
x = (y - b)/m
b. mx + b = y
mx = y - b
m= (y - b)/x
c. mx + b = y
b = y - mx
Problem PageQuestion
Pamela's age is two times Jiri's age. The sum of their ages is 66. What is Jiri's age?
Answer:
Jiri is 22
Pamela is 44
Step-by-step explanation:
Look at the attachment
Answer:
Jiri is 22 years old.
Step-by-step explanation:
P=2J
P+J=66
2J+J=66
3J=66
J=22
7. The distance between point (–4, 5) and another point is 10. What are the possible
coordinates of the other point?
A (2, 2)
B (2, 3)
C (2, –3)
D (–2, –3)
Answer:
D (-2, -3)
Step-by-step explanation: The distance is 10 units, so you take -4 (x) and go over 2 spaces so your at x = -2, and 2 units are down, 8 more to go. Then for (y) you do 5-8 and get -3 so now y = -3 . Now you have moved 10 spaces because 2 + 8 = 10 spaces, and are left at D (-2, -3).
Rachael is placing a protective cover on a glass case. The case is a cube and the perimeter of one face of the cube is 56 inches. How many square inches of the protective covering does she need for the case?
Answer:
to cover this cube she needs at least 1,176 square inches of protective covering.
Step-by-step explanation:
The surface area of a cube is given by the following formula:
surface area cube = 6*l²
While the perimeter of each face of the cube is:
perimeter face = 4*l
Where l is the length of each side of the cube. Applying the data from the problem we have:
56 = 4*l
l = 56/4= 14 inches
surface area cube = 6*(14)²
surface area cube = 6*(196)
surface area cube = 1,176 square inches.
Therefore to cover this cube she needs at least 1,176 square inches of protective covering.
