Answers
Answer:
Answer is 13x⁴ - x³ - 9x²( the last option)
Step-by-step explanation:
f(x) = 8x⁴ - x³ - 4x²
g(x) = -5x⁴ + 5x²
so,
f(x) - g(x)
=(substituting the value)
= (8x⁴ - x³ - 4x²) - (-5x⁴ + 5x²)
= 8x⁴ - x³ - 4x² + 5x⁴ - 5x²
= 8x⁴ + 5x⁴ - x³ - 4x² - 5x²
= 13x⁴ - x³ - 9x²
Answer:
The 4th option would be correct.
Step-by-step explanation:
No complex calculations are needed. Just pay attention to what the problem is asking for. Notice that f(x) is positive while g(x) is negative. So instead of adding, you're subtracting.
Now look at the last coefficients in each function. Notice that they're the same term, since both of their variables are x^2. Since we're subtracting, that 5x^2 in function g is actually going to be negative. This is why the answer would be the last option, since it's the only one that shows that -4x^2 and -5x^2 is being combined.
Also, at the start, I said no complex calculations are needed. This is because the problem didn't say 'Show your work' or something along those lines. Only do it if it asks, or if your teacher does.
Related Questions
What is 22% of 60?
A) 1,320
B) 13.2
C) 27.3
D) 38
Answers
Answer:
B, 13.2
Step-by-step explanation:
Multiply 60 by 0.22 for your answer and you get 13.2
A triangle has sides represented by 9, x, and x + 2. If the
perimeter is 35, find the length of the longest side.
Answers
Answer:
14.
Step-by-step explanation:
1) if the sides of the given triangle are 'a'=9, 'b'=x and 'c'=x+2, then its perimeter can be written as: P=a+b+c or P=9+x+x+2;
2) if according to the condition P=35, then 9+x+x+2=35;
2x=24; ⇒ x=12;
3) if x=12, then a=9; b=12 and 14;
4) finally, c=14 - the required longest side.
5. Put the decimals in order from least to greatest. 1.23, 1.023, 1.203, 1.032
Answers
Answer:
1.023,1.032,1.203, and 1.23
Step-by-step explanation:
Aura built a scale model of a building using a scale in which 4 inches represents 60 feet. The height of the building is 420 feet.
What is the height of the scale model in inches?
Answers
Answer:
28 inches
Step-by-step explanation:
We're told that each 60 ft is represented by 4 inches of model. 420 feet is 7 times 60 feet, so the model will be 7 times 4 inches.
The height of the scale model is 28 inches.
What is the slope of a line that passes through (2, 4) and (3, 8)
Answers
If 7 out of 25 students have a pet, what percent of the class has a pet?
Answers
Answer:
28%
Step-by-step explanation:
(25%-7%)×4
100%-28%
f(x)= 2/(x+3) find domain
Answers
Answer:
x < -3 or x > -3
PLEASE HELP ILL DO THE SAME PLEASE AND I NEED STEP BY STEP IM TRYING TO LEARN :(
Answers
Answer:
5)
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
6)
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
See below
Step-by-step explanation:
To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.
5)
The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.
It's pretty hard to read that top graph in the photo, but I think I see these ones marked:
Line 1: (0, 3) and (3, 0)
Line 2: (0, -3) and (2, 3)
Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.
Divide the change in y by the change in x:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1[/tex]
The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.
Now for line 2:
[tex]m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3[/tex]
When x increases by 1, y increases by 3.
The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.
Line 1: 3
Line 2: -3
Now, you can write the equations for these lines in slope intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept we found above.
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
In line 1, -1x can be simplified to just -x.
6)
I'll do the exact same process here, but with less explaining. Let me know if you have any questions.
Find 2 points:
Line 1: (0, -2) and (4, 0)
Line 2: (0, 6) and (4, -4)
Find the slope of line 1:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}[/tex]
and line 2:
[tex]m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}[/tex]
Now, the y-intercepts:
Line 1: -2
Line 2: 6
Write the equations:
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.
Example:
[tex]y=2x+1\\y=2x+2[/tex]
Those both have a slope of 2, and if you graph them, you'll see that they never intersect.
A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.
Example:
[tex]y=2x+1\\y=2x+1[/tex]
That's what they are, graph them however you like.
A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
A) 3cm
B)7.5
C) 15cm
D) 18.5cm
Answers
Answer:
C) 15 cm is the best estimate.
Step-by-step explanation:
The exact answer is not there, so 15 is the best estimate.
You can use this equation to help you:
d=C/π
Where d is the diameter.
C is the circumference.
And the last one is Pi.
You know that C = 45, so divide that by Pi (3.14).
45/3.14159 = 14.32
The closest answer is 15.
Hope this helps! Have a great day!
Answer:
The best estimate of the circle's diameter is 15cm.Step-by-step explanation:
Circumference = 2πr = 45cm=> 2 x π x r = 45 cm=> 2 x 22/7 x r = 45 cm=> 44/7 x r = 45=> 44r/7 = 45=> 44r = 315=> r = 7.16 (Rounded)=> Dia. = 7.16 x 2=> Dia. = 14.32=> Dia. ≈ 15 cmConclusion:
Therefore, the best estimate of the circle's diameter is 15cm.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
A function is defined as k(x)=2x^2 - 5x + 3 The value of k(-3) is
Answers
Answer:
36
Step-by-step explanation:
k(-3) = 2(-3)² - 5(-3) + 3
= 18 - (-15) + 3
= 33 + 3
= 36
What is the volume of 4 19 31 10 62
Answers
Answer: 1460720
To find volume just multiply them all-
4*19*31*10*62
1460720 ( i am not sure if those are the numbers you meant)
Which of the following are solutions to the equation below?
Check all that apply.
(5x + 1)2 = 7
O A. x =
7-1
5
B. X=--
V6
5
O c. x=
x=
- 1
D. x=
67| ఈ
E. X=
-7
-1
5
OF. x=
-V7-1
5
Answers
Which is NOT a line of symmetry?
1
2
3
4
5
Answers
Answer:
Line 3 is the only one that is not a line of symmetry.
Y=-2(x+1)(x+3) convert the function into standard form
Answers
−2x^2−8x−6
Expand (−2x-2)(x+3) using the FOIL Method.−2x⋅x−2x⋅3−2x−2⋅3
Find the range for the measure of the third side of a triangle given the measures of two sides.
18 ft and 23 ft
Answers
The range for the measure of the third side of the triangle is (5, 38).
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
Two sides of the triangle are 18 ft and 23 ft.
Let the third side of the triangle is x cm.
Since, the third side is greater than the difference of the remaining sides and less than the sum of the two sides.
Implies that,
23 - 18 < x < 23 + 18
5 < x < 38
The range of the third side varies from (5, 38).
To know more about Triangle on:
https://brainly.com/question/2773823
#SPJ2
Use the equation 4.9x-1.9=27.5
What two properties of equality do you need to use to solve the equation?
Answers
The two properties of equality that is needed to solve for the equation are addition property of equality and division property of equality.
help ita due in 5 mins
Trapezoid GHIJ is located in the coordinate plane at points
G(0,0),H(−1,2),I(3,2),and J(2,0).
Three transformation scenarios are described.
1. Reflect GHIJ in the x-axis and then reflect that image in the y-axis.
2. Rotate GHIJ 90º counterclockwise about the origin and then translate that image 2 units up.
3. Dilate GHIJ by a scale factor of
1
2
centered about the origin and then translate that image 2 units to the left.
Which transformation(s) produce an image that is congruent to the given figure?
Number 1 only
Number 1 only
Numbers 1 and 2
Numbers 1 and 2
Numbers 2 and 3
Numbers 2 and 3
Numbers 1, 2, and 3
Numbers 1, 2, and 3
Answers
A rigid transformation is one in which the distance between pairs of points
are preserved, and the image and preimage have the same dimensions.
The transformations that will produce an image that is congruent to the given figure is; Number 1 and 2.Reasons:
The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)
The given transformations are;
1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis
The above transformation is a double reflection.
2. GHIJ is rotated about the origin 90° counterclockwise. The resulting
image is translated up 2 units.
3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the
origin. The resulting image is translated 2 units left.
Required:
The transformations that produce an image that is congruent to the given figure:
Solution:
Two figures are congruent if they have the same size and shape.
With the given figure being the trapezoid GHIJ, we have that a
transformation that will give an image that is congruent to the preimage
which is the trapezoid GHIJ is a rigid transformation.
Rigid transformations are;
ReflectionRotationTranslationThe combinations of transformation given within the scenario that consists
of only rigid transformations are scenario 1 and scenario 2.
Therefore, the correct option is; Numbers 1 and 2.
Learn more about rigid transformation here:
https://brainly.com/question/1801406
Beard bought 10 acres of land.She plans to divide the land into smaller lots that are each 1/20 of an acre.How many smaller lots will she have.
Answers
Answer:She will have:
N = 200 smaller lots
Step-by-step explanation: N = (total acres of land) / (smaller lots of land)
Substituting the values we have:
N = 10 / (1/20)
Rewriting we have:
N = 10 * 20
N = 200 lots
Rani makes a special design called a rangoli for Diwali. Her design is square with
a side length of 15 in. Rani then makes a larger rangoli by tripling this side length.
How many times as large is the area of the new rangoli than the area of the
original rangoli?
Answers
Answer: 180
Step-by-step explanation:
• 15 x 4 = 60
• 60 x 3 = 180
Therefore the answer is 180.
Shira’s Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold. How many shoes did the company sell in June? Analyze Emily’s calculations. What error did she make? StartFraction part Over whole EndFraction = StartFraction 70 times 8,750 Over 100 times 8,750 EndFraction = StartFraction 612,500 Over 875,000 EndFraction.
Answers
Answer:
1,250,000
Step-by-step explanation:
875,000 sandals account for 70% of the total pairs sold.
875,000/7 = 125,000
125,000 accounts for 10%.
125,000 * 10 = 1,250,000.
1,250,000 accounts for 100%.
The company sells pairs of shoes in June is 612,500
In Emily's calculation the error she makes in the second last steps she forgets to write the term 70.
Given that,
Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.
We have to determine,
How many shoes did the company sell in June? Analyze Emily's calculations. What error did she make?
According to the question,
Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.
Then,
The shoes did the company sell in June is,
[tex]= \dfrac{70} {100}\times 875,000\\\\=8750 \times 70 \\\\= 612,500[/tex]
Hence, The company's sells pair of shoes in June is 612,500.
For more details refer to the link given below.
https://brainly.com/question/9351049
3’2x (8-5)
6’2+(4x3)
42-(14-12)
Answers
Answer:
1. 27
2. 48
3. 40
Step-by-step explanation:
3 to the power of 2 is 9 (3×3)
9×3=27. (8-5=3)
6 to the power of 2 is 36 (6×6)
36+12=48. (4×3=12)
42-2=40
Solve for x. *
40
15
50
10
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles marked there forms linear pair, and therefore they add up to be equal to 180°
That is ~
[tex] \sf2x + 30 + x = 180[/tex][tex] \sf3x + 30 = 180[/tex][tex] \sf3x = 180 - 30[/tex][tex] \sf x = 150 \div 3[/tex][tex] \sf x = 50 \degree[/tex]Therefore, value of x is 50°
GivenAC ⊥ BD , complete the flowchart proof below. Note that the last statement and reason have both been filled in for you. please giving brialist!!!
Answers
Answer:
Here you go!!!!! Its correct let me know if you need any more problems for me to try and solve!!!
Step-by-step explanation:
What is the length of leg y of the right triangle? (1 point)
A right triangle with hypotenuse 37 and legs 35 and y
A)2
B)8
C)12
D)35
Answers
Answer:
C)12
Step-by-step explanation:
[tex] {y}^{2} = {37}^{2} - {35}^{2} [/tex]
[tex] {y}^{2} = 1369 - 1225[/tex]
[tex] {y}^{2} = 144[/tex]
[tex]y = 12[/tex]
hey hey u guyss 60 pointsss
-6.1(-4.1) +6.8=
btw hurry im timed plss :)
Answers
Answer:
31.81
Step-by-step explanation:
-6.1 * -4.1 = 25.01
+ 6.8 = 31.81
Answer:
31.8
Step-by-step explanation:
I will assume that
"-6.1(-4.1) +6.8="
means (-6.1)*(-4.1) +6.8=
(-6.1)*(-4.1) = 25
25 + 6.8 = 31.8
Hey y’all,please help me :)
Answers
Answer:
-c-4≥8
Step-by-step explanation:
Just ask!
Hope this helps. :)
If Angle CAB is 49 degrees, what is the measure of Angle ABD? *
Answers
Answer:
49 degree
Step-by-step explanation:
One way to convert from inches to centimeters is to multiply the number of inches by 2.54. How many centimeters are there in 3/4 inches?
Answers
Answer:
1.905
Step-by-step explanation:
14.
Considered a sample of 52 football games where 32 of them were won by the home team use a 0.01 significance level to test the claim that the probability that the home team wins is greater than one half
Answers
Answer: Yes the win level is greater than 1/2
Step-by-step explanation: 32/52 is greater than 1/2
shares of AT&T stock were purchased for $8,250. What is the cost of ten shares?
Answers
Answer:
$82,500
Step-by-step explanation:
Since each share is 8250 and we want to find to find 10 shares, we can do 8250 (price of each share) x 10 (amount of shares) and we get $82500
