Answer:
1. [tex] \boxed{ \bold{ \sf{ - 3x + 5}}}[/tex]
2. [tex] \boxed{ \bold{ \sf{ {x}^{4} + 3 {x}^{3} + 2x}}}[/tex]
Step-by-step explanation:
1. [tex] \sf{(2x + 2) + (3 - 5x)}[/tex]
When there is a ( + ) in front of expression in parentheses , the expression remains the same.
⇒[tex] \sf{2x + 2 + 3 - 5x}[/tex]
Collect like terms
⇒[tex] \sf{ - 3x + 2 + 3}[/tex]
Add the numbers
⇒[tex] \sf{ - 3x + 5}[/tex]
2. [tex] \sf{( {3x}^{3} - 4 {x}^{4} ) + (2x + 5 {x}^{4}) }[/tex]
When there is a ( + ) in front of expression in parantheses , the expression remains the same
⇒[tex] \sf{3 {x}^{3} - 4 {x}^{4} + 2x + {5x}^{4} }[/tex]
Collect like terms
⇒[tex] \sf{ {x}^{4} + 3 {x}^{3} + 2x}[/tex]
Hope I helped!
Best regards!!
What point would you have when (-7, 3) is reflected over the line y=x?
A. (3,-7)
B. (-3,7)
C. (7,-3)
D. (-7,3)
The point would you have when (-7, 3) is reflected over the line y=x is (7, -3).
The line y=x looks like an even, the diagonal line going through (0, 0) on a graph.
If you have (-7,3), you are in the first quadrant (in the upper left square of the graph).
What is the reflection?Reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns to the medium from which it originated.
If you reflect it diagonally, the digits themselves would remain that same, but the value would flip (if it’s positive, it’ll become negative, if it’s negative, it’ll become positive).
So if we do that with (-7, 3), it becomes (7, -3).
The point would you have when (-7, 3) is reflected over the line y=x is (7, -3).
To learn more about the reflection visit:
https://brainly.com/question/1908648
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Integrated math ll
I need help ASAP
Answer:
x = 12; m<ABC = 76
Step-by-step explanation:
The two angles whose measures are given form a linear pair. Therefore, they are supplementary angles, and their measures add up to 180 degrees.
8x - 20 + 116 - x = 180
7x + 96 = 180
7x = 84
x = 12
The angle with measure 8x - 20 and angle ABC are vertical angles. That means that their measures are equal.
m<ABC = 8x - 20 = 8(12) - 20 = 96 - 20 = 76
Answer: x = 12; m<ABC = 76
Twelve relatives always give gifts to one another. They have been doing it for eight years. How many exchanges have happened so far?
Answer:
1,056 gifts
Step-by-step explanation:
If twelve relatives give gifts to one another
This means each of the twelve relatives gets gifts from the other 11 relatives
=12 relatives * 11 gifts
= 132 gifts per year
They have been doing it for 8 years
Total gifts exchanged for 8 years= 132 gifts × 8 years
=1,056 gifts
Therefore, number of gifts exchanged for 8 years among 12 relatives is 1,056 gifts
The regular price for a T-shirt is $25 and the regular price for a pair of jeans is $75. If the T-shirt is sold at a 30% discount and the jeans are sold at a 10% discount, then
the total discount is
Answer:
$7.50
Step-by-step explanation:
Discount for t-shirt:
30/100 × $25 = 30/4 × 1
= 30/4
= $7.50
Discount for a pair of jeans:
10/100 × $75 = 10/4 × 3
= 30/4
= $7.50
Total discount:
= $7.50 + $7.50
= $15
Answer:
$7.50
Step-by-step explanation:
Discount for t-shirt:
30/100 × $25 = 30/4 × 1
= 30/4
= $7.50
Discount for a pair of jeans:
10/100 × $75 = 10/4 × 3
= 30/4
= $7.50
Total discount:
= $7.50 + $7.50
= $15
Which equations have one solution
Answer: C and F
Step-by-step explanation:
Remember that for two equations to have the same solutions they need to have the different slopes and different y intercepts or they could have the same y-intercepts but different slopes.
First we will simply each of the equations
A. [tex]\frac{1}{3} x + 3 = 26 + \frac{6}{18}x - 23[/tex] reduces to .[tex]\frac{1}{3}x + 3 = \frac{1}{3} x + 3[/tex] Since this have the same slopes and same y-intercept they have infinitely many solutions
B. x +3 + 3x = -3 +4x +6 reduces to 4x + 3 = 4x +3 This also have the same slopes and same y-intercepts which means it also have infinitely many solutions.
C. 2(1/5 + 1/4x) -2x = x -1 reduces to -3/2x +2/5 = x -1 This have different slopes and different y intercepts so they have One solution.
D . 4.3x + 2.5 -2.2x + 2.2 -2.1x = 0 reduces to 4.7 = 0 which means that this equation have no solution because 4.7 does not equal 0.
E. 2(4x +3) + 2x= 5(2x + 3) reduces to 10x + 6 = 10x + 15 which means this also have No solution because they have the same slopes but different y-intercepts.
F. 2/5x + 10 + 3/5x = 2x + 5 reduces to 1x + 10 = 2x + 5 This also have 1 solution because they have different slopes and different y intercepts.
Which angle measures are correct? Select three options,
OmZX= 55°
OmZW = 125°
OmZW = 55°
mZZ = 125°
mZZ = 55°
PLEASE ANSWER FAST TIMED TEST
Answer:
m∠W = 125°
m∠X = 55°
m∠Z = 55°
Step-by-step explanation:
The explanation of angle measures is shown below:-
The shape which is parallelogram WXYZ. m∠Y = 125
A parallelogram represents the shape of quadrilateral in which both opposite sides and opposite angles are similar to each other. One parallelogram diagonals bisect each other. Consecutive angles are also supplementary to a parallelogram.
In WXYZ parallelogram is there
m∠Z + m∠Y = 180° is an angle of Consecutive in a parallelogram is supplementary
m ∠ Z + 125 = 180
m ∠ Z = 180 - 125
m ∠ Z = 55°
m ∠ W which equals to m∠Y where equal angles are Opposite
m∠W = 125°
m ∠ W + m ∠ X = 180°
which is the angle of Consecutive in a parallelogram called supplementary)
m ∠ X + 125 = 180
m ∠ X = 180 - 125
After solving the above equation we will get
m ∠ X = 55°
What is 50 percent of 62? 0.31 3.1 31 310
Answer:
[tex]\Huge \boxed{\mathrm{31}}[/tex]
Step-by-step explanation:
50 percent of 62 is also one half of 62.
62 × [tex]\frac{1}{2}[/tex] = 31
Answer:
50 is 31% of 62.
Step-by-step explanation:
To solve this, we need to set up our problem like this, since percentages are written with %, and add up to 100%.
[tex]\frac{62}{x} =\frac{100}{50}[/tex]
Next, we flip the denominators with the numerators so that the x ends up on the top.
[tex]\frac{x}{62}=\frac{50}{100}[/tex]
Finally, we can see that 50/100 is 1/2, so to solve x/62, we have to divide 62 by 2 to get our answer.
62 ÷ 2 = 31
Our answer is 31%.
Simplify the expression. Write your answer as a power.
(-1/2)^3 x (-1/2)^6
What is the expression?
Answer:
The answer is
[tex]( { - \frac{1}{2} })^{9} [/tex]Step-by-step explanation:
[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} [/tex]Use the rules of indices
Since they have the same base and are multiplying we add the exponents
That's
[tex] {a}^{x} \times {a}^{y} = {a}^{x + y} [/tex]So we have
[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} = ({ - \frac{1}{2} })^{6 + 3} [/tex]We have the final answer as
[tex]( { - \frac{1}{2} })^{9} [/tex]Hope this helps you
Follow the steps to solve for the variable in this two-step equation: 5x – 10 = 0
please help me on this i’ll mark u the brainliest
40 + (12) (27) + 18=
Answer:
Hey there!
40+12(27)+18
40+324+18
364+18
382
Let me know if this helps :)
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{382}}}}[/tex]Step-by-step explanation:
[tex] \sf{40 + (12)(27) + 18}[/tex]
Multiply the numbers : 12 and 27
⇒[tex] \sf{40 + 324 + 18}[/tex]
Add the numbers : 40 , 324 and 18
⇒[tex] \sf{382}[/tex]
Hope I helped!
Best regards!!
What does N equals in the following equation? N +6+9=32 multiple choice answers are ? A.) 10 B) 20 C) 30
Answer
[tex] \boxed{ \boxed{ \bold{ \purple{N = 17}}}}[/tex]
Step by step explanation
[tex] \sf{N + 6 + 9 = 32}[/tex]
Add the numbers
⇒[tex] \sf{N + 15 = 32}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{N = 32 - 15}[/tex]
Calculate the difference
⇒[tex] \sf{N = 17}[/tex]
Hope I helped!
Best regards!!
Find the area of the triangle.
16 in.
25 in.
Answer:
The area of the triangle with the given measurements is 200 in²
Step-by-step explanation:
For this problem, we will need to know the formula for finding the area of a triangle.
A = 1/2(bh)
Now, let's plug in these numbers so we can find the area.
A = 1/2(bh)
A = 1/2(16*25)
A = 1/2(400)
A = 200 in.²
Which image shows a reflection?
Answer:
A
Step-by-step explanation:
We can see that:
- Shape B has just been translated down (moving down a couple of squares)
- Shape C has been rotated 90° clockwise
Rain began failling at 2:18 . It rained for 1 hour and 36 minutes
Answer:
It stopped raining at 3:54
Step-by-step explanation:
1. Name the vertex of the angle
2. Name the sides of the angle.
3. Give three ways to name the angle.
4. Classify the angle.
Answer:
see explanation
Step-by-step explanation:
1. The angle is RST
2. The sides of the angle are SR and ST
3. The angle can be named as ∠ RST, ∠ TSR, ∠ S
Note in the 3 letter angle name the vertex of the angle is in the middle
4 The square at S indicates the angle is right, that is 90°
what is a theory in science
A scientific theory is a validated explanation of some aspect of the natural world, based on multiple facts that have been frequently verified through research and experimentation. Fact theories are not "guesses" but reliable accounts of the real world.
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
Answer:
-21 F
Step-by-step explanation:
it already was -14
then dropped 7
so it becomes
-14 - 7 = -12 f
A shirt regularly priced at $36.00 was on sale for 25% off.
What was the sale price?
A. $9.00
B. $24.00
C. $27.00
D. $48.00
E. None correct
What is the fractional equivalent of the repeating decimal 0.6 ?
Answer:
2/3
Step-by-step explanation:
We know that 0.6 is part of the 1/3 family.
1/3 would be equal to 0.333...
2/3 would be equal to 0.666...
3/3 would equal to 1
Alternatively, we know that anything out of 9 or 99 would be a repeating decimal. Simply take 6 and divide it by 9:
6/9 = 0.666
We can then simplify the fraction by dividing both top-bottom by 3:
6/9 = 2/3
2.5=25% is it true or false
Answer:
[tex]\huge \boxed{\mathrm{false}}[/tex]
Step-by-step explanation:
25% is 25 out of 100.
[tex]\displaystyle \frac{25}{100} = 0.25[/tex]
[tex]2.5\neq 0.25[/tex]
The statement is false.
An amount of #550,000.00 was realised when a principal,x was saved 2% simple interest for 5 years. Find the value of x
Answer:
£500,000.00
Step-by-step explanation:
Principal = x
Saving rate = 2% PA simple
Time = 5 years
Final amount = £550,000
x*(1+ 2*5/100) = 550,000x*(1 + 0.1) = 550.0001.1x = 550,000x= 550,000/1.1x= 500,000Principal amount is £500,000
Answer:
[tex]\huge \boxed{{x=500,000}}[/tex]
Step-by-step explanation:
[tex]A=P(1+rt)[/tex]
[tex]A[/tex] = amount ⇒ 550000
[tex]P[/tex] = principal amount ⇒ x
[tex]r[/tex] = rate ⇒ 2%
[tex]t[/tex] = time ⇒ 5
[tex]\displaystyle 550000=x(1+\frac{2}{100} (5))[/tex]
Solve for the brackets.
[tex]\displaystyle 550000=\frac{11}{10}x[/tex]
Multiply both sides of the equation by [tex]\frac{10}{11}[/tex].
[tex]500000=x[/tex]
The value of x (principal amount) is 500,000.
Please help with the question below
In the figure below,m /_ 1=58º. Find m/_2
Answer:
32°
Step-by-step explanation:
What we have to notice here is that m∠1 and m∠2 are complementary angles. This means that their angles add up to 90°.
Since we know the measure of m∠1, we can easily find the measure of m∠2 since both add up to 90.
m∠1 is 58, so:
[tex]58 + x = 90[/tex]
[tex]x = 90-58\\\\x=32[/tex]
Hope this helped!
What is 5/8 of $44.83? Round to the nearest cent (hundredth).
Answer:
$28.02
Step-by-step explanation:
5/8 of 44.83
0.625 • 44.83 = 28.01875
≈ 28.02
Answer:
$28.02
Step-by-step explanation:
5/8 of $44.83
(5 * 44.83) / 8
$28.02
The relation shown in the graph is a function. True or false
Answer:
True. Brainlyest plz
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular area. The area that is inside the circle, but outside the gazebo, requires mulch. This area is represented by the function m(x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g(m), where m is the area requiring mulch.
Answer:
The equation of cost of mulch is [tex]1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex].
Step-by-step explanation:
The equations m (x) and g (m) are as follows:
[tex]m(x)=\pi x^{2}-2\sqrt{2}x^{2}\\g(m)=1.50m[/tex]
It is provided that the cost of mulch requires is represented by the function g(m), where m is the area requiring mulch.
To compute the equation of cost of mulch based on the radius of the circle substitute the value of m (x) in g (m).
The equation of cost of mulch is:
[tex]g(m) = 1.50m[/tex]
[tex]=1.50\times m(x)\\\\=1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex]
Thus, the equation of cost of mulch is [tex]1.50\times (\pi x^{2}-2\sqrt{2}x^{2})\\\\[/tex].
Answer:
the answer is A
Step-by-step explanation:
edge
Write the quotient as a mixed number.
94 divided by 7 = 13 R3
Answer:
13 3/7
Step-by-step explanation:
94÷7=13 r3
13 and 3 over 7
8 - 3(k + 2) = 2-3k
Answer:
Any value of k makes the equation true.
All real numbers
Interval Notation:
( − ∞ , ∞ )
function f(x) = 4x - 6 with a domain of (-3,5), identify the range
Answer:
(-18,5)
Step-by-step explanation: