Answer:
B and E
Step-by-step explanation:
Given the rational expression
[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
[tex]\frac{x-7}{2(x-4)(x+4)}[/tex]
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E
If a=4, b=5 and c=7, calculate 2a + 3c
Answer:
2a + 3c = 29
Step-by-step explanation:
2a + 3c =
= 2×4 + 3×7
= 8 + 21
= 29
what are their means and extremes of the following proportion
Answer:
a and d are extremes b and c are meansStep-by-step explanation:
[tex]\frac{a}{b} =\frac{c}{d}[/tex]
another way to write the equality of the two ratios is :
a : b = c : d
as you can see in the equality a : b = c : d
a and d are extremes b and c are means−7/8 −(−5/6) in simplest form
Answer:
-1/24
Step-by-step explanation:
-7/8 - (-5/6)
Subtracting a negative is like adding
-7/8 + 5/6
Get a common denominator
-7/8 * 6/6 + 5/6 *8/8
-42/48 + 40/46
-2/48
-1/24
Find the length of each side of a square field whose area is 6084 m²
_______________________________
Hey!!
Solution,
Area of a square field=6084m^2
Length(l)=?
Now,
Area of square=l^2
or, 6084=l^2
or,L=√6084
L= 78
So the length of each side of a square field is 78 m.
Hope it helps...
Good luck on your assignment
________________________________
Plzzz answer ASAP. Plzz answer ALL three a,b,c
Answer:
I hope it helps . For any clarification , Please notify me through the comment section .
Step-by-step explanation:
[tex]f(x) = 3x-5\\g(x) = 2(x-1)\\ \\g(-3) = 2(-3-1)\\g(-3) = 2(-4)\\g(-3) = -8\\\\f[g(x)] = f(2(x-1)\\f[g(x)] = 3[2(x-1)]-5\\f[g(x)] = 3[2x-2]-5\\f[g(x)] = 6x-6-5\\f[g(x)] = 6x-11\\\\g[f(x)] = g[3x-5]\\g[f(x)] = 2[3x-5-1]\\g[f(x)] = 6x -10-2\\g[f(x)] = 6x -12[/tex]
Please help me asap ty
Step-by-step explanation:
First, I would work out the missing angle:
25° + 90° (right-angle) = 115°
180° - 115° = 65°
The missing angle is 65°.
-I'm too dumb and don't remember how to work out the rest but I hope I helped a bit
Answer:
Side AB = 4.41
A restaurant has 75% of its tables being used. Which ratio compares the used tables with all the tables in the restaurant? A. 50:100 B. 25:75 C. 25:100 D. 15:20
Answer:
D
Step-by-step explanation:
It would 75:100
We then can simplify that by dividing by 5 so we get
15:20
Answer: 15:20
Step-by-step explanation:
75% tables are used out of 100%
The ratio will be 75:100 = 15:20
Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.
Answer:
Liz
Step-by-step explanation:
lets make all speeds ft/1sec
Ron 8ft/1sec
Liz 104ft/7sec : 104/7=
14.8571428571 ft/1 sec
Katie
1 mile = 5280ft
5280ft/526sec
5280/526=
10.0380228137ft/1 sec
Emily,
1 min= 60 sec
835ft/60 sec
835/60=
13.9166666667 ft/sec
now, lets order from least to greatest
R:8ft/1sec, K:10.0380228137ft/1 sec,
E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec
Liz's speed is fastest
the student is asked to solve the equation below and to justify her his step what if anything is the first mistake the student made
15/17y=-3
Answer:
the correct answer should be -2.65
Step-by-step explanation:
the mistake is dividing 17y by 15 instead of 17
The temperature on Monday was - 23 F . The temperature on Tuesday was 18 degrees higher. What was the temperature on Tuesday?
Answer: the Temperature on Tuesday is 13 degrees Celsius
What is the ratio of quadrilaterals to shapes?Write the ratio as a fraction using the / symbol.
If the side on one shape is a and the side on the other shape is b, a common ratio between the two shapes r will exist so that a = b × r. Thus, to find a common ratio simply divide one corresponding side's length by the other: r = a ÷ b. It's as simple as that.
The value of 3⁵ ÷ 3-⁶
Answer: 33
Step-by-step explanation:
First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.
Next we have to figure out what 3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.
Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.
Hope this helped :)
The value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
We have - [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
We have to find its quotient.
Evaluate the following expression - [tex]\frac{a^{n} }{a^{m} }[/tex].You can simplify the expression as follows -
[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]
According to the question, we have -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
Using the rule mentioned above, we can solve this as -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]
Expanding [tex]3^{11}[/tex] = 177147
Hence, the value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
To solve more questions on exponents, visit the link below -
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If f(x) = 3x - 2 and g(x) = 2x + 1, find (f+ g(x).
O A. 5x-3
O B. x-1
O c. x-3
O D. 5x-1
SUBMIT
Plzzz helpp
Answer:
5x-1
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1
f(x) + g(x) = 3x-2 +2x+1
Combine like terms
= 5x-1
Answer:
(f+g)(x)=5x-1
Step-by-step explanation:
To find (f+g)(x), add f(x) and g(x)
f(x)+g(x)
We know that f(x) is equal to 3x-2 and g(x) equals 2x+1.
f(x)=3x-2
g(x)=2x+1
(3x-2)+ (2x+1)
Combine like terms. Add all the terms with a variable, then all the terms without a variable
(3x+2x)+(-2+1)
5x+(-2+1)
5x-1
(f+g)(x)=5x-1
Mira is applying for a mortgage, and the bank wants to know how much she makes per year. She's paid $25 an hour and
works 30 hours a week. She needs to calculate how much she makes per year.
Select the correct answer from the drop-down menu.
Mira's annual income, assuming 52 weeks per year, is $
A- 9,000
B-22,500
C-39,000
Answer:
39,000
Step-by-step explanation:
$25x30=$750
$750x52=$39000
For every 4 hours of babysitting, Sam charges $30. If last month she earned $75, how many hours did she babysit ?
Answer:
10
Step-by-step explanation:
-5.8c + 4.2 - 3.1 + 1.40
Answer:
-3.3
Hope this helps!
Help please someone
Answer: 751 points
Step-by-step explanation:
454 + 297 = 751
Answer:
751
Step-by-step explanation:
-297 + 454 = 751
Easier way of doing this is rounding 297 to 300 and doing 454 + 300, and subtracting 3.
In the Metric System: As you move from a smaller unit to a larger unit, the number of larger units required will be LESS. Therefore the decimal point will always move to the LEFT when you want to make a number smaller because the unit is larger. is it true or false?
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Did it on edge2020
How many years will Matt need to invest $4200 to earn $200 interest, if the simple interest rate is 2.5% p.a.? Round the answer to the nearest year
Answer: 2 years
Step-by-step explanation:
SI = prt / 100
200 = ( 4200 x 2.5 x t) / 100
200 = 105 t
t = 200/105 = 1.9
A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?
Answer:
It will be in the 3rd quadrant.
Step-by-step explanation:
Hope that helps!
Answer:
The rotated figure appears in the 3rd quadrant
Step-by-step explanation:
To visualize a problem can sometimes be challenging.
It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.
Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.
Corner coordinates are therefore:
A =( 1, 0)
B =( 2, 0)
C =( 2, 1)
D =( 1, 1)
Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).
The new coordinates are:
A' =(-1, 0)
B' =(-2, 0)
C' =(-2 -1)
D' =(-1, -1)
These are all in third quadrant.
Therefore, the rotated figure appears in the 3rd quadrant
Can some text me and help me with all my e2020
Will be Marked brainliest and extra points
A. Yes
B. No do it your self
Answer:
idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl can see here on brainly
Isabella wants the distribution of money spent on advertising to match the distribution of profit gained from each product. If
Isabella has a budget of $22.5 million, how much should she allocate for ads for peripherals, to the nearest hundred thousand
dollars?
a. $9.7 million
b. $7.3 million
c. $4.1 million
d. $2.2 million
The company's profit in the year 2003 is $3.1 million
What is profit?Profit is stated as the amount of revenue generated after deduction of all the liabilities. Profit is the money you have left after paying for business expenses. There are three main types of profit: gross profit, operating and net profit.
Given that,
in the year 2000 profit = $2.2 million
Each year increase in profit = 13% =0.13
Total number of year = 2003-2000=3 years
Profit is denoted by
profit = initial profit ( 1 + each year increase)^years
Substituting the values we get
profit=2.2( 1 + 0.13)³
=2.2( 1.13)³
=3.174373
=3.1 million
Therefor , the company's profit in the year 2003 is $3.1 million
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Answer: Its C
Step-by-step explanation: I got it right
What is the surface area of the shaded front face of the composite solid?
A solid is comprised of 3 rectangular prisms. The first rectangular prism has a length of 2 centimeters, width of 4 centimeters, and height of 4 centimeters. The second has a length of 3 centimeters, width of 4 centimeters, and height of 2 centimeters. The third has a length of 3 centimeters, width of 4 centimeters, and height of 4 centimeters.
16 square centimeters
18 square centimeters
26 square centimeters
32 square centimeters
QUESTION 6
Answer:
26
Step-by-step explanation:
the first prism is 2 times 4 which is 8, the second is 3 times 2 which is 6, the third is 3 times 4 which is 12. 8 plus 6 plus 12 is 26.
By decomposing the figure into simpler shapes, we will see that the area is 26 square centimeters.
How to find the shaded area?Remember that for a rectangle of length L and width W, the area is:
A = L*W
Now, let's look at the figure, we want to find the area of the front face. We can decompose the front face into simpler figures.
These are (reading from left to right).
Rectangle of 2cm by 4cmRectangle of 3cm by 2cmRectangle of 3cm by 4cm.So the total area of the front face is equal to the sum of the areas of the 3 rectangles, then the total area is:
A = (2cm*4cm) + (3cm*2cm) + (3cm*4cm) = 26 cm²
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I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !
Answer:
A = 2 (on the left). 10 (on the right)
Step-by-step explanation:
Use pythgaros therom
Do 7^2 - 3^2 = 40
Do square root of 40 which equals the answer
Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
Answer:
its D
Step-by-step explanation:
Just did the test. Goodluck
Answer:
d
Step-by-step explanation:
Please Help!!!! Braniest will be given!!!!
Find the slope of the line through the given points.
(-3,6) and (1,2)
Answer:
m= -1
Step-by-step explanation:
hope this helps :)
Answer:
Step-by-step explanation:
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-6}{1-[-3]}\\\\=\frac{-4}{1+3}\\\\=\frac{-4}{4}\\\\=-1[/tex]
In the triangle below. 15 represents which ratio?
А
15
B
00
17
C
o tan
O tano
sin B
COS
Answer:
tanB
Step-by-step explanation:
In the picture attached, the question is shown.
By definition:
tan(β) = opposite/adjacent
From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:
tan(B) = 8/15
Solve.
-6x - 4y = -32
-2x + 7y = 6
A. (5, 3)
B. (5, 2)
C. (4, 3)
D. (4, 2)
Answer:
D
Step-by-step explanation:
-6x=4y-32
x=(2(2y-16))/-6
x=(2y-16)/-3
x=(-2/3)*y+16/3
solve for y:
-2((-2/3)*y+16/3)+7y=6
(4/3)y+21/3y+(-32/3)=18/3
(25/3)y=(18+32)/3
(25/3)y=50/3
25y=50
y = 2
solve for x:
-6x - 4y = -32
-6x - 8 = -32
-6x = -24
x = 4
answer: (4, 2)
john gave brandon five dollars and 13 cents now he has 25 dollars how much did he have
what does X equal to ?
Answer: x=7
Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.
so 4x+17 = 45, 4x = 28, x = 7