13. State the restrictions
and then simplify
8x2 +14x-49 /
2x²+x-21
Answer:
Whenever the denom is 0, that's where it's undefined -- or in your case "restrictions"
So factoring 2x^2 + x - 21 gets you (x-3)(2x+7). That means 3 and -7/2 are the restricted values.
To simplify, I'm going to factor it. (Assuming what you wrote is 8x^2 for the numerator)
[(4x-7)(2x+7)] / (x-3)(2x+7)
You can cancel 2x+7 out,
so you get 4x-7/x-3
Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
fractions when required.
Answer:
[tex]y=\frac{1}{3} x+6[/tex]
Step-by-step explanation:
[tex](3,7)(-6,4)[/tex]
Step 1. Find the slope (by using the slope-formula)
m = slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-7}{-6-3}[/tex]
[tex]m=\frac{-3}{-9}[/tex]
[tex]m=\frac{3}{9}[/tex]
[tex]m=\frac{1}{3}[/tex]
Step 2. Write the equation (using the slope and the points)
Here's how to do it:
Slope-intercept Formula [tex]y=mx+b[/tex] whrere m = slope and b = y-intercept
Plug in the slope into the Slope-intercept Formula
[tex]y=\frac{1}{3} x+b[/tex]
Find the y-intercept (b) by using a point and substituting their x and y values
[tex]y=\frac{1}{3} x+b[/tex]
Point: (3, 7)
[tex]7=\frac{1}{3} (3)+b[/tex]
[tex]7=1+b[/tex]
[tex]b=7-1[/tex]
[tex]b=6[/tex]
Step 3. Write the equation in Slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3} x+6[/tex]
Solve for a: 7a = 63
Answer:
a = 9
Step-by-step explanation:
7a = 63
Divide 7 on both sides,
=> 7a/7 = 63/7
=> a = 9
help pls, i dont get this :(
Answer:b. a deposit of $278 followed by a withdrawal of $278
Step-by-step explanation:
use a calculator
The One-to-One Property of natural logarithms states that if ln x = ln y, then _____
Answer:
x=y
Step-by-step explanation:
There is exactly one value of x for a value of the function by the one-to-one property.
Use the appropriate method to find the quotient and the remainder when 8x³+4x+3 is divided by 2x-1
The width of a rectangle measures (2p - 9q) centimeters, and its length measures
(7p - 10q) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?
Given Data : Length = (7p - 10q) and Breadth = (2p - 9q)
Calculation :
⟹ Perimeter = 2(Length + Breadth)
⟹ Perimeter = 2(7p - 10q + 2p - 9q)
⟹ Perimeter = 2(9p - 19q)
⟹ Perimeter = 18p - 38q centimetres
Answer : 18p - 38q centimetresThe required perimeter of the rectangle is 18p - 38q centimeters.
It is required to find the required perimeter of the rectangle.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given:
width of a rectangle = (2p - 9q) centimeters,
length measures= (7p - 10q) centimeters.
We know that
⟹ Perimeter = 2(Length + Breadth)
By put the value width and length in perimeter we get,
⟹ Perimeter = 2(7p - 10q + 2p - 9q)
⟹ Perimeter = 2(9p - 19q)
⟹ Perimeter = 18p - 38q centimeters
Therefore, the required perimeter of the rectangle is 18p - 38q centimeters.
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how do i solve a·a²·a³
Answer:
a^(1+2+3) so a^6
Step-by-step explanation:
There are 12 girls and 14 boys in class today. What is the ratio of girls
to boys? whats the answer
Answer:
12:14
Step-by-step explanation:
185 for 4 tickets whats the price per ticket
Pls answer this question! I will mark as brainliest!!!
Answer:
1/8
Step-by-step explanation:
There is a 1/2 probability for each of the three flips to result in the desired outcome. To get 3 desired outcomes in a row, we multiply each of the probabilities together
(1/2)³ = 1/8
Answer: it is D) 2/3
Detailed answer if possible I look to try and understand how to do this. So there is no need for a rushed answer just a detailed one so I can know how to do problems like these.
Answer:
yes
Step-by-step explanation:
the value of the power 4⁴=
Answer:
256
Step-by-step explanation:
4⁴
= 4 × 4 × 4 × 4
= 16 × 16
= 256
Determine whether the variable is qualitative or quantitative.
breed of dog
Answer:
qualitative
Step-by-step explanation:
Breed of dog does not involve numbers: it's qualitative since dogs can have categories like "poodle" or "dachshund."
A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/ 18. Find the two integers.
Answer:
9 and 18
Step-by-step explanation:
Let the integers be a and 2a (since one is twice the other).
The reciprocals are 1/a and 1/(2a) respectively.
Difference means tk subtract.
So we have 1/a-1/(2a)=1/18
Multiply both sides by 18:.
18a/a-18a/(2a)=18a/18
Simplify:
18-9=a
Simplify:
9=a
If a=9, then 2a=18
The integers are 9 and 18.
Test:
1/9-1/18
2/18-1/18
1/18
Golden!
1.6 lbs. = __ gal
how many gallons are in 1.6lbs?
The perimeter of a right-angled triangle is 96 cm.
The lengths of its sides are in the ratio 6: 8:10
Work out the area of the triangle in cmp.
Perimeter = the sum of all the sides. In this case, we know the ratio but not what each would be multiplied by, hence the variable.
6x + 8x + 10x = 96
24x = 96
x = 4
6(4) = 24
8(4) = 32
10(4) = 40
Check:
24 + 32 + 40 = 96 cm
Area = (base * height) / 2
Base = 32
Height = 24
(The base and height are interchangeable here, as we just have to make sure we're multiplying the legs of the triangle together and avoiding the hypotenuse.)
(32 * 24) / 2
768 / 2
384
Area = 384 cm^2
Hope this helps!
Find the area of the shaded region.
Step-by-step explanation:
find the area of the big semicircle and the small semicircle.minus the area of the small semicircle from the big semicircle.
now find the area of the other semicircle on top of the big semicircle.
add your results
area of semicircle=1/2(pir^2)
10 employees only eat
vegetables and 25 employees
eat meat. What is the ratio of
the employees who only eat
vegetables to employees who
eat meat?
there are 11 books on a shelf. 3 of these books are new The rest of them are used. Whats the ratio of all books on the shelf to used books
Answer:
9 used books
Step-by-step explanation:
there are 9 used books
solution:11-3=9
so therefore the answer is 9
272 students enrolled in a freshman-level chemistry class. By the end of the semester, 7 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.
The number of students who passed is 234 and the number of students who failed is 39.
To find number of students who passed, and the number of students who failed.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers.
Given that:
students enrolled in a freshman-level chemistry class=272
By the end of the semester, 7 times the number of students passed as failed.
Let x is number of students failed.
Then 6x is number of students passed.
So, 6x + x = 273
7x = 273,
∴x = 39
number of students passed= 273 - 39 = 234
So, the number of students who passed is 234 and the number of students who failed is 39.
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what is the arithmetic sequence of a1=228 n=28 sn=2982
Answer:
use the formula sn= n(a1+an)/2
Step-by-step explanation:
2982=28(228+an)/2
5964=28(228+an)
5964/28=228+an
213=228+an
an=-15(last term)
to find difference use formula
an = a+(n-1)d
-15=228+(28-1)d
-243=27d
d=-243/27
d=-9
arithmetic sequence can be found be keep on subtracting 9 from 228
hence the arithmetic sequence is
228, 219, 210, 201, 192, 183, 174........-15
HELP ME OUT PLS … ……..
I need help solving this question please with an explanation.
Answer:
if he work 3 hours and earn 40.50
then the money he earn per hour is 40.50/3=13.5 ans
Is 0.6 a rational number
Answer:
The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.
Answer:
Yes. 0.6 is a rational number.
midpoint between (-5, 4) and (7, -5)
Answer:
(1, -1/2)
Step-by-step explanation:
Find the midpoint by finding the averages of the x coordinates and y coordinates:
(-5 + 7) / 2
2 / 2 = 1 (x coordinate)
(4 - 5) / 2
-1 / 2 = -1/2 (y coordinate)
So, the midpoint is (1, -1/2)
Note: Enter your answer and show all the steps you use to solve this problem in the space provided. 6 × 5 + 3 × 8
Make it simple, please
Answer:
54
Step-by-step explanation:
6x5=30
3x8=24
30+24=54
25÷5 + 12+5×2 solve this bodmas sum
Answer:
5+12+5×2
5+12+10
27
According to BODMAS Rule the ans is 27
Answer:
27
Step-by-step explanation:
25÷5+ 12+5×2
=5+12+5x2
=5+12+10
=17+10
=27
Hope this helps! Thanks.
-5 - (-14)
Which expressions are equivalent to the given expression?
A. -5 - 14
B. -5 + 14
C. -14-(-5)
D. -14 +5
E. -14 - 5
F. 14 - (-5)
G. 14 + 5
H. 14 - 5
7th grade math
Answer:
[tex]b) h) \\ - 5 - ( - 14) \\ = - 5 - - 14 \\ = - 5 + 14( - \times - = + )-5+14=14-5 \\ thank \: you[/tex]
Answer:
-5 + 14
14 - 5
Step-by-step explanation:
ANSWER PLEASE NO FAKE ANSWERS ILL GIVE BRAINLIEST: Jaxson did the following problem incorrectly. Choose the option that correctly identifies what Jaxson did
wrong
Jaxson's work: 8 3/5 + 7 1/8 = 15 4/3
1. Jaxson forgot to simplify his answer.
2. Jaxson should have changed the mixed numbers to improper fractions.
3. Jaxson added the denominators instead of finding a common denominator and leaving it alone,
4. Jaxson did not make a mistake. He did everything right.
Answer:
3. Jaxson added the denominators instead of finding a common denominator and leaving it alone
Step-by-step explanation:
8 3/5 + 7 1/8 = 15 4/3
Get a common denominator
8 3/5 *8/8 + 7 1/8 *5/5
8 24/40 + 7 5/40
15 29/40