Answer:
[tex]\frac{1}{2x-3}[/tex]
Step-by-step explanation:
([tex]\frac{f}{g}[/tex] )(x)
= [tex]\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{x+1}{2x^2-x-3}[/tex] ( factorise the denominator )
= [tex]\frac{x+1}{(2x-3)(x+1)}[/tex] ← cancel the common factor (x + 1) on numerator/ denominator
= [tex]\frac{1}{2x-3}[/tex]
Does anyone know what the slope for C = 22.5 - (1/160)m
The slope of the linear equation, [tex]C = 22.5 - (\frac{1}{160}) m[/tex], is: [tex]-\frac{1}{160}[/tex]
Recall:
A linear equation in slope-intercept form is given as: y = mx + b."m" is the slope."b" is the y-intercept.Thus, given the linear equation:
[tex]C = 22.5 - (\frac{1}{160}) m[/tex],
C represents y
m represents x
[tex]-\frac{1}{160}[/tex] represents the slope (m)
22.5 represents b.
Therefore, the slope of the linear equation, [tex]C = 22.5 - (\frac{1}{160}) m[/tex], is: [tex]-\frac{1}{160}[/tex]
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My question is in the picture, answer it I’ll give you BRAINLIEST and your getting rewarded 50 POINTS.
Answer:
y-187.50= 1.50(x-125)
this is in point slope, but in slope intercept it would be y=1.50x+0
Step-by-step explanation:
Answer:
[tex]y-187.50=1.50(x-125)[/tex]
Step-by-step explanation:
Slope = $1.50
[tex]x=125[/tex]
[tex]y=$187.50[/tex]
Carlos has her own dog walking business he charges his customers $15 per day to walk the dog identify the independent and dependent variable in this scenario also make a table to show how much he earned her walking 0-5 dogs
Answer:
independent variables:
- cost per day per customer
-number of dogs walked
-dependent variables:
- amount of money earned (in total)
Table is attached below!
Step-by-step explanation:
Large fluffy towels were on sale at a discount of 30%. If the sale price was $8.40, what was the original price?
Answer:
$ 12
Step-by-step explanation:
Think that, Original price of a towel is $ 100
Using the above we can create a equation like this. Let the Original price of the towel given in the question be x.
Original price Discount Sale price
100 30 70
x 8.40
Now let's make an equation like this,
[tex]\frac{100}{x} =\frac{70}{8.40}[/tex]
Use cross multiplication and solve for the x
100 × 8.40 = 70 x
[tex]840=70x[/tex]
[tex]\frac{840}{70} =\frac{70x}{70}[/tex]
[tex]x=12[/tex]
Therefore, the original price is $ 12
Hope this helps you.
Let me know if you have any other questions :-)
how to find domain and range of a function
Answer:
The domain is found depending on the information you're given. In a table, the domain is found by taking all the x values given and listing them least to greatest. Same with ordered pairs. In a graph, the domain is found by first seeing if there are any restrictions and then find the x values that work and have one output.
The range is found the same way, but with the y values.
Hope this helps!!
Question
12! × 3! =
Answer:
2874009600
Step-by-step explanation:
You would have to do 12x11x10x9x8x7x6x5x4x3x2x1x3x2x1 which would equal 2874009600.
A company has developed a training procedure to improve scores on the
SAT. Following the training, 100 high school students take the SAT. The average math score is 517, with s = 90. Assuming u = 500 for the math SAT, test
the null hypothesis. Did the training significantly improve scores (a = .05,
directional)?
Answer:
The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance
Null hypothesis is accepted at 0.05 level of significance
A company has developed a training procedure is significantly improve scores
Step-by-step explanationStep(i):-
Given sample mean (x⁻ ) = 517
sample standard deviation (s) =90
Mean of the Population (μ) =500
Null Hypothesis :- H₀ : (μ) =500
Alternative Hypothesis : H₁ : μ ≠ 500
Step(ii):-
Test statistic
t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }
t = \frac{517 -500}{\frac{90}{\sqrt{100} } }
t = 1.717
Level of significance
∝ = 0.05
t₀.₀₅ = 1.6604
The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance
Conclusion:-
Null hypothesis is accepted at 0.05 level of significance
A company has developed a training procedure is significantly improve scores
Please I need help with this question can you answer it for me please
Say that you borrowed $200 from your friend and returned $220 after a year. What are the principal and interest amounts in this scenario?
A.
Principal = $200, Interest = $220
B.
Principal = $200, Interest = $20
C.
Principal = $220, Interest = $200
D.
Principal = $220, Interest = $20
what is the answer.
Answer:
B. Principal = $200, Interest = $20Step-by-step explanation:
Principal + Interest = TotalWe have:
Principal = 200 and Total = 220The interest is:
220 - 200 = 20Correct choice is B
Total=$220
Principal=$200
Interest:-
Total-Principal220-200$20Option B
if a rectangle is 8 in long and 6 in wide how many one square inch tikes are needed to cover its area
Answer:48 one square inch tiles
Step-by-step explanation:
The square has an area of (8x6)=48in^2. If we place 1 in^2 square tiles in a line 8 across (8 inches) and 6 down (6 inches), there will be 8x6 = 48 one square inch tiles.
Subtract. Write your answer as a fraction in simplest form.
−5/12 − 3/10
-43/60
Step-by-step explanation:
-5/12 × 5/5 - 3/10 × 6/6
-25/60 - 18/60
-25 - 18 / 60 = -43/60
this fraction cannot reduced
so, -5/12 - 3/10 = -43/60
A + 2 ÷ -24 = -4 what does A equal
Step-by-step explanation:
A + 2 ÷ (-24) = -4
A - 1/12 = -4
A = -4 + 1/12
A = -48/12 + 1/12
A = -47/12
A ≈ -3,91
In 6 hours, Lena reads 30 chapters of a book. What is her rate in chapters per hour?
Answer:
5
Step-by-step explanation:
5×6 =30 btw my name is lena and im a booke worm too lol
Answer:
30 divided by 6
= 5
Step-by-step explanation:
the are thirty chapters read in six hours
divide the thirty into the six hours you get five chapters read
that is your answer good luck!
Identify the equation that describes the line in slope-intercept form. slope =3, point (2,−4) is on the line
Answer:
[tex]y=3x-10[/tex]
Step-by-step explanation:
We identify the equation by using the slope-intercept form
[tex]y=mx+b[/tex]
[tex]m=3[/tex]
[tex](2,-4)\\(x, y)[/tex]
6х +3 = 4x+9
What’s x = ?
Answer:
x=3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
here you are
1) The ratio of the number of boys to the number of girls at a school is 4:5. If there are 120 boys, how many students are there altogether?
A 53 C 150
B 96 D 270
Answer:
270 students all together. First you divide 120 by the ratio of boys. That'll get you 30, then multiply 30 by 5 which is the girls ratio and you'll get 150. Finnaly add 150 + 120 then boom your answer
solve the following
[tex] log_{10} \: 35 - \: log_{10}17.5 [/tex]
[tex] log_{3} \: 27 + 2 log_{3} \: 9 - log_{3} \: 54[/tex]
[tex] log_{10} \: \frac{1}{2} [/tex]
Answer:
1. [tex] log_{10} \: 35 - \: log_{10}17.5 [/tex]
Answer: 0.331 \: aprox. [/tex]
2. [tex] log_{3} \: 27 + 2 log_{3} \: 9 - log_{3} \: 54[/tex]
Answer: -9 log_{3}
Explanation:
[tex] log_{10}35 - log_{10}17.5 \\ = log_ \frac{35}{17.5} \\ = log_{10}0.5 \\ = log_{5} - log_{10}10 \\ = log_{5 - 1} \\ = 0.669 - 1 \\ = 0.331 \: aprox. [/tex]
50 km/h east is an example of
acceleration
velocity
deceleration
time
?? help! K12 test.
If 40% of 57 students like
turkey sandwiches, how many
students don't like turkey
sandwiches?
Answer:
34 students
Step-by-step explanation:
Turn 40% to decimal = 0.4
Then multiply it to 57.
57 * 0.4 = 22.8
Round it.
22.8 = 23
Now subtract it to 57
57 - 23 = 34
I forgot how to do this please help.!
Answer:
9/10=36/40 3/4=30/40
9/10> 3/4
Step-by-step explanation:
36/10 > 30/40
Identify the correct equation for following statement.
52 is what percent of 260?
The answer to your question is 20%
52 is 20% of 260
Calculate the area of this triangle.
14 cm
11 cm
18 cm
Answer:
73 cm (Estimated)
Step-by-step explanation:
Let's use hero's formula to solve this.
=> 1/2(14 + 11 + 18) = S
=> 1/2(43) = S
=> S = 21.5
√s(s - a)(s - b)(s - c)
=> √21.5(21.5 - 14)(21.5 - 11)(21.5 - 18)
=> √21.5 x 7.5 x 9.5 x 3.5
=> 73.2226911551 = Area of triangle
=> 73 cm² (Estimated)
Hoped this helped.
∠A and \angle B∠B are supplementary angles. If m\angle A=(8x-25)^{\circ}∠A=(8x−25) ∘ and m\angle B=(7x-5)^{\circ}∠B=(7x−5) ∘ , then find the measure of \angle B∠B.
An38
Step-by-step explanation:
The measure of angle B is 93°
Here,
∠A and ∠B are supplementary angles.
∠A = (8x - 25)° and ∠B = (7x - 5)°
We have to find ∠B.
What are Supplementary angles?
Two Angles are Supplementary when they add up to 180 degrees.
Now,
∠A and ∠B are supplementary angles.
Hence, ∠A + ∠B = 180°
Here, ∠A = (8x - 25)° and ∠B = (7x - 5)°
Put in above equation we get;
(8x - 25)° + (7x - 5)° = 180°
15 x - 30 = 180
15 x = 210
x = 14
So, Measure of ∠B = (7x - 5)° is;
∠B = (7x - 5)° = ( 7 * 14 - 5) = 98 - 5 = 93°
Hence, The measure of angle B is 93°.
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Perpendicular to y = 1/2x + 2, passing through (1,3)
y=-2x this is answer.
Step-by-step explanation:
. .
Answer:
x + 2y -7 = 0
Step-by-step explanation:
The given line to us is ,
=> y = 1/2x + 2
On comparing to slope intercept form of the line ,
m = 1/2As we know that the product of slopes of two perpendicular lines is -1. Hence ,
m_perp = -2 .Given point is (1,3) . Using point slope form ,
x - 1 = -2( y -3) x -1 = -2y +6 x +2y -1 -6 = 0x + 2y -7 = 0Jada has 12 library books checked out and Han has 13less than that. How many books does Han have checked out?
Answer:
0
Step-by-step explanation
12-13 = -1, so Han has zero books checked out.
Which graph passes the vertical line test?
A.
B.
C.
D.
Answer:
Graph C.
Step-by-step explanation:
The rest of the graphs fail the vertical line test. This means some inputs (x values) contain more than one output (y value).
Answer:
C
Step-by-step explanation:
If a vertical line intersects the graph in some places at more than one point, then the relation is NOT a function.
answer choices A, B, and D intersect at more than one point vertically. Therefore, C is the correct answer.
Mario zombie walks at a rate of 2 miles per hour looking for a brainy snack. If it looks 514 hours, how many miles will it walk?
Answer:
1,028 miles
Step-by-step explanation:
multiply 514 by 2
Answer:
1028
Step-by-step explanation:
You just times 514 by two, because if it took 514 hours and every hour he goes 2 miles he would have went 1028 miles. :)
a 6-pack of undershirts cost $13.98 this $3.96 less than the cost of buying 6 individual shirts. if each undershirts costs the same amount, how much does each undershirts cost when purchased individually
Answer:
Each undershirt costs $2.99 when purchased individually.
Step-by-step explanation:
The problem says that $13.98 is $3.96 less than the cost of buying 6 individual shirts which means that the total cost of buying 6 individual shirts is $17.94.
To find the price of 1 individual shirt, you divide 17.94 by 6. When you do this, you get $2.99. $2.99 is the cost of each undershirt when purchased individually.
Hope this helps!
evaluate the expression if x=9 and y=2
5x+y
please hurry multiple choice question
Options: 19, 45, 47, and 61
WILL MARK BRAINLIEST
Answer:
47
Step-by-step explanation:
x=9 y=2 5x+y= so you need to multiply x (9) by 5 9x5= 45 45+2=47
Whats (8x+10) please help me T-T
Answer:
18x
Step-by-step explanation:
8·x=8x+10=18x
Suppose that a loan of $4500 is given at an interest rate of 12% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
(b) Find the amount owed at the end of 2 years.
si]
X
$
?.
The required solutions are as
(a) The amount owed at the end of 1 year is $ 5,040.
(b) The amount owed at the end of 2 years is $5644.8.
As mentioned in the question, a loan of $4500 is given at an interest rate of 12% compounded each year.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here
(a)
The amount owed at the end of 1 year
= 4,500 × 12/100
= 540
Amount = 540+4,500
= $5,040
(b)
The amount owed at the end of 2 years
= 5,040 × 12/100
= 604.8
Amount = 5040 + 604.8
Amount = $5644.8
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