The correct equations in the question are:
(a) [tex]\dfrac{x}{x^2+x-2}[/tex] (b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]
Answer:
Step-by-step explanation:
From above:
a) [tex]\dfrac{x}{x^2+x-2}[/tex]
We are to find the roots of the quadratic equation at the denominator.
i.e.
x²+x-2 = x² + 2x - x - 2
= x(x+2) - 1(x+2)
= (x -1 ) (x + 2)
Thus;
[tex]\mathbf{\dfrac{x}{x^2+x-2} = \dfrac{A}{x-1} + \dfrac{B}{x+2}}[/tex]
b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]
The quadratic equation roots can be calculated by finding two numbers that if we multiply then, we will get -54 and if we add or subtract them, we will get -3
x²-3x -54 = x² - 9x +6x - 54
= x(x-9) + 6(x-9)
= (x + 6) (x - 9)
[tex]\mathbf{\dfrac{6-x}{x^2-3x-54} = \dfrac{A}{x+6} + \dfrac{B}{x-9}}[/tex]
Check all apply 2x+2-9=5
Answer:
x=6
Step-by-step explanation:
2x=12 simplify and subtract
x=6
1. If 27.4578 is increased by 9.3456, what is the answer?
A. 36.8124
B. 35.8024
C. 36.8034
D. 35.8124
Answer:
36.8034
not sure.....
Find the area of each square. Each grid square represents 1 square unit.
Ise9urgyobrhrstbydfdsfwefwefsdfewfds
MArking people as BRAINLIST only answer if you know
Answer:
Quad 4!
Hope I helped!
~PumpkinSPice1
$75 jacket: 5% markup
Answer:
75*1.05 = $78.75
Step-by-step explanation:
You can just multiply by 1.05 or go the long route and divide by 100 and multiply by 105.
write the slope intercept
Answer:
b = 4,
m = 4/3,
y = 4x/3 + 4
Step-by-step explanation:
We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:
[tex]y = mx+b[/tex]
We can substitute the points we know:
→ (0,4):
[tex]y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}[/tex]
→ (-3,0):
[tex]y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}[/tex]
So, the line equation in form requested is:
[tex]\boxed{y=\dfrac{4}{3}x+4}[/tex]
A school district wants to find out why dropout rates were lower at some schools rather than others. What statistical approach would be most appropriate?A) A regression with dropout rates as the independent variableB) A regression with dropout rates as the dependent variableC) A hypothesis test with a null hypothesis that the dropout rate is more than the highest dropout rateD) A confidence interval with the expected dropout rate as the meanE) A hypothesis test with a null hypothesis that the dropout rate is less than or equal to the highest dropout rate
Answer:
E) A hypothesis test with a null hypothesis that the dropout rate is less than or equal to the highest dropout rate
Step-by-step explanation:
The hypothesis test is the type of test that helped a scientist to determine the relationship between two variables-one constant independent variable and an dependent variable. For the dropout rates in the different schools, it would be better to use the hypothesis test for the evaluation.
What is the remainder when 19x^2 + 15x + 12 is divided by x - 2?
Answer:
R = 118
Step-by-step explanation:
Given
Represent the polynomial with P and the divisor with D
[tex]P = 19x^2 + 15x + 12[/tex]
[tex]D = x -2[/tex]
Required
Determine the remainder
We start by equating the divisor to 0
i.e.
[tex]D = 0[/tex]
[tex]x - 2 = 0[/tex]
[tex]x = 2[/tex]
Substitute 2 for x in the polynomial.
This gives remainder (R)
[tex]R = 19*2^2 + 15*2 + 12[/tex]
[tex]R = 19*4 + 15*2 + 12[/tex]
[tex]R = 76 + 30 + 12[/tex]
[tex]R = 118[/tex]
Hence, the remainder is 118
A group of 10 friends are in line to see a movie. It cost $15 for 3 people to see a movie. How much will the group pay?
Answer:
50
Step-by-step explanation:
15/3=5
5*10=50
A teacher had 52 boxes of chocolates with 34 pieces of
chocolate in each box. She wanted to give them to 26 girls and
to 32 boys. Each girl got 36 pieces of chocolate. How many
pieces of chocolate did each boy get?
__ pieces of chocolate
Answer:
each boy will get 26 pieces of chocolate
Answer:
The boys got 26 pieces of chocolate (gender inequality, lol)
Step-by-step explanation:
52 x 34 = 1768
26 x 36 = 936
1768 - 936 = 832
832/32 =
26There’s your answer crack
Answer:
cool
Step-by-step explanation:
Answer:
what?
Step-by-step explanation:
vfgchgcbgjvygfcb
Why can prime number be a multiple of any other number except itself
Answer:
the factors of prime numbers are only 1 and itself
Answer:
A factor number can only be divided by itself or 1 meaning it cant be a factor anything more than that.
Step-by-step explanation:
A university president proposed that all students must take a course in ethics as a requirement for graduation. Three hundred faculty members and students were asked about their opinion on this issue. Find the probability that if one person is selected at random, from these 300 persons, this person is a faculty member or is in favor of this proposal.
You did not add the attachment for this question to be answered. I have added it
Answer:
0.5333
Step-by-step explanation:
We have
P(faculty) to be the probability of faculty being selected
= 70/300
= 0.233333333
We also have
P(favor) to be the probability of being in favor of this proposal
= 135/300
= 0.45
In answer to this question,
The required probability
= P(faculty) + p(favor) - p(faculty n favor)
p(faculty n favor) = 45/300
= 0.15
Probability = 0.233333333 + 0.45- 0.15
= 0.5333 approximately
The data below shows the duration of eruption (in seconds) of a geyser in a national park and the height (in feet) of the eruptions for a typical day. Use Excel to find the best fit linear regression equation, where duration of eruption is the explanatory variable. Round the slope and intercept to one decimal place.Duration Height240 140237 154122 140267 140113 160258 140232 150105 150186 160248 155243 125241 136214 140114 155272 130227 125237 125238 139203 125270 140218 140226 135250 141245 140120 139267 110103 140270 135241 140239 135Provide your answer below:y = _x + _
Answer:
ŷ = -0.08522X + 157.7779
The slope = - 0.1
Intercept = 157.8
Step-by-step explanation:
Given the data :
Duration __ Height
240 140
237 154
122 140
267 140
113 160
258 140
232 150
105 150
186 160
248 155
243 125
241 136
214 140
114 155
272 130
227 125
237 125
238 139
203 125
270 140
218 140
226 135
250 141
245 140
120 139
267 110
103 140
270 135
241 140
239 135
General regression equation :
y = mx + c
Where
y = predicted variable
x = predictor / explanatory variable
m = slope or gradient
c = Intercept
The regression equation obtained ;
ŷ = -0.08522X + 157.7779
To one decimal place :
ŷ = -0.1X + 157.8
The slope = - 0.1
Intercept = 157.8
6
Given the table below, tell the domain and range.
ON
x
y
0
-1
2
0
4.
1
6
Ok, this one is really easy your domain is all the x values and the range is all of the y values.
Thus, here is your answer...
Domain → { -2, -1, 0, 1 }
Range → { 0, 2, 4, 6 }
The rate of 225 mi in 7 hr written as a unit rate
Answer:
32.14 an hour
Step-by-step explanation:
Answer:
32.142857 miles per hour
Step-by-step explanation:
This is the answer because:
This is a fraction equal to
225 miles ÷ 7 hours
We want a unit rate where 1 is in the denominator, so we divide top and bottom by 7 .
225/7 = 225/7 and 7/7 = 32.142857/1
Therefore, the answer is 32.142857 miles per hour.
Hope this helps!
Write a word problem using "less than"
someone help
Answer:
Sandra had 500 beads in a jar, her sister, Dandra has 300 beads less than Sandra. How many beads does Dandra have?
:)
there are 120 calories in 2/3 cup. how many calories are in 1 cup?
Answer: 180
Step-by-step explanation: If of a 2/3 of a cup is 120 then 1/3 of a cup is 60. if 1/3 is 60 the 1 cup is 180.
For the following quadratic equation, find the discriminant.
-x^2 + 20x -126 =5
i need help please
Answer:
d=-124
Step-by-step explanation:
To find the discriminant use the equation b^2-4ac
So, 20^2-4(-131)(-1)
400-524= -124
d=-124
Please answer it I will wait to see for brainliest
Answer:
D
Step-by-step explanation:
Answer:
ok so the odd one out is A) the measure of <ahd is 30°
Step-by-step explanation:
external angle is equal to the sum of the two interior angles on the opposite side
3x= x +15 +x +15
3x=x+x+15+15
3x= 2x +30
3x-2x= 30
x = 30
Sharise Brody folds and glues corrugated cardboard boxes at the rate of $0.57 per box. If she averages 40 boxes per hourhow much is her average hourly pay?
Answer:
she makes $22.80 a day
Step-by-step explanation:
since she makes $0.57 per box and averages at 40 boxes a day, we multiply 40 and 0.57. 40 x 0.57 = 22.8, or $22.80.
hope this helped!
A $250 suede jacket is on sale for 20%off how much should you pay for the jacket
Answer: $ 200
Step-by-step explanation:250 * 0.20 = $50 sale
250 - 50 = $200
please help, i need the answer soon
Answer: c
Step-by-step explanation:
Answer:
the answe is a
Step-by-step explanation:
Evaluate 5x ( x - 3 ) when x = 10
Answer:
470
Step-by-step explanation:
Replace x with 10: 470
5(10)(10 - 3( = 500 - 30 = 470
470
-3 = 5 - 4x in algebra tiles
CAN YOU PLEASE HELP ME WITH THIS );
Answer:
Across
5 across: percent of change
6. Ratio
7. Decrease
Down.
1. Percent
2 interest
3 proportion
4 sales tax
Step-by-step explanation:
Set up an equation and solve for x
Answer:
x=22
Step-by-step explanation:
3x+3+27+x+3+2x+18=180
6x+48=180
6x=132
x=22
PLEASEEE HRLPPPPPHELPPP PLEASEE :(((
Answer:
it's either the 1st choice or 4th
Margaret prepared and cooked the food
for their Thanksgiving feast for 5 hours and
25 minutes. She started at the time shown
below. What time did she finish