Answer:
[tex]\frac{x+6}{x-1}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2-3x-54}{x^2-10x+9}[/tex] ← factorise both numerator and denominator
= [tex]\frac{(x-9)(x+6)}{(x-9)(x-1)}[/tex] ← cancel (x - 9) on numerator/ denominator
= [tex]\frac{x+6}{x-1}[/tex] ← x ≠ 1
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[tex] \frac{ {x}^{2} - 3x - 54 }{ {x}^{2} - 10x + 9 } = \frac{(x - 9)(x + 6)}{(x - 9)(x - 1)} = \frac{x + 6}{x - 1} \\ [/tex]
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Solve 5a/7=25 the solution for a is
Answer:
35 is the answer
*multiply both sides by 7. This leaves you with 5a=175. Then divide both side by 5. Leaving you with a=35
Answer:
[tex]a=35[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{5a}{7} =25[/tex]
To find the answer we need to isolate variable in order to find the value of a we are going to have to use inverse of operations to isolate the variable.
[tex]\frac{5a}{7} =25[/tex]
[tex]7\times0=0[/tex]
[tex]25\times7=175[/tex]
[tex]5a=175[/tex]
[tex]\frac{5a}{5} =a[/tex]
[tex]175\div5=35[/tex]
[tex]a=35[/tex]
Your answer is "a = 35."
Hope this helps.
Simplify the radical - 160
Hello please help me geometry :)
Answer:
[tex]the \: hieght \: of \: the \: trapazium \: \\ is \: 2.5 \: inches[/tex]
What is the domain of this graph
put in final form (only the awnser)
4/5 + 3 1/10 ASAP plsssss
Answer:
3 9/10
Step-by-step explanation: change 4/5 to 8/10 and then add. pls give brainiest thanks :D
Determine whether or not the function is continuous for the given values of X.
f(x) = x^2-25/x-7 :x=0, x=7,x= -5
Is the function continuous at x=0?
a. Yes, the point is defined, limit f(x) exists, and limit f(x) 0. (Simplify your answer.)
x →c x →0
b. No, the function is not continuous at x=0 .
Answer:
A. Yes, the point is defined, limit f(x) exists, and limit f(x) 0.
Step-by-step explanation:
Let be [tex]f(x) = \frac{x^{2}-25}{x-7}[/tex], a rational function is continuous at a value of [tex]x[/tex] if and only if denominator is different from zero. In particullar, [tex]x-7 \neq 0[/tex].
Then, we find that function is continuous for every value of [tex]x[/tex] except [tex]x = 7[/tex]. Thus, the function is continuous at [tex]x = 0[/tex], which is evaluated below:
[tex]f(x) = \frac{(x+5)\cdot (x-5)}{x-7}[/tex]
[tex]f(0) = \frac{(0+5)\cdot (0-5)}{0-7}[/tex]
[tex]f(0) = \frac{(5)\cdot (-5)}{-7}[/tex]
[tex]f(0) = \frac{-25}{-7}[/tex]
[tex]f(0) = \frac{25}{7}[/tex]
Thus, correct answer is A.
i will give brainliest
Answer:
x =< 5
Step-by-step explanation:
We have to solve 2x + 3 <= 13
2x + 3 <= 13
=> 2x =< 13 - 3
=> 2x =< 10
=> x =< 5
Answer:
x > 8
Step-by-step explanation:
[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x+3-3 < -13-3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-2x < -16[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-2x\right)\left(-1\right) > \left(-16\right)\left(-1\right)[/tex]
[tex]\;Simplify[/tex]
[tex]2x > 16[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2} > \frac{16}{2}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x > 8[/tex]
[RevyBreeze]
24. Who spent the least amount of time on
homework?
IM BEGGING YOU GUYS ANSWER ASAP TIMED ASSIGNMENT
Answer:
i would say jon
Step-by-step explanation:
because he has the highest POSITIVE number but i need more info to be certain
If 106 people attend a concert and tickets for adults cost four dollars what ticket for a children cost $3.75 and total receipt for the concert was $414 how much of each went to the concert
Answer:
A = 66 adults, C = 40 children
Step-by-step explanation:
We can set up a system of equations to find how many adults and how many children attended the concert, with A representing the adults and C representing the children:
[tex]A + C = 106\\4A+3.75C=414[/tex]
We can use the elimination method and multiply everything in the first equation by -4
[tex]-4(A+C=106)\\-4A-4C=-424\\4A+3.75C=414[/tex]
Once we add the values together, we're left with:
[tex]-0.25C = -10[/tex], where solving for C gives us C = 40
We can plug C into the first equation to find A: [tex]A+40=106[/tex], where solving for A gives us A = 66
IS
75
how much
in kilometers)
Answer: 46.6 miles
Step-by-step explanation:
27. When can you say that the event is independent?
A. If the fact that A occurs does not affect the probability of B occurring.
B. If the fact that A occurs affect the probability of B occurring.
C. If the fact that events A and B can occur at the same time.
D. If the fact that events A and B cannot occur at the same time.
Answer:
A is the most appropriate answer.
Step-by-step explanation:
if the fact that A occurs does not affect the probability or possibility of B occurring.
An internet company charges $12 per gigabyte of data plus a monthly service charge of $18. Last month, Niki's bill was $78. Write an equation to find how many gigabytes of data Niki used last month.
Let x represent the number of gigabytes of data Niki used.
Multiply the number of gigabytes by the cost per gigabyte. Add the service charge and set it equal to the price of the bill.
Answer:
12x+18=78
Step-by-step explanation:
12x+18=78
-18 -18
12x=60
x=5
a mass of 37 and a kinetic energy of 925 make a graph to show details
Answer:
25
Step-by-step explanation:
Power-to-weight ratio is a calculation commonly applied to engines and mobile power sources to enable the comparison of one unit or design to another.
1 3/2 ÷ 5/2 equals what exactly
6th grade math I mark as brainliest
Answer:8
8 and its D
Step-by-step explanation:
hope it helps let me know if im wrong
Lori ran 4.63 miles last weekend and 5.876 miles this weekend. How many miles did she run in all?
Answer:
10.506
Step-by-step explanation:
its just adding and math lol- if u dont trust it look it at a calculator- hope this helped!!<3
What is the value of this expression when c= -4 and d= 10?
11 (3+2²)
to prepare for a party, Mark buys a small bunch of balloons for $6 and gift bags that cost $5.15 each. he spends a total of $72.95 on the balloons and a gift bag for each person he invited to his party- what is the number of person he invited?
Answer:
p=13
Step-by-step explanation:
let p = people
72.95=5.15p+6
-6
56.95=5.15
/5.15
p=13
Answer:
Equation:5.14x+6=72.95
Answer:13 people
Step-by-step explanation:
5.15x+6=72.95
-6 on both sides
5.15x=72.95
divide by 5.15 on both sides
x=13 people
Solve the following equation for b.
2 = Q + f/b
Answer:
b=[tex]\frac{f}{2-Q}[/tex]
Step-by-step explanation:
Consider this quadratic equation.
x + 2x + 7 = 21
The number of positive solutions to this equation is
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is
Answer:
Rounded to the nearest hundredth, is X=4.67
Step-by-step explanation:
What is the equation of a line that passes through the point(0, 3) and has a slope of 2
Answer:
the equation of a line that passes through the point(0,3) answer is 1.5
Step-by-step explanation:
a teacher wants to paint a wall wit a door in a classroim. the entire wall is a 12 ft by 10 ft rectangle, and the foor is a 3ft by 8ft rectangle
Answer:
The answer is 144 square feet.
Step-by-step explanation:
if you are trying to find the sum of the room, then you multiply 10 and 12 which equals 120 then you multiply 8 and 3 and that equals 24, then you add your two answers (120+24) and that equals 144 square feet.
Help me light get brainless ( math )
A circle, when using degrees, have 360 degrees. 1/360 of a circle can be calculated by multiplying the two numbers.
[tex]\frac{1}{360}*360=1[/tex]
Therefore, the answer for the question is
1/360 of a circle measure 1 degree
Need the value of a and the value of b
Please help me solve this basic log equation
Log3(1)=x
SOMEONE SOLVE IT PLEASE
Answer:
0
Step-by-step explanation:
pls help me with this question
Answer:
55.2° ...............................
What fraction of the Y10 students are girls? Give your answer in its simplest form.
Answer:
117/234 Whch is Y10 Girls/ All Y10 Students.
give one pair of supplementary angles and one pair of vertical angles showing in the figure below
Answer:
vertical angle can be 2 and 3. anything opposite from eachother. supplementry angles equal to 180 degrees. like 2 and 4
Step-by-step explanation:
Which number belongs to the solution set of the equation below?
X-18 = 17
Answer:
a. 35
Step-by-step explanation:
x - 18 = 17
x = 35
To solve the system of equations below, Chen isolated x2 in the first equation
and then substituted it into the second equation. What was the resulting
equation?
=
x2 + y2 = 16
² y²
运
4
= 1
25
O A. 16.my -
ОА
-
_y²
25
O B. Y? -16 2.1
4
25
O
O c. *? - 16-y2.1
H
4
25
OD. - 16 - 1
2 2
y? -
25
=
Answer:
50
Step-by-step explanation:
because chen isolated x2