Answer:
[tex]f(x)\div g(x)=x-10[/tex]
Step-by-step explanation:
[tex]\frac{x^2-19x+90}{x-9}[/tex]
[tex]\frac{(x-10)(x-9)}{x-9}[/tex]
[tex]x-10[/tex]
Answer:
[tex]f(x)\div g(x)=-10[/tex]
Step-by-step explanation:
Solve [tex]f(x)[/tex]
[tex]f(x)=x^2-19x+90[/tex]
[tex]x^2-19x+90[/tex]
[tex]\mathrm{Break\:the\:expression\:into\:groups}[/tex]
[tex]\left(x^2-9x\right)+\left(-10x+90\right)[/tex]
[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-9x[/tex]
[tex]=x(x-9)[/tex]
[tex]\mathrm{Factor\:out\:-10\;from}\:\:-10x+90[/tex]
[tex]=-10(x-9)[/tex]
[tex]=x\left(x-9\right)-10\left(x-9\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x-9[/tex]
[tex]\bold{\left(x-9\right)\left(x-10\right)}[/tex]
Solve [tex]g(x)[/tex]
[tex]g(x)=x-9[/tex]
[tex]\bold{x-9}[/tex]
[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]
Now, solve:
[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]
[tex]=\frac{(x-9)\left(x-10)}{:x-9}[/tex]
[tex]= -10[/tex]
Therefore, [tex]f(x)\div g(x)=-10[/tex]
A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?
A) 2 inches and 36 inches
B) 4 inches and 18 inches
C) 8 inches and 9 inches
D) 11 inches and 11 inches
IT IS NOT D, I TRIED IT AND IT DOESNT WORK!
or, l + b = 22
or, b = 22 - l ...(i)
We know, area of a rectangle = lbTherefore,lb = 72Putting (i) in b, we getl(22 - l) = 72or, 22l - l^2 -72 = 0
or, l^2 - 22l + 72 = 0
or, l^2 - 4l - 18l + 72 = 0
or, l(l - 4) - 18(l - 4) = 0
or, (l - 4)(l - 18) = 0
or, l = 4 or l = 18
Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.Answer:
B) 4 inches and 18 inches.
Hope you could get an idea from here.
Doubt clarification - use comment section.
You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose mixture is more acidic?
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Answer:
You:If it’s was 6 cups of citric I’d be to 32 water
Your friend: if it was 4 cups it’d be 12 water
Step-by-step explanation:
I believe your friends is more acidic because your Is being diluted more
What is the coefficient in this expression? (34mn)
34
3
n
4
The coefficient in this expression is 34.
The first option is the correct answer.
What are variables and coefficients?The variable can have any value. That is, you can change the value of the variable. The value of the coefficient does not change, but changes in the value of the variable can change the value of the term containing the variable and the coefficient.
In formulas, coefficients are constants that are multiplied by variables. Consider the following equation: 3 x 2 + 5x-3 = 0. ax3 + x 2 = z. The values 3 and 5 in the first equation are the coefficients of the variable x.
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Brienne stated that 0.33 and
1/3 are equivalent. Do you agree? Explain why or why
not.
Answer:
it is not
Step-by-step explanation:
0.33 is rounded off whereas 1/3 would have a continued decimal of 3, i.e. 0.333333333
that was sooo good !
Which polynomial is prime? x4 3x2 â€"" x2 â€"" 3 x4 â€"" 3x2 â€"" x2 3 3x2 x â€"" 6x â€"" 2 3x2 x â€"" 6x 3.
The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.
Check all the options in order to determine the given polynomial is prime or not.
A) [tex]x^4+3x^2-x^2-3[/tex]
Now, try to factorize the above polynomial.
[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
B) [tex]x^4-3x^2-x^2+3[/tex]
Now, try to factorize the above polynomial.
[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
C) [tex]3x^2+x-6x-2[/tex]
Now, try to factorize the above polynomial.
[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
D) [tex]3x^2+x-6x+3[/tex]
The given polynomial is not factorized further therefore, this polynomial is is a prime.
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Help me with my math work please! Whoever helps gets 50 points! Thnx!
Answer:
6) y=-2
7) w=15
8) x=1
Tom and Jimmy plan to leave at the same time from home and
walk towards each other. Tom walks 52 meters per minute, Jimmy
walks 70 meters per minute. The two meet at cafe shop on the
way. Let's suppose that Tom leaves 4 minutes earlier than Jimmy
and their speeds remain the same, the two will still meet at the
cafe shop. What is the distance between Tom and Jimmy's home?
To find the distance between the homes of Tom and Jimmy, it is assumed
that the distances from their home to the café are equal.
The distance between Tom and Jimmy's home is [tex]\underline{1,617.\overline 7 \ meters}[/tex]Reasons:
The direction in which Tom and Jimmy walks = Towards each other
The speed at which Tom walks = 52 meters per minute
The speed with which Jimmy walks = 70 meters per minute
The time at which Tom leaves = 4 minutes earlier than Jimmy
The point at which they meet = The café
The rate of their speed = Constant
Required:
The distance between Tom and Jimmy home.
Solution:
Tom and Jimmy had a plan to walk at the same speed and meet up at the café.
We have;
The café is equal distance from Tom and Jimmy's houses.
Which gives the following simultaneous equation.
52 × (4 + t) = The distance of Tom's house from the café
70 × t = The distance of Jimmy's house from the café
52 × (4 + t) = 70 × t52 × 4 = 70 × t - 52 × t = 18 × t
[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]
The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes
The distance between their homes, d = 52 × (4 + t) + 70 × t
∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]
The distance between Tom and Jimmy's home = 1,617.[tex]\overline 7[/tex] metersLearn more about simultaneous equations here:
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What are the factors of the trinomial 3x^2 + 16x + 5? Show your work analytically
Answer:
3x+1 and x+5 are the factors
Step-by-step explanation:
Here's the slide-and-divide method to find the factors:
[tex]3x^2+16x+5[/tex]
[tex]\frac{3x^2}{3}+16x+5(3)[/tex]
[tex]x^2+16x+15[/tex]
[tex](x+1)(x+15)[/tex]
[tex](3*x+1)(x+\frac{15}{3})[/tex]
[tex](3x+1)(x+5)[/tex]
Complete the sentence.
Twenty-seven is % of 60.
Answer:
45 percent
Step-by-step explanation:
Have an awesome day!
Can someone plz help me?
Answethe answer is 12
Step-by-step explanation
Answer:
13 i think
Step-by-step explanation:
if x is 4 and you div then it become 3 then you square the other 3 thats 9 then you add and boom its 13
Kenny has a bag of marbles. The bag contains 8 red marbles, 5 blue marbles, and 2 yellow marbles. He will randomly select 1 marble from the bag. What is the probability Kenny will select a blue marble?
helppppppppppppppppppp
Answer:
B. a×1
Step-by-step explanation:
This is because a×1 gives a result of a thus,a multiplying the identity element of multiplication
you are taking a typing class and can now type 30 words er minute. set up a proportion to solve for the amount of time it would take you to type 400 words
Time needed to type 400 words is 13.3 minutes.
What is unit rate?A unit rate means a rate for one of something.
Given that, you are taking a typing class and can now type 30 words per minute.
For 30 word, you need 1 minute.
Let you need x minutes for 400 words,
Therefore, the proportion will be,
1/30 = x/400
x = 400/30
x= 40/3
x = 13.33333 ≈ 13.3
Hence, you need 13.3 minutes to type 400 words.
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May I please receive help?
Answer:
a = 19.6 (rounded to the nearest tenth)
Step-by-step explanation:
a^2 + b^2 = c^2
Hypotenuse - 35 m, Legs - 29 m, x
a^2 +29^2 = 35^2
a^2 + 841 = 1225
Subtract 841 from both sides
a^2 = 384
Square root both sides
√a^2 = √384
a = 19.595
Express 0.16 bar as a rational number
Solución
10x-3x=11+10
Answer: x=3
Step-by-step explanation:
my Christmas present to you
and have a happy new year!
Solve for x. 7x+8>4x+4
Hence, the inequality is x > -4/3.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
x > - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
7x + 8 > 4x + 4 ( subtract 4x from both sides )
3x + 8 > 4 ( subtract 8 from both sides )
3x > - 4 ( divide both sides by 3 )
x > - [tex]\frac{4}{3}[/tex]
What is the next term of the geometric sequence?
108, 36, 12,
Pls lmk
Answer:
4
Step-by-step explanation:
Answer: 4
Step-by-step explanation: 108/3 is 36, 36/3 is 12, and 12/3 is 4. :)
The shortest side of a right triangle measures 16 m. The lengths of the other two sides are consecutive . Find the lengths of the other two sides.
Answer:
this is hard
Step-by-step explanation:
Helena is planning to put new tile on her kitchen floor, the
dimensions of which are given above. Find the area, in square
feet, of the kitchen floor.
A. 58
B. 31,680
C. 356
D. 276
Answer: B
Step-by-step explanation:
7/8 minus1/4 minus 1/2
7/8 minus1/4 minus 1/2
7/8 - 1/4 - 1/2 =
(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =
7/8 - 2/8 - 4/8 =
(7 - 2 - 4)/8 =
1/8
the answer is 1/8
P(x)=3x 4 −2x 3 +2x 2 −1P, left parenthesis, x, right parenthesis, equals, 3, x, start superscript, 4, end superscript, minus, 2, x, cubed, plus, 2, x, squared, minus, 1 What is the remainder when P(x)P(x)P, left parenthesis, x, right parenthesis is divided by (x+1)(x+1)left parenthesis, x, plus, 1, right parenthesis?
The remainder when the polynomial is divided by x + 1 is 2
Given the function P(x)=3x^4 −2x^3 +2x^2 −1, to get the rmainder if the polynomial is divided by x + 1, we will substitute x = - 1 into the function to have:
P(-1) = 3(-1)^4 −2(-1)^3 +2(-1)^2 −1
P(-1) = 3(1) - 2 + 2(1) - 1
P(-1) = 1 + 1
P(-1) = 2
Hence the remainder when the polynomial is divided by x + 1 is 2
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Answer:
6
Step-by-step explanation:
:)
Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged
The different programs (in terms of order) that can be arranged is 120 different ways
Since we are dealing with arrangements, this is a permutation problem.
If there are three bands and two comics performing at a show, the total band will be 5 bands
The number of different programs that can be arranged will be 5!
5! = 5 * 4 * 3 * 2
5! = 60 * 2
5! = 120 ways
Hence the different programs (in terms of order) that can be arranged is 120 different ways
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Jose has scored 854 points on his math tests so far this semester. To get an A for the semester, he must score at least 876 points.
Answer:
It is 22
Step-by-step explanation:
Ned had 76 boxes. together the boxes weighed 723 kilograms. About how much did each box weigh
Answer: ~9.51 kilograms each.
Step-by-step explanation: 723/76=9.5131
3.52 in expanded form
Step-by-step explanation:
3.52 =
3
+ 0.5
+ 0.02
hopes this helps you
A bird flies down from a higher elevation to a lower elevation at a rate of 3 meters per second. Which equation models the bird's change in elevation, in meters, after 120 seconds?
O A. (-120)(-3) = -360
O B. 120. 3 = 360
O C. 120(-3) = 360
O D. 120(-3) = -360
No links please
Answer:
D
Step-by-step explanation:
Answer: The answer is 120(-3)= -360
Step-by-step explanation:
A. P. E. X.
ASAPPPP HELPPPP PLEASEEEE
Answer:
27.6
Step-by-step explanation:
sin29=x/57
0.48480962=x/57
x≈27.6