Answer: [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex] which is the same as [tex]\frac{x^2+3x-4}{x^2+6x+8}[/tex]
If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)
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Explanation:
We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.
Multiply top and bottom of this given fraction by (x+4) to get [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex]
Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion [tex]x \ne -4[/tex] sticks around to make sure the domains line up properly.
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Optionally you can expand out each product in the numerator and denominator to get
(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4
(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8
I used the FOIL rule
So, [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)} = \frac{x^2+3x-4}{x^2+6x+8}[/tex]
On a compass, what bearing is South East?
write a rule for the nth term of the sequence 15, 19, 23, 27
Answer:
aₙ= 4n+11
Step-by-step explanation:
the sequence 15, 19, 23, 27
is AP with the first term 15 and
the common difference 19-15=23-19=27-23= 4
aₙ= a₁+(n-1)d
aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11
aₙ= 4n+11
Solve 5 + x - 14 = x - 7
Answer:
No solution
Step-by-step explanation:
5+x-14=x-7
-9+x=x-7
2+x=x
2=0
No solution
Please answer I need help no rush.
Answer:
12 divided by -6
Step-by-step explanation:
12÷(-6) (3) + (-2)
PEMDAS
P There are no operations inside the parentheses
E There are no exponents
MD Multiply and divide from left to right
12 divided by -6 is the first from left to right
I’ll mark you brainliest help!!! Which function is increasing?
Answer:
the answer is D. have a nice day :)
What is the measure of the supplementary angle of the 65˚ angle?
A.50˚
B.40˚
C.130˚
D.310˚
Answer:
115
Step-by-step explanation:
When two angles are supplementary, their measures must add up to 180 degrees. Therefore, if we call the other angle x:
x+65=180
x=180-65=115 degrees
Hope this helps!
Answer:
None of them
Step-by-step explanation:
Supplementary angles have 180 degrees
50+65=115
40+65=105
130+65=185
310+65=375
The graph represents Daniel's bike ride from his home to the ballpark and then back home. Which BEST describes Daniel's bike ride between points C and D?
The time Daniel spent gradually speeding up
the time daniel spent gradually slowing down.
Daniel's fastest rate of speed during his ride.
The time Daniel spent at the ballpark.
the slope of the line between c and d are a constant meaning that he must have been riding at the same speed or something
d
Answer:
On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.
Stefani took a science test. she answered 42 questions correctly. There were 50 questions on the test. What percent of the questions did she get right?
Answer:
She get 84% right
Step-by-step explanation:
42 x 2 = 84
50 x 2 = 100
Answer:
84%
this is the picture of how I solved it.
hope you understand.
URGENT!!! A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c for child
a for adult
4c+ 6a ≤ 120 for build
4c +4a ≤ 100 for test
We want 20 child and 6 adult
4(20)+ 6*6 ≤ 120
80+36 ≤ 120
116 ≤ 120 true for build
4*20 +4*6 ≤ 100
80+24 ≤ 100
104 ≤ 100
False for test
Answer:
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Please help please :( I will really appreciate it thank you
Answer:
an Altitude
Step-by-step explanation:
Its altitude indicated by point A to line BC
Answer:
Im pretty sure that would be an altitude
Step-by-step explanation:
What is the solution to this system of linear equations? x + y = 4 x − y = 6 (4, 6) (6, 4) (5, −1) (−1, 5)
Answer:
x= 4 y = -1
(5,-1)
Step-by-step explanation:
x + y = 4 x − y = 6
Add the two equations together to eliminate y
x + y = 4
x − y = 6
---------------
2x = 10
Divide by 2
2x/2 = 10/2
x = 5
Now find y
x+y = 4
5+y = 4
Subtract 5 from each side
5+y-4 = 4-5
y = -1
Answer
5,-1
Step-by-step explanation:
edg 2020
fully Factorise 7m^2 + 13m
Answer:
[tex]m(7m + 13)[/tex]
Step-by-step explanation:
[tex]7m {}^{2} + 13m \\ m(7m + 13)[/tex]
a factor of 30 is chosen at random, what is the probability that the number has 2 digits?
Answer:
3/8
Step-by-step explanation:
Let's first start by figuring out all the factors of 30.
They are as follows: 1, 2, 3, 5, 6, 10, 15, 30
30 has 8 factors in total.
3 of the factors have 2 digits.
Probability is number of desired outcomes/number of total outcomes.
We have 3 desired outcomes and 8 total outcomes.
Therefore, the probability that the factor chosen at random will have 2 digits is 3/8.
True or false All irrational numbers are real numbers. Explain
In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers. Irrational numbers can also be expressed as non-terminating continued fractions and many other ways.
The answer is True
The statement that all irrational numbers are real numbers is true.
Real number is a union of rational number and irrational numbers.
An irrational number is a number that cannot be expressed as a fraction or ratio of two integers. All the root values, repeating values, comes under irrational numbers.
Since irrational numbers can still be plotted on the number line, they are considered real numbers. Therefore, all irrational numbers are also real numbers.
Thus, all irrational numbers are also real numbers.
Yes, the given statement is true.
Learn more about irrational numbers here:
https://brainly.com/question/17450097
#SPJ6
if MNL is congruent to TUS, then NL is congruent to ?
Answer:
NL is congruent to US.
Answer:
d. NL ≅US
Step-by-step explanation:
ΔMNL ≅ ΔTUS
follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS
Hey so im really confused on how to rewrite problems into radical form, so I was wondering if anyone would be able to show me how to do It step by step?
Answer:
Step-by-step explanation:
Ok so, I'll try to make this explanation super simple for you.
The denominator will always go on the outside and the numerator will be on the inside. Let me give you an example.
Take x^2/3. The answer will be 3√(x^2). Do you see how the 3 is on the outside and the 2 is on the outside?
Take p^4/5. The answer will be 5√(p^4).
I hope this gives you a clear understanding.
1:750 scale model of the Sydney Opera House after a trip to Australia. The length of the model is 24.4 centimetrers. Find the actual length x (in meters) of the Sydney Opera House.
Answer:
183 meters
Step-by-step explanation:
A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:
[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]
The actual length of the Sydney Opera House is 183 m.
Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$4
Step-by-step explanation:
Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!
Factor 12x−54 using the GCF.
Answer:
6(2x-9)
Step-by-step explanation:
The two numbers in question are both even, so we can see that we can pull out 2, giving us:
2(6x -27)
Looking at this, we can see that we can no longer pull out 2, but we can pull out 3, giving us:
6(2x-9)
This can be simplified no further, so this gives us the final answer, where the GCF is 6.
3w + 4u - 6
Simplify
Step-by-step explanation:
There are many different ways to simplify this. It could be
3(w-2)+4u , 2(2u-3)+3w , or something else.
Simplify
(2 Points)
2a xa x 3a + b x 45
Answer:
[tex]6a^3+45b[/tex]
Step-by-step explanation:
[tex]2a\times a\times 3a+b\times 45[/tex]
[tex]2a\times 1a\times 3a+b\times 45[/tex]
[tex]2\times 1\times 3 \times a \times a \times a+b\times 45[/tex]
[tex]6a^3+b \times45[/tex]
[tex]=6a^3+45b[/tex]
Answer:
6a^3 + 45b
Step-by-step explanation:
=2a × a × 3a + b × 45
=2a × 1a × 3a + b × 45
=2 × 1 × 3 × a × a × a + b × 45
=6a^3 + b × 45
= 6a^3 + 45b
What is the quotient of y/4 divided y/8
Answer:
2
Step-by-step explanation:
when you divide fraction, you flip the second fraction and change to multiply
y/4 *8/y =8/4 =2
Answer:
2
Step-by-step explanation:
[tex]\frac{y}{4}[/tex]÷[tex]\frac{y}{8}[/tex]
= [tex]\frac{y}{4}[/tex] × [tex]\frac{8}{y}[/tex]
= [tex]\frac{8y}{4y}[/tex]
= 2
Hope this helps <_>
-5/3 x(-1/8)weurEzzrtx
Answer:
-5/3 x (-1/8 )= 5/24 = 0.2083333
Step-by-step explanation:
Can someone pls help me with this?
What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)? Help please☹
Answer:
y=3/4x+17/4
Step-by-step explanation:
Answer:
y = (3/4)x + 17/4
Step-by-step explanation:
The slope-intercept form of the equation of the line is y = ax + b
This line passes (-3, 2) and (1, 5)
=> 2 = a(-3) + b
=> 5 = a(1) + b
Subtraction 1st equation from 2nd equation, we have:
3 = 4a
=> a = 3/4
From 2nd equation, we have: 5 = 3/4 + b
=> b = 5 - 3/4 = 17/4
=> y = (3/4)x + 17/4
Hope this helps!
5. A square room is covered by a number of whole rectangular slabs of sides 60cm and
42cm.
a) Find the area of the slab.
(2 marks)
A plumber charges $70 per hour plus $40 for the call. What does he charge for 4 hours of work? Use x to represent the hours of work.
Answer:
Step-by-step explanation:
70x4 is 280 plus 40 is 320.
Answer:
$320
Step-by-step explanation:
(4 x $70) + $40 is the equation
$280 + $40 = $320
$320
Need help fast
(X-5)^2+11=20
Answer:
X= 8, 2
Step-by-step explanation:
So, to solve answers like these you have to have to take the root of both sides and then solve. Please let me know if you have any questions or if I did not answer it correctly or misunderstood the question so that I can help correct my mistakes. Hope this helps!!
Answer:
Answer: (x-2) • (x-8)
(X-5)^2+11=20
Step by Step explanation:
1. 1 • 16 = 16
2. Find two factors of 16 which will be -10
-16 + -1 = -17
-8 + -2 = -10
3. x2 - 8x - 2x - 16
4. x • (x-8)
2 • (x-8)
5. (x-2) • (x-8)
(((( Yo Welcome)))
Find any 6 ratinol numbers between -5/6 and 5/8
Answer:
There is a variety of answers. you will find an example below
Step-by-step explanation:
To find the rational numbers between 2 fractions/rational numbers, we have to find the LCM of the denominator, which would increase the value of the numerator. This way you will have more rational numbers between the two.
- 5/6 = -40 / 48
5 / 8 = 30 / 48
Now, we can notice that there is a difference of 70 between the 2. this means you may choose 6 out of these. Here is an example(some of them are simplified)
5/16, 5/8, 7/48 , 1/6 , 2/6, -1/2.
Hope this helps
What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 2 and one-fourth 2 and three-fourths 3 and one-third 3 and two-thirds
Answer:
2 and three-fourthsStep-by-step explanation:
Given the expression [tex]\frac{11}{12}/\frac{1}{3}[/tex], the equivalent expression can be gotten as shown;
[tex]= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\ = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}[/tex]
2 and three-fourth therefore gives the required expression
Answer:
2 and three-fourths
Step-by-step explanation:
Given the expression , the equivalent expression can be gotten as shown;
Step-by-step explanation: