Answer:
[tex]\dfrac{x^2+6x+-67}{2x^2-20x+42} = \dfrac{x^2+6x+-67}{2(x^2-10x+21)}[/tex]
Step-by-step explanation:
[tex]\dfrac{5}{x-3} + \dfrac{3}{x-7} +\dfrac{1}{2}[/tex]
In order to perform the sum, the denominator of the fraction must be the same.
So, it will be [tex]2(x-3)(x-7)[/tex]
Therefore,
[tex]\dfrac{5\cdot2(x-7)}{2(x-3)(x-7)} + \dfrac{3\cdot2(x-3)}{2(x-3)(x-7)} +\dfrac{(x-3)(x-7)}{2(x-3)(x-7)}[/tex]
[tex]\dfrac{10(x-7)}{2(x-3)(x-7)} + \dfrac{6(x-3)}{2(x-3)(x-7)} +\dfrac{(x-3)(x-7)}{2(x-3)(x-7)}[/tex]
[tex]\dfrac{10(x-7)+6(x -3)+(x-3)(x-7)}{2(x-3)(x-7)}[/tex]
[tex]\dfrac{10x-70+6x -18+x^2-10x+21}{2(x-3)(x-7)}[/tex]
[tex]\dfrac{-67+6x+x^2}{2(x-3)(x-7)}[/tex]
[tex]2(x-3)(x-7)= 2x^2-20x+42[/tex]
So,
[tex]\dfrac{x^2+6x+-67}{2x^2-20x+42} = \dfrac{x^2+6x+-67}{2(x^2-10x+21)}[/tex]
Find two numbers whose sum is 39 and the greater number exceeds the smaller one by 5
Given f(x) = -3x - 2, find the following:
a. f(3)
b. f(-1)
c. f(-2)
Answer:
Answer is f(3)
Step-by-step explanation:
i did test
-2-(x-3)=-4
What does x equal?
Answer:
x = 5
Step-by-step explanation:
-2 -(x-3) = -4
You have to switch the signs into their opposites when you have -(?)
-2 - x + 3 = -4 Add liked terms
-x + 1 = -4
- 1 - 1 Subtract 1 from both sides
-x = -5 Get rid of the negative in the x
/-1 /-1 Divide -1 from each sides
x = 5
which rule describes the transformation? picture below
Answer:
B) rotation 180 degrees about the origin
Step-by-step explanation:
Also, what do the words underneath D) say? I think the answer could also be a reflection across y = x.
Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell drove 122 miles to get to the park, and it took him 2 hours. Tisha drove 96 miles to get to the park, and it took her 1.5 hours. On average, how much faster did Tisha drive than Latrell?
Answer:
3 miles
Step-by-step explanation:
122/2 is 61
64 plus 32 is 96. 96/1.5 is 64 meaning that she goes 64 miles an hour.
so she goes 3 miles faster on average than latrell, with latrell going 61 an hour average and her going 64 an hour average
Answer:
Tisha is faster than Latrell by 3 miles/hour
just did the math
Is y=(x/3) an inverse or direct variation
Answer: y=x3 is a direct variation.
Step-by-step explanation:
a circle has a radius of 3.7ft what is the area of the circle 100 points
Answer:
A = 43.01
Step-by-step explanation:
To find the area of a circle use this formula
A=πr2"r" representing the radius
Plug in . .
A = π × 3.7² = 43.0084A = 3.14 × 13.69 = 43.0084Round
A = 43.01
Answer:
43.0 ft² (nearest tenth)
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{3.9 cm}\underline{Area of a circle}\\\\$A=\pi r^2 $\\\\where $r$ is the radius.\\\end{minipage}}[/tex]
Given:
r = 3.7 ftSubstitute the given radius into the formula for area:
[tex]\implies A= \pi (3.7)^2[/tex]
[tex]\implies A = 13.69\pi[/tex]
[tex]\implies A = 43.008403427644...[/tex]
Therefore, the area of the circle is 43.0 ft² (nearest tenth).
Quinton typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below? (50PTS)
Answer:
B- 20 yards
Step-by-step explanation:
First you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. Next you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.
Answer:
20
you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.
¿A cuál ecuación corresponde la expresión x=3?
Answer:
(8x − 2x ) + (−x − 2) = (5x − 3) − (4 −x ) a) Ecuación de Primer Grado. b)
Step-by-step explanation:
Answer:
Estas hablando espanol? Perdon, mio es muy malo. Piensa que la responder correcta es -x=-3.
Step-by-step explanation:
What value of x will make the equation true?
(square root of 5) (square root of 5)=x
please help me :)
When the quotient property of exponents is applied, which operation is used to simplify the exponents? (1 point)
A. Adding
B. Subtracting
C. Multiplying
D. Dividing
What is the inverse of the function f(x) = x - 9?
Answer:
F^-1(x) = x+9
Step-by-step explanation:
Hope this helps! Stay Safe!\
The inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
From the question, the given function is
f(x) = x - 9
To determine the inverse of this function,
First, let y = f(x)That is,
y = x - 9
Now, make x the subject of the equationTo do that, add 9 to both sides
We get
y +9 = x - 9 +9
y + 9 = x
∴ x = y + 9
Now, rewrite as f⁻¹(x) by replacing y by xThat is,
f⁻¹(x) = x + 9
Hence, the inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
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If vector u= (-4,8) and vector (5,-18), which vector can be added to 2u-4v to give the unit vector in the direction of the y-axis as the resultant vector?
A. w = (12, -87)
B. w = (28, -55)
C. w = (28, -87)
D. w = (12, -55)
Answer:
hey buddy im gona help you!
Step-by-step explanation:
If f(x) = 8 -3x and g(x) = 4x, solve gf(x) = 80
Answer:
(f-g)(x)= f (x)- g (x) =4^x -1 +6 -(2x-5)
=4^x +5 -2x +5
=4^x -2x +10
Step-by-step explanation:
Please show your work for points
Answer:
try your best
Step-by-step explanation:
Brian notices that a 25-meter flagpole casts a 30 meter shadow. If a nearby telephone pole casts a 40-meter shadow, how tall is the telephone pole?
Answer:its a 35 meter
order the numbers from least to greatest 7,-2.5,4/6
Answer:
-2.5, 4/6, 7
Step-by-step explanation:
We know this because -2.5 is the only negative number within the sequence, 4/6 is just a fraction so it's not a full number of 6, making 7 the greatest number.
Answer:
-2.5, 4/6, 7
Step-by-Step:
If y varies directly as x, and x = 13 when y = 6, what is y when x = 65?
Answer:
y=30
Step-by-step explanation:
What is the solution to the system of equations graphed below?
(2, 4)
(4,2)
(0.6)
(6.0)
Answer:
(4,2)
Step-by-step explanation:
You can see the point where lines crossed.
Hope this helps you.
solve the following equation algebraically:
2 x squared = 98
a.
x = 7
b.
x = plus-or-minus 49
c.
x = plus-or-minus 7
d.
x = 49
Answer:
c. [tex] x = \pm 7 [/tex]
Step-by-step explanation:
[tex] 2x^2 = 98 [/tex]
[tex] x^2 = 49 [/tex]
[tex] x = \pm\sqrt{49} [/tex]
[tex] x = \pm 7 [/tex]
Solve for v.
v+1≤2
HELP I WILL MARK BRAINLIEST
Step-by-step explanation:
V is less or equal to 2-1
V is therefore less or equal to 1
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?
Answer:
Speed = 24 km/h
Step-by-step explanation:
Speed = Distance / Time
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
Distance = 12 km
Time = 0.5 Hours
Speed = 12 / 0.5
Speed = 24 km/h
Answer:
Step-by-step explanation:
12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.
12*2= 24 km/h
This diagram represents a function named h. Which of the choices also represents the function, h?
Answer:
if this is on Imagine Math then its the first answer
Step-by-step explanation: got it right!
The correct choices to represents the function, h is shown in figure.
⇒ h (x) = 4x - 2
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
This diagram represents a function named h.
Now, We have;
The correct equation to represent the equation is,
h (x) = x × 4 + 9- 2)
h (x) = 4x - 2
Hence, We can draw the equation of line and find that the correct choices to represents the function, h
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Use the divisibility rules to determine which of the following numbers 330 is divisible by. (Check all that apply.)
2
3
5
7
11
The numbers that divide 330 are 2, 3, 5 and 11.
How to find the divisibility for a given number?In order to find divisibility, there are certain rules for different numbers. If a number is divisible by two numbers then it is also divisible by their product.
The given number is 330.
The divisibility rules for the number given can be applied one by one as follows,
Divisibility for 2,
For a number to be divisible by 2 its unit digit must be 0, 2, 4, 6 or 8.
Thus, 330 is divisible by 2.
Divisibility for 3,
For a number to be divisible by 3 sum of the digits of the number must be divisible by 3.
Since sum of the digits of 330 is 6 which is divisible by 3, 330 is also divisible by 3.
Divisibility for 5,
A number should either end with 0 or 5 in order to be divisible by 5.
Thus, 330 is divisible by 5 as it ends with 0.
Divisibility for 7,
For a number to be divisible by 7, the digit at ones place multiplied by 2 and then subtracted from the remaining digits must be divisible by 7.
Here, in 330 this rule is applied as,
33 - 2 × 0 = 33
Since 33 is not divisible by 7, 330 is also not divisible.
Divisibility for 11,
The difference of the sum of the digits at even place to the odd place must either be zero or divisible by 11.
In 330, 3 + 0 - 3 = 0.
Thus, 330 is divisible by 11.
Hence, the given number 330 is divisible by 2, 3, 5 and 11.
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NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 17 Date Name Lesson 17 Solutions Eric's father works two part-time jobs, onc in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hours does Eric's father work each afternoon?
Answer:
Eric's father work 5 hours each afternoon
Step-by-step explanation:
Let x be the no. of hours Eric's father work each afternoon
He works for hours in morning each day = 3
He works for total hours in morning in 5 days=[tex]3 \times 5 = 15[/tex]
He works for total hours in afternoon in 5 days=5x
We are given that he works a total of 40 hours each 5-day workweek.
ATQ
15+5x=40
5x=25
x=5
Hence Eric's father work 5 hours each afternoon
1. What is the distance between -12 and 6 on the number
line?
What is the product of -4 1/2 and 2 1/2 enter your answer as a mixed number
Answer:
-1
Step-by-step explanation:
Simplify the following:
-2 + 1
Hint: | Divide 4 by 2.
4/2 = (2 (-2))/2 = 2:
-2 + 1
Hint: | Divide 2 by 2.
2/2 = (2×1)/2 = 1:
-2 + 1
Hint: | Subtract 2 from 1.
-2 + 1 = -1:
Answer: -1
Prove that ✓-36 does not exist in the Real
Numbers
Answer:
undefined
Step-by-step explanation:
Becouse any number under a root sign that is negative does not give any answer.Therefore it doesn't exist in real number system.
) If a deposit or withdrawal will change an account balance by more
than $1,000, a manager must approve it. Which of these deposits and
withdrawals need manager approval? Choose ALL the correct answers.
-$875
-$1,600
$1,304
-$2,505
$1,001
$451
DONE
ID
The deposits and withdrawals that require manager approval are:
-$1,600 (since it changes the balance by more than $1,000)
-$2,505 (since it changes the balance by more than $1,000)
What are the deposits and withdrawals?
A deposit is a money put into a bank account for safekeeping until you need it. A withdrawal is a money that's taken out of your account.
The deposits and withdrawals that require manager approval are:
-$1,600 (since it changes the balance by more than $1,000)
-$2,505 (since it changes the balance by more than $1,000)
The deposits and withdrawals that do not require manager approval are:
-$875 (since it changes the balance by less than $1,000)
$1,304 (since it changes the balance by less than $1,000)
$1,001 (since it changes the balance by less than $1,000)
$451 (since it changes the balance by less than $1,000)
Therefore, The deposits and withdrawals that require manager approval are:
-$1,600 (since it changes the balance by more than $1,000)
-$2,505 (since it changes the balance by more than $1,000)
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Help I’m dumb and it’s the end of the quarter
Answer:its ok me too :(
Step-by-step explanation:hope you get smart soon have a nice day:)