Answer:
( − 7 , − 2 ) , ( − 3 , 0 ) , ( 1, 2 ) , ( 5 , 4 ) , ( 7 , 5 )
From: iOE Your friend
:D :) *Be awesome.Be You*
9(x +3) = 4x -3 cant figure it out
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
[tex]9\left(x+3\right)=4x-3[/tex]
Expand:
[tex]9x+9\times3=4x-3[/tex]
[tex]9x+27=4x-3[/tex]
Subtract 27 from both sides:
[tex]9x+27-27=4x-3-27[/tex]
[tex]9x=4x-30[/tex]
Subtract 4x from both sides:
[tex]9x-4x=4x-30-4x[/tex]
[tex]5x=-30[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}=\frac{-30}{5}[/tex]
[tex]x=-6[/tex]
3. Ms. Reyes' class did a survey of 50 students. 20 of the students said comedies
were their favorite type of movie.
What percent of the students preferred comedies?
Answer:
40 percent
Step-by-step explanation:
Use of proportion
50 (2) = 100%
20 (2) = 40%
do the same thing; what you do on the bottom you do on the top too
Answer:
I believe it is 40%.
Step-by-step explanation:
f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))
Answer:
4
Step-by-step explanation:
f(g(x)) = 3(x-2) + 10
f(g(0)) = 3x - 6 + 10
f(g(0)) = 3(0) - 6 + 10
f(g(0)) = 0 - 6 + 10
f(g(0)) = 4
HELP!!! Need help with my home work!
(5x+2)/8=x/6 what value will make it true??
Answer:
-6/11 =x
Step-by-step explanation:
We can use cross products to solve
(5x+2)/8=x/6
6 ( 5x+2) = 8x
Distribute
30x + 12 = 8x
Subtract 30x from each side
30x -30x +12 = 8x - 30x
12 = -22x
Divide each side by -22
12/-22 = -22x/-22
-6/11 =x
A 250-gal tank is initially filled with brine (salt-water mixture) containing 100 lb of salt. Brine containing 3 lb of salt per gallon enters the tank at the rate of 7 gal/s, and the well-mixed brine in the tank flows out at the rate of 9 gal/s. Find the amount x(t) of salt in the tank after 1 minute.
Answer:
x(t) = 581.66 lb
Step-by-step explanation:
From the given information:
Consider the salt quantity in the tank at time t be x(t) lb.
∴ the rate of change of salt content in the tank is [tex]\dfrac{dx}{dt}= Rate \ of \ \ inflow - rate \ of \ \ outflow[/tex]
where:
the rate of inflow = salt conc. × flow rate = 3 lb/gallon × 7 gallons
=21 lb/s
rate of outflow = salt conc. in the tank × flow rate
= x/250 × 9
= 9x/250 lb/s
∴
[tex]\dfrac{dx}{dt} = 21 - \dfrac{9x}{250}[/tex]
[tex]\dfrac{dx}{dt} + \dfrac{9x}{250}= 21[/tex]
This is a 1st order linear differentiation,
The integrating factor if [tex]e^{^{ \int \dfrac{9}{250}\ dt}} = e^{^{ \dfrac{9t}{250} }}[/tex]
∴
[tex]e^{^{ \dfrac{9t }{250}}} \ \ x(t) = \int 21 e^{\dfrac{9t}{250}} \ dt + C[/tex]
[tex]e^{^{ \dfrac{9t }{250}}} \ \ x(t) = 21 \times \dfrac{250}{9}e^{\dfrac{9t}{250}} + C[/tex]
[tex]x(t) = \dfrac{1750}{3}+Ce^{^{\dfrac{-9t}{250}}}[/tex] at t = (0) and x(0) = 100 lb
Hence;
[tex]100 = \dfrac{1750}{3}+C[/tex]
[tex]C = \dfrac{1750}{3} -100[/tex]
[tex]C = - \dfrac{1450}{3}[/tex]
∴[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9t}{250}}}[/tex]
after time t = 1 minute i.e 60 s
[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9 \times 60}{250}}}[/tex]
[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-540}{250}}}[/tex]
x(t) = 581.66 lb
What is this (x^2)^5 times (x^5)^2
Answer:
[tex]x^{20}[/tex]
Step-by-step explanation:
[tex](x^{2} )^{5}[/tex]·[tex](x^{5})^{2}[/tex]
[tex](x^{10} )[/tex] · [tex](x^{10})[/tex]
[tex]x^{20}[/tex]
The length of chen’s office is 15.5 feet and the width is 7.8 feet find of the office
Answer:
The area of Chen's office (if that's what you're looking for) is 120.9 feet
Step-by-step explanation:
All I did was a = lw, the formula for finding the area of something using length and width
a = lw
a = 15.5 × 7.8
a = 120.9
Hope this helped.
Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7x+8 d) y=-1/7x+1
Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:
-1/7
So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.
7 = -1/7(7) + b
Simplify the right side
7 = -1 + b
Add 1 to both sides
8 = b
The equation of the perpendicular line is:
y = -1/7x + 8
Jessica walks 7 times as far to school as Taylor does . Jessica walks 5 miles. How many miles does Taylor walk?
Answer:
Step-by-step explanation:
Jessica: 5 miles
Taylor: 5/7 = .7143 miles
Simplify the expression. (5x^3+4x^2+6x-3)+(-2x^3+3x^2-7x+9)-(5x+3)(4x^2+x-1)
Answer:
-17x³-10x²+x+9
Step-by-step explanation:
(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(5x+3)(4x²+x-1)
(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(20x³+5x²-5x+12x²+3x-3)
(3x³+7x²-x+6)-(20x³+17x²-2x-3)
-17x³-10x²+x+9
William and his puppy Rover are out for a morning jog at a comfortable pace of 10 minutes per mile. If they keep up this pace for 2 hours, how many miles will they jog?
Answer:
12 miles
Step-by-step explanation:
60 min in 1 hr and 10 min = 1 mile..... so 6, 10 min intervals..... and so 6 time 2 is 12
MY NOTES
ASK YOU
A table of solutions for a linear equation is given below. From the table, determine the x-intercept and the y-intercept of the graph of the equation
x-intercept
(x, y) =(
y-intercept
(x, y) =
х
y
-6
0
(x, y)
(-6, 0)
(-3, 4)
(0,8)
-3
4
0
8
what is 3/5 as a percent
Answer:60%
Step-by-step explanation:
3 divided by 5 ten times by 100 and you get 60%
11-3(a-2)=27 I NEED TO SHOW WORK HELP
Answer:
3.3 recurring
Step-by-step explanation:
1) expand bracket
11-3a+6=27
2)rearrange equation
11+6=27+3a
11+6-27=3a
17-27=3a
-10=3a
-10/3=a
a=3.3 recurring
Answer:
a= - [tex]\frac{10}{3}[/tex] or -3.33
Step-by-step explanation:
[tex]11-3(a-2)=27[/tex]
subtract 11 on both sides; 27-11=16
[tex]-3(a-2)=16[/tex]
divide both sides by -3
[tex](a-2)=-\frac{16}{3}[/tex]
add 2 on both sides
[tex]a=-\frac{16}{3} +2[/tex]
a=[tex]-\frac{10}{3}[/tex]
Find the derivative of the function.
g(x)=∫5x4xu2−1u2+1 du.
Answer:
[tex]g'(x) = \dfrac{5 *(25x^2-1)}{(25x^2+1)}- \dfrac{4 * (16x^2-1)}{(16x^2+1)}[/tex]
Step-by-step explanation:
Given that:
[tex]g(x) = \int^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ \ du[/tex]
Then: the derivative of the function is as follows:
[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2+1} \ \ \dfrac{d}{dx}(5x) -\dfrac{(4x)^2-1}{(4x)^2+1} \ \ \dfrac{d}{dx}(4x)[/tex]
[tex]g'(x) = \dfrac{5 *(25x^2-1)}{(25x^2+1)}- \dfrac{4 * (16x^2-1)}{(16x^2+1)}[/tex]
The opposite of -4 is
A) 4
B) -4
C) -(-(-4))
D) -|4|
Answer:
the answer is A
Step-by-step explanation:
horizontal translation
reflection over the x-axis
reflection over the y-axis
Answer:
The correct option is;
Reflection over the y-axis
Step-by-step explanation:
An even function is a function that satisfies the following function equation;
f(x) = f(-x)
Therefore, for an even function, we have;
f(x) - f(-x) = 0
Which gives that the values of f(x) of the even function is the same upon reflection about the y-axis whereby the values of x changes from x to -x
Therefore, the symmetry of an even function is about the y-axis
However, an odd function is a function that satisfies the following function equation;
f(-x) = -f(x)
Therefore, reflection across the y-axis will result in an inversion of the odd function such that the odd function is not symmetrical about the y-axis as we have;
f(-x) = -f(x) ≠ f(x) which simplifies to f(x) ≠ f(-x).
Factorise Fully x^2 + x
Answer:
X(x+1)
Step-by-step explanation:
If it is wrong I'm sorry.
Leora had some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she have in her wallet before she bought the groceries?
$24.93
$35.93
$45.41
$62.17
Answer:
62.17
Step-by-step explanation:
you add 18.62 to 43.55 and get 62.17.
hope this helps.
Answer:
62.17 boom
Step-by-step explanation:
solve for p in the literal equation 8p+5r=q
plz help!!
solve for h: V= 1/3πr²h
solve for b: a=2(b-c)
solve for y: w=3x+7y
Answer:
1)[tex]h = \frac{3V}{\pi {r}^{2} }[/tex]
2)[tex]b = \frac{a}{2} + 2[/tex]
3)[tex]y = \frac{w - 3x}{7} [/tex]
Step-by-step explanation:
1)[tex]V= \frac{1}{3} \pi {r}^{2} h[/tex]
[tex] = > V = \frac{ \pi {r}^{2} h}{3} [/tex]
[tex] = > 3V = \pi {r}^{2} h[/tex]
[tex] = > h = \frac{3V}{\pi {r}^{2} } [/tex]
2)[tex]a=2(b-c)[/tex]
[tex] = > \frac{a}{2} = b - c[/tex]
[tex] = > b = \frac{a}{2} + c[/tex]
3)[tex]w=3x+7y[/tex]
[tex] = > w - 3x = 7y[/tex]
[tex] = > y = \frac{w - 3x}{7} [/tex]
simplify radical 150 = ________
Sita Rahim drove due north for 3 hours at 46 miles per hour. From the
same spot, Yasmina Young drove due south for 2 hours at 43 miles per
hour. How far apart were they after their trip?
Answer:
224 miles
Step-by-step explanation:
What you would do is take the 3 hours times the 46 mph to get 138 miles.
3*46=138
Next, multiply the 2 hours by the 43 mph to get 86 miles.
2*43=86
Lastly, you're going to add the two.
138+86=224 miles.
I NEED HELP ASAP PLEASE
Answer: d s 5\ answer
Step-by-step explanation:
PLEASE HELP!! Need help with my homework!
Answer:
Line segment: AD (without arrow)
Ray: BA (with one sided arrow)
Rays with common endpoint: AC and AD (with one sided arrow)
Intersection: AE (double sided arrow)
Collinear points: B, A, C
PLEASE MARK AS BRAINLIEST
There are 12 red pens, 20 blue pens and 5 black pens in a bag. What is the probability that you will pick a black pen? Round
Answer:
The probability of getting a black pen from the bag is 13.5%.
Step-by-step explanation:
To determine the percentage probability that a black pen will be obtained from the bag, the following calculation must be performed:
12 + 20 + 5 = 37
37 = 100%
5 = X
(5 x 100) / 37 = X
500/37 = X
13.5 = X
Thus, it is determined that the totality of pens is 100%, and through a cross multiplication the percentage of the 5 black pens with respect to the total of pens is obtained.
Therefore, the probability of getting a black pen from the bag is 13.5%.
6/31. There are 6 black pens left and the red pen was removed, so the original sample size of 32 is reduced to 31.
Mr. Josey is tasked with cutting the grass this weekend. He can cut 1/4 of the yard in 20 minutes. How long will it take to cut the entire yard?
What is 3/8-2 what does it equal
Answer:
the answer would be -1 5/8 in fraction form and -1.625 in decimal form
Answer:
-13/8
Step-by-step explanation:
2 = 16/8
3/8-16/8 = -13/8
Katie deposited $1,000 in the bank for 6 years. She earned a simple interest rate of 1.5%. How much interest did she earn?
Answer:
Idl but I believe its 2340
Step-by-step explanation:
but I could be wrong