Answer:
( − 7 , − 2 ) , ( − 3 , 0 ) , ( 1, 2 ) , ( 5 , 4 ) , ( 7 , 5 )
From: iOE Your friend
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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
(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
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
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?
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 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
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]
I NEED HELP ASAP PLEASE
Answer: d s 5\ answer
Step-by-step explanation:
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]
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]
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
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:
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).
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]
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]
Factorise Fully x^2 + x
Answer:
X(x+1)
Step-by-step explanation:
If it is wrong I'm sorry.
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
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
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
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.
HELP!!! Need help with my home work!
simplify radical 150 = ________
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
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:
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.
solve for p in the literal equation 8p+5r=q
The opposite of -4 is
A) 4
B) -4
C) -(-(-4))
D) -|4|
Answer:
the answer is A
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
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%
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.