xy = -2
(-3)(2/3) = -2
-2 = -2 TRUE
x + 3y = -1
-3 + 3(2/3) = -1
-3 + 2 = -1
-1 = -1 TRUE
x + z = 4
-3 + z = 4
z = 7 NEITHER
9y = -2x
9(2/3) = -2(-3)
6 = 6 TRUE
y/x = -2
(2/3)/(-3) = -2
-0.22... = -2 FALSE
-2/x / y = -1
-2/-3 / 2/3 = -1
2/3 / 2/3 = -1
1 = -1 FALSE
Best of Luck!
Answer:
A. xy = -2 - true
B. x + 3y = -1 - false doesn't equal -1 it equals -2
C. x + z = 4 - neither because z
D. 9y = -2x - false because it equals -6
E. y/x = -2 - false because it equals -.2222222
F. -2/x / y = -1 - false it equals positive 1
Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
Answer:
The rate of change of the function at x = 0.6 is approximately -0.72
Step-by-step explanation:
The given information from the graph are;
Points (0, 0) and (1, -0.5)
We have that the graph is that of a cubic function, therefore;
f(x) = ax³ + bx² + cx + d
At f'(x) at (0, 0) and (1, -0.5) = 0 gives;
3ax² + 2bx + c = 0
∴ c = 0
Also
ax³ + bx² + cx + d = 0
d = 0
We have
3a(1)² + 2b(1) + 0 = 0
3·a + 2·b = 0..............(1)
a(1)³ + b(1)² + c(1) + d = -0.5
a + b + 0×(1) + 0 = -0.5
a + b = -0.5..........(2)
Multiplying equation (2) by 2 and subtracting it from equation (1) gives;
2 × (a + b = -0.5) = 2·a + 2·b = -1
3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1
a = 1
From
a + b = -0.5, we have;
1 + b = -0.5 = 0
b = -0.5 - 1 = -1.5
The equation becomes
f(x) = x³ - 1.5·x²
The rate of change of the function at x = 0.6 is therefore given as follows;
f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x
At x = 0.6, we have;
f'(0.6) = 3·(0.6)² - 3·(0.6)
f'(0.6) = 3×0.6² - 3×0.6 = -0.72
The rate of change of the function at x = 0.6 ≈ -0.72
Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width. Lyle can afford no more than 560 feet of fence. Write
an inequality to show that the perimeter of the dog pen can be no more than 560 feet.
2 (12 + w) + 2w < 560
(12 + 2) + w < 560
o 2(12 + w) + 2w< 560
0 (12+w) + w < 560
Answer:
2(2W+12) < 560
Step-by-step explanation:
Perimeter of a rectangular dog pen P = 2(L+W) where;
L is the length of the dog pen
W is the width of the dog pen
If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12
If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560
The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)
Substituting the given parameters;
2([W+12]+W)<560
2(2W+12)<560
Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560
Some number added to 5 is equal to -11. Find the number.
Answer:
5-16= -11
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
5+?=-11
move the equation around..
-11-5=?
-11-5=-16
you can move the equation around again to be sure..
5+(-16)=-11
yes it does
HAVE A GREAT DAY (:
1. Find the slope of the line containing the points (9,6) (11,9).
Answer:
[tex]y=\frac{3}{2}x-\frac{15}{2}[/tex]
Step-by-step explanation:
Use the point-slope formula [tex]y-y_{1}=m(x-x_{1})[/tex]
First you have to find m with the formula [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]m = \frac{9 - 6}{11 - 9} = \frac{3}{2}[/tex]
Choose whichever point you want as [tex](x_{1}, y_{1})[/tex], in this case I'll choose [tex](9, 6)[/tex]
[tex]y - y_{1} = m(x - x_{1})\\y - 6 = \frac{3}{2} (x - 9)\\y - 6 = \frac{3}{2}x - \frac{27}{2} \\y = \frac{3}{2}x - \frac{27}{2} + 6\\y = \frac{3}{2}x - \frac{15}{2}[/tex]
Among other ingredients, a recipe for paella calls for 3/4 pound of chorizo and 1/2 cups of rice. What is the unit rate of pound of chorizo to cups of rice in the recipe?
A. 3/10 pound of chorizo per cup of rice
B. 8/15 pound of chroizo per cup of rice
C. 1 7/8 pound of chorizo per cup of rice
D. 3 1/3 pound of chorizo per cup of rice
HURRRYYYYYYY!! WILL GIVE BRAINLIEST
Find the solution set for the open sentence with the given replacement set. w2+16=8w, {0, 2, 4, 8} 0 2 4 8
Answer:
It’s 4
Step-by-step explanation:
An article was sold for Rs 30
at a loss of 24%, what would
have been sale price, had it
been sold at 17% loss.
Answer:
Rs. 32.77
Step-by-step explanation:
At a loss of 24% sale price = Rs. 30At a loss of 17% sale price = ?----------
Finding cost price:
Sale price = cost - lossIf cost = x:
x - 24% = 300.76x = 30x = 30/0.76x ≈ 39.48SP at a loss of 17%:
39.48 - 17% = 39.48*0.83 ≈ 32.77Order the values from
least to greatest:
| -4|,|3|, 0,-1
Answer: -4, -1, 0, 3
A gallon of paint will cover 144 square feet of floor space. What are the dimensions of the largest square floor that the gallon of paint will cover?
Please Helppppp I will make u brainliest
Solve by factoring x^4+6x^2-27=0
Answer:
Step-by-step explanation:
x^4+6x^2-27=0
The two factors you need to use for 27 is 9 and 3.
Since the middle term must be plus then the 9 is also plus.
(x^2 + 9)(x^2 - 3)
x^2 + 9 can't be factored in the real number system.
x^2 - 3 = 0
(x + sqrt(3))(x^2 - sqrt(3))
The full factoring answer would be
(x^2+9)(x + sqrt(3))(x^2 - sqrt(3))
9x9 sudoko puzzle
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I done it
I attached it
I need help I turn this in in less than 20 min
what is the inverse of f(x) = -10x - 2
Answer:
f^-1(x)-(x/10)-(1/5).
Hope this helps!
Step-by-step explanation:
(See picture for explanation!)
Question 3 1 pts Strawberries are on sale $7.00 for 3 pints. How much do they cost per pint?
Answer:
$2.33
Step-by-step explanation:
To find how much strawberries cost per pint, we would divide the seven dollars by 3 which will tell us how much each pint costs. Hope this helps, have a great day!
make r the subject of the formula t=[tex]\frac{r}{r-3}[/tex]
Answer:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
Step-by-step explanation:
We are given the formula:
[tex]\displaystyle t=\frac{r}{r-3}[/tex]
And we are asked to make r the subject of the formula.
We can multiply both sides by r - 3. This reduces the denominator on the right-hand side:
[tex]t(r-3)=r[/tex]
Distribute:
[tex]rt-3t=r[/tex]
Subtracting rt from both sides yields:
[tex]-3t=r-rt[/tex]
Factoring:
[tex]-3t=r(1-t)[/tex]
Divide and simplify:
[tex]\displaystyle \begin{aligned} r & = \frac{-3t}{1-t} \\ \\ & = \frac{3t}{t-1}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
can someone please help me witch is the answer 20 points to the one who can answer first
First, let's find the slope.
Slope = (7 - (-3)) / (2 - 0) = (7 + 3) / 2 = 10 / 2 = 5
So far our equation looks like: y = 5x + b
Leta plug one of the points into our equation to find b.
-3 = 5(0) + b
Simplify.
-3 = b
The equation is: y = 5x - 3
Answer choice B is correct.
One day Freya eats 12 ice creams
in 6 hours and the second day she
eats 14 ice creams in 7 hours. How
many ice creams does Freya eat
per hour?
Answer:
she ate 2 ice creams per hour
Step-by-step explanation:
A baby weighed 8 pounds at birth if she triples her weight by age 2 how much does she weight at age 2
Answer:
The answer is 24 pounds
Step-by-step explanation:
Tripling is another way of saying multiplying by 3, so when you multiply 8 and 3...you get 24
Which of the following is the solution of 3x – 2 = 16? x = 3 x = StartFraction 14 over 3 EndFraction x = StartFraction 16 over 3 EndFraction x = 6
x = 6
3x = 18
18/3 = 6
x = 6
Answer:
d
Step-by-step explanation:
on edg
A roller coaster accelerates from an initial velocity of 5.0 m/s to a final velocity of 80
m/s during a 5 second time interval. At what rate does the roller coaster accelerate?
displacement
Velocity =
time
(n=4)
Acceleration =
final velocity – initial velocity
time
(
15 m/s2
15 m/s
-15 m/s2
17 m/s2
Answer:
15m/s^2
Step-by-step explanation:
u=5m/s
v=80m/s
a=?
t=5sec
now
a=v-u/t
a =80-5/5
a=75/5
a =15 ans
One-half of a roll of wallpaper covers 1/10th of a wall. How many rolls of wallpaper are needed to cover half the wall? (a) 2/10 (b) 2 1/12 (c) 5 (d) 10
Answer:
2 1/2 rolls
Step-by-step explanation:
rolls : walls = (1/2) : (1/10) = ? : (1/2) = 5/2 : 1/2 (multiply by 5, since 1/2 = 5/10)
It takes 5/2 rolls = 2 1/2 rolls to cover half the wall.
Answer:
[tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall
The correct option is (b) 2 1/2
Step-by-step explanation:
To determine the number of rolls of wallpaper that are needed to cover half (1/2) the wall,
From the question,
One-half of a roll of wallpaper covers 1/10th of a wall.
Hence, we are to determine the number of rolls of wallpaper that are needed to cover 5/10th of the wall. (NOTE: 5/10th of the wall = 1/2 the wall)
Now,
First, we will find the part of the wall that will be covered by one roll of the wallpaper
If one-half of the roll of wallpaper covers 1/10th of the wall.
Then, one roll (two halves) will cover 2 × 1/10th of the wall
= 1/5th of the wall
Hence one roll will cover 1/5th of the wall
Now, for the number of rolls that will cover half (1/2) the wall
If one roll of the wallpaper covers 1/5th of the wall
Then, [tex]x[/tex] rolls of the wallpaper will cover 1/2 of the wall
[tex]x =\frac{1/2 \times 1}{1/5}[/tex]
[tex]x =\frac{5}{2}[/tex]
[tex]x =2\frac{1}{2}[/tex]
Hence, [tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall
Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons?
Answer:
198
Step-by-step explanation:
270/15 gives us 18, his miles per gallon. multiply that by 11, and you get 198.
A pyramid has a square base with an area of 225 2. What is the perimeter of the base of the pyramid
Answer:
60 square unit
Step-by-step explanation:
side = √225.2 = 15
perimeter = side x 4
perimeter = 15 x 4 = 60 square unit
round 27.68 to the nearest tenth
Answer:
27.7
Step-by-step explanation:
For this problem, we will simply use standard rounding conventions to round the number to the nearest tenth.
If the number after the target, the hundreths place in this case, is between 0 and 4, we won't change the tenths place. If the number is between 5 and 9, we will increment the tenths place by one.
So for our number, 27.68, 8 is between 5 and 9 so we will increment the tenths place by one for the round.
Hence, our rounded answer for the nearest tenth is 27.7.
Cheers.
The expression 14 to the power of 6 divided by 14 to the power of 4 is equal to
Answer:
[tex]14^{2}[/tex] [tex]or 196[/tex]
Step-by-step explanation:
[tex]14^{6}[/tex] ÷ [tex]14^{4}[/tex]
all you have to do it subtract
[tex]14^{6} - 14^{4}[/tex]
=
[tex]14^{2}[/tex]
which is equivalent as 196.
to solve [tex]14^{2}[/tex], it's just
14 × 14 = 196
1 2
FIRST TO ANSWER GETS BRAINLIEST!!!
Answer:
x = 3
y = 2
Step-by-step explanation:
What is the slope of the line Perpendicular to y = 1x - 10
Zero
4
4
-4
Perpendicular lines have opposite reciprocal slopes.
y = 1/4x - 10 is our original equation.
If we flip the slope and change the sign, we get -4
The answer is -4
A pitcher contains 19.25 cups of iced tea. You drink 1.25 cups of the tea each morning and 1.5 cups of the tea each evening. When will you run out of iced tea?
Answer:
Seven days
Step-by-step explanation:
From the information given, you know that you drink in a day 1.25 cups of the tea in the morning morning and 1.5 cups of the tea in the evening which is equal to:
1.25+1.5=2.75 cups a day
Now that you know the amount of cups that you drink in a day, you can divide the amount of cups in the pitcher by the amount of cups you drink in a day:
19.25/2.75= 7
According to this, the answer is that you will run out of iced tea after seven days.
If SLDG is an isosceles trapezoid, what is the value of x?
SD-x5
LG - 5x+21
O A. 26
O B. 23
O C. 13
O D. 18
O E. 24,5
O E Cannot be determined
Answer:
13
Step-by-step explanation:
Applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
What is an Isosceles Trapezoid?An isosceles trapezoid has two congruent legs and two diagonals that are congruent.
Given:
SD = 8x - 5LG = 6x + 21Thus:
SD = LG
Substitute
8x - 5 = 6x + 21
Combine like terms and find x
8x - 6x = 5 + 21
2x = 26
x = 26/2
x = 13
Thus, applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
Learn more about isosceles trapezoid on:
https://brainly.com/question/10187910
What is the absolute value of 2.5
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Hi there!
~
The absolute value is the distance from 0 to 2.5. In this case the absolute value from 0 to |2.5| is 2.5
❀Hope this helped you!❀
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