Answer:
[tex]m = \frac{5}{3}[/tex]
[tex]b = \frac{4}{3}[/tex]
Step-by-step explanation:
The question requires you to rearrange the equation into the form:
y = mx + c
Which is the straight line equation, meaning rearrange for y:
Add 3y to both sides of the equation:
5x - 3y + 4 = 0
5x - 3y + 4 + 3y = 0 + 3y
5x + 4 = 3y
Divide both sides of the equation to isolate y:
[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]
[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]
This means that [tex]m = \frac{5}{3}[/tex] and [tex]b = \frac{4}{3}[/tex].
Hope this helps!
Answer:
m = 5/3 and c = 4/3.
Step-by-step explanation:
5x - 3y + 4 = 0
-3y = -5x - 4
y = (-5/-3)x - 4/-3
y = 5/3 x + 4/3
y = mx + c
So m = 5/3 and c = 4/3
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units, then what is the value of k?
k equals one seventh
k equals negative one seventh
k = 7
k = −7
Answer:
k = 7
Step-by-step explanation:
Vertical shift down by 7units, f(x) - 7
g(x) = (0.5)x - 7
g(x) = (0.5)x - k
Comparing both equations, k = 7
Answer:
k = 7
Step-by-step explanation:
it would be 7 and not -7 because there is already a minus symbol which shows that k is being moved downwards 7 UNITS.
Raven was a writing a story. She was trying to figure out how long it would take for her to write it. If she can ride 2 2/3 pages in one hour, how many pages will she have written after 2 1/2 hours? who is correct?
Answer:
She would have written 6 2/3 pages.
Step-by-step explanation:
2 2/3 pages = 1 hour
6 2/3 pages = 2 1/2 hours
3. There are 12 red balloons and 14
blue balloons in the bouquet.
What is the ratio of red balloons to blue balloons?
Answer:
6:7
Step-by-step explanation:
Divide 12 and 14 by 2 to simplify the ratio.
Answer: 6:7
Step-by-step explanation:
The number of red balloons in 12 and the number of blue ones is 14, which can be written as 12:14. 12:14 can be simplified to 6:7
last question on the page answer correctly or don't answer at all please because this is an annoying question
There are three times as many girls as boys in the school choir. If there are 24 girls how many singers are in the chior altogether
Answer: 8
Step-by-step explanation:
Answer:
chicken
Step-by-step explanation:
nugget
Do it quickly please for brainliest
Step-by-step explanation:
x/(2x - 4) - (2x - 11)/(x + 2) = 5/8x/(x - 2) - (4x - 22)/(x + 2) = 5/4x(x + 2) - (4x - 22)(x - 2) = 5/4(x + 2)(x - 2)4(x² + 2x - 4x² + 8x + 22x - 44) = 5(x² - 4)4(-3x² + 32x - 44) = 5x² - 20- 12x² + 128x - 176 - 5x² + 20 = 0- 17x² + 128x - 156 = 017x² - 128x + 156 = 0x = (64 ± 38)/17x = 6 or x = 26/17
Convert each of the ingredient amounts below from ounces to fractions
Example: 8.2 = 8 2/10 *
2 points
Puppy Chow Trail Mix
• Trail Mix:
• 1 (12.65 ounce) can salted peanuts
• 1 (10.5 ounce) package miniature marshmallows
• 1 (3.2 ounce) package sunflower seeds
• 1(1.69 ounce) package candy-coated milk chocolate pieces (such as M&M's(R))
• 1 (1.5 ounce) box raisins
Your answer
Answer:
12.65 = 12 65/100
= 12 13/20
10.5 = 10 5/10
= 10 1/2
3.2 = 3 2/10
= 3 1/5
1.69 = 1 69/100
1.5 = 1 5/10
= 1 1/2
Step-by-step explanation:
The weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.
Given that, salted peanuts = 12.65 ounce.
How to convert decimals to fractions?Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value.
Now, salted peanuts = 12.65 ounce in fraction is
12.65 = [tex]12 \frac{65}{100}[/tex]
= [tex]12 \frac{13}{20}[/tex] ounce
10.5 ounce package miniature marshmallows
In fraction 10.5 = [tex]10 \frac{5}{10}[/tex]
= [tex]10 \frac{1}{2}[/tex] ounce
3.2 ounce package sunflower seeds
In fraction 3.2 = [tex]3 \frac{2}{10}[/tex]
= [tex]3 \frac{1}{5}[/tex] ounce
1.69 ounce package candy-coated milk chocolate pieces
In fraction [tex]1 \frac{69}{100}[/tex]
1.5 ounce box raisins
In fraction [tex]1 \frac{5}{10}[/tex]
= [tex]1 \frac{1}{2}[/tex]
Therefore, the weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.
To learn more about the conversion of decimal to fraction visit:
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Which equation is NOT a linear? function
Answer:
A
Step-by-step explanation:
Because the x-intercept is zero and if you want to show it on a graph it is a quadratic function.
13^5/13^x=13^4
Anyone know how to solve this?
[tex]\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1[/tex]
ANSWER: x = 1
ok done. Thank to me :>
Find the values of x and y.
Answer:
x=68/9; y=38/3.
Step-by-step explanation:
1) according to the condition m(ABC)=m(DEF), then 6y-4=80, ⇒ y=38/3;
2) according to the condition AB=DE, then 10=3x-y. If y=38/3, then 10=3x-38/3; ⇒ x=68/9.
3-(-5)=3+?
Not sure what this was
Answer:
5
Step-by-step explanation:
3 - ( - 5 )
= 3 + 5
3 + ? = 3 + 5
? = 5
graph h(x)=x^4-3x^2+x. identity the x intercepts and the points where the local maximum and local minimum occur. determine the intervals for which the function is increasing or decreasing.Round to the nearest hundredth if necessary
I hope this helps you. Give a like
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
h(x) = [tex]x^4[/tex] - 3x² + x
The x-intercept is when h(x) = 0.
0 = [tex]x^4[/tex] - 3x² + x
From the graph, we see that,
The x-intercept are at x = 0, x = -1.9, x = 0.35, and x = 1.5
Now,
h(x) = [tex]x^4[/tex] - 3x² + x
h'(x) = 4x³ - 6x
h''(x) = 12x² - 6 (positive)
So,
h(x) has a minimum value.
h'(x) = 0
4x³ - 6x = 0
4x³ = 6x
4x² = 6
x² = 6/4
x² = 3/2
x² = 1.5
x = ±√1.5
x = ±1.22
The minimum values are:
h(1.22) = [tex]x^4[/tex] - 3x² + x = -1
h(-1.22) = [tex]x^4[/tex] - 3x² + x = 1
The local minimum is 1.
From the graph, we see that,
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
Thus,
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
Increasing intervals are (-1.5, 0.5) and (1, ∞).
Decreasing intervals are (∞, -1) and (0, 1.5).
Learn more about functions here:
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To make his energy drink, Jerome used 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix?
Answer:
I believe the answer is 3:11.
A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
Find a mixture that will make the different shade of green that is more yellow.
Answer:
Use 1.75 cups of blue and 1 cup of yellow
Step-by-step explanation:
The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.
I hope this helps have a great day :)
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
(0,6)
(0,–6)
(6,0)
(–6,0)
Answer:
D: (-6,0)
Step-by-step explanation:
Set f(x) equal to 0 and solve for the values of x:
f(x) = (x+6)(x-3)
0 = (x+6)(x-3)
x+6=0 and x-3=0
x=-6 and x=3
Therefore, the x-intercepts are (-6,0) and (3,0). Because only (-6,0) is an option, then option D is correct.
Answer: (-6, 0)
Step-by-step explanation:
got it right on my test
carter construction has been asked to pave the parking lot of a local bank. how many square feet of pavement will they need to cover the whole parking lot?
A baby gains 11 pounds in its first year of life. The baby gained 45 pounds during the first four months and 3 pounds in
4
its second four months. How much did the baby gain in the last four months?
o 3 apo
pounds
O
1
3
2 pounds
O O
4 pounds
O 5 pounds
Answer:
4 pound is the right answer
Mark me as a brilliant
1 point
#8. What is the slope of a graph that passes through (5,5) and (5, -7)? *
0
-12
- 12/0
Undefined
12
Answer:
The answer is undefined
Because it passes through x
5 3/4 times 1 3/4 and simplified
Answer:
I believe the answer will be 27/3
Find the inverse of the function 6-5x
given the function f(x)=-2x^4-16x^3-36x^2, determine all intervals on which f is both decreasing and concave down
Answer:
(0, ∞)
Step-by-step explanation:
The only maximum, local or otherwise, is at x=0. Since the leading coefficient is negative, the function is decreasing and concave down for x-values greater than 0.
0 < x < ∞ . . . . . decreasing and concave down
__
Since the leading coefficient of this even-degree function is negative, it will have a generally ∩ shape. It will be decreasing to the right of any local maximum.
The first derivative is negative only for x > 0, so that is the only region where the function is decreasing. Since that x=0 is a local maximum, the function must be concave downward in that neighborhood.
__
The attached graph shows the function and its first and second derivatives. The function is concave down where the second derivative is negative, to the right of the right-most point of inflection.
_____
Additional comment
A graphing calculator provides a quick answer to a question like this. You can find the same answer algebraically.
The first derivative is ...
f'(x) = -8x^3 -48x^2 -72x = -8x(x^2 +6x +9) = -8x(x+3)^2
This has a zero at x=-3 where the graph of it touches the x-axis, but does not change sign. That means f(x) has a flat spot at x=-3, but is not decreasing except to the right of x=0.
The second derivative is ...
f''(x) = -24x^2 -96x -72 = -24(x^2 +4x +3) = -24(x +1)(x +3)
The second derivative will be negative for x < -3 and x > -1, to the left and right of the points of inflection. This means f(x) is concave upward only for -3 < x < -1, and concave downward everywhere else.
The function is concave downward and decreasing for x > 0.
The park charges $95.00 to reserve the location, and then $5.00
per person. Which expression represents the total cost for any
number of people n?
PLS HELP ITS DUE TMR
Answer:
95.00 + 5n
Step-by-step explanation:
It cost 95 dollars to reserve the location, first. Then, you have n amount of people coming and there is 5 per n, which is 5n. Therefore, 95 + 5n.
A camping leader bought the items listed in the table for his team.
What is the average cost of an item in his purchase?
$4.55
$5.93
$6.25
$6.35
Answer:
5.93
Step-by-step explanation:
6 x 9.45 = 56.7
10 x 6.95 = 69.5
14 x 5.50 = 77
9 x 3.10 = 27.9
56.7 + 69.5 + 77 + 27.9 = 231.1
6 + 10 + 14 + 9 = 39
231.1 / 39 = 5.925 = 5.93
If ab =12 and a²+b²=25, then (a+b)²= ?
Recall that
(a + b)² = a² + 2ab + b²
Then
(a + b)² = 25 + 2•12 = 49
Plot the points of the transformation Ry−axis (FGHIJ).
I will give brainliest!
Step-by-step explanation:
The y-axis reflection line will be horizontal. Take each plotted point and make it an equal distance from the y-axis (0, The reflection line will match the x-axis) you will then have the reflection.
[tex]\huge \dag \sf{Answer \: it}[/tex]
[tex]solve \: for \: x \\ \\ {2}^{ {x}^{2} } 2 \frac{3x \sqrt{3} }{2} = 8 [/tex]
Don't spam and Don't copy.
Need answer with explanation
Don't answer if you don't know
Best of luck guys
Answer:
Answer: x = √3 and 8/(3√3)
Step-by-step explanation:
[tex]{ \rm{({2}^{ {x}^{2} } )(2 \frac{3x \sqrt{3} }{2}) = 8}}[/tex]
• For the first bracket:
[tex]{ \rm{ {2}^{ {x}^{2} } = 8}} \\ \\ { \rm{ {2}^{ {x}^{2} } = {2}^{3} }} \\ \\ { \rm{ {x}^{2} = 3}} \\ \\ { \rm{x = \pm \sqrt{3} }}[/tex]
• For the second bracket;
[tex]{ \rm{ 2 \frac{3x \sqrt{3} }{2} = 8}} \\ \\ { \rm{3x \sqrt{3} = 8 }} \\ \\ { \rm{3x = \frac{8}{ \sqrt{3} } }} \\ \\ { \rm{x = \frac{8}{3 \sqrt{3} } }}[/tex]
Beth borrows $100 from her grandmother. She plans to pay her grandmother $15 a month until the money is paid back. Which equation can be used to determine how much Beth will owe, y , after 5 months?
Answer: The correct answer is y=15(100)−5
Step-by-step explanation:
The equation is written as y = 100 - 5x. Then the amount of money left after 5 months will be $25.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Beth acquires $100 from her grandma. She intends to pay her grandma $15 every month until the cash is taken care of.
Let 'x' be the number of months and 'y' be the remaining amount. Then we have
y = 100 - 15x
The amount of money left after 5 months is calculated as,
y = 100 - 15 (5)
y = 100 - 75
y = $25
The condition is composed of y = 100 - 5x. Then how much cash left following 5 months will be $25.
More about the linear equation link is given below.
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Bob is buying groceries at the store. The price before tax is $57, and after tax the total is $62.91. What is the sales tax applied to the groceries? Round to the nearest hundredth.
Due in 1 min!!!! Please help!!!
Answer:
7^-25
Step-by-step explanation:
7^1/5^5
7^5^-1*5
7^5^-5
7^5*-5
7^-25
Answer:
7
Step-by-step explanation:
[tex](7^{\frac{1}{5}})^{5}[/tex]
[tex]7^{\frac{1}{5}*{5}[/tex] -- simply, (5 cancels)
7¹
7
HELPPP ITS DUE TMRRRRRRRRR
Answer: I think that it's -125/27
Step-by-step explanation: Convert into a complex fraction (-5/3)^3 and then cube the 5 and 3 and don't change the negative sign. The answer then is -125/27
Hope it helps.