Answer:
y = -¹/₂x + 5Step-by-step explanation:
The product of slopes of perpendicular lines is -1
y = 2x − 4 ⇒ m₁ = 2
m₁m₂ = -1
2m₂ = -1
m₂ = -¹/₂
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = -¹/₂
(4, 3) ⇒ x₁ = 4, y₁ = 3
So the equation in point-slope form:
y - 3 = -¹/₂(x - 4)
Therefore:
y - 3 = -¹/₂x + 2
y = -¹/₂x + 2 + 3
y = -¹/₂x + 5Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks.
He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.
15 1/3, 5 1/4, 5 2/3, x, =, and +.
The equation that represents the problem is
a. 15 1/3 = x - 5 1/4 - 5 2/3
b. x = 15 1/3 + 5 1/4 + 5 2/3
c. x + 15 1/3 = 5 1/4 + 5 2/3
d. 15 1/3 = 5 1/4 + 5 2/3 + x
Answer: d. 15 1/3 = 5 1/4 + 5 2/3 + x
Step-by-step explanation:
15 1/3 (total) = 5 1/4 (first week) +5 2/3 (second week) +x (third week)
When you add the amount of time Rodrigo practiced each week, you get the total amount of time he practiced
help me pls kinda stuck lol
Answer:
see explanation
Step-by-step explanation:
(a)
To find the x- intercepts , let y = 0 , that is
6x - x² = 0 ← factor out x from each term
x(6 - x) = 0
Equate each factor to zero and solve for x
x = 0
6 - x = 0 ⇒ x = 6
Coordinates of P (6, 0 )
(b)
The axis of symmetry is a vertical line, positioned at the midpoint of the zeros
x = [tex]\frac{0+6}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Equation of axis of symmetry is x = 3
(c)
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 6x - x² = - x² + 6x ← is in standard form
with a = - 1, b = 6 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3
Substitute x = 3 into y = 6x - x² for y- coordinate
y = 6(3) - 3² = 18 - 9 = 9
coordinates of maximum point = (3, 9 )
I need help how to get the answer please help!
Answer:
w=10
Step-by-step explanation:
You would have to set 5w-4=46.
5w-4=46
Add 4 to both sides
5w=50
Divide both sides by 5
w=10
Answer:
W=10
Step-by-step explanation:
5w-4 and 46 are vertical angles which means they are congruent, so you set them as equal to each other and alive from there
1440 tons of grain where brought to a silo over two days. On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in. How many tons where delivered on the first day
Answer:
1152 tons of grains
Step-by-step explanation:
We are told in the above question:
Total number of grains = 1440 tons of grain
On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.
Hence,
The number of grains brought in during the first day = 80% × 1440 tons
= 80/100 × 1440 tons
= 1152 tons of grains
I need help PLEASE !!!! Write a cosine function that has an amplitude of 2, a midline of 4 and a period of 4.
Answer:
[tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]
Step-by-step explanation:
The standardized cosine function is ;
[tex]\mathbf{y = Acos (Bx + C) +D}[/tex]
Amplitude |A| = 2
Period [tex]\dfrac{2 \pi}{B }= 4[/tex]
2π = 4B
[tex]B = \dfrac{2 \pi}{4}[/tex]
[tex]B = \dfrac{\pi}{2}[/tex]
Midline y = 4; D = 4
Phase shift; since no phase shift is given; then C = 0
The cosine function: [tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]
Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven. How much would a taxi ride cost if Tamika is riding for 5 miles? How much would a taxi ride cost that is m miles long?
Answer:
m= 7.50
Step-by-step explanation:
0.75x5=4.00
4.00+3.50=7.50
A taxi ride cost if Tamika is riding for 5 miles will be $7.25.
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven.
Let "m" be the miles Tamika is riding along.
Total additional charges = m *0.75
pick up charges = 3.50
So, Total charges Tamika has to pay for m miles = 0.75*m + 3.50
For m = 5 miles
Tamika has to pay for 5 miles = 0.75 * 5 + 3.50
Tamika has to pay for 5 miles = 7.25
Therefore, 7.25$ would a taxi ride cost if Tamika is riding for 5 miles.
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11 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?
please help me on this will give you brainliest
Answer:
1.41 x 10 to the 7th power
Step-by-step explanation:
3 x 10 to the fifth is 300000
300000 x 47 = 14100000 in 47 seconds
14100000 = 1.41 x 10 to the 7th power
Hope that helps!
Answer:
1.41*10^7 or 14,100,000
Step-by-step explanation:
3*10^5*47=1.41*10^7
Algebraic Expression
x + y + 2
Constants | Variable/s/term/s Degree of term
Constants : 1 (the only constant term is 2)
Variables : 2 (x and y)
Terms : 3 ( x, y and 2)
Degree of term : 1
Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2
Answer:
[tex]F(x) = f \circ g[/tex]
[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]
Step-by-step explanation:
Given
[tex]F(x) = x + 2[/tex]
Required
Express as
[tex]F(x) = f \circ g(x)[/tex]
In functions:
[tex]f \circ\ g(x) = f(g(x))[/tex]
So, we have:
[tex]f(g(x)) = x + 2[/tex]
g(x) can be set to x and f(x) to x + 2
Hence:
[tex]F(x) = f \circ g[/tex]
When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]
April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?
Answer:
$40.55
Step-by-step explanation:
helppppppppppppppppp
Answer:
16.
Step-by-step explanation:
What does 75% Off mean? It means 75% of the price is subtracted. So find 75% of 64.
Here is our equation: 75/100 x 64 = 48.
So 48 dollars is going to be subtracted from 64, which gives us 64-48=16.
So the price of the wedding cake during the sale is 16.
Jacob has 3 times as many football cards as Eli. Eli has 39 football cards. Tara has 111 football cards. Who has more football cards, Jacob or Tara? How many more?
Answer:
Jacob
Step-by-step explanation:
39*3 = 117
because it says Jacob has 3 times as many football cards as eli... Eli has 39 so 39*3 is 117 and 117 is more than 111
Which equation does the model below represent? pls help !
Answer:
the answer to this is d
Step-by-step explanation:
x-3=5
Harold cut 18 1/2 noches of ropero that was 60 inches long how much is the length of the remaining rope un inches written un decimals f From
Answer:
41.5
Step-by-step explanation:
If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope
Given the expression below, identify its factors.
3a + 4b– 7c - 12
Answer:
i dont think you can solve this because
The expression is not factorable with rational numbers.
there are no like terms
what would be the reminder of 20,000 divided by 24 ?
Answer:
I think 2500..not sure tho
Step-by-step explanation:
In an inverse variation, x = -6 when y = -1/2. What is the value of y when x = 4?
Answer:
[tex]9 \frac{1}{2} [/tex]
Step-by-step explanation:
just add 5.5 to each number and make it in fraction
hop it helps you
please mark me as brainlist
What is a equivalent expression to this expression?c(4a+b)
Answer:
The answer is 4ac+bc u have to multiply
Find the circumference of the circle
Answer:
43.95 m OR (14 x pi)m
Step-by-step explanation:
Circumference = 14 x 3.14
Circumference = 43.96 m
Hope that helps!
Problem 44. The sum of a certain quantity "p" together with two-third of that number, and one-third of that number, becomes 234. What is the quantity "p"? (HINT: Write the equation out and solve)
Answer:
[tex]p=117[/tex]
Step-by-step explanation:
Given number is [tex]p[/tex].
Two-third of the number = [tex]\frac{2}{3}p[/tex]
One-third of the number = [tex]\frac{p}{3}[/tex]
The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.
[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]
Ms. Potts washed 1/4 of her laundry. Her son washed 3/7 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
Son washed moreRemaining 9/28 of the laundryStep-by-step explanation:
Make denominators common to see the difference in fractions:
1/4 = 7/283/7 = 12/28Son washed more laundry as 12/28 > 7/28
Together they washed:
7/28 + 12/28 = 19/28 of the laundryRemaining part is:
1 - 19/28 = 28/28 - 19/28 =9/28 of the laundryStep-by-step explanation:
9/28 is your answer......
A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?
The amount of money that will go to the school is $ 3816.00
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sale price of set of pens = $ 5.25
The cost price of set of pens = $ 1.80
The profit of pens = sale price of set of pens - cost price of set of pens
= $ 5.25 - $ 1.80
= $ 3.45
Now , the equation will be
Forty percentage of profit = ( 40 / 100 ) x $ 3.45
= $ 1.38
The amount that will go to the school =
Forty percentage of profit + cost price of set of pens
The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80
= $ 3.18
The equation will be ,
Now , the total number of sets of pens sold = 1200
And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200
The total cost price of 1200 sets of pens = $ 1.80 x 1200
= $ 2160
The total profit of 1200 sets of pens = Forty percentage of profit x 1200
= $ 1.38 x 1200
= $ 1656
Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens
The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656
The amount that will go to the school for 1200 sets of pens = $ 3816
Therefore ,
The amount that will go to the school = $ 3816.00
Hence , The amount of money that will go to the school is $ 3816.00
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2-2 and its reciprocal
Answer:
2^-2= 4^-1 =1\4
1\4=4
so I hope you get to it
HELP ME ASAP! I have this assignment as missing ahhhh!! I'll mark brainliest
In the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD.
What is the length of side BE?
Answer:
[tex] 3\frac{1}{3} [/tex]
or
[tex] \frac{10}{3} [/tex]
or
[tex]3.333[/tex]
Step-by-step explanation:
These two triangles are similar. Since they share two angles, the right angle and angle EBD and ABC are congruent. By AA similarity rule, they are similar triangles.
Since they are similar we can set up a proportion of the triangles since similar triangles have proportional side length.
Side AC corresponds with DE
Side AB corresponds with BE
Side BC corresponds with BD
So we can use this proportion theorem, or angle bisector theorem
[tex] \frac{ac}{ab} = \frac{de}{be} [/tex]
Plug in the numbers.
[tex] \frac{3}{5} = \frac{2}{x} [/tex]
Cross multiply
[tex]3x = 10[/tex]
[tex]x = \frac{10}{3} [/tex]
As a decimal it equal
[tex]3.333[/tex]
or
[tex] 3\frac{1}{3} [/tex]
m + 1 = 8
But what’s the m=__
Answer:m= 7.
Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7
Answer: m = 7
Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.
In this problem, since 1 is being added to m, in order to get m
by itself, we must subtract 1 from the left side of the equation.
If we subtract 1 from the left side of the equation, remember that
we must also subtract 1 from the right side of the equation.
So on the left, +1 and -1 cancel each other out
and on the right, 8 - 1 simplifies to 7.
So m = 7.
Alex created a map of his neighborhood using a scale of 1 inch = 2 blocks. If his street is 6 blocks long, how long will it be on the map?
a ) 12 inches
b ) 3 inches
c ) 6 inches
d ) 2 inches
Plzzzzz help!
What is the perimeter of the composite figure?
Answer:
107.5 cm
Step-by-step explanation:
find the length of the missing side of triangle which is 22.5 rounded then add all the sides together
How many solutions does -7+5x=5x+9
Answer:
There are no solutions. This question is impossible.
Step-by-step explanation:
w is directly proportional to u if w=5 when u=3,find u when w is =2/7
Answer:
u = 6/35
Step-by-step explanation:
w = k * u
w = ku
Where
k = constant of proportionality
if w=5 when u= 3
w = ku
5 = k * 3
5 = 3k
k = 5/3
find u when w is =2/7
w = ku
2/7 = 5/3 * U
2/7 = 5/3u
u = 2/7 ÷ 5/3
= 2/7 × 3/5
= (2*3)/(7*5)
= 6/35
u = 6/35