Answer:
x = 6, and x = 1
Step-by-step explanation:
If each expression equals y, the simplest approach would be to equate them;
x^2 - 5x + 7 = 2x + 1 => Isolate all the terms on one side
x^2 - 5x - 2x + 7 - 1 = 0 => Combine like terms
x^2 - 7x + 6 = 0 => solve using quadratic equation
x = ( - (- 7) + √( - 7)^2 - 4 * 1 * 6 )/ 2 * 1
= 7 + √25 / 2 = 7 + 5 / 2
= 6
x = ( - (- 7) - √( - 7)^2 - 4 * 1 * 6 )/ 2 * 1
= 7 - √25 / 2 = 7 - 5 / 2
= 2 / 2 = 1
A model rocket is launched upward at a speed of 128 feet per second from a platform 15 +feet above the ground. Choose a statement about the rocket's flight The rocket will reach its maximum height after 7 seconds. The rocket will reach its maximum height after 5 seconds. The maximum height that the rocket will reach is 191 feet. The maximum height that the rocket will reach is 271 feet.
Answer:
The maximum height that the rocket will reach is 271 feet.
Step-by-step explanation:
We first calculate the time, t it takes the rocket to reach maximum height from v = u - gt. Since u = initial velocity = 128 ft/s, v = velocity at maximum height = 0 ft/s and g = acceleration due to gravity = 32 ft/s².
So, v = u - gt.
t = (u - v)/g
= (128 ft/s - 0 ft/s)/32 ft/s²
= 128 ft/s ÷ 32 ft/s²
= 4 s.
We calculate the maximum height from
y - y₀ = ut - 1/2gt² where y₀ = 15 ft and all other variables are as above.
Substituting these values into the equation, we have
y - y₀ = (u - 1/2gt)t
y - 15 ft = (128 ft/s - 1/2 × 32 ft/s² × 4 s) × 4 s
y - 15 ft = (128 ft/s - 64 ft/s)4 s
y - 15 ft = 64 ft/s × 4 s
y - 15 ft = 256 ft
y = 256 ft + 15 ft
y = 271 ft
So, the maximum height that the rocket will reach is 271 feet.
The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula Chfp, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. Solve this formula for f, the number of grams of fat contained in a serving of food.
Answer:
f = [tex]\frac{1}{9}[/tex] [C - 4(h - p)] grams
Step-by-step explanation:
Given that:
C = 4h + 9f + 4p
where: C is the calorie count contained in the serving, h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving.
To solve for the number of grams of fat, then;
C - 4h - 4p = 9f
C - 4(h - p) = 9f
Divide through by 9, so that:
[tex]\frac{C - 4(h - p)}{9}[/tex] = [tex]\frac{9f}{9}[/tex]
[tex]\frac{C - 4(h - p)}{9}[/tex] = f
∴ f = [tex]\frac{1}{9}[/tex] [C - 4(h - p)]
The number of grams of fat, f, contained in a serving of food is [tex]\frac{1}{9}[/tex] [C - 4(h - p)]
need help pleasee asap
Answer:
12. 24
13. -5
14. -5
15. -40
16. 5
help me answer
Kendal is waiting at a crosswalk 540 meters away from the library. She begins riding her bike toward the library and then passes the library at a constant rate of 6meters/second.
Kendal will be 60 meters away from the library after _______ second and agin after ______ seconds.
Answer:
Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.
Step-by-step explanation:
6s -540 = 60 or 6s - 540 = -60
First equation
addition property of equality: 6s -540 + 540 = 60 + 540
simplify: 6s = 600
division property of equality: 6s/6 = 600/6
simplify: s = 100
Second equation
addition property of equality: 6s -540 + 540 = -60 + 540
simplify: 6s = 480
division property of equality: 6s/6 = 480/6
simplify: s = 80
PLEASE HELP! WILL MARK BRAINLIEST!!!
Answer: 1, 3, 4, and 5
Step-by-step explanation:
2x - y = 8
x + y = 4
How to find the solution using substitution
Answer:
x =4 & y=0
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
Answer:
X=4, Y=4
Step-by-step explanation:
First Solve for y
y= 4-x
Sub that in for y on the other equation.
2x-4-x=8
x=4
(PLs SOME ONE HELP MEEEEEEEEEEE)
Solve the notable products (1/7x-1/7)
Answer:
-1
Step-by-step explanation:
Because
how can you find a ratio in a bar graph
Divine the total number of the entire chart by the number of a single line or bar to give you the ratio in a bar or line chart. For example, if a bar or line represented 5 in a chart with a total of 30, you would divide 30 by 5. This would give you a result of 6. Therefore, the ratio would be 6:1.
What does the word range mean in algebra
Answer:
The difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6. Range can also mean all the output values of a function.
Step-by-step explanation:
Hope this helps!
The range is the set of all possible output values
You have 19 digs for your current volleyball season. There are 5 games left in the season. You want to break your previous record of 26 digs in a season. Write and solve an inequality that represents the number x of digs you must get in the remaining 5 games to break your record.
An inequality that represents the situation is
[blank]>26. The solution of the inequality is
[blank].
19 + X > 26
X > 7
To break your record you need more than 7 digs
Line segment XY has endpoints X(5, 7) and Y(– 3, 3). Find the equation for the perpendicular bisector of line segment XY.
A. 2x + y = 7
B. x + 2y = 11
C. 2x – y = – 3
D. x – 2y = – 9
Answer:b
Step-by-step explanation:
The equation for the perpendicular bisector of line segment XY is 2x + y = 7, the correct option is A.
What is the standard equation of a line?The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The line segment XY has the points X(5, 7) and Y(–3, 3).
The slope of the line is,
m = ( 3 - 7) /( -3 - 5)
m = -4 / -8
m = 1 /2
The product of the slope of a line and a line perpendicular to it is -1.
( 1/2) * m' = -1
m' = -2
As it is a bisector , the midpoint of X and Y will be the point on the line.
Midpoint of XY is ( ( 5 -3)/2 , (7+3)/2 )
Midpoint of XY is ( 1 , 5)
The equation of the perpendicular bisector of line segment XY is,
y = -2x +c
5 = -2 + c
c = 7
So, the equation is,
y = -2x +7
2x +y = 7
To known more about standard equation of a line
https://brainly.com/question/12452575
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What is the multiplicative inverse of 3/7 ? A) −7/3 B) −3/7 C) 1/7 D) 7/3
Answer:
B
Step-by-step explanation:
Answer:
its 7/3 . multiplicative inverse is just its opposite
15 Points Pls Help
The police have determined that a car going 60 mules per hour will skid 155 feet on a dry road and a car going 73 mph will skid 195 feet. Using this information, how far would we expect a car going 50 miles per hour to skid on the dry road?
A. 124 ft
B. 135 ft
C. 142 ft
D. 145 ft
Paula caught a tarpon with a weight that was 11 times as great as the weight of a permit fish she caught. The total weight of the two fish was 168 pounds.
How much did each fish weigh?
The permit fish weighed ___
pounds.
The tarpon weighed ___
pounds.
please help with algebra
1) Mrs.Galicia sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=x^2-9x-10
Reading Game: R(d)=2x+10
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Step-by-step explanation:
Given the following expression;
Math Game: M(d)=x^2-9x-10
Reading Game: R(d)=2x+10
x is the number of days since the games went on sale
In order to determine after how many days the revenue for each game wil be the same, we will equate M(d) to R(d)
M(d) = R(d)
x^2-9x-10 = 2x+10
x^2-9x-10 -2x-10 = 0
x^2-11x-20 = 0
factorize
x = 11±√121-4(-20)/2
x = 11±√121+80/2
x = 11±√201/2
x = 11±37.16/2
x = 11+37.16/2
x = 48.16/2
x = 24.06
Hence the revenue for each game will be the same after 24 days
It takes about 13 days for the revenue for each game the same.
Revenue is the amount of money made from selling a particular amount of products.
Given that the revenue is given by:
Math Game: M(d)=x²-9x-10
Reading Game: R(d)=2x+10
For both games to have the same revenue, hence:
M(d) = R(d)
x² - 9x - 10 = 2x + 10
x² - 11x - 20 = 0
x = -1.6 or x = 12.6
Since the number of days cannot be negative, hence it takes about 13 days for the revenue for each game the same.
Find out more at: https://brainly.com/question/19682087
25 times 10 to the power of 6 as an ordinary number
Answer:
25,000,000
Step-by-step explanation:
Please explain how to do this
Answer:no
Step-by-step explanation:
U add shush and shush
105:6 List three equivalent ratios that compare the number of w's below to the number of g's.
wwwwwwww gggggggggggggggggggggggg
Answer:
Hope this helps any! I hope this is right!
Step-by-step explanation:
8:24
4:12
16:48
Consider the polynomial function g(x) = 5x + 25 + 923
12x – 125.
What is the end behavior of the graph of g ?
Answer:
We need help someone please help us please
Step-by-step explanation:
How many solutions does this equation have?
-4u = -4u - 2
HELP MEEEE
4 Which value of x makes the equation 0.25(x+40) = 3+0.75(x - 4) true?
Answer:
20
Step-by-step explanation:
0.25(x+40) = 3+0.75(x - 4)
2.39 x 4.37 =
Please solve for me
Answer:
10.4443
I hope this helps :D have a good day!
What is the slope of this equation? y= -1/2x −3 option -3 0 -1/2
Answer:
The slope is -1/2
The slope is after the "y=" but before the "x" variable.
is 1.6x – 2.4y = 4 linear or nonlinear
Answer:
Nonlinear have a good day
Step-by-step explanation:
Bernardo is saving up money to pay off a debt. His father loaned him $90 and is charging him $1 interest each day. Bernardo earns $20 a day mowing lawns. He only wants to use half of his daily earnings to pay off his debt. How many days will it take io so eliminate what the son owes his father.
Answer:
It will take 10 days
Step-by-step explanation:
Here, we want to know the number of days it will take for Bernardo to clear the debt he owes his father.
We proceed as follows;
Let the number of days be x
So after x days, there will be an interest of x * 1 = $90
So the amount of money he owes his father after x days will be $(90 + x)
After x days, the amount he would have earned from mowing lawns will be x * 20 = $20x
He intend using half of this to clear the loan
Half of this is 20x/2 = $10x
We know that this amount is enough to clear the loan, so we equate this value to the amount he wants to use to clear the loan
So;
90 + x = 10x
90 = 10x - x
9x = 90
x = 90/9
x = 10
Use complete sentences to describe the inverse of a function. ( I'm doing inverse functions with sin and inverse sin or arcsin idk)
Answer:
The relation found by interchanging the range and the domain of a given function.
Step-by-step explanation:
find cube root of 175616 ??
i will mark u as brainlist if u would give a correct answer with Explanation
Answer:
56
Step-by-step explanation:
Cube root of 175616 by prime factorization method is 56
Solution:
To find cube root of 175616 by prime factorization method
A number that must be multiplied by itself three times to equal a given number is called cube root
Prime factorization method:
Prime factorization is a number written as the product of all its prime factors.
In order of finding cube root by prime factorization we use the following steps:
Step I : Obtain the given number
Step II : Resolve it into prime factors.
Step III : Group the factors in 3 in such a way that each number of the group is same
Step IV : Take one factor from each group
Step V : Find the product of the factors obtained in step IV. This product is the required cube root
Prime factorization of 175616:
\text{ prime factors of 175616 } = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7 prime factors of 175616 =2×2×2×2×2×2×2×2×2×7×7×7
Thus we get,
\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7}
3
175616
=
3
2×2×2×2×2×2×2×2×2×7×7×7
Make the groups of 3 of equal numbers
\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{2 \times 2 \times 2 \times } \times \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{7 \times 7 \times 7}
3
175616
=
3
2×2×2
×
3
2×2×2×
×
3
2×2×2
×
3
7×7×7
So there are 4 equal groups. So from that group take one factor out
\sqrt[3]{175616} = 2 \times 2 \times 2 \times 7 = 56
3
175616
=2×2×2×7=56
Thus Cube root of 175616 by prime factorization method is 56
please mark me as a brainlist
Hayley eats oatmeal for
breakfast every day. She
checked her pantry this
morning, and realized that she
had only 1/5 of a cup of instant
oatmeal and 4/5 of a cup of
old-fashioned oatmeal. How
much oatmeal did Hayley have
in her pantry?
Answer:
1 cup
Step-by-step explanation:
1/5 + 4/5 = 5/5 = 1 cup
Evaluate the expression when a=3, b=2, and c=12
6+a
5b
C-1
Ct5
Can I have the answer to these? Please!!
Answer:
Step-by-step explanation:
6 + a
Putting value of a
6 + 3 = 9
5b
Putting value of b
5(2) = 10
C - 1
Putting value of c
12 - 1 = 11
A bakery sold 145 chocolate cupcakes in a day, which was 29% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answer:
500 cupcakes
Step-by-step explanation:
Given that the 145 cupcakes is 29% of the total number of cupcakes sold that day,
29% --- 145 cupcakes
The total number of cupcakes sold would be 100%.
1% --- 145 ÷29= 5 cupcakes
100% --- 100(5)= 500 cupcakes
Thus, the bakery sold 500 cupcakes that day.
Answer:
Step-by-step explanation:
500 cupcakes
Step-by-step explanation:
Given that the 145 cupcakes is 29% of the total number of cupcakes sold that day,
29% --- 145 cupcakes
The total number of cupcakes sold would be 100%.
1% --- 145 ÷29= 5 cupcakes
100% --- 100(5)= 500 cupcakes
Thus, the bakery sold 500 cupcakes that day.