Answer:
470.1
Step-by-step explanation:
Since this is a parabola that opens down, the maximum height is where the graph has a horizontal tangent line.
This is where the derivative=0
Since it is a parabola that opens down, we do not need to test the sides of the point where the derivative=0 as the vertex is a local maximum and the only point with a horizontal tangent.
y=[tex]-16x^2+146x+137[/tex]
y'=[tex]-32x+146[/tex]=0
-32x+146=0
x=[tex]\frac{146}{32}[/tex]=[tex]\frac{73}{16}[/tex] This is the x-coordinate of the vertex
Now plug this back into the original equation to find the maximum height.
f(73/16)=[tex]-16(\frac{73}{16})^2+146(\frac{73}{16} )[/tex]+137
=[tex]\frac{-73^2}{16} +666.125+137[/tex]
=-333.0625+666.125+137
=470.0625
To the nearest tenth this is 470.1
A house is sold for 8% above its original price. If it was sold for £378000 then calculate its original price
Answer:
$350,000
Step-by-step explanation:
lets say the original price is x, then 378000=1.08x, divide by 1.08 to get 350000
Are the ratios 17:10 and 2:1 equivalent?
Answer:
No, they don't have the same valueStep-by-step explanation:
Are the ratios 17:10 and 2:1 equivalent?
17 : 10 = 1.7
2:1 = 2
3x+5y=-9
-6x-10y=18
elimantion substuion method
Answer:
Infinitely many solutions
Step-by-step explanation:
2(3x + 5y = -9)
6x + 10y = -18
-6x - 10y = 18
0 = 0
what is the improper fraction 2 7/8what is the improper fraction 8 2/3
Answer:
1. 23/8
2.26/3
Step-by-step explanation:
Solve the inequality *NUMBERS ONLY, NO WORDS*
n/4 - 1 ≥ 1
Answer:
[tex]n\geq 8[/tex]
Step-by-step explanation:
n/4-1[tex]\geq[/tex]4
n-4[tex]\geq[/tex]4 (move constant to right)
n[tex]\geq[/tex]4+4 (calculate)
n[tex]\geq 8[/tex]
4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.
Answer:
120$
Step-by-step explanation:
what is the total length of the two ladders 11.4 ft. 5.8ft.
Answer:
17.2ft
Step-by-step explanation:
just add
11.4+5.8=17.2
what percentage of this grid is shaded
how many more squares need to be shaded so that 60% of the grid is shaded?
Answer:
44%, and 4
Step-by-step explanation:
The grid has 5 rows and 5 columns so we have 5*5 = 25 squares.
25 squares represent 100 % of the grid
a) In the grid 11 of the 25 total squares are blue, so if
25 squares are 100%
11 squares will be x%
x= (11* 100) / 25 = 1100/ 25 = 44 %
b) we find the number of squares that gives us 60 %
25 squares are 100%
x squares will be 60%
x= (60*25)/ 100 = 15
The question is " How many more squares " so we have to compare with the 11 given ones in part a)
15 -11 = 4
4 more squares will give 60 % blue grid.
ryan lives 3 1/4 miles from school. kayla lives 2 3/4 miles from school. how much farther from school does ryan live than kayla?
2 X a =11+11 ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
2 × a = 11 + 11 ---> 2a = 22 ---> a = 22/2 = 11
Follow me and hope it helps #The spirit of learningg/(g ^ 2 + 4g) - g/((g + 4) ^ 2) =?
Simplify.
Answer:
[tex] \frac{4}{(g + 4) ^{2} }[/tex]
Step-by-step explanation:
Factor the expressions that are not already factored in g/g² + 4g.[tex] \frac{g}{g(g + 4)} - \frac{g}{(g + 4) ^{2} } [/tex]
Cancel out g in both numerator and denominator.[tex] \frac{1}{g + 4} - \frac{g}{(g + 4) ^{2} } [/tex]
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of g+4 and (g+4)² is (g+4)². Multiply 1/g + 4 times g + 4/g + 4.[tex] \frac{g + 4}{(g + 4) ^{2} } - \frac{g}{(g + 4) ^{2} } [/tex]
Since g + 4/(g + 4)² and g/( g + 4)⁴ have the same denominator, subtract them by subtracting their numerators.[tex] \frac{g + 4 - g}{(g + 4) ^{2} } [/tex]
Combine like terms in g+4−g.[tex] \frac{4}{(g + 4) ^{2} } [/tex]
Expand (g + 4)².[tex] \frac{4}{g^{2} + 8g + 16 } [/tex]
Hope It's Help
Find the equation of the line.
Use exact numbers.
y = ___x + ___
Step-by-step explanation:
formula: y=mx+b
First you gotta find M witch is Slope.
B is the y-intercept which is -2
then you have to do rise/run
so up 2
right 3
= 2/3
so your answer would be
y=2/3-2 because you can't simplify 2/3
If d varies directly as t and d=20.5 when t =12 find the value of constant
Answer:
12÷20.5= 0.5953658537
PLEASE HELP
What is the slope of the line?
Step-by-step explanation:
you know what the slope of the line is ? it is the inclination of the line. how strongly is it going up or down, or is it maybe flat ?
in the formulas the slope is always the factor of x. the slope is excised as ratio of y coordinate change / x coordinate change when going from one point to another.
we see here 2 clear points in my opinion :
(0, -3) and (3, 0)
that is where the line crosses the y and the coordinate axis.
so, going from (0, -3) to (3, 0) :
x changes by +3 (from 0 to 3)
y changes by +3 (from -3 to 0).
so, the slope is
+3/+3 = 1
The marked price of a stove at Courts was $1,200. A lady bought the stove by making a deposit of $400, and paying $80 per month for one year and a half. How much would she have saved by paying cash?
she would have saved $650
19. There are 1,200 students at Thomas School, Each
day, students take 5 classes and teachers teach 4 classes. If each class
has 30 students and 1 teacher, how many teachers teach at the school?
Answer: 40 teachers
Step-by-step explanation:
Do 1,200 Divided by 30 because thats the amount of students
Why is it possible for condition means to differ at the end of an experiment even if the independent variable had no effect
The HCF of 50 and 80
Can someone help me pls I’ll give brainliest to whoever is right no scam links or your getting reported only answer if you know
Answer: 3b + 125 = 157.97
Step-by-step explanation:
The two things contributing to the total cost are the cost of the bags of dog food and the adoption fee, so they need to be added together.
There are 3 bags of dog food at an unknown price, so we need to multiply 3 by an unknown value represented by the variable b.
The $125 adoption fee should be added to the price of the bags of dog food, so add 125. This creates an equation of 3b + 125 = 157.97
PLEASEEEEEEE HELP ME GUYS!!
pls help
The volume of a soap bubble is 62.3mm^3 Find the radius and diameter of the soap bubble. Use 3.14 for pie.
The radius of the bubble is about mm.
(Round to the nearest tenth as needed.)
Answer:
what is the radius of 2
Step-by-step explanation:
(-2.05) - (-5)
explain and show how u did this
Answer:
2.95
Step-by-step explanation:
When we have a problem like this (-2.05)-(-5)
It becomes -2.05+5 because two negatives make a positive, then we add them and we get 2.95
Need help with this pls asap
Answer:
x=3-2i
Step-by-step explanation:
According to my calculations, this should be good
what’s the operation
inverse or reciprocal
p=??
Answer:
The inverse means opposite operation, such as addition and subtraction are inverse operations, whereas the reciprocal refers to the inverse of any value, also called the multiplicative inverse. What is Another Word for Multiplicative Inverse? Reciprocal is another word for the multiplicative inverse.
Step-by-step explanation:
Which of the following is the equation of a line that passes through the point
(1.2) and is parallel to the x-axis?
A. y = 1
B. y = 2
C. x = 1
D. X = 2
Answer: A line that is parallel to the x-axis is a horizontal line. In this case, the horizontal line passes through a point, (1,2). All points on a horizontal line will have the same y value. Therefore, y=2 for every point on this line and that is the equation of the line.
Step-by-step explanation i Hope this helps
Solve the following system of equations graphically on the set of axes below.
y=x−2
y= - 1/5x-8
ROUND TO THE NEAREST WHOLE NUMBER
16968.3
Answer:
16968
Step-by-step explanation:
Answer:
16,968
Hope this helps :)
Determine the solution and the reasoning that justifies the solution to the systems of equations.
O (2,7), because this point is true for both equations
O (4, -6), because this point lies only on one of the two lines
(4, -6), because this point makes both equations true
O (2,7), because the lines intersect the x-axis at these points
Answer:
A or CStep-by-step explanation:
The system is not given to give exact answer.
Possible solution is:
A. (2,7), because this point is true for both equations
Yes, same point lies on both lines, it is their intersectionB. (4, -6), because this point lies only on one of the two lines
No, this is not a solution to both equationsC. (4, -6), because this point makes both equations true
Yes, same point lies on both lines, it is their intersectionD. (2,7), because the lines intersect the x-axis at these points
No, this is not confirming any solutionA savings account increases from 150$ to 153$. What is the percent increase of the savings account?
Answer:
The correct answer would be 2.00%
I need help brainiest to the correct answer!
#1
y=4x=5y is decreasing
5-4=1[tex]\\ \sf{:}\dashrightarrow \dfrac{x-y}{x}(100)=\dfrac{1}{5}(100)=1(20)=20\%[/tex]
#2
x=5y=8y is increasing
8-5=3[tex]\\ \sf{:}\dashrightarrow \dfrac{3}{8}(100)=37.5\%[/tex]