Answer:
Step-by-step explanation:
Find the option below:
h(x) = –2x2 – 13x + 6
h(x) = –2x2 – x + 3
Reservoir A releases less water than Reservoir B over 1 week.
Reservoir A releases the same amount of water as Reservoir B over 1 week.
Reservoir A releases more water than Reservoir B over 1 week.
Given the expressions
Reservoir A f(x) = x^2 – 7x + 5
Reservoir B g(x) = 3x^2 – 6x+2
We are to find the f=difference between the functions h(x) = f(x)-g(x)
Substitute
h(x) = x^2 – 7x + 5 -(3x^2 – 6x+2)
h(x) = x^2 – 7x + 5 -3x^2 +6x-2
collect like terms
h(x) = x^2 -3x^2 +6x– 7x+ 5-2
h(x)= -2x^2-x+3
Next is to know the amount of water released by Reservoir A after 1 week. To do that we will substitute x = 1 into h(x)
h(x)= -2x^2-x+3
h(1)= -2(1)^2-1+3
h(1)= -2-1+3
h(x)= -3+3
h(x)= 0
This shows that Reservoir A releases the same amount of water as Reservoir B over 1 week
Answer:
a,c,b
Step-by-step explanation:
i took the test
Bus A and Bus B leave the bus depot at 3 pm.
Bus A takes 25 minutes to complete its route once and bus B takes 30 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
im assuming that the buss only repeat the rout once? so in total they do 2 routes?
bus a at 3:50 and bus b at 4:00
How does the Electoral College work?
A
It guarantees that the winner of the popular vote wins the presidency.
B
The Electoral College casts its votes on the first Tuesday in November.
The Electoral College casts its votes on January 20.
D
Each state casts a number of electoral votes equal to their members of Congress.
Answer:
D
Step-by-step explanation:
Help me on this please
Answer:
D. y = 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Any parallel line to the x-axis will be a horizontal line.
Horizontal lines have a slope of 0.
In that case:
y = 0x + b
y = b
The only answer that fits in the y = b format is D.
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft
*the figure is shown in the attachment
Answer/Step-by-step explanation:
Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.
Find the value of n by creating an equation to solve for n:
XY = (9n + 12) ft
XZ = (15n - 6) ft
XY = XZ (2 equal lengths of isosceles ∆)
9n + 12 = 15n - 6 (substitution)
Combine like terms
9n - 15n = - 12 - 6
-6n = -18
Divide both sides by -6
-6n/-6 = -18/-6
n = 3
Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.
XY = (9(3) + 12) ft
XY = (27 + 12) ft
XY = 39 ft
Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.
XZ = (15(3) - 6) ft
XZ = (45 - 6) ft
XZ = 39 ft
Answer:
1st box: 3
2nd box: 39
3rd box: 39
Have a great day, remember to wear a mask! :)
What is the growth of the rule y=3x+5 ?
Need a number answer
Given f(x) = -x + 3, solve for x when f(x) = 4.
Answer:
x=-1
Step-by-step explanation:
f(x)=f(x)
-x+3=4
Find the tip amount of a $30 bill with a 20% tip
Answer:
$6
Step-by-step explanation:
Ok, first thing is first, we need to find what 20% of 30 is. We do that by setting 20% in decimal form and multiplying that by 30.
So first,
0.20 * 30
We cross out the zero in 30 and move the decimal point one spot to the right in 0.20. So now we have:
= 2.0 * 3
Which really is,
= 2 * 3
Which equals,
6
Or,
$6
Yes! We got our answer! Nice work!
(The total bill including the tip would be $36 in case you needed to know)
multiplying a number by (−1) results in its (blank)
The answer is it’s inverse.
Multiplying a number by -1 changes the sign of the number, which is the inverse of the original number.
Answer:
Makes it negative
Step-by-step explanation:
example:5 multiplied by (-1) = -5
4. Evaluate the following expression for r= 5.
2(r2 - 8)
Answer:
The expression is equal to 4
Step-by-step explanation:
Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:
2(r2-8) =
2(2(r)-8),
2(2(5)-8),
2(10-8),
2(2),
4
There are 28 roses and 35 carnations. Anna is making flower arrangements using both flowers, what is the maximum number of arrangements she could make?
Answer:
The maximum amount of flower arrangements she can make are 28.
Step-by-step explanation:
There are enough roses and carnations to make 28 flower arrangements. There will still be leftover carnations but that's fine.
You do this by finding the smaller number of flowers and grouping them with the other flower so it makes a group of two. If the other flower had 2x the amount of the smaller flower, them group them in a group of 3; 1 : 2
But this is only used to make the maximum amount. this is not the efficient way to go but this is the way to go if you are finding the max amount.
An empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride . The weight of the flask and carbon tetrachloride is found to be 444.6 g. From this information , calculate the density of carbon tetrachloride .
Answer:
The density is 1.59 g/mL. Therefore, the substance will NOT float in water.
Step-by-step explanation:
The following data were obtained from the question:
Mass of empty flask = 245.8 g
Mass of flask + CCl₄ = 444.6 g
Volume of CCl₄ = 125 mL
Density of CCl₄ =?
Next, we shall determine the mass of carbon tetrachloride, CCl₄. This can be obtained as follow:
Mass of empty flask = 245.8 g
Mass of flask + CCl₄ = 444.6 g
Mass of CCl₄ =.?
Mass of CCl₄ = (Mass of flask + CCl₄) – (Mass of empty flask)
Mass of CCl₄ = 444.6 – 245.8
Mass of CCl₄ = 198.8 g
Finally, we shall determine the density of carbon tetrachloride, CCl₄ as follow:
Mass of CCl₄ = 198.8 g
Volume of CCl₄ = 125 mL
Density of CCl₄ =?
Density = mass / volume
Density of CCl₄ = 198.8 / 125
Density of CCl₄ = 1.59 g/mL
The density of water is 1 g/mL. Since the density of carbon tetrachloride, CCl₄ (i.e 1.59 g/mL) is bigger than that of water, the substance will not float in water.
The density of carbon tetrachloride is 1.59 grams per milliliter.
Given that an empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride, and the weight of the flask and carbon tetrachloride is found to be 444.6 g, to determine the density of carbon tetrachloride the following calculation must be performed:
Subtract the weight of the empty flask from the weight of the full flask, and then divide this result by 125 (the milliliters of carbon tetrachloride).
(444.6 - 245.8) / 125 = X 198.8 / 125 = X 1.59 = X
Therefore, the density of carbon tetrachloride is 1.59 grams per milliliter.
Learn more in https://brainly.com/question/952755
angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle.
Answer:
50° and 130°
Step-by-step explanation:
Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°
3x-4+8x-14=180°
11x-18=180°
11x=198°
x=18°
Angle1 = 3*18 -4 = 50°
Angle2 = 8*18 -14= 130°
3 to the 7th power time 3 to the -4th
Answer:
3 to the 3rd power
Step-by-step explanation:
i will give u brainliest
Answer:
X = 125 degress
Step-by-step explanation:
Because this is in a straight line, and we know that a straight line is 180 degress..
So 55 + X should equal 180 degress.
Which means we subtract 180 and 55 = 125 degress.
To check add 125 + 55, it should give you the answer 180 degress :)
Hope this helped :)
Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?
Answer:
2.5 milesStep-by-step explanation:
Let the distance be x
Then Jonathan biked for
x/15 hoursHis mother drew for
x/25 hoursThe time difference is
1/15 hoursSo we have
x/15 - 1/15 = x/25(x - 1)/15 = x/2515x = 25x - 2525x - 15x = 2510x = 25x = 25/10x = 2.5 milesEach baseball hat costs the same amount of money. The cost for 18 baseball hats was $216. What is the unit price?
Answer:
15%
Step-by-step explanation:
if u did the 216 divided by the 18 then that's how u get estimated number
what is the average rate of change for the line graphed in the figure above
Answer:
5/8
Step-by-step explanation:
I used the slope formula of y2-y1/x2-x1
5 apples weight 0.6 kilograms. All of our apples weigh the same. How many kilograms will 12 apples weigh?
Answer:
I think 7.2
Step-by-step explanation:
I multiply .6 to 12 and got that
1) If the mean is 15.5 and the standard deviation is 2.5, Label b, c, d, e, and f
Answer:
I accidentally clicked I can’t click out
Step-by-step explanation:
Sorry
write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)
Answer:
y = x+5
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 7-3)/(2 - -2)
( 7-3)/(2+2)
4/4
1
Then slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1*x+b
y = x+b
Substitute a point into the equation
7 = 2+b
7-2 =b
5=b
y = x+5
Answer:
M=1
Step-by-step explanation:
find the slope (M)
the slope is 1
Hope this helps Bodhi,
In the diagram below
Answer:
m∠A = 39°
Step-by-step explanation:
From the figure attached,
BE ≅ BC
m∠C = 32°
m∠BFD = 103°
In ΔBCE,
m∠E = m∠C = 32° [Since, BE ≅ BC]
m∠E + ∠C + m∠EBC = 180°
32° + 32° + m∠EBC = 180°
m∠EBC = 116°
m∠EBC + m∠EBA = 180° [Linear pair of angles]
116° + m∠EBA = 180°
m∠EBA = 64°
Similarly, m∠AFB + m∠DFB = 180° [Linear pair of angles]
m∠AFB + 103° = 180°
m∠AFB = 77°
Now in ΔAFB,
m∠A + m∠AFB + m∠FBA = 180° [Sum of internal angles of a triangle = 180°]
m∠A + 77° + 64° = 180°
m∠A = 39°
Select the equation that most accurately depicts the word problem.
Mary Lou has 2 more nickels than pennies, and she has 30 coins all together. Use x for the number of pennies.
a. x + 2 = 30
b. x + (x + 2) = 30
c. 2(x + 2) = 30
d. 2x + 30 = 5
Answer:
B. x + (x+2) = 30
Step-by-step explanation:
If x equals pennies, then one part of the statement should include an addition of 2, along with the additions of the value of pennies; and it should all equal 30.
Answer:
B. x + (x + 2) = 30
Step-by-step explanation:
x = number of pennies
y = number of nickels
x + y = 30
y = 30 - x
She has two more nickels then pennies, therefore:
y = x + 2
30 - x = x + 2
30 = x + x + 2
x + (x + 2) = 30
I really need help! I don't understand..
Thanks!
Jose paid 47.00 for 4 movie tickets. Each ticket costs the same amount.what was the cost of each movie ticket in dollars and cents
Answer:
$11.75
Step-by-step explanation:
In order to solve this problem, you divide $47.00/4. When you do that, you get $11.75
Th e NCAA recommends that a competition diving pool intended for use with two 1-m springboards and two 3-m springboards, in addition to diving platforms set at 5 m, 7.5 m, and 10 m above the water, have a width of 75 ft 1 in., a length of 60 ft, and a minimum water depth of 14 ft 10 in. What is the minimum volume of water such a pool would hold in cubic yards, to the nearest whole number?
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?
As x approaches -7 from the left, y approaches ∞.
As x approaches -7 from the right, y approaches -∞.
As x approaches 7 from the left, y approaches –∞.
As x approaches 7 from the right, y approaches –∞.
Answer:
its D
Step-by-step explanation:
if you look at the graph I shared, the end behaviors are
As x approaches -7 from the left, y approaches -∞.
As x approaches -7 from the right, y approaches ∞.
As x approaches 7 from the left, y approaches ∞.
As x approaches 7 from the right, y approaches –∞.
The only one that maches this description is D
Answer:d
Step-by-step explanation:
just d
PLS ANSWER THIS CORRECTLY AND GET 30 PTS AND BRAINLY
Answer:
(-0,1)
Really sorry if it's wrong! Have a good day!!
What is the graph for y=3(x-1)^2
Answer:
I attached it
Step-by-step explanation:
Given m//n, find the value of x
Answer:
117 is the value of you Question
Step-by-step explanation:
Kristy rides 6 miles on her bicycle in 40 minutes. Jax rides 4 miles on his bicycle in 30 minutes. Who is faster? Remember to support your answer with a mathematical statement!
Answer: Kristy
Step-by-step explanation: 6x=40 4x=30, 40/6 is 6.6 repeating which means she travels a mile in 6.6 minutes and 30/4 is 7.5. 6.6 repeating is lower than 7.5 which means it is faster.