Answer: -18
Step-by-step explanation:
The functions below represent the amounts of water released from two reservoirs over x weeks: Reservoir A f(x) = x2 – 7x + 5 Reservoir B g(x) = 3x2 – 6x + 2 The function h(x) = f(x) – g(x) represents the difference in the amounts of water released. Determine which statements about h(x) and about the reservoirs are true. Check all that apply.
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
HELP!!! Please I need this soooooooooooo much
Answer:
I think the answer is A,C, and D. Sorry if I'm wrong, but if it's right pls mark brainliest.
10 POINTS PLEASE HELP Kamiyama's Kitchen charges $30 per meal and a
membership fee of $150, while Tarlton's Tavern
charges $20 per meal and a membership fee of $300
How many meals will it take for both deals to cost the
same amount of money?
Answer:
Step-by-step explanation:
I think you should create a table (x,y) and make an equation and that could be a way to figure it out
Determine the domain and range for this relationship.
f(x)=72-12x
Domain:
Range:
Answer:
see below
Step-by-step explanation:
f(x)=72-12x
Domain:
Is the possible values that x can take
This is a line and x can take all values
(-∞,∞) or all real numbers
Range:
Is the possible values the output can take
This is a line and y can take all values
(-∞,∞) or all real numbers
Answer: The domain is 6, and range is 72 I believe.
Step-by-step explanation:
I really hope it helps :0
Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6
Answer:
a
Step-by-step explanation:
:)
How do you calculate (2x-5)^2
En el rombo la diagonal mayor es la mediatriz de la diagonal menor, ¿verdadero o falso?
Answer:
Creo que eso es cierto también grandes habilidades españolas
Step-by-step explanation:
Which equation represents a line parallel to the line shown on the graph. I need this for a test so pls be quick. Last answer choice is y=-1/3x+12
WILL GIVE BRAINLST FOR WHOEVER ANSWERS FIRST Which of the following equations is equivalent to 6(3p – 2) = 20?
Group of answer choices
9p – 4 = 20
9p – 8 = 20
18p – 12 = 20
18p – 2 = 20
PLEASE HELP ME ASAP! I WILL DO AND GET YOU ANYTHING YOU WANT! PLEASE! THANKS!
Answer:
18 square units how to solve this is there are four square units and four sides that’s 16 plus the top one and bottom one. That makes 18
Step-by-step explanation:
Question 16 (1 point)
(02.06)
Simplify (3 + 2i )(7 - 5i). (1 point)
1) 21 - 10i²
2) 11-i
3) 21 - i - 10i²
4) 31-i
Answer:
31-i
Step-by-step explanation:
I just took the test and I got it right.
What is the slope of the line?
I NEED HELPP?!
Answer:
Slope of a line = rise/run
Your answer:
m = 8/5
i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.
Answer:
Hello
Step-by-step explanation:
by what i understood the awnser should be c
Please help me with this problem
Answer: D) [tex]m \angle 2 = m\angle 5[/tex]
================================================
Explanation:
Let's go through the answer choices to see what's true and what's false.
A) This is true because they are corresponding angles. Corresponding angles are congruent when we have parallel lines.B) This is true as well. The reasoning is the same as choice A.C) These angles are vertical, so they are congruent angles. This is true.D) This is false. The angles are supplementary. They would only be congruent if both angles were 90 degrees; otherwise, they aren't congruent.HELP please ASAP Hw for math class
Ms. Darden is selling handmade gloves at the school flea market. It costs her $9 to make one pair of gloves. At the fair she sells the pairs of gloves for $15 each. If she sold 45 pairs of gloves, what was her
total profit?
S: TPIAMTF
Answer:
270$
Step-by-step explanation:
Square ABCD has vertices A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4). What is the area of square ABCD?
Answer:
that answer is b
Step-by-step explanation:
hope this helps
The area of square ABCD would be; 64 unit sq.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Given that Square ABCD has vertices; A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4).
To find the distance from two of the vertices of the square. The distance formula is as follows;
√[(x-p)² + (y-q)²]
A(-4.5, 4), B(3.5, 4),
D = √[(x-p)² + (y-q)²]
D = √(3.5-(-4.5))² +(4 -(4))²
D = √(3.5-(-4.5))² +(4 -(4))²
D = √(64 + 0)
D = 8
Therefore, the side of the square is 8 units.
The area of the square = side x side
= 8 x 8
= 64 unit sq.
Learn more about distance between two points here:
brainly.com/question/16410393
#SPJ2
A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin 180 degrees clockwise to form Square A'B'C'D', what would be the length of one of the sides? A. 0 units B. 5 units C. 10 units D. 20 units
Answer:
B. 5 units
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.
If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).
If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)
A square has four equal sides. The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence:
[tex]|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5[/tex]
what is the product of (-0.5)(-1.2)(-5.22)?
0. -9.8
0. -3.132
0. 3.132
0. 9.8
Answer:
The answer is B or -3.132
Step-by-step explanation:
You are multiplying 2 negatives and a positive, so it guarantees it will be negative! Hope this helps!
Read the power and then check all that apply. 34 = 3 × 3 × 3 × 3 A power is a shorter way to write repeated multiplication. The base is 3. The base is 4. The exponent is 3. The exponent is 4. The exponent tells you to multiply the 3 together 4 times. The exponent tells you to multiply the 4 together 3 times.
Answer:
the right one's are
1,2,5,6
Step-by-step explanation : I hope this helps everyone
Answer:
The Answers our:
Step-by-step explanation:
A: A power is a shorter way to write repeated multiplication.
B: The base is 3
E: The Exponent is 4
F: The exponent tells you to multiply the 3 together 4 times.
need help with solving equations
Answer:
1) -2
2) 6
3) -9
Step-by-step explanation:
1)2/5(x+7)=2(x+3)
2/5x+2.8=2x+6
2/5x=2x+3.2
-1.6x=3.2
x=-2
2)2x+6=2/3x+14
2x=2/3x+8
1 1/3x=8
x=6
3)40+2x=6-8x-56
40+2x=-8x-50
90+2x=-8x
90=-10x
x=-9
plz help me!! Polynomial Long Division (Level 1)
Answer:
x² + x + 1
Step-by-step explanation:
please help look at screenshots
Answer:
2nd one is hardest someone help him lol
Directions
Which one of the following describes the best estimate for 15+ 13?
Answer:
30
Step-by-step explanation:
15 - 20
13 - 10
20+10=30
5x-2=3x+4
what does x equal
Answer:
x=3
Step-by-step explanation:
5x-2=3x+4
[tex]5x-2+2=3x+4+2[/tex]
[tex]5x=3x+6[/tex]
[tex]5x-3x=3x+6-3x[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2}=\frac{6}{2}[/tex]
[tex]x=3[/tex]
each movie rental costs $4.00 but he has a coupon for $1.00 off his total bill. if his total is $15 how many movies did he rent
Answer:
He rented 4 movies
Step-by-step explanation:
Each movie costs $4 and if he rents 4 it'll be 4x4= $16, you then subtract the $1.00 coupon and get the total of $15
F(x)=e*1/x
Calculate f'(x)
Answer:
[tex]\huge\boxed{f'(x)=-\dfrac{e^\frac{1}{x}}{x^2}}[/tex]
Step-by-step explanation:
[tex](e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================[/tex]
[tex]f(x)=e^\frac{1}{x}=\left(e^\frac{1}{x}\right)'\cdot\left(\dfrac{1}{x}\right)'=e^\frac{1}{x}\cdot\left(-\dfrac{1}{x^2}\right)=-\dfrac{e^\frac{1}{x}}{x^2}[/tex]
What’s 4 divided by 9.1
Answer:
40/91
Step-by-step explanation:
hii i need help with a geometry problem. the picture is attached. i'll mark you brainliest!!
Answer:
i would wanna say the first one
Step-by-step explanation:
∆GAS ≅ ∆IOL by rule ASA , SAA
We say that ∆GAS ≅ ∆IOL because m∠G = m∠I , m∠A = m∠L and AS = LO ( which means that these triangles are congruent under the ASA or SAA congruence postulate . )
Therefore ,
∆GAS ≅ ∆ILO by rule ASA , SAAplease help ;(
john is j years old. the product of his younger brother’s and older sister’s ages is j^2-2j-15. how old are john’s brother and sister is terms of john’s age?
Answer:
[tex](j-5)(j+3)[/tex]
Step-by-step explanation:
[tex]j^2-2j-15=(j-5)(j+3)[/tex]
The age of John’s brother is j-5 and the age of John’s sister is j+3.
Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The solution for j²-2j-15 is as follows
j²-2j-15
⇒ j²-5j+3j-15
⇒ j(j-5)+3(j-5)
⇒ (j-5)(j+3)
Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5