Answer:
The value of f(1) is greater than value of f(3)
Step-by-step explanation:
We substitute..x = 1..into the given equation....where we say...
; -2(1)^2 + 3(1) + 10 = 11
Then we substitute..x = 3..into the given equation
;-2(3)^2 + 3(3) + 10
;-2(9) + 9 + 10 = 1
If f(1) = 11 and f(3) = 1...then the value of f(1) is greater than the value of f(3)
Step-by-step explanation:
The given function is f(x) = -2x² + 3x + 10. We are asked to find f(1) and f(3).To find f(1), we substitute 1 in the place of x in the given function and evaluate it.
That is,f(1) = -2(1)² + 3(1) + 10= -2 + 3 + 10= 11To find f(3), we substitute 3 in the place of x in the given function and evaluate it.
That is,f(3) = -2(3)² + 3(3) + 10= -18 + 9 + 10= 1We see that f(1) is larger than f(3).
Hence, the correct answer is "The value of f(1) is larger than the value of f(3)."
2. Explain and correct the error made by a student who simplified this expression.
–2x + 7x + 8
(–2 + 7 + 8)x
13x
A master baker can fill a big order in 6 hours. A student baker can fill the same order in 8 hours. They start working together, and after 2 hours, the student leaves and the master baker finishes the work alone. How long will it take him to finish the order?
Answer:
It will take the master baker 2.86 hours to finish the remaining order after 2 hours.
Step-by-step explanation:
the time taken for the master baker to fill the order = 6 hours
the time taken for the student baker to fill the order = 8 hours
let the time taken for both to finish the work together if they work at the same rate = x
[tex]\frac{x}{8} + \frac{x}{6} =1\\\\\frac{3x + 4x}{24} = 1\\\\7x = 24\\\\x = \frac{24}{7}\\\\x = 3.43 \ hours[/tex]
After 2 hours, the remaining time for them to finish the work together is given by;
t(remaining) = 3.43 hours - 2 hours = 1.43 hours
Working at the same rate, 2 persons will take 1.43 hours to finish the remaining work.
One person will take hour many hours ?
2 persons working at the same rate --------> 1.43 hours
1 person working at the same rate -----> ?
= 2 x 1.43 hours
= 2.86 hours
Therefore, it will take the master baker 2.86 hours to finish the remaining order after 2 hours.
Answer:
2 hours 30 minutes
Step-by-step explanation:
If two angles have the same measure, then they are right angles true or false
Answer:
False
Step-by-step explanation:
Answer: true
Step-by-step explanation:
If h(x) = 6x + (x-1), what is the value of h(-3)?
Answer:
-22
Step-by-step explanation:
y=6x+(x-1) original equation
y=6(-3) +(-3-1) substitute x value
y= -18 + -4 simplify
y=-18-4 solve
y=-22
the equation of the line with a slope of 2 and passing through (-3,-10) what the answer
Answer:
y=ax+b
-10=2×(-3)+b
-10=-6+b
-4=b
y=2x-4
Select ALL the sequences of transformations that could take Figure P to Figure Q
Answer:
a reflection then a reflection
what is the x and y intercept of 5x+2y=-10
Answer:
x=−2/5
y−2
Step-by-step explanation:
5x+2y=−10
Step 1: Add -2y to both sides.
5x+2y+−2y=−10+−2y
5x=−2y−10
Step 2: Divide both sides by 5.
5x
5
=
−2y−10
5
x=
−2
5
y−2
Answer: x- intercept: (-2, 0) y- intercept: (0,_5)
Step-by-step explanation:
if 3(x+1)=7 find the value of 3x
Answer:
3x=4
Step-by-step explanation:
3x+3=7
3x=4
give your answer on 24 hour clock time.
Answer:
Step-by-step explanation:
Total time= 45+5+25min
=75min or 1hr15min
Pls mark me brainliest
I need help. . . . . . . . .
Answer:
61, C
Step-by-step explanation:
So, congruent means all the same. The question is just saying that 3 lines intersect at one point and form 6 angle. The 6 angles are not all the same. Given that, what is the smallest possible largest angle. Obviously, if all angles could be congruent, then, it would be 6 60° angles. However, they aren't. So, to minimize the largest angle, we can just make 1 angle 61° and another 59°. Therefore, the answer should be C which is 61° as you would have the 6 angles being:
59°, 60°, 60°, 60°, 60°, and 61°.
HELP PLEASE!!!!! 50 POINTS!!!!!!!!
Which of the following graphs could be the graph of the function f(x)= -0.08x(x^2-11x+18)?
Answer:
see below
Step-by-step explanation:
f(x)= -0.08x(x^2-11x+18)
Factor
f(x)= -0.08x(x-9)(x-2)
Using the zero product property to find the zeros
0= -0.08x(x-2)(x-9)
-0.8x =0 x-2 =0 x-9 =0
x=0 x=2 x=9
Multiply out
f(x) = -0.08 x^3 + 0.88 x^2 - 1.44 x
The highest power is x^3
f(-∞) = -0.08( -∞)^3 = - ( -∞) = ∞
As x goes to -∞ f(x) goes to +∞
f(∞) = -0.08( ∞)^3 = - ( ∞) = -∞
As x goes to ∞ f(x) goes to -∞
Answer:
Option C or the third graph is the correct choice
Edg 2020
For any two integers a and b, (a + b)² = a² + b²
Answer:
wrong
Step-by-step explanation:
(a+b)^2=(a+b)(a+b)
=a(a+b)b(a+b)
=a^2+ab+ab+b^2
=a^2+2ab+b^2
i hope it helps you
Three farmers buy a total of 2,249 acres of land at an auction, Farmer Mel buys land that is 3 times as many acres as Farmer Cassius's land. Farmer Cassius buys land that is 3 times as many acres as Farmer Anne's land. How many acres of land does each farmer buy?
Answer:
Farmer Anne's land = 173 acres
Farmer Cassius = 519 acres
Farmer Mel = 1,557 acres
Step-by-step explanation:
Total acre = 2,249
Let
Farmer Anne's land = x
Farmer Cassius = 3x
Farmer Mel = 3(3x) = 9x
x + 3x + 9x = 2,249
13x = 2,249
x = 173
Farmer Anne's land = x = 173 acres
Farmer Cassius = 3x
= 3(173)
= 519 acres
Farmer Mel = 3(3x) = 9x
= 9(173)
= 1,557 acres
Therefore,
Farmer Anne's land = 173 acres
Farmer Cassius = 519 acres
Farmer Mel = 1,557 acres
A bus took a 12-hour trip and traveled 700 miles. The speed was 75 mph for the first part of the trip, and then decreased to 50 mph for the second part of the trip. How many hours were traveled at each speed?
_____ hours at 75 mph
_____ hours at 50 mph
Solve for z.
A= x + 5 + Z
Answer:
Z = A - x - 5
Step-by-step explanation:
A = x + 5 + z
Make the equation equal to z by moving the x and 5 to the side of the = with A. Move the x and 5 by subtracting x and 5 from both sides.
A - x = 5 + z
A - x - 5 = z
So, Z is equal to A - x - 5
write this variable expression
c and 301 more is 270
Answer:
c + 301 = 270
Step-by-step explanation:
c = -31
A men's shoe size is related to his foot length and can be modeled by the equations s=1.7f -7.2, where s is shoe size and fis foot length, in inches. What is the shoe size of a man whose foot measures 9 inches?
Answer:
B. 8
Step-by-step explanation:
Given the equation, [tex] s = 1.7f - 7.2 [/tex],
where,
s = shoe size,
f = foot length,
To determine the shoe size of a man that has a foot length (f) of 9 in, substitute f = 9 into the equation.
[tex] s = 1.7f - 7.2 [/tex]
[tex] s = 1.7(9) - 7.2 [/tex] (substitution)
[tex] s = 15.3 - 7.2 [/tex]
[tex] s = 15.3 - 7.2 [/tex]
[tex] s = 8.1 [/tex]
His shoe size is approximately 8 inches
which is greater 8.7 or 8.5
8.7 is greater than 8.5 because the 7 is more than the 5 and the number 5 is less. Hope this helps :)
What is the reflection of K and L and M and N
K’: (0, 1)
L’: (-3, 1)
M’: (-2, 3)
N’: (-1, 3)
You are reflecting across the x = 2, so the line is vertical on 2 like |. It’s as many points away on each side for the other side. Ex. K is 2 points to the right of x = 2 so then it would be 2 points to the left of x = 2.
What is the inverse operation of a power or exponent?
Answer:
The inverse of a power function of exponent n is a nth root radical function. For example, the inverse of y = 10x^2 is y = √(x/10) (at least for positive values of x and y).
Which equation justifies why 9 1/3 = 3 square root of 9?
Answer: answer is A
Step-by-step explanation:
help please i want help please
The output of a function is 5 more than 2 times the input. Find the input when the output is 17.
Answer:
The input when the output is 17 is x=6.
Step-by-step explanation:
Functions
Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.
Knowing the output of the function is 5 more than 2 times the input, we can write the function as:
f(x)=2x+5
Now find the input x when the output is 17:
17=2x+5
Swap sides of the equation:
2x+5=17
Subtract 5:
2x=17-5=12
Divide by 2:
x=12/6=6
The input when the output is 17 is x=6.
2x^2 - 17x + 30
Factor
Answer:
(2x−5)(x−6)
Step-by-step explanation:
2x^2-12x-5x+30
2x(x-6)-5(x-6)
(2x-5)(x-6)
A cylinder has a base diameter of 4 centimeters and a height of 4 centimeters. What is its volume in cubic centimeters, to the nearest tenths place
Answer:
50.3 cm³
Step-by-step explanation:
Use the cylinder volume formula:
V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.
Since the radius is half of the diameter, and the cylinder has a diameter of 4 cm, this means the radius is 2 cm.
Plug in the radius and height into the equation:
V = [tex]\pi[/tex]r²h
V = [tex]\pi[/tex](2²)(4)
V = 16[tex]\pi[/tex]
V = 50.3 cm³
Answer:
50.3 cm³
Step-by-step explanation:
Use the cylinder volume formula:
V = r²h, where r is the radius and h is the height.
Since the radius is half of the diameter, and the cylinder has a diameter of 4 cm, this means the radius is 2 cm.
Plug in the radius and height into the equation:
V = r²h
V = (2²)(4)
V = 16
V = 50.3 cm³
1. The square of a number equals nine times that number. Find the number.
2. Suppose that four times the square of a number equals 20 times that num-
ber. What is the number?
3. Twice the square of the sum of a number and 3 is 98. Find the number.
Answer:
Step-by-step explanation:
The answer of 1 question is 9 because square of 9 is 81 and 9 x 9 times is 81
Can anyone please help me?
2(9-4)+15=13
Solve the notable products (1/7x-1/7)
PLS ANSWER I GIVE BRAINLIEST What is the area of the square?
19a) x= ____
19b) Area of square is ____ units²
Answer:
x = 66/7 & area = 132/7
Step-by-step explanation:
7x-9=0
x=9/7
substitute value of x in 5x-3;
5(9/7)+3=66/7
Then, a*a,
thus, 2(66/7) = 132/7
Mr. Lucas bought a new television for his game room. The one he chose was $950. He had to pay a
sales tax of 8.2%. What was the amount of sales tax he paid on the television?
