Answer:
f(-3) = -18
Step-by-step explanation:
f(x)=2x^3+4x^2, find f(-3); let's rewrite
f(x) = 2[tex]x^{3}[/tex] + 4[tex]x^{2}[/tex]; substitute -3 for x
f(-3) = 2[tex](-3)^{3}[/tex] + 4[tex](-3)^{2}[/tex]; do the exponents
f(-3) = 2(-27) + 4(9); multiply and add
f(-3) = -54 + 36 = -18
The value of the function f(x) = 2x³ + 4x² at f(-3) is - 18.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = 2x³ + 4x².
Now, The value of the function f(-3) can be obtained by replacing
x with - 3.
Therefore, f(-3) = 2(-3)³ + 4(-3)².
f(-3) = 2×-27 + 4×9.
f(-3) = - 54 + 36.
f(-3) = - 18.
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Can someone put this into vertex form?
y=x2+24x-15
Answer:
The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of the vertex pointh = [tex]\frac{-b}{2a}[/tex] , where b is the coefficient of xk = y at x = hLet us use the facts above to solve the question
∵ y = x² + 24x - 15
∵ a is the coefficient of x² and b is the coefficient of x
∴ a = 1 and b = 24
∵ h is the x-coordinate of the vertex point
∵ h = [tex]\frac{-b}{2a}[/tex]
→ Substitute the values of a and b to find h
∴ h = [tex]\frac{-24}{2(1)}=\frac{-24}{2}[/tex]
∴ h = -12
→ To find k substitute y by k and x by h
∵ y = k and x = h
∴ k = (-12)² + 24(-12) - 15 = 144 - 288 - 15
∴ k = -159
∴ The coordinates of the vertex point are (-12, -159)
→ Substitute the values of a, h, and k in the vertex form above
∵ y = 1(x - -12)² + (-159)
→ Remember (-)(-) = (+) and (+)(-) = (-)
∴ y = (x + 12)² - 159
∴ The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159
Answer:
sure.
Step-by-step explanation:
I have a question on this math problem that I'm stuck on
Answer:
what's the question?..
In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality < s < represents the possible third side length of the triangle, s, in centimeters. The inequality < p < represents the possible values for the perimeter, p, of the triangle, in centimeters.
Answer:
The inequality 10 < s < 60 represents the possible third side length of the triangle, s in centimeters.
The inequality 70 < p < 120 represents the possible values for the perimeter p, of the triangle in centimeters.
Step-by-step explanation:
Firsts one The lower number has to be the difference between the bigger number and smaller number. In this case 35 - 25 = 10 and the s < 60 has to be the sum of both numbers.
Second one. I'm assuming it's just the sum of the two numbers to the first answer, and the second number is just the second number from the previous one, but multiplied by 2. Sorry that I couldn't go into too much detail about this one
The inequality that represents the possible third side length
[tex]10cm<s<60cm[/tex]
The inequality that represents the possible values for the perimeter
[tex]70cm<P<120cm[/tex]
Given :
In triangle ABC, AB measures 25 cm and AC measures 35 cm.
For any triangle , we know that the sum of measures of two sides is greater than the third side
Let 's' be the third side length
[tex]25+35>s\\60>s\\\\Also , s+25>35\\s>35-25\\s>10\\Inequality\; is \;\\10<s<60[/tex]
Now we find the perimeter when s=10
Perimeter = sum of all the sides
[tex]s=10\\P=25+35+10=70\\s=60\\P=25+35+60=120[/tex]
[tex]70<P<120[/tex]
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What is the slope-intercept equation for the line below?
Answer:
dumb dumb
Step-by-step explanation:
help me answer pls :)
what is the value of y when x=43
Answer:
87
Step-by-step explanation:
f(x) = 2x+1
Can someone help me pleaseeee
Amdjjsisjshajsvdvd
Answer:
I BELIEVE THE ANSWER WOULD BE C
Step-by-step explanation:
Someone plz help this is due tmr and I’m gonna get a f
PLS SOMEONE HELP QUICK
Answer:
light blue
Step-by-step explanation:
Pls help last one
Which one is it
The table shows the amount spent on tomatoes at three different stands at a farmer's market. Which stand sold their tomatoes at the least expensive price per pound, and what is that price? Round to the nearest cent as necessary.
Answer:
i have the same question someone pls answer
Step-by-step explanation:
Stand C sold their tomatoes at the least expensive price per pound that price is 2.70 per pound.
What is Ratio?
The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Stand Weight(lb) Cost
A 3/4 2.00
B 1 1/4 3.45
C 5 1/2 14.85
We have to determine the price of sold tomatoes at the least expensive price per pound.
the price of sold tomatoes at stand A:
⇒ 2/(3/4) = 2/0.75 = 2.67 per pound.
the price of sold tomatoes at stand B:
⇒ 3.45/(5/4) = 3.45/1.25 = 2.76 per pound.
the price of sold tomatoes at stand C:
⇒ 14.85/(11/2) = 14.85/5.5= 2.70 per pound.
Here is the least expensive price per pound at stand C.
Therefore, stand C sold their tomatoes at the least expensive price per pound that price is 2.70 per pound.
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The Bears have won 7 and tied 2 of their last 13 games. They have not forfeited any games. Which ratio correctly compares their wins to losses?
Answer:
7:4
Step-by-step explanation:
7:4 because if 13 is the total amount of games, that minus the amount of games won and tied equals the amount of games loss which is 4. Since it says wins to losses, the wins will come first in the ratio. Therefore the correct answer would be 7:4.
Answer:
7:4
Step-by-step explanation:
Multiple Step Equations
Solve the multiple choice equation
What is the solution to this equation?
5(x – 4) = 3x + 4
A x = -8
(B) x = -2
C x=3
(D) x = 12
Math
Answer:
D
Step-by-step explanation:
5(x-4) = 3x + 4
5x-20 = 3x + 4
5x-3x-20= 4
2x=4 +20
2x=24
x=12
check answer by inserting 12 for x into original equation.
5(12-4) = 3(12) +4
5(8) = 36 +4
40 = 40
What are two coordinates on this graph?
Answer:
(0, 5) and (6, 0)
Step-by-step explanation:
please mark brainliest and have a great day
Does the graph represent a function? Why or why not?
Answer:
Yes
Step-by-step explanation:
The line can go through the graph and have the y- axis lines hit it once
Answer:
it does not.
Step-by-step explanation:
for a graph to represent a function, it needs to pass the vertical line test (just run a finger or pencil along the graph vertically and if you never have two points touch the vertical line, it passes). there are multiple points at x=0
please help no work needs to be shown
what expression is equivalent to (7² )⁵ ÷ 7¯⁶
Answer: 7^16
Step-by-step explanation:
what is -xy x=6 y=3
Answer:
the answer is -18
Step-by-step explanation:
Put 6 in for x and 3 in for y 3 times 6 is 18 and since there is a negative in front then it is a negative answer
Answer:
Heya your answer is - 18 (minus 18)
The distance to the nearest exit door is less than 150 feet.
Use d to represent the distance (in feet) to the nearest exit door.
Answer:
d<150
Step-by-step explanation:
mejores aplicaciones de matemáticas?
simplify [tex]\sqrt{-121}[/tex]
Answer:
You cannot simplify because you cannot square root a negative.
Please help. It’s due in a couple minutes
Answer:
They failed to create a strong national government.
Step-by-step explanation:
They gave the states too much power that the government should have had making the national government weak.
15 points!!
b. Determine whether hypotenuse-leg (HL) is a valid means for establishing triangle
congruence for right triangles. If it is a valid criterion, explain why.
Answer:
If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Step-by-step explanation:
Help me with this please
Answer:
B?
Step-by-step explanation:
How do you think the area of the polygon compare to the area of the circle
Answer:
It is split open, therefore creating a new polygon
Step-by-step explanation:
a concert started at 5:22pm on friday. the concert ended at 7:04 pm. how long did the concert last?
Answer:
1 hour and 42 min
Step-by-step explanation:
idk how to do math
that's why we have the beautiful internet
Can someone help me with this please asap
Answer:
The answer is 4
Step-by-step explanation:
because all of the angles need to add up to 180 so 17 x 4 is 68 and 68 - 8 = 60 and 60 x 3 = 180 so the answer would be 4
Answer:
4
Step-by-step explanation:
Since all the sides are congruent, so is the angles and in a triangle all angles add up to 180. To find the angle of one of them divide 180 by 3 which is 60.
Then put the equation equal to 60
17x - 8 = 60
17x = 68
x = 4
A sink contains 16 liters of water before the drain is opened. It drains at a rate of 2 liters per minute.
Use the segment tool to plot a graph representing the liters of water in the sink over time. Plot only one segment which represents the situation from when the sink starts draining until the sink is empty.
Answer:
8
Step-by-step explanation:
16 liters divided by 2 liters a minute you get 8
also i would do a graph but there is no way of putting it up with my answer i hope this helps a little if it doesnt im sorry
Calculate a number whose square root is 2.3
Answer: The root of 2.3 is 1.5165750888103
Step-by-step explanation:
Use a property of exponents to simplify. 3Use as the base.
Answer:
3^4 because when u divide exponents w same base just subtract the exponents
Step-by-step explanation: