Answer:
f(x) = (-1/2)(x^2 + 8x - 15)
Step-by-step explanation:
This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).
Then f(x) = a(x + 3)(x - 5)
The graph goes through (1. 8): Therefore, y = 8 when x = 1:
f(1) = a(1 + 3)(1 - 5) = 8, or
a(4)(-4) = 8, or
-16a = 8, which leads to a = -1/2.
Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or
f(x) = (-1/2)(x^2 + 8x - 15)
The function is a quadratic function given by f(x) = (-1/2)(x + 3)(x - 5) and f(x) = (-1/2)(x² + 8x - 15).
What is a Function?A function is a law that relates a dependent and an independent variable.
The function has x-intercepts at (-3,0) and (5,0),
The function has two roots: -3 and 5
So, the equation is a quadratic equation represented by
f(x) = a(x + 3)(x - 5)
The function goes through the point (1. 8)
y = 8 when x = 1
f(1) = a(1 + 3)(1 - 5) = 8
-16a = 8,
a = (-1/2)
f(x) = (-1/2)(x + 3)(x - 5)
f(x) = (-1/2)(x² + 8x - 15)
To know more about Function
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Evaluate 4-2 f when f= 1.
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[tex]\boxed{ \sf{Answer}}[/tex]
⏩ Substitute the value of 'f' in the equation.
[tex]4 - 2f \\ = 4 - 2(1) \\ = 4 - 2 \\ = 2[/tex]
⏩ The answer will be 2.
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꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
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Answer:
2
Step-by-step explanation:
If you multiply 2 by 1, you get 2. Then subtract 2 from 4 to get 2.
Hope that this helps!
What is the volume of this rectangular prism?
5 cm
3 cm
4 cm
A. 12 cm3
B. 94 cm3
C. 120 cm3
D. 60 cm3
Answer:
The volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].
Step-by-step explanation:
In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...
V = l × w × h
(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).
Now we just substitute the values into the formula and we get...
V = l × w × h
V = 4cm × 3cm × 5cm
V = 60[tex]cm^{3}[/tex]
Therefore, the volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].
Subtract one half of a number from 10
Answer:
10-1/2n
hope this helps
have a good day :)
Step-by-step explanation:
pls help me ???????????????????
Answer:
Hi♀️
Step-by-step explanation:
ΔMAN≅ΔNED
ΔRED≅ΔRGD
ΔLAN≅ΔLEI
ΔRKI≅ΔIYC
Hope it helps you!
HELP for these 2 !!! it’s asking if it’s a function or not
Plzzzz help asap thank you
transforma in metri:
a) 7 dam
b)350 dm
c) 57 000 mm
d) 0,5 km
e)750 cm
f) 5,7 dam
Answer:
a) 70 m
b) 35 m
c) 57 m
d) 500 m
e) 7.5 m
f) 57 m
Step-by-step explanation:
10 dm = 100 cm = 1 m.
1 dam = 10 m
1 km = 1000 m
100 cm = m
Correct ☑ ✔ Question :-
Transform in metre
a) 7 dam
b) 350 dm
c) 57000 mm
d) 0.5 km
e) 750 cm
f) 5.7 dam
Solution ✔a) 7 dam
1 dam = 10 m
so, 7 dam = 7 × 10 m = 70 m
b) 350 dm
10 dm = 1 m
so, 350 dm = 350/10 = 35 m
c) 57000 mm
1000 mm = 1 m
so, 57000mm = 57000/1000 = 57 m
d) 0.5 km
1 km = 1000 m
0.5 km = 1000 × 0.5 = 500 m
e) 750 cm
100 cm = 1 m
750 cm = 750/ 100 = 7.5 m
f) 5.7 dam
1 dam = 10 .
5.7 dam = 5.7 × 10 = 57 m
Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1000 e^0.1t how log before the investment doubles?
Answer: 6.93 years
Step-by-step explanation:
Given
Rate of interest is [tex]r=10\%[/tex]
Future value is given by [tex]s=1000e^{0.1t}[/tex]
For the investment to double itself, i.e. [tex]s=2000[/tex]
[tex]\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}[/tex]
It takes around 6.93 years to double the investment.
Brian went to the movies. He spent $8 on his movie ticket and $10 on snacks. He brought $20 to the movies. Which equation could be used to find the amount of money Brian had left?
What is the y-intercept of the graph below?
Answer:
D. (0, -1)
Step-by-step explanation:
Answer:
D. (0, -1)
Step-by-step explanation:
Please helpppppp 7th grade math
Answer:
A 1 cup
Step-by-step explanation:
Number of batches
24/6 = 4
Cups needed
1/4 * 4 = 1
Ayuda es urgente porfavor
What is the volume of a hemisphere with a radius of 4.3cm rounded to the nearest tenth of a cubic centimeter
Answer:
166.59 cm³ (approx.)
Step-by-step explanation:
help me pls pls pls pls pls pls
A researcher posts an online advertisement offering $25 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (1 point)
a
It is not a valid sample because it is only a short study.
b
It is a valid sample because money was offered to participants.
c
It is a valid sample because the first 10 people were selected to participate.
d
It is not a valid sample because it is not a random sample of the population.
Answer:
A
Step-by-step explanation:
The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!
Answer:
A) It is not a valid sample because it is only a short study.
Which relation is a function?
Find the measure of the largest angle.
Answer:
4x-7
Step-by-step explanation:
Solve for x:
180 = 44 + 3x - 11 + 4x - 7
Combine like terms: 180 = 26 + 7x
Simplify: 154 = 7x
Simplify: 22 = x
Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81
Create inequality: 44 < 55 < 81
Hope this help!!!
Have a nice day!!!
Which of the following best describes using a slope of -5/10 on a graph?
O Move up 5 and right 10.
O Move left 5 and up 10.
O Move down 5 and right 10.
O Move down 5 and left 10.
Answer:
move down five and move right ten
which expression is equal to: 3c (1/3 d-9) -7(c-1) + d(c + 4)?
A. 2cd + 8c + 4
B. 2cd + 34c + 4d + 7
C. 2cd - 34c + 4d + 7
D. 2cd - 7c - 4
Please include steps!
Answer:
c
Step-by-step explanation:
Work Out The Answers
Answer:
A1.) 87 + 63 =150
180 - 150 = 30
all the As is the same formula....
B1.) 180 - 123 = 57
57 + 82 = 139
180 - 131 = 41
What is the value of X enter your answer in the box
Answer:
x = 27
Step-by-step explanation:
The segment in the triangle bisects ∠ BAC and divides the opposite side into segments that are proportional to the other 2 sides , that is
[tex]\frac{x+8}{2x-5}[/tex] = [tex]\frac{10}{14}[/tex] ( cross- multiply )
10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides
20x - 50 = 14x + 112 ( subtract 14x from both sides )
6x - 50 = 112 ( add 50 to both sides )
6x = 162 ( divide both sides by 6 )
x = 27
A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?
Answer:
2 hours
Step-by-step explanation:
Y=25x+30
80=25x+30
50=25x
2=x
Find the value of x in the isosceles triangle shown below
Answer:
2²+3² =x²
4+9. =x²
x² =13
x. =√13
answer is option c
Answer:
C
Step-by-step explanation:
You divided 4/2 you get 2
2^2+3^2=x^2
x^2=4+9
x^2=13
x= square root 13
Which expressions can be used to find the volume of the prism?
Answer:
I'm not seeing the options clearly so I'll answer the entire question then perhaps you can get your answer from that
Step-by-step explanation:
Formula for finding volume of rectangular prism =
Area or rectangle x Height
(L x B) x H
[tex] = (8 \times 3) \times 5 \\ = (24) \times 5 \\ = 120 {cm}^{3} [/tex]
I hope it helped?
The graph of the function f(x)= x²-3 is translated. The new function rule is f(x)= x²-1.
Which statement is true?
a. Every point on the graph is shifted down 1 unit.
b. Every point on the graph is shifted left 1 unit.
c. Every point on the graph is shifted right 2 units.
d. Every point on the graph is shifted up 2 units.
Answer:
Step-by-step explanation:
The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts the function b units downward. f (x + b) shifts the function b units to the left.
so it should be d
Solve x2+x-1=0 using the quadratic formula.
Answer:
x = [tex]\frac{-1 ±\sqrt{5} }{2}[/tex]
Step-by-step explanation:
Ignore the A that doesn't belong in the answer
Which is equivalent to 5.253 × 10-²?
Step-by-step explanation:
equivalent to 5.253 × 10-² is 0.05523
hope it is helpful to you
PLEASE HELP FAST, THANKS
Answer:
c=66 a=35 b=74
Step-by-step explanation:
According to the sum of the internal angles of the triangle is 180 °， The degree of each angle can be calculated
Find the value of x (No explanation please :)
Answer:
48
Hope this helps!
En la figura se muestran dos bloques de m1= 0,8 Kg y m2= 0,2 kg si el bloque de masa m2 es arrastrado por el bloque masa m1 calcular la aceleracion del sistema y la aceleracion de la cuerda
Answer:
The acceleration in the system and in the rope is same as 5.88 m/s2.
Step-by-step explanation:
The figure shows two blocks of m1 = 0.8 Kg and m2 = 0.2 kg if the block of mass m2 is dragged by the block of mass m1 calculate the acceleration of the system and the acceleration of the rope
Let the acceleration is a and the tension in the string is T.
Use Newton's second law
[tex]m_1 g - T = m_1 a ..... (1)\\\\T -m_2 g = m_2 a ......(2)\\\\Add both of them \\\\(m_1 - m_2) g = (m_1 + m_2) a \\\\(0.8-0.2)\times9.8 = (0.8+0.2)a\\\\a = 5.88 m/s^2[/tex]