Remember from now on ;
If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.
Got it ?
Now Let's do it .....
[tex]f( x) = 8 {x}^{2} - 14x - 10 [/tex]
[tex]f( - 2) = 8({ - 2})^{2} - 14( - 2) - 10 \\ [/tex]
[tex]f( - 2) = 8 \times 4 + 28 - 10[/tex]
[tex]f( - 2) = 32 + 28 - 10[/tex]
[tex]f( - 2) = 60 - 10[/tex]
[tex]f( - 2) = 50[/tex]
_________________________________
And we're done...
♥️♥️♥️♥️♥️
What is the image of (-2,5) after a refection in the line y=3?
1. (-2, 1)
2. (8.53
3. (-6, 15)
4. (-1,2)
5. (1,8)
Read the problem to choose the correct method, then solve. A farmer buys a tractor for $50,000. If the tractor depreciates 10% per year, use an exponential function to find the value of the tractor in 7 years. AD CO Exponential Growth, $97,435.86 Exponential Decay, $23,914.85 Exponential Growth, $315,000 Exponential Decay, 21,523.36
Answer:
The correct option is, Exponential Decay, $23,914.85.
Step-by-step explanation:
A farmer buys a tractor for $50,000.
It is provided that the the tractor depreciates 10% per year.
The exponential function for decay is:
[tex]y=a\cdot (1-r\%)^{t}[/tex]
Here,
a = initial value
r = decay rate
t = time
Compute the value of the tractor in 7 years as follows:
[tex]y=a\cdot (1-r\%)^{t}[/tex]
[tex]=50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85[/tex]
Thus, the correct option is, Exponential Decay, $23,914.85.
Jamal needs to dig a ditch 15 yards long.
Jamal digs 7 yards in the morning and
another 3 yards after lunch. How much is left to dig
more of the ditch is left to dig?
Answer:
5 yards
Step-by-step explanation:
7y+3y=10yards
15yards-10yards=5yards
POSSIBLE POINTS: 0.86 Marcus is trying to decide between a cable subscription and a satellite dish. The cable subscription has a $40 setup fee and costs an additional $38 per month. Marcus has $500 budgeted for cable. How many months (m) can he pay for the cable subscription? WRITE AN EQUATION THAT CAN BE USED TO FIND THE NUMBER OF MONTHS HE CAN PAY FOR THE CABLE SUBSCRIPTION
Answer:
0.156
Step-by-step explanation:
step1. add 40 + 38 = 78
step2. divide 78 by 500 to get 0.156
hope im right
Solve for x
(x+3)^2
x^2 + 3x + 2
2x^2 + 3x + 2
x^2 + 6x + 2
x^2 + 6x + 9
x^4+6x^3+35x^2+18x+9
All I can figure out sorry
ASAP
Can someone help me please
more information pls
Can someone please please help me?
Answer:
Step-by-step explanation:
2,23
4,24
6,25, etc
What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
Answer:
b=-7 or the y-intercept is -7
Step-by-step explanation:
-7= =3(0)+b
-7=b
How do i get A and B ?
Answer:
a=60°
b=300°
Step-by-step explanation:
the triangle is equilateral so all angles are 60 °
a = 60°
b=360 - 60 =300°
Answer:
A is 60°, B is 300°
Step-by-step explanation:
If you look closely, you can tell that this circle is divided into 6 triangles, but there is only one showing. This triangle is 1/6 of the circle.
You can find B by find 1/6 of 360° and subtracting that from 360, (a full circle is 360°)
1/6 of 360° is 60°
360° - 60° = 300°, so B is 300°
Now lets find A. Triangles are 180°. This triangle is obviously an equilateral triangle, so the measurements will all be the same.
180 ÷ 3 is 60, so A is 60°
I hope this helped, please mark Brainliest, thank you!
Please help me with this. First answer gets brainliest
Answer:
2 = 15 deg
3 = 75 deg
5= 15 deg
Step-by-step explanation:
John works at a factory and makes $11.25 an hour. This week he worked 45 hours
and last week he worked 39 hours. How much money did John make in the past 2
weeks?
Answer: $945
Step-by-step explanation: 11.25x39 is 438.75 and 11.25x45 is 506.25 and you add them together which is 945
Craig bought 4.5 pounds of ground beef for $29.25. What is the unit price of the ground beef?
Answer:
the answer would be 6.50
Step-by-step explanation:
unit price is the price for 1 pound in this example, to find it you have to divide 29.25 by 4.5 which would give you 6.50, hope this helps!
What is the image of (1,8) after a dilation by a scale factor of 4 centered at the origin?
Answer:
(5,40)
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1,8
IF yall report 1 more time istg
Whats 2/3 x 1/5
Answer:
2/15
Step-by-step explanation:
2/3*1/5=2/15
Answer:
0.133
Step-by-step explanation:
Write each decimal as a fraction in simplest form.
9. 0.008
10. -0.6
11. -2.05
9.1/125
10.-3/5
11. -2 1/20
MULTIPLE CHOICE QUESTION
ink
!!!
In order to scale up a ratio, we must...
multiply both numbers by 2
divide both numbers by 2
divide both numbers by the same amount
multiply each number by the same
amount
le
What the answer
Answer:
divide both number by the same amount
There are 75 ounces of chips in the extra-large bag. A serving size is 4 ounces. How many servings are in the chip bag?
Answer:
18
Step-by-step explanation:
75 divided by 4 is 18.75
so there are 18 servings
50 POINTS please show the step by step process.I already know the answers i just the steps!!
1.Factor: 4x^2+28x-36
2.Factor: 125x^6-27y^15
3.Multiply: (4x-7)(5x-8)
Answer:
1. 4(x² + 7x - 9)2. (5x² - 3y⁵) (25x⁴ + 15x²y⁵ + 9y¹⁰)3. 20x² - 67x + 56Step-by-step explanation:
1. factor 4x^2+28x-36
= 4x² + 28x - 36
re-write 36=4*9, and 28=4*7
= 4x² + 4 * 7x - 4 * 9
factor out common term:
= 4(x² + 7x - 9)2. factor 125x^6-27y^15
= 125x⁶ - 27y¹⁵
=(5x²)³ - (3y⁵)₃
apply difference of cubes: x³-y³ = (x-y)(x²+xy+y²)
= (5x² - 36y⁵)(5²x⁴ + 5 * 3x²y⁵ + 3²y¹⁰)
refine:
= (5x² - 3y⁵) (25x⁴ + 15x²y⁵ + 9y¹⁰)3. multiply (4x-7)(5x-8)
apply the FOIL method
= 4x * 5x + 4x (-8) + (-7) * 5x + (-7) (-8)
= 20x² - 67x + 561-(2x+4)=4x+5 solution
what does 3½-1⅞ equal???
simplify
-3·-8
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
24
Step-by-step explanation:
A negative integer times a negative integer is the same as a positive integer times a positive integer, so this would be the same as (8)(3) which is 24.
(8 – 3r) 6
Need help simplify this expression
Pls help ill give brainliest
Answer:
corresponding
Step-by-step explanation:
they are Supplementary . Because the total angle of angle 1 and 2 when added they should give 180°.
Mark earns $560 per week plus a 2% commission on everything he sells. Write and solve an inequality to find out how much he must sell to have a weekly income of at least $720.
Answer:
Step-by-step explanation:
400 + 0.03x > 700
what is the slope of (19,14) & (21,19)
Step-by-step explanation:
Hey there!
Given; The points are; (19,14) and (21,19).
Note: Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{19 - 14}{21 - 19} [/tex]
Simplify it.
[tex]m = \frac{5}{2} [/tex]
Therefore, slope(m)= 5/2.
Hope it helps...
Answer:
slope = 5/2
Step-by-step explanation:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]\frac{19-(14)}{21-(19)}[/tex]
m=[tex]\frac{5}{2}[/tex]
-2(4x - 2) < - 8x + 4
Answer:
Both sides are equal.
So less than symbol can't be use in this case.
Step-by-step explanation:
This problem has no solution until you change any elements correctly.
thanks..
Solve for value of y.
Answer:
y = 6
General Formulas and Concepts:
A box at an angle signifies a 90° angle.
The 2 angles that add up to 90° are called Complementary AnglesStep-by-step explanation:
Step 1: Set up equation
The 2 angles are Complementary Angles. They must add up to 90°.
(6y + 5) + (8y + 1) = 90
Step 2: Solve for y
Combine like terms: 14y + 6 = 90Subtract 6 on both sides: 14y = 84Divide both sides by 14: y = 6Answer:
y = 6
Step-by-step explanation:
So, the two angles sum up to 90 degrees.
Based on that, form an equation;
6y + 5 + 8y + 1 = 90
simplify,
6y + 5 + 8y + 1 = 90
14y + 6 = 90
inverse operations,
14y + 6 = 90
-6 -6
14y = 84
/14 /14
y = 6
PLEASE help me with this equation
Answer:
1/25
Step-by-step explanation:
I worked out the equation!
Car Y travels 105 miles on 3 gallons of petrol. Car Z travels 80 miles on 9 litres of petrol.
Which car has better petrol consumption ( more miles per gallon)?
You may use the fact that 1 gallon =4.5 litres
Options are
A. None
B. Y
C. Z
Answer:
Car Z has better petrol consumption. Choice C. Z
Step-by-step explanation:
Petrol Consumption
Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon
Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.
This means that car Z has better petrol consumption. Choice C. Z
Two times the difference of 13
and a number is -4. Write an
equation representing this
situation and solve for the
number.
Answer:
Step-by-step explanation:
let number be x
CASE 1) when x>13
2(x-13) = 4
2x - 26 = 4
2x = 30
x = 15
CASE 2) when x<13
2(13 - x) = 4
26 - 2x = 4
26 - 4 = 2x
22 = 2x
11 = x