Answer:
If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
, and solve for b.
If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
. Solve the resulting system of two equations in two unknowns to find a and b.
Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
.
Step-by-step explanation:
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
Answer:
15
Step-by-step explanation:
3/8 rounded to the nearest thousand
19/50
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Determine the corresponding general form of each of the following vertex form
1. y = (x– 1)2
A. y = x2+ x + 1
B. y = x2 – 2x – 1
C. y = x2 – 2x + 1
2. y = (x + 4)2– 5
A. y = x2+ 8x – 11
B. y = x2+ 8x – 21
C. y = x2+ 8x + 21
3. y = -(x + 9)2– 10
A. y = -x2– 18x + 91
B. y = -x2– 18x – 91
C. y = -x2– 18x – 71
4. y = 3(x + 2)2– 18
A. y = 3x2+ 12x – 6
B. y = 3x2+ 12x + 6
C. y = 3x2+ 12x – 14
5. y = -2(x + 1)2– 16
A. y = -2x2– 4x – 18
B. y = -2x2– 4x – 2
C. y = -2x2– 4x – 14
6. y = 5(x + 5)2
A. y = 5x2+ 50x + 125
B. y = 5x2+ 50x + 25
C. y = 5x2+ 25x + 125
7. y =1/2(x + 8)2– 8
A. y = 1/2x2 + 8x + 24
B. y= 1/2x + 8x – 40
C. y = 1/2x2 + 16x + 24
8. y = (x + 3/2)2 + 3/4
A. y = x2+ 3x + 2
B. y = x2 + 6/4x + 12/16
C. y = x2 + 3x + 3
9. y = 2(x + 8)2– 5x
A. y = 2x2 + 32x + 59
B. y = 2x2 + 27x + 128
C. y = 2x2+ 37x + 64
10. y = -5(x – 4)2+ 15
A. y = -5x2+ 40x – 65
B. y = -5x2 – 40x – 65
C. y = -5x2+ 40x + 65
Answer:
Step-by-step explanation:
(a + b)² =a² + 2ab + b²
(a -b)² = a² - 2ab + b²
1) y = (x -1)²
y= x² - 2*x*1 + 1
y = x² - 2x + 1
Ans: C
2)y = (x +4)² + 5
y = x² +2*x*4 + 4² + 5
= x² + 8x + 16 + 5
y = x² + 8x + 21
C
3) y = -(x + 9)²- 10
y = - [x² + 18x + 81] - 10
= -x² - 18x - 81 - 10
y =-x² - 18x - 91
B
4) y = 3(x + 2)² - 18
y =3 [x² + 4x + 4] - 18
y = 3x² + 12x + 12 - 18
y =3x² + 12x - 6
A
5) y = -2(x + 1)² - 16
= -2[x² + 2x + 1] -16
= -2x² - 4x - 2 - 16
y = -2x² - 4x - 18
A
6) y = 5(x + 5)²
=5[x²+ 10x + 25]
y = 5x² +50x + 125
A
7)y = (1/2)(x + 8)² - 8
y = (1/2) (x² + 16x + 64) - 8
[tex]y = \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24[/tex]
A
8) y = (x + 3/2)² + 3/4
[tex]y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3[/tex]
C
9) y = 2[x² + 16x + 64] - 5x
y = 2x² + 32x + 64 - 5x
y =2x² + 27x + 6
Red At Santa's workshop, Jingles
the Elf sampled candy canes. He found
that 18 candy canes were broken. This
number represented 15% of the total
number of candy canes he inspected.
What was the total number of candy
canes Jingles sampled?
Based on the total number of candy canes damaged and the proportion of the total it was, the total inspected was 120 candy canes.
Assuming the total number of candy canes inspected is x, the relevant formula would be:
18 = x × 15%
Solving for x would give us:
18 = 0.15x
x = 18 / 0.15
= 120 candy canes
In conclusion, 120 canes were sampled.
Find out more at https://brainly.com/question/529563.
[plz help 20 points
i really need help.
Answer:
its A
Step-by-step explanation:
I don’t know what the answer Is
Answer:
Exact Form: x = 10/7
______
Decimal Form: x = 1.428571
Mixed Number Form: x = 1 3/7
Hope this helps, have a nice day/night! :D
If this helped please mark this as brainliest!
Answer:
In the picture
Step-by-step explanation:
Good luck!
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Part B
Write an equation representing how much Tristan paid.
Part C
Write an equation representing how much Keith paid.
Part E
Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?
Part F
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
Answer:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.
THNX IN ADVANCE
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
(X-5)(X+6)
Expand and simplify
Answer:
Step-by-step explanation:
(x - 5)(x + 6) = x *(x + 6) - 5*(x + 6)
=x * x + 6 *x + x*(-5) + 6*(-5)
= x² + 6x - 5x - 30 {Combine like terms}
= x² + x - 30
x2-4x+6=0
Someone help with solve this
Answer:
0 is the answer..(•‿•)(. (•‿•)(•‿•)(•‿•)
Graph the following
1. f(x) = 2x² + 2
2. f(x) = 5x²+ 20x-1
Answer:
Step-by-step explanation:
Use DESMOS. See attached.
graph the f(x)=(x+2)^2+3
Answer:
am also not sure
Step-by-step explanation:
Lyndon got a new job which pays $24.25 per hour. He works 40 hours per week. He pays 5% state income tax on his earnings. How much does Lyndon have remaining after state income tax is deducted from 4 weeks of pay?
Answer:
$3686 remaining after tax
Step-by-step explanation:
Solve for f.
1≤2–f
89 points pls help
Answer:
f ≤ 1
Step-by-step explanation:
1) Subtract 2 from both sides.
1 - 2 ≤ - f
2) Simplify 1 - 2 to - 1.
- 1 ≤ - f
3) Multiply both sides by - 1.
1 ≥ f
4) Switch Sides.
f ≤ 1
[tex]\\ \sf\longmapsto 1\leqslant 2-f[/tex]
Take 2 to right[tex]\\ \sf\longmapsto 1-2\leqslant -f[/tex]
[tex]\\ \sf\longmapsto -1\leqslant -f[/tex]
Multiply -1 on both sides
[tex]\\ \sf\longmapsto f\leqslant 1[/tex]
Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?
9 feet
18 feet
30 feet
33 feet
Answer:
Step-by-step explanation:
The Width of the garden will be 9 feet.
Step-by-step explanation:
Given:
Manny has wood =48 feet
Length of the garden = 15 feet
The equation which can be used .
We need to find the width of the garden.
Solution :
Now Length of the garden is given we will substitute in the given equation to find the width.
Now Using Subtraction property we will subtract both side by 30 we get;
Now Using Division Property we will divide both side by 2 we get;
Hence the Width of the garden will be 9 feet.
I actually don’t understand this can someone please help?
Answer:
It's proportional when you have a straight line that goes through the origin, meaning (0,0), meaning x = 0 and y = 0, meaning: when x = 0, then y has to be = 0 too! That's obviously not the case here. You can see that the line hit the y axis way above 0. So this graph is not directly proportional to x.
Step-by-step explanation:
Write in point slope form the equation for the line that goes through the point (-1,-6) and has a slope of 16
Answer:
y+6 = 16 (x+1)
Step-by-step explanation:
Point slope form of an equation is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y- -6 = 16 (x- -1)
y+6 = 16 (x+1)
PLEASE HELP
Find the current value of a car bought for new at $18300 which depreciates at 8% per annum over 4 years
Answer:
12, 444
Step-by-step explanation:
•First find out what is 8% of 18300
=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]
• Next multiply 1464 by 4 years =5,856
•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money
decreased & 5856 represnt 8% of 18300 in 4 years)
Note :~ Appreciation is when money increases
~Deperciation is when money decreases
Hope this helps !!!Bran walked a total of 16 kilometers by making 4 trips to his grandfather's place. How many trips will Bran have to make in all to walk a total of 28 kilometers?
Bran has to make in all to walk a total of 28 kilometers : 4 x 2 = 8 ( trips )
ok done. thank to me :>
5. What is the correct word form of 9.602?
A nine and sixty-two hundredths
B nine and six hundred two hundredths
C nine and sixty-two thousandths
D nine and six hundred two thousandths
Answer:
D is the correct answer
Step-by-step explanation:
your welcome
Answer:
nine and six hundred two thousandthsStep-by-step explanation:
(04.01 LC)
The equations y = −3x + 1 and y = 2x − 4 are shown in the graph.
graph of y equals 2 times x minus 4 and y equals negative 3 times x plus 1
Which is the solution to the system of equations? (1 point)
Group of answer choices
(−2, −1)
(−2, 1)
(−1, −2)
(1, −2)
Answer:
(1, −2)
Step-by-step explanation:
−3x + 1 = 2x − 4
−5x + 1 = − 4........subtract 2x from both sides
-5x = -5.................subtract 4 from both sides
x = 1.......................divide both sides by - 5
now that you have x value find y by plugging in the x value in either one of the equations (I'll be using y = -3 +1)
y = -3(1)+1
y = -3+1.............multiply
y = -2................add
FOR
Equatus
Solve THIS systim of
4x + 5y = 8
= 8
+
4x = 6-5y
Answer:
no solutions
Step-by-step explanation:
4x+5y=8
-4x+5y=6
0=2
no solutions
f(x)=3/5x-4/3 What x value makes f(x)=0
(will give brainliest to whoever answers first)
Answer:
3
Step-by-step explanation:
What is the final amount if 2024 is increased by 17% followed by a 15% decrease? Give your answer rounded to 2 DP.
Answer:
2059.20
Step-by-step explanation:
2024 increased by 17% is
2024 * 1.17 = 2368.08
2368.08 reduced by 15% is
2368.08 ÷ 1.15 = 2059.20
plz help will mark as brainliest
Answer:
18⁰
Step-by-step explanation:
As AOB is a line so it's is 180 ⁰
Hence,
5y+3y+2y=180⁰
10y=180⁰
y=180⁰/10
y=18⁰
Find x. Isosceles triangle theorems.
Answer:
x = 70°Step-by-step explanation:
If two sides of a triangle are congruent, then angles opposite those sides are congruent.
the sum of the interior angles in a triangle is 180°
(180 - 40) : 2 =
70
x = 70°
----------------------------
check
70 + 70 + 40 = 180°
the answer is good
Use the solutions below to write the quadratic expression in standard form.
x=-6 x=2
Solve this equation
(X+1)/4 = x/2
Answer:
1 = x
Step-by-step explanation:
First eliminate the fractions by multiplying both sides by the LCD, which is 4:
x + 1 = 2x
Subtracting x from both sides yields 1 = x
easy one - giving brainly if correct - show work.
my teacher said this was wrong so what's the correct answer? answer both!
Answer:
a = 9.6 b = 11.2
Step-by-step explanation:
10 percent of 8 is .8
8 + (8 x .1) = 8.8
8.8 + .8 = 9.6
She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6
When you do 8+1.6 it equals 9.6
For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2
8+3.2 = 11.2
She will be paid 11.2 dollars after 2 full years of working.
Your answer isnt wrong, I dont know why your teacher is saying it is.
What is the sum of the 2nd cube number and the 1st cube number?
What is the sum of the 2nd cube number and the 1st cube number
hidden valley motel 32 feet long