Write an exponential function in the form y=ab^x that goes through points (0,7) and
(9, 3584).
Answer:y=7(2)^x
Step-by-step explanation:
The exponential function in the form y=ab^x that goes through the given points is f(x) = 7(2)ˣ.
What are Exponential Functions?Exponential functions are functions where the independent variable, x is in the exponent.
The general form of exponential function is,
f(x) = abˣ
The function passes through (0,7) and (9, 3584).
Substituting (0, 7),
7 = a b⁰
7 = a (since b⁰ = 1)
So, a = 7
Function is f(x) = 7bˣ
Now Substituting (9, 3584),
3584 = 7 b⁹
b⁹ = 3584 / 7
b⁹ = 512
b⁹ = 2⁹
b = 2
So the function is f(x) = 7(2)ˣ
Hence the function is f(x) = 7(2)ˣ.
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Complete the input-output table that represents the linear function y=-4x+10
Answer: 6
Step-by-step explanation: the table is going down by 4 so the next number is 6
3(2x +5) - 2x= 3 (x +6)
Plzzz Someone help me
Step-by-step explanation:
afsoon the process in the picture hope you understood.
Answer:
x= 3
Step-by-step explanation:
6x + 15 - 2 = 3x + 18
4x +15 = 3x + 18
4x -3x = 18-15
x = 3
Six more than twice a number is greater than negative fourteen. Solve the inequality for the unknown number
Answer:
Step-by-step explanation:
2x+6 > -14
Subtract 6 from both sides
2x > -20
Divide both sides by 2
x > -10
The solution of the inequality 2x + 6 > - 14 will be greater than the negative 10.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Six more than twice a number is greater than negative fourteen.
Let x be the number. Then the equation will be
2x + 6 > - 14
Simplify the inequality, then the value of x will be
2x > - 20
x > - 10
The solution of the inequality 2x + 6 > - 14 will be greater than the negative 10.
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Please help me in this! I need to submit it fast.
Answer:
y=3.5x
Step-by-step explanation:
Since when x is 0 when y is 0, there is no y-intercept. The ratio with the other values gives the equation y=3.5x, because y is 3.5 times larger than x.
hallar la medida del angulo "y"
Answer: y = 11.25
Step-by-step explanation:
Mi espanol es terrible :l
Todos los angulos terminaran acompletando 90° grados
Entonces hagamos una ecuacion
3y + 4y + y = 90
8y = 90
Divide por 8
y = 11.25
Esta parte no es necesaria
Para ver si es verdad hagamos el math
3(11.25) = 33.75
4(11.25) = 45
y = 11.25
33.75 + 45 + 11.25 = 90
can someone help me
Answer:
6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
So we know that:
5x-10 = 20
5x=20+10
5x=30
x=6
hope this helps :)
Simplify 3x^2y^3•x^4y
Answer:
Step-by-step explanation:
3x²y³·x⁴y = 3x²x⁴y³y = 3x²⁺⁴y³⁺¹ = 3x⁶y⁴
If f(x) = 3x - 15, what is f(4)?
A. 3
B. -3
c. 12
D. -8
Answer:
B. -3
Step-by-step explanation:
f(x) = 3x - 15
f(4) means x=4, so you want to plug 4 into the equation.
f(4) = 3(4) - 15
f(4) = 12 - 15
f(4) = -3
Answer:
B
Step-by-step explanation:
f(4) has the same meaning (for this question ) as x = 4
Let x = 4
f(4) = 3*4 - 15
f(4) = 12 - 15
f(4) = - 3
B
Solve the two-step equation and identify the steps. 94 points
2 = − 7
4
+ 1
4
x
1.
Subtract
StartFraction 7 over 4 EndFraction to both sides.
2.
by 4.
The solution is x =
.
Answer:
Step-by-step explanation:
Can you like put the equation together it looks highly confusing
The solution for the given equation is 15.
The given equation is 2 = -7/4 + 1/4 x.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 2 = (-7+x)/4
2×4 = -7+x
8 = -7+x
x = 8+7
x = 15
Therefore, the solution for the given equation is 15.
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7x - 8 = 41 what does x equal to
Answer:
7
Step-by-step explanation:
41+8=49 49/7=7
Answer:
Step-by-step explanation:
7x-8=41, add 8 to both sides
7x=49, divide both sides by 7
x=7
Find x.
2x + 40
3x
4x
X + 50
x= [?]
I
Enter
Answer:
[tex]x = 27[/tex]
Step-by-step explanation:
A shape exterior angles add up to 360.
All of these angles are exterior angles so we can add up all of them to and set it equal to 360 to find x.
[tex]3x + 4x + 2x + 40 + x + 50[/tex]
[tex]10x + 90 = 360[/tex]
[tex]10x = 270[/tex]
[tex]x = 27[/tex]
I need answer ASAP: You are running a fuel economy study. One of the cars you find is blue. It can travel 40 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 22 2/5 miles on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on of gasoline?
Answer:
Blue: 32.4 mpg
Red: 28 mpg
The Blue car will travel farther on a gallon of gasoline
Step-by-step explanation:
Blue: 40.5/1.25=32.4 mpg
Red: (22 2/5)/(4/5) =22.4/0.8=28 mpg
What has the same value as 75% of 96
Answer:
72
Step-by-step explanation:
75% of 96 = 0.75 x 96
= 72
Find c. Round to the nearest tenth.
Answer:
Step-by-step explanation:
[tex]\theta =cos^{-1}\left(\frac{90^2+55^2-50^2}{2(55)90}\right)\\ \\ \theta =cos^{-1}\left(\frac{8625}{9900}\right)\\ \\ \theta =2.9^o[/tex]
Answer:
29.4
Step-by-step explanation:
Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Linda buy 3 stickers and 2 erasers?
[Use the inequality 0.35x + 0.99y + 0.59 ≤ 3]
Answer:
No
Step-by-step explanation:
Step 1: Understand the inequality
The inequality 0.35x + 0.99y + 0.59 ≤ 3 contains 2 variables 'x' and 'y'. We can see the 'x' is multiplied by 0.35 which is the price of a sticker which means 'x' represents how many stickers Linda is buying. The 'y' is multiplied by 0.99 which is the price of a eraser which means 'y' is how many erasers Linda is buying. We ignore the 0.59 as that's the price for a pencil but Linda doesn't buy a pencil
Step 2: Sub in the values
[tex]0.35(3)+0.99(2)<3\\1.05+1.98<3\\3.03<3[/tex]
Step 3: Interpret the answer
Because the equality isn't true we can conlude Linda doesn't have the money to buy 3 stickers and 2 erasers
Answer:
no
Step-by-step explanation:
0.35x3=$1.05
0.99x2=$1.98
add $0.59+$1.98+$1.05
=$3.62
Which scenario matches the relationship shown in the table?
A. Adi makes 25 dollars an hour.
B. Adi spent 25 dollars on a calculator.
C. Adi divided 25 dollars between her sisters.
D.Adi makes 1 hour for every 25 dollars.
answer: A. Adi makes 25 dollars an hour.
Answer:
You are correct!! The table does show that she makes 25 dollars in 1 hour.
Am i suppose to answer it because you already said the answer is A. Well, You're right.
And Thank you!
Which is the correct algebraic expression for "6 less than 3 times a number?
Answer: [tex]\huge\boxed{\ m=7 }[/tex]
Step-by-step explanation: We can break this problem down to understand it. Let the number be m. Three times the number 'm ' is 3.m or 3m. 3 ( m ) - 6 = 15. 3m -6 = 15 add 6 to both sides; 3m -6 + 6 = 15 + 6 3m = 21 dividing both the sides by 3 ,and we get; 3m /3 = 21 / 3 m=7 .
Best of Luck!
Which angles shown in the drawing are obtuse?
∠ABE
∠DBA
∠DBC
∠CBE
Answer:
the first and third one
Step-by-step explanation:
those are obtuse triangles because they open wide
Consider the quadratic expression given below.
4x^2 + 8x -60
Factor the following expression completely.
Can someone help me with this please?
Consider the triangle below.
Determine the angle measure for angle A and angle M in order for triangle GAM to be classified as an isosceles triangle.
Given :
▪︎Measure of ∠G = 64°
▪︎△GAM is an isosceles triangle.
We know that :
▪︎The opposite base angles of an isosceles triangle are always equal.
Let the measure of ∠A be x.
Then, the measure of ∠M will also be x.
Which means :
[tex] = \tt64 + x + x = 180[/tex]
[tex] = \tt64 + 2x = 180[/tex]
[tex] = \tt2x = 180 - 64[/tex]
[tex] =\tt 2x = 116[/tex]
[tex] =\tt x = \frac{116}{2} [/tex]
[tex] = \tt \: x = 58[/tex]
Since the sum of all these angles is equivalent to 180°[64+58+58=180], we can conclude that we have found out the correct measure of each of these angles.
▪︎Therefore :Measure of ∠A = 58°
Measure of ∠M = 58°
Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following expression shows the amount of money that will be in the account x weeks after Mason opens it.
165.85 + 20.5x
How much money will be in the account after 10 weeks?
After 10 weeks, there will be $
in the account.
Answer:
370.85
Step-by-step explanation:
Paul plans to buy a movie that has a regular price of $19.99. It is on sale for 25% off, but Paul will have to pay 6% sales tax. Which is the MOST reasonable estimate of the total cost of the movie including tax?
A $14:00
B $15:00
C $16:00
D $17:00
Answer:
$16.00
Step-by-step explanation:
19.99 x .75 = 14.9925
14.9925 x 1.06 = 17.89205
whats is x − 2 /3 = 1 5 /6??
Solve for x in the partial spiral below.
Answer:
[tex] x = \sqrt 5[/tex]
Step-by-step explanation:
On solving by Pythagoras theorem:
(Going in counterclockwise direction)
For bottom most triangle :
Length of Hypotenuse [tex] = \sqrt {1^2 +1^2} =\sqrt {1+1}=\sqrt 2[/tex]
The for second triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 2) ^2 +1^2} =\sqrt {2+1}=\sqrt 3[/tex]
The for third triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 3) ^2 +1^2} =\sqrt {3+1}=\sqrt 4 = 2[/tex]
The for fourth triangle :
x [tex] = \sqrt {(2) ^2 +1^2} =\sqrt {4+1}=\sqrt 5 [/tex]
The x value for the given partial spiral is √5 units.
We need to solve for x in the partial spiral given.
What is Pythagora's theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
From the right triangle 1:
Let the hypotenuse be a.
So, a²=1²+1²
⇒a=√2
From the right triangle 2:
Let the hypotenuse be b.
So, b²=(√2)²+1²
⇒b=√3
From the right triangle 3:
Let the hypotenuse be c.
So, c²=(√3)²+1²
⇒b=√4=2
From the right triangle 2:
The hypotenuse=x
So, x²=2²+1²
⇒x=√5
Therefore, the x value for the given partial spiral is √5 units.
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Victoria is going to invest in an account paying an interest rate of 1.5% compounded quarterly. How much would Victoria need to invest, to the nearest hundred dollars, for the value of the account to reach $3,300 in 13 years?
Answer: P = 2716.3448786 or about 2700
Step-by-step explanation:
The amount that need to invest, to the nearest hundred dollar is to be considered as the 2,700.
Calculation of the amount:Since
The interest rate be like = 1.5% = 1.5% / 4 = 0.38%
The time period = 13 * 4 = 52
The future value = $3,300
The PMT is = $0
Now the following formula is used;
So,
= -PV(RATE,NPER,PMT,FV,TYPE)
After applying it, the present value should be $2,700
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PLZZ HELP MARKING BRAINLEIST
Answer:
Length of side QP = 5
which is the slope of a line that is perpendicular to the line that passes through the points (29, 24) and (3, 4)?
Answer:
26/20
Step-by-step explanation:
y2-y1 divided by x2-x1
4-24= -20
3-29= -26
-20/-26= m
perpendicular means to switch the numbers and change the sign
a perpendicular slope to -20/-26 is 26/20.
Joshua goes to a local farmers market and see sinuses apples $9.80 per 10 pound bag which is a unit rate of the price per pound
Answer:
$0.98
Step-by-step explanation:
Given data
Cost of sinuses apples = $9.8 for 10 pound
We want to find the cost per pound
Hence
if 10 pounds cost $9.8
1 pound will cost x
cross multiply
x= 9.8/10
x= $0.98
Hence a pound will cost $0.98