The data in the table represents the value of a savings account at the end of each year for 6 years. The relationship between the increasing years and the increasing value of the account is exponential. There israte of change in an exponential relationship. After each year, the value of the account istimes as large as the previous year.
Answer:
1. Constant multiplicative.
2. 1.05.
Step-by-step explanation:
Their savings increase by 1.05x every year.
Please Explain step - by - step!
Answer:
use PEMDAS
Step-by-step explanation:
start with doing what's in the parenthesis 3+2 = 5
7+4^3-3-5^2
then do ur exponents
7+64-3-25
then do you addition and subtraction left tto right
71-3-25
68-25
43
ur answer is 43
Explain how to determine if the two expressions are
equivalent using x = 6 and x = 10.
8x + 40
8(x + 5)
Answer:
If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.
Step-by-step explanation:
got it right!
The two expressions are equivalent.
Important information:
The given expressions are [tex]8x+40[/tex] and [tex]8(x+5)[/tex].The given values are [tex]x=6[/tex] and [tex]x=10[/tex].Equivalent Expressions:The values of both expression for [tex]x=6[/tex] are:
[tex]8(6)+40=48+40[/tex]
[tex]8(6)+40=88[/tex]
And
[tex]8(6+5)=8(11)[/tex]
[tex]8(6+5)=88[/tex]
The values of both expression for [tex]x=10[/tex] are:
[tex]8(10)+40=80+40[/tex]
[tex]8(10)+40=120[/tex]
And
[tex]8(10+5)=8(15)[/tex]
[tex]8(10+5)=120[/tex]
Since the values of both expressions are equal for each of the values [tex]x=6[/tex] and [tex]x=10[/tex]. Therefore, the two expressions are equivalent.
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HELP ME PLEASEEEE :,(
Step-by-step explanation:
[tex]{a}^{2} = b + 6 [/tex]
[tex]b = {a}^{2} - 6[/tex]
Help me please!!!!!!!!
Answer:
D y= ax^2 + bx+c = 0
Step-by-step explanation:
The standard form of a quadratic equation is
ax^2 + bx+c = 0
x = -b/2a is the equation for the line of symmetry
a quadratic is a parabola, but that is not the standard form
vertex is the minimum or maximum of the parabola
Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3?
Missing Part of the Question
3 (4 - y) -7 ; 5 + 3y 9 + y + 4y - 2 - 3y; -2y + 7 5 + y - 2 - 6y + y; 8y + 3 2y + 7 + y - 2 + y; 4y + 5Answer:
2y + 7 + y - 2 + y; 4y + 5Step-by-step explanation:
Given
y = 3
Required
Which pair of expression are equal
To get the pair of expression that are equal; we simply substitute 3 for y in each of the expressions
3 (4 - y) -7 and 5 + 3y
Substitute 3 for y in 3 (4 - y) -7
This gives 3(4 - 3) -7
= 3(1) - 7
= 3 - 7
= -4
Then Substitute 3 for y in 5 + 3y
This gives 5 + 3(3)
= 5 + 9
= 14
-4 and 14 are not equal
---------------------------------------------------------------------------------------
9 + y + 4y - 2 - 3y; -2y + 7
Substitute 3 for y in 9 + y + 4y - 2 - 3y
This gives 9 + 3 + 4(3) - 2 - 3(3)
= 9 + 3 + 12 - 2 - 9
= 13
Then Substitute 3 for y in -2y + 7
This gives -2(3) + 7
= -6 + 7
= 1
13 and 1 are not equal
---------------------------------------------------------------------------------------
5 + y - 2 - 6y + y; 8y + 3
Substitute 3 for y in 5 + y - 2 - 6y + y
This gives 5 + 3 - 2 - 6(3) + 3
= 5 + 3 - 2 - 18 + 3
= -9
Then Substitute 3 for y in 8y + 3
This gives 8(3) + 3
= 24 + 3
= 27
-9 and 27 are not equal
---------------------------------------------------------------------------------------
2y + 7 + y - 2 + y; 4y + 5
Substitute 3 for y in 2y + 7 + y - 2 + y
This gives 2(3) + 7 + 3 - 2 + 3
= 6 + 7 + 3 - 2 + 3
= 17
Then Substitute 3 for y in 4y + 5
This gives 4(3) + 5
= 12 + 5
= 17
17 and 17 are equal
Hence, Option D is correct
Answer: 2y + 7 + y - 2 + y; 4y + 5
Step-by-step explanation: just did it
need this done as soon as possible pls help
Answer:
it should be 1.5 inches.....
Renan found the sum (4.2x + 3) + (5.7x – 2) + (5 – 2.6x), as shown.
4.2x + 3 + 5.7x – 2 + 5 – 2.6x
4.2x + 5.7x + 2.6x + 3 – 2 + 5
(4.2 + 5.7 + 2.6)x + 3 – 2 + 5
12.5x + 6
Answer:
He used the commutative property incorrectly.
Step-by-step explanation:
Answer:
a is correct
Step-by-step explanation:
Our school gets $100,000 in donations from celebrities to buy Chromebooks for class learning. Each Chromebook costs $385 plus $20 insurance. what is the maximum number of Chromebook that we can buy for our students?
Answer: 246 laptops.
Step-by-step explanation: if they each each take 20 for insurance and 385 then its 405 title. hen you take 100,000 and divide it by 405 getting 246.91358. but you cant buy .91358 of a computer so you round down.
Which expression is the factored equivalent of x2 - 5x + 4?
A.
(x - 1)(x - 4)
B.
(x - 3)(x - 1)
C.
(x + 4)(x + 1)
D.
(x + 1)(x - 4)
Answer:
Step-by-step explanation:
A
The factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).
To factor the quadratic expression x² - 5x + 4, we need to find two binomials that, when multiplied, will result in the given expression.
We can start by looking for two numbers whose product is 4 (the constant term) and whose sum is -5 (the coefficient of the x term).
The numbers that satisfy these conditions are -1 and -4, as (-1)(-4) = 4 and -1 + (-4) = -5.
Using these numbers, we can express the quadratic expression as:
x² - 5x + 4 = (x - 1)(x - 4)
Therefore, the factored equivalent of x² - 5x + 4 is option A: (x - 1)(x - 4).
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A.) $203,000.00
B.) $177,000.00
C.) $207,000.00
D.) $197,000.00
Swell Computers is preparing to market a new microchip to upgrade computers already purchased by consumers. Management sees a huge potential for sales since people will not have to purchase a whole new computer system to have access to the latest technology, just this chip. The company has already determined that it can produce these chips for $8 each, with a $5000 start-up cost. Projections indicated that sales of x chips will generate a revenue of R(x)=200x-0.01x^2. How much profit do they hope to make on the first 1000 chips sold?
Answer:
A?
Step-by-step explanation:
Write 3 tenths and 9 hundredths as a decimal
Answer:
0.39
Step-by-step explanation:
1 tenth: 1/10 = 0.1
1 hundredth = 1/100 = 0.01
3(0.1) + 9(0.01)
0.3 + 0.09
0.39
Graph the equation.
X squared plus y squared equals 9
Answer:
Step-by-step explanation:
This graph is a circle. The general equation for a circle is x² + y² = r², where r is the radius. In this case, the radius is 3 because √9 = 3. Also, the center is (0,0) because the circle is not translated. Therefore, the graph is a circle with center (0,0) and radius 3. If you still need help, the y-intercepts are (0,±3) and the x-intercepts are (±3,0). Hope this makes sense!
The temperature in Petersburg was recorded over a period of four
hours. The equation y= - 4x +35 describes the temperature over
this time, where y is the temperature in degrees Fahrenheit (°F) and x
is the number of hours since measurements started. Which of the
following statements correctly describes the temperature?
of QUESTIONS
It was -4°F when the temperature was first measured, and it is rising by
35 degrees per hour.
It was -4°F after four hours, and it is rising by 35 degrees per hour.
It was 35°F after four hours, and it is dropping by 4 degrees per hour.
It was 35°F when the temperature was first measured, and it is dropping
by 4 degrees per hour.
Answer:
x = 35/4
Step-by-step explanation:
Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0
Answer:
y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e
Step-by-step explanation:
Using exponential function concepts, it is found that the range of the function after it has been reflected over the x-axis is given by:
all real numbers less than 0.
What is an exponential function?It is modeled by:
[tex]y = ab^x + c[/tex]
In which:
a is the initial value.b is the rate of change.The range is (c, infinity).In this problem, a reflection over the x-axis means that it was multiplied by -1, hence the range will be (-infinity, 0), hence the correct option is;
all real numbers less than 0.
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A circle has a circumference of 32.4 mm. Find the radius and the diameter. Round your answers to two decimal places.
5.16 mm; 10.31 mm
10.31 mm; 5.16 mm
5.16 mm; 2.58 mm
2.58 mm; 5.16 mm
Answer:
5.16 mm; 10.31 mm
Step-by-step explanation:
Circumference: [tex]C = 2\pi r[/tex]
So all you do is:
[tex]32.4=2\pi r\\32.4/2\pi = r\\5.16 = r[/tex]
and then the radius is just half of the diameter so
[tex]5.16*2=10.31[/tex]
4
A mall manager asks the store owners what fraction of their products are on sale. The store owners' responses are displayed on the line plot. What fraction of the stores have or less of their products on sale?
Mall Stores Sale Items
A.
B.
C.
D.
Answer:
its 1/2
Step-by-step explanation:
people stop putting answer if your not sure you just want points
Solve the system of equation: y = x + 5 ; y = 2x +2 x= ? , y = ?
I need this ASAP
It's simple Please!!!!!!!
Answer:
x = 3
y = 8
Step-by-step explanation:
y = x + 5
y = 2x + 2
They both equal y, so:
x + 5 = 2x + 2
x + 3 = 2x
3 = x
Put the value of x into the equations:
y = 3 + 5 = 8
y = 2(3) + 2 = 8
x = 3
y = 8
pls help me ou i need to turn this in pls pls
Answer:
3
Step-by-step explanation:
will mark bianleast
What are the diameter and radius of a circle with a circumference of 32π ft?
d = 32 ft
r = 16 ft
d = 8 ft
r = 16 ft
d = 16 ft
r = 8 ft
d = 16 ft
r = 32 ft
Answer:r=16 ft , d =32 ft (a)
Step-by-step explanation:
c=2 pi r
32pi= 2 x pi x r
r=32 pi/2pi
r= 16
diameter = radius x 2
d= 16 x 2
d = 32
If each square unit represents 3 square feet what is the area of the patio in square feet
Answer:
563
Step-by-step explanation:
A rectangular prism and a square pyramid were joined to form a composite figure. A rectangular prism with a length of 9 inches, width of 9 inches, and height of 5 inches. A square pyramid with triangular sides with a base of 9 inches and height 4 inches. [Not drawn to Scale] What is the surface area of the figure? 261 in.2 333 in.2 405 in.2 477 in.2
Answer:
The answer is D 477 in.2
Step-by-step explanation:
The surface area of the composite figure is 333 sq. in.
The correct answer is an option (2) 333 in²
What is a pyramid?"It is a three-dimensional geometric shape with a polygon as its base and the lateral surfaces as triangles which meet at a common point."
What is rectangular prism?"It is a three-dimensional geometric structure which has six faces that are rectangles."
What is a composite figure?"A figure that consists of two or more geometric shapes."
Area of rectangle:A = length × width
Area of the triangle:A = 1/2 × base × height
For given example,
A rectangular prism and a square pyramid were joined to form a composite figure.
The composite figure would have nine faces with four triangular faces and five rectangular faces.
Surface area of the composite figure would be the sum of surface area of all nine faces.
The dimensions of the rectangular base the composite figure are length of 9 inches, width of 9 inches.
Using the formula for an area of the rectangle,
⇒ A1 = 9 × 9
⇒ A1 = 81 square inches
The surface area of the larger vertical rectangular faces is same.
So, A2 = 2 × (area of the larger vertical rectangular faces)
The dimensions of the larger vertical rectangular faces 9 inches × 5 inches.
⇒ A2 = 2 × (9 × 5)
⇒ A2 = 2 × 45
⇒ A2 = 90 square inches
Similarly, the surface area of the smaller vertical rectangular faces is same.
So, A3 = 2 × (area of the smaller vertical rectangular faces)
The dimensions of the smaller vertical rectangular faces 9 inches × 5 inches
⇒ A3 = 2 × (9 × 5)
⇒ A3 = 2 × 45
⇒ A3 = 90 square inches
The four triangular faces are identical.
Let A4 be the total surface area of four triangular faces.
⇒ A4 = 4 × (area of triangular face)
⇒ A4 = 4 × (1/2 × base × height)
⇒ A4 = 4 × (1/2 × 9 × 4)
⇒ A4 = 4 × 18
⇒ A4 = 72 square inches
So, the surface area of the composite figure is,
⇒ A = A1 + A2 + A3 + A4
⇒ A = 81 + 90 + 90 + 72
⇒ A = 333 sq. in.
Therefore, the surface area of the composite figure is 333 sq. in.
The correct answer is an option (2) 333 in²
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Did I do this right not asking for answer unless I got it wrong
yes its right
there no need to ask any way
Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=-3x^2 +75f(x)=−3x 2 +75f, left parenthesis, x, right parenthesis, equals, minus, 3, x, squared, plus, 75 \text{smaller }x =smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals \text{larger } x =larger x=start text, l, a, r, g, e, r, space, end text, x, equals
Answer:
Smaller x= -5Larger x=5Step-by-step explanation:
Given the function [tex]f(x)=-3x^2 +75[/tex]
The zeros of the function are the values of x for which f(x)=0.
[tex]f(x)=-3x^2 +75=0\\-3x^2 +75=0\\-3(x^2-25)=0\\$Divide both sides by -3\\x^2-25=0\\$Add 25 to both sides\\x^2-25+25=0+25\\x^2=25\\$Take the square root \\\sqrt{x^2}=\pm \sqrt{25}\\ x=\pm 5[/tex]
The zeros of f(x) are therefore 5 and -5.
Smaller x= -5Larger x=5PLEASE HELP ASAP WILL MARK BRAINLIEST!!
Answer:
The answer is [9, 5, -4, 12]
Step-by-step explanation:
1) distribute the 3 within all the numbers on the right side. 3*2, 3*0, 3*-1, 3*4.
2) your right side should now have the numbers, 6, 0, -3, 12.
3) now add the numbers on the left with the numbers on the right, each should correspond with their place within the box. 3+6, 5+0 -1+-3 0+12
Hope this helps :)
What is the value of b in the equation (y Superscript b Baseline) Superscript 4 Baseline = StartFraction 1 Over y Superscript 24 Baseline EndFraction? –20 –6 6 20
Answer:
b =-6
Step-by-step explanation:
[tex](y^{b})^4=\frac{1}{y^{24}} \\\\y^{4b}=y^{-24}\\4b = -24\\b=\frac{-24}{4}\\b =-6[/tex]
Answer:
B , -6
Step-by-step explanation: took the quiz
pi owns a cornfield and has placed fences around four polls, A, B, C, D that delimit the edges of the field. He needs to drive around the field every day to check whether anybody has tried to break in. The four poles are located at:
A (-2,1)
B (3,-11)
C (-2,-23)
D (-7,-11)
How many miles will pi drive if he starts at pole A and drives around the entire border of the field?
(please show the work)
Answer:
52 miles
Step-by-step explanation:
A to B:
sqrt( (3 - (-2))^2 + (-11 - 1)^2 )
sqrt( (5)^2 + (-12)^2 )
sqrt( 25 + 144 )
sqrt( 169 )
13
B to C:
sqrt( (-2 - 3)^2 + (-23 - (-11))^2 )
sqrt( (-5)^2 + (-12)^2 )
sqrt( 25 + 144 )
sqrt( 169 )
13
C to D:
sqrt( (-7 - (-2))^2 + (-11 - (-23))^2 )
sqrt( (-5)^2 + (12)^2 )
sqrt( 25 + 144 )
sqrt( 169 )
13
D to A:
sqrt( (-2 - (-7))^2 + (1 - (-11))^2 )
sqrt( (5)^2 + (12)^2 )
sqrt( 25 + 144 )
sqrt( 169 )
13
Adding:
13 + 13 + 13 + 13
52
Use the correct order of operations to solve the problem below.
14 - 8 + 6 - 10 ÷ 2
A.
17
B.
-5
C.
9
D.
7
Answer:
D
Step-by-step explanation:
parenthesis
exponents
multiply or divide from left to right
add or subtract from left to right
14 - 8 + 6 - 5
6 + 6 - 5
12 - 5
7
Answer:
D. 7
Step-by-step explanation:
PEMDAS
there arent parentheses, exponets or multiplication but the is division
so divide first
14-8+6-5
Next subtract
6+6-5
then subtract from left to right
12-5
7
A system of equations is given.
y= x^2 −9
y= −2x−1
What is one solution to the system of equations?
Answer:
(-4,7)
Explanation:
I graphed the two equations with a graphing tool.
The first equation forms a parabola.
The second equation is linear.
The graphed equations intercept at two points. Since the question asked for one, then one solution of the system is (-4,7).
Answer:
(- 4, 7 ) and (2, - 5 )
Step-by-step explanation:
Given the 2 equations
y = x² - 9 → (1)
y = - 2x - 1 → (2)
Substitute y = x² - 9 into (2)
x² - 9 = - 2x - 1 ( subtract - 2x - 1 from both sides )
x² + 2x - 8 = 0 ← in standard form
(x + 4)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
Substitute these values into (2) for corresponding values of y
x = - 4 → y = - 2(- 4) - 1 = 8 - 1 = 7 ⇒ (- 4, 7 )
x = 2 → y = - 2(2) - 1 = - 4 - 1 = - 5 ⇒ (2, - 5 )
helppp me its due today
Answer:
66.04
Step-by-step explanation:
0.13 * 508 = 66.04
Answer:
Step-by-step explanation:
508/x=13/100
508*100=50800
50800/3=?
now do that and simplify