Answer:
A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.
Step-by-step explanation:
Hope this helps. :D
Given f(x)=(0.5)^x, give the rule for g(x) if it is f(x) shifted to the left 1 unit, down 3 units, and reflected over the x-axis
Answer:
g(x) = -(0.5)^(x + 1) + 3
Step-by-step explanation:
First, let's define the transformations used in this case:
Horizontal shift (horizontal translation):
If we have a function f(x), a horizontal translation can be written as:
g(x) = f(x - N)
if N is positive, the translation is to the right
if N is negative, the translation s to the left.
Vertical shift (vertical translation):
If we have a function f(x), a vertical translation can be written as:
g(x) = f(x) + N
if N is positive, the translation is upwards
if N is negative, the translation is downwards.
Reflection over the x-axis.
If we have a function f(x), a reflection over the x-axis is written as:
g(x) = -f(x).
Now we have the function:
f(x) = (0.5)^x
Let's apply the transformations:
"shifted to the left 1 unit"
g(x) = f(x - (-1) ) = f(x + 1)
"shifted down 3 unts"
g(x) = f(x + 1) - 3
"reflected over the x-axis"
g(x) = -( f(x + 1) - 3 ) = -f(x + 1) + 3
now we can replace the function equation here and get:
g(x) = -f(x + 1) + 3 = -(0.5)^(x + 1) + 3
A rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'. What is the geometric probability that a model rocket falling randomly on the pad will land in the target?
Answer:
9.6%
Step-by-step explanation:
The probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
To get the geometric probability, we must find the area of the rectangle.
Total outcomes = 20' × 25' = 500'
Total favourable outcomes = 6' × 8' = 48'
Probability = 48/500 = 0.096
= 0.096×100 = 9.6%
Thus, the probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
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find the product (x+3y^2) (3x-3y^2)
Answer:
3x^2 - 12x·y^2 - 9y^2·y^4
Step-by-step explanation:
Apply the distributive property of multiplication here.
x times (3x - 3y^2) is 3x^2 - 3x·y^2.
3y^2 times (3x - 3y^2) is 9x·y^2 - 9y^2·y^4.
Thus, the desired product of the given binomials is the sum of the above results:
3x^2 - 3x·y^2 - 9x·y^2 - 9y^2·y^4
which shortens to 3x^2 - 12x·y^2 - 9y^2·y^4
Please answer correctly! I will mark you Brainliest! The pictures go together! Please No answering without knowing answer or scamming!
Answer:
[tex]904.32[/tex]
Step-by-step explanation:
[tex]\frac{4}{3}\cdot \:3.14\cdot \:6^3[/tex]=[tex]904.32[/tex]
The volume of a sphere is [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Help me please!!! I’ll mark brainliest!!
Answer:
all the answers are c on that test my teacher did that same exact test
Step-by-step explanation:
mark brainliest!
convertir 26 grados celsius a grados a grados fahrenheit
Answer:
Para transformar 26 °C a grados Fahrenheit tienes que multiplicar 26 x 9/5 y después sumarle 32. 1 °C son 33,8 °F.
Step-by-step explanation:
26 degrees Celsius is equal to 78.8 degrees Fahrenheit.
To convert 26 degrees Celsius to degrees Fahrenheit, you can use the following formula:
°F = (°C × 9/5) + 32
Plug in the value of celsius.
°F = (26 × 9/5) + 32
°F = (234/5) + 32
°F = 46.8 + 32
°F = 78.8
Therefore, 26 degrees Celsius is equal to 78.8 degrees Fahrenheit.
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Convert 26 degrees Celsius to degrees Fahrenheit?
A bottel holds z ounces of water a second bottel holds 16 onces witch is 8/5 times as much warter how much does the frist bottel hold
Answer:
The first bottle holds 10 ounces of water.
Step-by-step explanation:
The bottle holds z ounces.
The second bottle holds 16 ounces, which is 8/5 times the first, which is z.
How much water does the first bottle holds?
[tex]\frac{8z}{5} = 16[/tex]
[tex]8z = 16*5[/tex]
[tex]8z = 80[/tex]
[tex]z = \frac{80}{8}[/tex]
[tex]z = 10[/tex]
The first bottle holds 10 ounces of water.
PLS HELP ILL GIVE THE BRAINLEST PLEASSSSSE
What is the measure of each side? NEED HELP ASAP
Answer:
Each side is 5 units long
Step-by-step explanation:
Since the opposite angles are equal then x + 2 = 3x - 4
So solve for x: so 4+2 = 3x - x
6 = 2x
3 = x
So one side is x + 2 = 3 + 2 = 5
The other side is 3x - 4 = 3(3) - 4 = 9-4 = 5
temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temperature drop
Answer:
10
Step-by-step explanation:
2--8
2+8
10
8 below zero is -8
Can someone help me with this PLZ
Answer:
6 and 8
Step-by-step explanation:
Answer:
6 and 8
Step-by-step explanation:
Q1: 6 and 8
Q2: 8 and 12
Q3: 12 and 15
Q4: 15 and 20
Brainlist Pls!
while shopping for clothes tracy spent $25 less than 3 times what curtis spent. Tracy spent $14. write and solve an equation to find how much curtis spent. Let x represent how much curtis spent.
3x-25=14
First, you'll add the 25 to the other side of the equation because its negative. 25+14 =39. then you'll divide these by 3. (because it says 3 times what curtis spent.)
39÷3=13. so the answer is 13. curtis spent 13 dollars shopping.
The value of almost everything you own assets such as a car computer oar house depreciates goes down overtime when an asset value decreases by a fixed amount each year the depreciation is called straight line depreciation suppose your truck has an initial value of $12,400 depreciates $820 per year write an equation illustrates this function if you plan to keep your truck for seven years and determine the value of the truck at the end of this. Period let v represent the dependent variable in T represent the independent variable
Answer:
A
Step-by-step explanation:
Trust
The correct equation is,
⇒ y = 12,400 - 820r
And, Amount for 7 years is, $6,660
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Here, your truck has an initial value of $12,400 depreciates $820 per year.
Let number of years = r
Hence, We get the correct equation is,.
⇒ y = 12,400 - 820r
So, For r = 7 years;
⇒ y = 12400 - 820 x 7
⇒ y = 12400 - 5740
⇒ y = $6,660
Thus, The correct equation is,
⇒ y = 12,400 - 820r
And, Amount for 7 years is, $6,660
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For what value of a is - 4a zero of the polynomial p(x) = x ^ 2 - x - (2a + 2) ^ 2
Answer: [tex]a=\dfrac{1\pm \sqrt{13}}{6}[/tex]
Step-by-step explanation:
Given
Quadratic Equation is [tex]x^2-x-(2a+2)[/tex]
[tex]-4a[/tex] is the solution of the given equation
[tex]\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}[/tex]
PLEASE HELP I WILL MARK BRAINLIEST
2. A physical fitness researcher devises a test of strength and finds that the results are normally distributed with a mean of 110 pounds and a standard deviation of 10.4 pounds. If a subject is randomly selected and measured, find the probability of a score between 110 and 128 pounds. (5
Answer:
Step-by-step explanation:
A physical fitness researcher devises a test of strength and finds that the results are normally distributed with a mean of 110 pounds and a standard deviation of 10.4 pounds. If a subject is randomly selected and measured, find the probability of a score between 110 and 128 pounds. (5
Given two similar figures, if AB = 17 when DE = 4, and
AC = 6, then DF = ?
Round your answer to the nearest hundredth if necessary.
Determine the standard deviation (sigma) by filling in the table as part of your calculation.
Consider the following data 13, 14, 11, 11, 13, 10
x
x Overbar
x minus x Overbar
(x minus x Overbar) squared
a.
0.82
c.
1
b.
1.41
d.
0.41
Please select the best answer from the choices provided
A
B
C
D
Answer:
b
Step-by-step explanation:
acellus sucks
Answer:
B
Step-by-step explanation:
William has a coin and a spinner, shown below. He can flip heads or tails on the coin and spin numbers 1 through 8 on the spinner. He flips the coin once and spins the spinner once. What is the probability that the coin will land on heads and the spinner will land on an odd number?
Answer:
1/4
Step-by-step explanation:
Coin sample Space = {H, T}
Spinner sample space = {1, 2, 3, 4, 5, 6, 7, 8}
Probability that coin lands on head :
P(H) = 1 /2
Probability that spinner lands on odd number :
Odd numbers = {1, 3, 5, 7} = 4
P(spinner lands on odd) = 4 / 8 = 1/2
Hence, probability that the coin will land on heads and the spinner will land on an odd number = (1 /2 * 1/2) = 1/4
Subtract the following polynomials in this equation.
Answer:
c
Step-by-step explanation:
it a c....................
Solve for x
3x+7=57 pleas hurry
Answer: x=50/3
Step-by-step explanation:
Answer:
16.6 ( the 6 is repeated) or 16 and 2/3
Step-by-step explanation:
Take the 7 away which equals 50 and then divide by 3..
Show all your work. Simplify the expression: 2x + 5 - 6x
Answer: =−4x+5
Step-by-step explanation: Hope this help :D
Answer:
-4x+5
Step-by-step explanation:
You have to add like terms together to simplify it.
-6x+2x=-4x
Which situation best represents the equation below x-15=60
Answer:
The correct answer is C. That problem best represent x - 15 =60.
Answer:
C
Step-by-step explanation:
So lets look at the first equation.
This would represent 60-15=x
This is because 60 shells minus 15 shells she gave away.
Next is B, whihc is also 60-15=x
This is because Mr yungs brother is 60 years old and mr yung is 15 years younger.
Next is c, whihc is 60+15=x
This is because they had 60, gave 15 already, and want to find out what they started with.
FInally we are left with d.
This is 15+x=60
Well...none of those look like x-15=60
But lets go back to c:
60+15=x
Lets try to rwwrite this.
Subtract 15 from both sides, and you get:
60=x-15
Just make this proper by putting the x-15 before the 60:
x-15=60
That looks like x-15=60
Now we know our answer!
C
Hope this helps ;)
Which number is a rational number?
9
13
V2
16
49
134
Plz help ASAP I will mark u branliest
Answer:
1. Three 1. Two
2. Four 2. Five
Step-by-step explanation:
10x5+4to the power of 2+(5+30 divided by 10
Answer:
10 * 5 + 4^2 + (5 + 30 ÷ 10)=74
Answer:
74
Step-by-step explanation:
Ashley started a savings account with Chase bank. She initially put in $200 in her account. If she was granted a .08% semi-annually, how much would she have in her account after a year?
i need help i need help asap
Answer:
2(x-3)^2
Step-by-step explanation: simplify second expression and combine
help
i will give brainly
Answer:
I think its store A.
Step-by-step explanation:
Correct me if I am wrong please
Help help help help help help help help help help help help help help help help help help
Answer:
Step-by-step explanation:
Part 1
P(z < -1.45)
Using the z score table
P =
Part 2
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) P(X >52)
x = 52
Mean = 60
Standard deviation = 8
z = 52 - 60/8
z = -1
P-value from Z-Table:
P(x<52) = 0.15866
P(x>52) = 1 - P(x<52) = 0.84134
b) P(48 < x < 64)