Answer:
B
Step-by-step explanation:
I DID IT ON EDG
Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
Answer: B) 1/9, 3, 27
Step-by-step explanation:
Here, we need to evaluate [tex]3^x[/tex] for [tex]x = -2, x = 1, \text{ and } x = 3.[/tex]
So, we substitute values of x in the given function.
At x= -2, we have
[tex]3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}][/tex]
At x= 1, we have
[tex]3^1=3[/tex]
At x= 3
[tex]3^3=3\times3\times3=27[/tex]
So, the values of [tex]3^x[/tex] for
Thus, the correct answer is B) 1/9, 3, 27
Answer:
Step-by-step explanation:
Answer: B) 1/9, 3, 27
A line passes through the point (0,6) and is parallel to the line with the equation y =
1/5X - 5. What's the equation of the line?
O A) y = 1/5x + 6
OB) y = -5x + 6
C) y = 1/5* - 6
OD) y=1/5X
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x - 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
Parallel lines have equal slopes, thus parallel line has slope of [tex]\frac{1}{5}[/tex]
The line crosses the y- axis at (0, 6) ⇒ c = 6
y = [tex]\frac{1}{5}[/tex] x + 6 ← equation of parallel line → A
the equation of the line that passes through the point (0,6) and is parallel to the line with the equation y = 1/5X - 5 is y = 1/5x +6.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given A line passes through the point (0,6) and is parallel to the line with the equation y = 1/5X - 5
Since the two lines are parallel to each other
thus, their slope would be equal
Slope intercept form of the Second line:
y = 1/5x + c
Given that line passes through (0, 6)
From above equation
6 = 1/5* 0 +c
Hence, c = 6
therefore, the equation of the line y = 1/5x +6.
Learn more about Linear equation here:
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The end points of AB are A(2,3) and B(8,1). The perpendicular bisector of AB is CD and point C lies on AB. The length of CD is √10 units. The coordinates of point C are?
Answer and Step-by-step explanation:
Answer:
The coordinates of C are (5 , 2)
The slope of CD is 3
The coordinates of D are (6 , 5) and (4 , -1)
Step-by-step explanation:
* Now lets study the problem
- The ends points of line AB are A = 2 , 3) and B = (8 , 1)
- CD is the perpendicular bisector of AB, and C lies on AB
- That means:
# C is the mid-point of AB
# The slope of AB × the slope of CD = -1 (one of them is a multiplicative
inverse and additive inverse of the other)
-Ex: the slope of one is a/b, then the slope of the other is -b/a
* The mid-point between two points (x1 , y1) and (x2 , y2) is:
[(x1 + x2)/2 , (y1 + y2)/2]
∵ C is the mid-point of AB
∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)
* The coordinates of C are (5 , 2)
- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:
the slope = (y2 - y1)/(x2 - x1)
∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3
∵ CD ⊥ AB
∴ The slope of CD × the slope of AB = -1
∴ The slope of CD = 3
* The slope of CD is 3
- The length of a line passing through points (x1 , y1) and (x2 , y2) is:
the length = √[(x2 - x1)² + (y2 - y1)²]
∵ The length of CD = √10
∵ Point D is (x , y)
∴ (x - 5)² + (y - 2)² = (√10)²
∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)
∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply
∴ (y - 2) = 3(x - 5) ⇒ (2)
- Substitute (2) in (1)
∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify
* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²
∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms
∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides
∴ (x - 5)² = 1 ⇒ take √ for both sides
∴ x - 5 = ± 1
∴ x - 5 = 1 ⇒ add 5 to both sides
∴ x = 6
* OR
∴ x - 5 = -1 ⇒ add 5 to both sides
∴ x = 4
- Substitute the values of x in (2)
∴ y - 2 = 3(6 - 5)
∴ y - 2 = 3 ⇒ add 2
∴ y = 5
* OR
∴ y - 2 = 3(4 - 5)
∴ y - 2 = -3 ⇒ add 2
∴ y = -1
* The coordinates of D are (6 , 5) and (4 , -1)
Dog Food Prices
Bag Size (lb) Price ($)
30
49.00
22
32.36
8
10.23
What is the cost per pound of the 22 pound bag? Answers are rounded to the nearest hundredth.
1.47
1.67
1.77
1.87
Answer:
1.80
Step-by-step explanation:
Answer:
$1.47 per pound
Step-by-step explanation:
The 22 pound bag of dog food costs $32.36. We want to find the cost per pound, or the unit rate for the 22 pound bag.
Therefore, we must divide the cost by the number of pounds.
cost/pounds
cost= $32.36
pounds= 22 lbs
$32.36/22 lbs
Divide 32.36 by 22
$1.4709090....
Round to the nearest cent, or hundredth. The 0 in the thousandths place indicates we should leave the 7 in the hundredth place.
$1.47
The 22 pound bag of dog good costs $1.47 per pound.
4. Compare the function f(x) = –x^2 – 4x + 3 with the function g(x), graphed here. Which function has a greater absolute maximum?
Answer:
f(x) has the greater absolute maximum
Step-by-step explanation:
[tex]f(x)=-x^2-4x+3 \\\\f'(x)=-2x-4=-2(x+2)[/tex]
so f'(x)=0 for x = -2 and f(-2)=-4+8+3=11-4=7
so f(x) has the greater absolute maximum
hope this helps
01:58:01
The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
Save and Exit
Next
Submit
Answer:
Number of sides = 18
Step-by-step explanation:
Using the formula given below for this
=> [tex](n-2)*180 = measure of interior angles[/tex]
=> (n-2)*180 = 2880
Dividing both sides by 180
=> n-2 = 16
Now, Adding 2 to both sides, we get
=> n = 18
Answer:
20
Step-by-step explanation:
Find x
There’s 2 problems! Thank you!
Answer:
Step-by-step explanation:
1. x/10=12/15
x*15=10*12
x=10*12/15
x=2*5*3*4/5*3=8
x=8
2. x/9=8/6
x*6=9*8
x=9*8/6
x=3*3*8/3*2=24/2
x=12
What is the scale factor in the dilation
2/5
1/2
2
2
1/2
Answer:
I think D, or 2 1/5
Step-by-step explanation:
Which expression entered into a graphing calculator will return the probability
that a data value in a normal distribution is between a z-score of -0.18 and a
Z-score of 1.99?
A. normalcdf(0.18, 1.99)
B. normalcdf(-1.99,0.18)
C. normalcdf(1.99, 0.18)
O
D. normalcdf(-0.18, 1.99)
The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)
How to determine the expression?To calculate the probability between two z-scores is to calculate the area between the z-scores.
This is done using the following syntax:
normalcdf(lower bound, upper bound)
From the question, the lower and the upper z-scores are -0.18 and 1.99
So, the formula would be normalcdf(-0.18, 1.99)
Hence, the expression is (d)
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Which of the following are examples of statistical questions?
1.How many sodas do Jack and his friends drink in a week?
2.How many pairs of shoes do you own?
3.How many cats does Jack have?
4.What types of music does the 6th grade like?
Which of the binomials below is a factor of this trinomial?
5x2 - 5x-100
O A. x + 10
B. X-5
C. X+ 5
D. X-4
Answer:
B
Step-by-step explanation:
Explain the main parts and uses of two kinds of proofs. March the word with the right definition.
A. Definition
B. Postulate(axiom)
C. Common notion
D. Theorem
E. Corollary
1. A statement that is assumed to be true without proof
2. A statement that has already been proven to be true
3. A statement that tells exactly what something is or means
4. A statement that makes sense based on another statement that has already been proven
5. A statement that is not officially defined but that is understood to be common sense.
Help pls :3
Answer:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.
Step-by-step explanation:
A. Definition refers to a statement that exactly defines the object, thing or everything.
B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.
C. Common notion is the statement that helps to understand the common sense about the subject.
D. Theorem is a statement that shows proof on the basis of previously making statements.
E. Corollary is a statement that act as a small proof that has already been proven.
Hence, the correct matches are:
A. - 3.
B. - 1.
C. - 5.
D. - 4.
E. - 2.
Find the value of x in each case.
Answer:
x = 22°
Step-by-step explanation:
Given corner URV = x and because of symmetry of Z-corners, that corner by definition is the same as corner DVR.
So corner SVR = V = x
R = 44°
S = 5x + 4°
V = x
In any triangle the three corners add up to 180°
Combine all this info and you get:
44 + 5x + 4 + x = 180
Solve for x (means write as x =...)
5x + x = 180 - 4 - 44
6x = 132
x = 132/6
x = 22°
PLEASE ANSWER ASAP AND PROVIDE EXPLANATION! A copy machine is set up to enlarge an original in the ratio 2:3. What is this enlargement in percent?
Answer:
50%
Step-by-step explanation:
Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.
Lest's pretend the original size was 100 in. 100/2x3=150
So in this case we enlarged it by 50 in. which is 50% of 100.
So, the enlargement as a percentage is 50%
Answer:
50% more
3-2=1
1/2=0.5
0.5=50%
You can also double check by adding half of two and checking if it is 3
2 x 0.5 = 1
2 + 1 = 3
50% increase
Hope this helps
Step-by-step explanation:
Brainliest for whoever gets this right!
Please help ASAP!
Find the inequalities which describe the region that’s shaded
Answer:
The lines that make this up are y = 5, x = 4 and y = x so the answer is y ≤ 5, x ≥ 4 and y ≥ x.
Urgent please see image
Answer:
A
Step-by-step explanation:
Because the mouse goes through 8 segments, this becomes a series of 8
Michelle kicks a soccer ball up into the air from the ground. The graph represents the height of the ball, in feet, as a function of time, in seconds. What is the domain of the function represented by the graph? Use the on-screen keyboard to type your response in the boxes below. __≤x≤ __
Answer:
D 6 seconds
Step-by-step explanation:
Hope this helps!!! Please amrk as Brainlyest
1/3 expressed as a decimal fraction is? (Round to the nearest thousandths)
Answer:
1/3=0.33333333333...
Nearest thousandths would be:
0.333Answer
0.333
Step-by-step explanation:
you would divide 1 by 3
What number is understood to be the
coefficient (number in front of) of x2
a) 0 B) 1
Answer:
1
Step-by-step explanation:
I’m in need of major help with my Intermediate Algebra. Anyone please I need to pass my summer class.
Answer:
oki
Step-by-step explanation:
what do you need help with? :)
What is the slope of the line described by the equation below y= 3x-6 A. (0,-6) B. (0,-3) C. (0,6) D. (0,3)
Answer:
A.)
Step-by-step explanation:
If you plug in the x and y values into the equation, you will see that -6=-6
y=3x-6
-6=3(0)-6
-6=-6
Therefore, A.) is the correct answer
{y = 308x
y = 122x + 2,338
Solve the linear equation
Answer:
Step-by-step explanation:
So if y=308x then we have to use the substitution method.
y=308x
y=122x+2338
so y=308x=122x+2338
308x-122x=186x
186x=2338
do the division and thats your answer. which is what y equals
GET THE RIGHT ANswer n ill make u brainliest
[tex]answer \\ \frac{2}{3} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 22, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
Relative Frequency
1-5
6 - 10
11 - 15
16 - 20
21 - 25
What is the relative frequency for the range 1 -57
a. 0.33
b. 0.4
c. 0.2
d. .27
factorise fully 6x+4
Answer:
2(3x+2)
Step-by-step explanation:
=> 6x+4
Taking 2 common
=> 2(3x+2)
Answer:
2(3x + 2)
Step-by-step explanation:
2(3x + 2) = 6x + 4
what is the amount of the discount
Answer:
The discount is $3.75.
Step-by-step explanation:
You can cross-multiply and divide: the original price can be multiplied by the percent off and then divide it by 100.
12.5×30=375
375÷100=3.75 which is the amount of the discount.
WILL MARK BRAINLIEST A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown surrounding a spherical object labeled, moon. The moon is a sphere with radius of 567 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 900 km to 169 km. x squared divided by 900 plus y squared divided by 169 = 1 x squared divided by 1467 squared plus y squared divided by 736 squared = 1 x squared divided by 736 squared plus y squared divided by 1467 = 1 x squared divided by 169 plus y squared divided by 900 = 1
Answer:
a=567 km+900 km
a=1,467 km
b=567 km+169 km
b=736 km
x^2/a^2+y^2/b^2=1
x^2/(1,467)^2+y^2/(736)^2=1
Step-by-step explanation:
Answer:
x^2 / 736^2 + y^2 / 1467^2 = 1
Which of the following angles can be trisected using only a compass and straightedge?
A. 45⁰
B. 125⁰
C. 65⁰
D. 175⁰
Answer:
i believe it is c
Step-by-step explanation:
work out xz and qr need asap
Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal
(a)
[tex]\frac{xPR}{XZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values
[tex]\frac{6.5}{XZ}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )
7.2XZ = 117 ( divide both sides by 7.2 )
XZ = 16.25 cm
---------------------------------------
(b)
[tex]\frac{QR}{YZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values
[tex]\frac{QR}{17}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )
18QR = 122.4 ( divide both sides by 18 )
QR = 6.8 cm
The odds in favor of Jake winning a contest is 4:16.
What is the probability of Jake winning a contest? (answer using decimal number form)