Considering the situation described, the zeros of the function are given by:
C. 0, 2, and 4.
What are the zeros of a function f(x)?The zeros of a function are the values of x when f(x) = 0, and can also be described as the values of x for which the line intersects the x-axis.
In this problem, the line intersects the x-axis at x = 0, x = 2, and x = 4, hence option C is correct.
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what is the first quartile of the set of data 14,28,33,42,53,81,97
The first quartile of the data set is 28.
Determining the first quartileFrom the question, we are to determine the first quartile of the given data set
The first quartile or lower quartile, (Q1), is the value under which 25% of data points are found when they are arranged in increasing order.
The given data set is
14,28,33,42,53,81,97
In the given data set, the first quartile is 28.
Hence, the first quartile of the data set is 28
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I am between 30 and 50.
The sum of my digits is 10.
My ones digit is greater than
my tens digit. I am not 37.
Who am I?
A 15 foot ladder is placed on the top of a wall. The distance from the bottom of the wall to the bottom of the ladder is 7 feet. Calculate the height of the wall.
The height of the wall from the question is 13.27ft
Pythagoras theoremThe theorem states that the square of the longest side is equal to the sum of square of other two sides.
From the given question
Hypotenuse (ladder length) = 15ft
Adjacent = 7feet
Required
Height of the wall H
According to the theorem
15² = 7² + H²
H² = 225 - 49
H² = 176
H = 13.27feet
Hence the height of the wall from the question is 13.27ft
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2. On Friday, the Lee family had dinner at a
restaurant. They ordered 12 cheeseburgers and
4 chili bowls for $19.40. The following Friday,
the Lee family went back to the same restaurant.
They ordered 8 cheeseburgers and 6 chili bowls
for $16.60. How much does a cheeseburger
cost?
Answer:
cheeseburger costs $1.25
Step-by-step explanation:
let x be the cost of a cheeseburger and y the cost of chilli and set up 2 simultaneous equations, that is
12x + 4y = 19.4 → (1)
8x + 6y = 16.6 → (2)
multiplying (1) by 6 and (2) by - 4 and adding the result will eliminate y
72x + 24y = 116.4 → (3)
- 32x - 24y = - 66.4 → (4)
add (3) and (4) term by term to eliminate y
40x + 0 = 50
40x = 50 ( divide both sides by 40 )
x = 1.25
the cost of a cheeseburger is $1.25
Is this a function?
yes
no
Find the value for y. Geometry!! pls help!! thank youuuu
Answer:
2
Step-by-step explanation:
By the triangle proportionality theorem,
[tex] \frac{12}{2y - 1} = \frac{4y - 4}{1} \\ \\ 12 = (2y - 1)(4y - 4) \\ \\ 12 = 8 {y}^{2} - 12y + 4 \\ \\ 8 {y}^{2} - 12y - 8 =0 \\ \\2 {y}^{2} - 3 y - 2 = 0 \\ \\ (2y + 1)(y - 2) = 0[/tex]
From this, we know that y = -1/2 or 2.
However, as distance must be positive, we disregard the negative case, giving us y = 2.
Sam is installing a walkway around a rectangular flower patch in his garden. The flower patch is 12 feet long and 6 feet wide. The width of the walkway is x feet. Sam created function A to represent the total area taken up by the flower patch and walkway by multiplying the functions modeling the new total length and width. What does represent in this function
In the function, the thing that is represented is the area of the walkway along the length of the flower patch.
How to illustrate the function?From the information given, Sam created function A to represent the total area taken up by the flower patch and walkway by multiplying the functions modeling the new total length and width.
Therefore, the thing that is represented is the area of the walkway along the length of the flower patch.
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look at the pic below an help pls
Answer:
y=2/3(x-3)^2+1
Step-by-step explanation:
The parent function of a parabola is y=x^2:
The transformation of this graph shows the parabola is shifted to the right 3 and up 1 so we apply that to our equation y=(x-3)^2+1
to solve the stretch factor:
y=a(x-3)^2+1
we can see when x=0 y=7 so we use this set
7=a(0-3)^2+1
7=a(-3)^2+1
-1 -1
6=9a
divide by 9
a=2/3
What is the slope of the line represented by the equation 10x+5y=4?
2
1/2
−1/2
−2
The easiest way to find the slope of a line given in standard form is to put it into slope-intercept form.
Slope-intercept form: y = mx + b
---m is the slope, b is the y-intercept
10x + 5y = 4
5y = -10x + 4
y = -2x + 4/5
The slope of the line is -2.
Hope this helps!
x f(x)
-1
7
1
6
3
5
4
1
6 -1
The values in the table define the function f(x). Two points that lie on the graph of f^-1(x) are ___ and ___
Two points that lie on the graph of f^-1(x) are (7, -1) and (6,1)
How to determine the points?The table of values is given as:
x f(x)
-1 7
1 6
3 5
4 1
6 -1
Swap the points to determine the inverse function f^-1(x)
x f^-1(x)
7 -1
6 1
5 3
1 4
-1 6
The points from the above table are (7, -1) and (6,1)
Hence, two points that lie on the graph of f^-1(x) are (7, -1) and (6,1)
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40points! For what value of theta is csc undefined? Thank you!!
A. 0
B. 90
C. 270
D. 315
Because we can't divide by zero, csc(θ) is undefined when θ = 0°, so the correct option is A.
For what value of θ is csc(θ) undefined?First, remember that:
[tex]csc(\theta) = 1/sin(\theta)[/tex]
And also remember that we can't divide by zero.
Then the function csc(θ) is undefined for the values of θ such that sin(θ) = 0.
We know that sin(0°) = 0.
Then csc(0°) is undefined. This means that the correct option is the first one.
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I need answer quickly
Answer:
4.47
Step-by-step explanation:
4^2+b^2=6^2
16+b^2=36
-16. -16
√b^2=√20
b=4.47
30 men can complete a job in 12 days if each man works 8 hours a day. if the job is to be completed with 24 men working at the same rate, how many hours must they work in a day
Answer:
15
Step-by-step explanation:
→ Write the ratio of men to days to hours
30 : 12 : 8
→ Write the new proportion
24 : x : 8
→ Find the multiple between 30 and 24
1.25
→ Multiply by 12
12 × 1.25 = 15
I NEED HELP ASAP ILL GIVE BRAINLIEST!
What is the probability of getting a sum of 7 when rolling two number cubes?
Answer:
1/6
Step-by-step explanation:
Answer:1\6
Step-by-step explanation:
a factory uses 3/8 of a barrel of raisins in each batch of granola bars.yesterday the factory use 3/4 of a barell of rasins how many batches of granola bars did the factory make yesterday
Answer:
2
Step-by-step explanation:
3/4=6/8
(6/8)/(3/8)=2
HELP! Which of the following theorems allows for the ? to be found in the following diagram?
Answer:
The side splitter theorem.
Step-by-step explanation:
You have a pair of parallel lines intersecting a triangle.
We used these functions to represent the two sides of the equation:
f(x) = 3x
g(x) = 4x + 1
Graph the functions y = f(x) and y = g(x) on the same coordinate plane.
The solution to the system of equation graphed is (-1, -3)
Solution to system of equationGiven the system of equations graphed on the plane expressed as:
f(x) = 3x
g(x) = 4x + 1
Equate
f(x) = g(x)
3x = 4x + 1
3x - 4x = 1
-x = 1
x = -1
Determine the value of y
y = 3x
y = 3(-1)
y = -3
Hence the solution to the system of equation graphed is (-1, -3)
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2. A person takes a loan of Rs 100 000 at an interest rate of 4.2% compounded annually and deposits it in a bank that pays 8% interest compounded annually. What is the profit of his investment after 2 years?
The profit of his investment after 2 years is $8,063.60.
What is the profit of his investment?The profit earned is the difference between the amount he earned from the deposit at the bank and the interest paid on the loan.
Total value of the loan in 2 years : 100,000 x (1.042²) = 108,576.40
Total value of the amount deposited in 2 years : 100,000 x (1.08²) = 116,640
Difference = 116,640 - 108,576.40 = $8,063.60
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Evaluate the following expressions by substituting s = 20 and t = 6
s - 0.2t2
12.5
10.8
12.8
18.8
Answer:
The answer will be the 3rd option, 12.8
Step-by-step explanation:
I'm gonna assume that since you copy and pasted the question, the equation is actually s - 0.2t^2
Now we just need to substitute the values with their respective ones.
20 - 0.2(6)^2
Now we just have to solve :)
20 - 0.2(6)^2
= 12.8
So the answer will be the 3rd option, 12.8
Hope this helped! :D
Help on math please
Answer:
40cm²Step-by-step explanation:
ΔABC ≅ ΔDEF
The length AB = 28 and the length of DE = 7. Since these are corresponding sides, we know that DEF= 1/4 (ΔABC)
So, since ΔABC = 160, we know that ΔDEF will be 1/4 of that, meaning that ΔDEF is 40.
ΔDEF = 40cm²
Answer:
10 cm2
Step-by-step explanation:
The ratio per side is 28/7 = 4
When two similar figures have a ratio of 4:1, the difference between their areas is:
[tex](4)^{2} :(1)^{2}[/tex]
[tex]16:1[/tex]
That is, the dimension of the area of the largest figure is 16 times larger than the smallest figure.
So for this case:
the area of the larger figure is
ΔABC = 160 sq.cm
Then the area of the minor figure is:
ΔDEF= 160/16 = 10 sq.cm
Hope this helps
When dividing the polynomial using synthetic division, which of the following setup boxes would be used?
The setup boxes in the synthetic division are (b)
How to determine the setup boxes?The dividend is given as:
x^3 + 4x^2 + x - 6
The divisor is given as:
x - 2
Set the divisor to 0
x - 2 = 0
Solve for x
x = 2
Remove the variables in the dividend
1 + 4 + 1 - 6
Remove the arithmetic signs
1 4 1 - 6
So, the setup is:
2 | 1 4 1 - 6
Hence, the setup boxes are (b)
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If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
is the equation of the new function?
A. g(x) = 2.4*
OB. g(x) = 24x
OC. g(x)=1.2*
OD. g(x)=4-2*
If the function is vertically stretched by 4, the resulting function will be g(x) = 4(2)^x
Vertical stretch of a functionExponential function is written in standard form as y= ab^x
where
a is the base
x is the exponent
Given the following exponential function f(x) = 2^x. If the function is vertically stretched by 4, the resulting function will be g(x) = 4(2)^x
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help me please i dont understand this
Answer:
It is not a function
Step-by-step explanation:
A function refers to a set of points/lines with this characteristic:
Each Y value has only one corresponding X value.
Meaning one X value cannot have multiple Y Values.
In this case, the X value of 2 has 2 different Y values, making it not a function.
Neeedd helpppp !!!!!!!
Write a compound inequality that represents the given graph:
The compound inequality that represents the given graph is x < -2 or x ≥ 4. The correct option is B. x < -2 or x ≥ 4
Writing inequalitiesFrom the question, we are to write the compound inequality that represents the given graph
In the graph, we have
x < -2
or
x ≥ 4
Hence, the compound inequality that represents the given graph is x < -2 or x ≥ 4. The correct option is B. x < -2 or x ≥ 4
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Can someone help out on this please I’m having trouble
Answer:
Step-by-step explanation:
So please answer this please for 50 points so you can do what im doing.
Answer:
I think it's C
Step-by-step explanation:
Hope it helps
Please help ill give whoever answers the best the brainliest answer :)))
Answer:
Distance on the graph is representing the distance from Michelle's home. On her morning jog, Michelle ran to the end of her street, turned around and jogged at a slower pace back home.
write x 5/3 in radical form
There are two conditions under which we can assume that the sample means follow a normal distribution. What are they
Two conditions under which we can assume that the sample means follow a normal distribution are as follows:
1). If the sample size is large enough, n greater than or equals 30, the sampling distribution is approximately normal regardless of the shape of the population.
2). In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean.
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Help me solve this equation about completing tables and comparisons.
At the end of week 3, plant 1 is 0.6 inches taller than plant 2.
How much taller is plant 1 than plant 2 at the end of week 3?For plant 1, the height (in inches) equation as a function of the number of weeks is:
[tex]h_1(w) = 2.5 + \frac{4}{10}*w[/tex]
The height for w = 3 is:
[tex]h_1(3) = 2.5 + \frac{4}{10}*3 = 3.7[/tex]
So the height at the end of week 3 is 3.7 inches.
For plant 2 the equation is:
[tex]h_2(w) = 2.5 + \frac{1}{5}*w[/tex]
The height for w = 3.
[tex]h_2(3) = 2.5 + \frac{1}{5}*3 = 3.1[/tex]
So the height at the end of week 3 is 3.1 inches.
The difference is:
3.7 in - 3.1 in = 0.6 in
At the end of week 3, plant 1 is 0.6 inches taller than plant 2.
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