Answer:
The linear function rule is [tex]\mathbf{y=x+13}[/tex]
Step-by-step explanation:
A line passes through the points (4,17) and (7,20). Write a linear function rule in terms of x and y
for this line.
The function rule is of form: y=mx+b
Where m is slope and b is y-intercept
Finding slope using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=4, y_1=17, x_2=7, y_2=20[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{20-17}{7-4}\\Slope=\frac{3}{3}\\Slope=1[/tex]
Finding y-intercept b
Using the point (4,17) to find y-intercept b
[tex]y=mx+b\\17=1(4)+b\\17=4+b\\b=17-4\\b=13[/tex]
So, the linear function rule is:
[tex]y=mx+b\\y=1x+13\\\mathbf{y=x+13}[/tex]
The linear function rule is [tex]\mathbf{y=x+13}[/tex]
A line passes through the points (4,17) and (7,20).
The linear function rule is y= 1x+13
Given :
A line passes through the points (4,17) and (7,20).
The linear function is y=mx+b where m is the slope
lets find out slope using formula
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\(4,17) and (7,20)\\m=\frac{20-17}{7-4}=1 \\[/tex]
Slope of the line using the given points is 1
Lets pick any one point (4,17) and use slope to find function rule y
y=mx+b
x is 4 and y is 17 and m=1
[tex]17=1(4)+b\\17=4+b\\17-4=b\\13=b[/tex]
Replace the value of 'b' and write the equation
[tex]y=mx+b\\y=1x+13[/tex]
The linear function rule is y= 1x+13
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#8 Mina buys a phone case on sale. If the phone case usually costs $34.99, and it was on sale for 18% off, how much did Mina pay? Round to the nearest cent. *
Answer:
28.6918 or 28.69
Step-by-step explanation:
Answer:
$28.69
Step-by-step explanation:
First, let's find how much 18% of $34.99 is. We can do this in one step by multiplying 34.99 by .18.
[tex]34.99*.18=6.30[/tex]
Now, just subtract the sale from the original cost.
[tex]34.99-6.30=28.69[/tex]
Mina paid $28.69.
I hope this helps!
Compute 95% confidence intervals for the proportion of defective items in a process when it is found that a sample of size 100 yields 8 defectives.
Answer:
0.02683<x<0.133173
Step-by-step explanation:
The confidence interval formula is expressed as;
CI = p ± z√p(1-p)/n
p is the proportion
z is the confidence interval at 95% confidence
n is the sample size
Since it is found that a sample of size 100 yields 8 defectives, the sample proportion p = 8/100 = 0.08
Given
n = 100
z score = 1.96
p = 0.08
1-p = 1-0.08 = 0.92
Required
95% confidence interval
Substitute the given parameters into the formula as shown;
CI = p ± z√p(1-p)/n
CI = 0.08 ± 1.96√0.08(0.92)/100
CI = 0.08 ± 1.96√0.0736/100
CI = 0.08 ± 1.96(0.027129)
CI = 0.08 ± 0.053173
CI = (0.08-0.053173, 0.08+0.053173)
CI = (0.02683, 0.133173)
Hence the 95% confidence intervals for the proportion of defective items is 0.02683<x<0.133173
Solve:
3/x-4 >0
X-4
x<4
x>-4
X>4
x<-4
DONE
Answer:
x > 4
Step-by-step explanation:
3/x-4 >0
x-4>0
x>0
Hope you got it
please mark as Brainliest.
Answer:
C. x > 4
And the second part is:
B. –2 < x < 4
Step-by-step explanation:
Just took it. Edg 2021. Hope this helps :)
$0.15, $0.30, $0.50, $0.75, $0.89
I need to know the percent of change for these numbers
Answer:
15% 30% 50% 75% 89%
Step-by-step explanation:
u change 0.15 to a function 15/100 then the one hungred below is persent
$24.75 - 12.45
i need help and it is to hard
the perimeter of a rectangle is 84 feet. If the length of the rectangle is 24 feet, what is its width?
Answer:
The width is 18 feet.
Step-by-step explanation:
You know that a rectangle has 4 sides.
L + L + W +W =84
24 +24 +2W =84
48 +2W =84
2W =84 - 48
W =18
What’s the missing angle.
Brainliest if your correct
We are given:
We know that the sum of all interior angles of a Pentagon is 540°
we are given 4 out of the 5 angles
Solving for x:
since the sum of all 5 angles is 540°:
75 + 130 + 135 + x + 90 = 540
x + 430 = 540
x = 540 - 430
x = 110°
simplify the expression. 2.7(w-5.2)
Answer:
2.7w - 14.04
Step-by-step explanation:
Distribute the 2.7
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of itsâ height, and inversely as the length of the beam. A beam feetâ long, with a width of inches and a height of inches can support a maximum load of pounds. If a similar board has a width of inches and a height of âinches, how long must it be to support âpounds?
The question is incomplete.Here is the complete question.
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?
Answer: It must be 392 inches or approximately 33 feet.
Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of proportionality, i.e., if divided, the result is a constant.
For the first load:
width = 6in
height = 4in
length = 13ft or 156in
weight = 800lbs
Then, constant will be:
[tex]\frac{6.4^{2}}{156} k = 800[/tex]
[tex]k=\frac{800.156}{96}[/tex]
k = 1300
For the similar beam:
[tex]\frac{8.7^{2}}{L}1300=1300[/tex]
L = 49.8
L = 392in or 32.8ft
A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.
Which inequality is true?
1\2 is less than 1/3
3/4 is greater than 2/3
-1/4 is less than -2/3
-1 is greater than 3/4.
I think you meant false because all of them are right except for 1/2 is less than 1/3
if each genre has a 25% chance of playing, about how many times should we expect each genre playing out of 20
The set up:
(0.25)(20) =
So, multiply.
Answer:
5 timesStep-by-step explanation:
Each one has a 25% chance, which is 0.25 times
Number of attempts is 20
Expected number is:
0.25*20 = 5 timesThere are 20 pieces of bread to divide among 20 people. A man eats 3 pieces, woman eats 2 pieces and a child eats half piece of bread. Tell the correct combination of men, women and children so that they are 20 people in total and everyone gets the bread. Note that a man cannot eat less than 3 or more than 3. A woman cannot eat less than 2 or more than 2 and the child cannot eat less than half or more than half piece of the bread. You have to tell there are how may are men, women and children in those 20 people.
Answer:
14 children, 5 women, 1 man
Step-by-step explanation:
14 children which gives us 7 loves. 1 man which gives us 3 loves. 5 women which gives us 10 loves.
People: 14 + 1 + 5 = 20
Loves: 7 + 3 + 10 = 20
The number of men, women, and children among the 20 people would be as follows:
A). There are 5 women, 1 man, and 14 children.
Given that,
No. of bread pieces = 20
No. of people to be divided among = 20
We also know that,
1 man consumes = 3 pieces
1 woman consumes = 2 pieces
1 child consumes = 1/2 piece
Using the trial and error method, we can see that;
20 = (1 man × 3 pieces) + (5 women × 2 pieces each) + (14 × 1/2 piece each)
⇒ 20 = 3 + 10 + 7
∵ 20 = 20
Thus, option A is the correct answer.
Learn more about "Algebra" here:
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Y= 1/2x + 2 Solve please!
(IF SOLVING FOR Y) y= x/2+2
(IF SOLVING FOR X) x=2y-4
40 divided by a number m
Answer:
40/m
Step-by-step explanation:
I dont really know what I'm answering but there's that
A volleyball team played 28 matches and won 21 of them. What percent of their matches did they win ?
Describe the error in determining whether the table represents a linear function.
Answers:
Describing the Error:
Choice B) The function is nonlinear and the increase in y is not constant.
Correcting the Error:
As x increases by a constant amount, y needs to increase or decrease by the same amount for the function to be linear.
=========================================================
Explanation:
Each time x goes up by 2, y is being multiplied by 4.
It may appear y is increasing at a constant rate, but this is not true. The jump from y = 4 to y = 16 is +12; while the jump from y = 16 to y = 64 is +48. The increase in y is not the same each time. This is just a rephrasing of what is discussed in the "correcting the error" section above.
So this is why the function is nonlinear. It turns out that this function is an exponential. Specifically, this is the function y = 2^x. For instance, if x = 8, then y = 2^x = 2^8 = 256. Graphing this function produces a curve that isn't a straight line, which is visual confirmation the function is nonlinear.
A motivationql speaker writes at a cinstant rate of 1/2 speech every 3/4 hour. At this rate, what frqction represents the number of speeches the speaker writes per hour?
Answer:
They can write 3\4 of a speech in 1 hour
Step-by-step explanation:
Half of a half is 2/3 Split that in half and get 3\4
Use f(x)=3x/x+1 and g(x)=-2/x+1 to find the following
Answer:
a) 3x-2/x+1
b)14/5 as an improper fraction or 2 and 4/5 as a mixed number
Step-by-step explanation:
a) You just have to add f(x) and g(x) together and since the denominator is the same you can just add the numerators which gives you 3x-2/x+1
b)You have to plug in 4 to every x value in both functions so you get 3(4)/4+1 for f(x) and -2/4+1 for g(x) this simplifies down to 12/5 and -2/5 you then have to subtract those two fractions as stated in part b which gives you 14/5 as an improper fraction or 2 and 4/5 as a mixed number
The answer to this question here 0.1x=0.2(x+2)
x=-4
Answer:
the answer is 76
Step-by-step explanation:
Which equation represents a line that passes through (5,4) with a slope of 2∕5?
)
y = 2∕5x + 5
B)
y = 2∕5x + 2
C)
y = 2∕5x + 4
D)
y = 2∕5x – 4
Answer: C
Step-by-step explanation:
Answer:
Step-by-step explanation:
m = [tex]\frac{2}{5}[/tex]
y - 4 = [tex]\frac{2}{5}[/tex] ( x - 5 )
y = [tex]\frac{2}{5}[/tex] x + 2
Find the area of this quadrilateral. Explain or show your strategy.
Answer:
24 units
Step-by-step explanation:
1) Separate this quadrilateral into 2 triangles
2) Multiply the height by the width of one of the triangle
- Multiply 8×3
= 24
please tell fast plzzzzzzzzzzz
Answer:
100
Step-by-step explanation:
73+26=99 and the nearest 10 to 99 is 100
100 because 73±36=99 and 100 is more
near to 99 then 140
i hope you this answer may help you to do your exercise
If Gage gets 40 bucks a month how much months would it take him to get 300 bucks.
Answer:
7 to 8 months / most probably 8 months
7.5 months to be exact
Step-by-step explanation:
Hi there!! Let's work!
So lets Break it down,
Given: $40 every month
Prove: How many months till he has in total $300
----------------------------------------------------------------------------------------------
We need to multiply the number of months to 40 to get 300~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So lets refer to a multiplication chart to make it easier:||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Here is an example of the equation we will use:400 x (months) = $300 / (or how much ever we get)
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As you can see:We have 2 final equations because we don't have a straight forward answer. (Refer to explanation below)
40 x 7 = 280
and
40 x 8 = 320
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So in problems like these we have to think like we would in real life, if you have an option you can write 7 to 8 months or you should write 8 instead of seven since they may be asking for a specific amount of months and after 8 months Gage will reach (surpass) his goal of $300 by $20.
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Lastly, If your the owner of this question please mark me Brainliest if you really learned from my answer I really do appreciate it.THANK YOU :)Nate has $30.50. He wants to buy his dog a sweater that costs $15, a toy that costs $3.79, and a leash that costs $14.79. How much more money does he need? Question: what do you need to find before yoi can solve the problem?
Answer:
jjjjjjjjjjjj
jjjjjjjjjjjjjj
What is 7 to the power of 3 in expanded form?
Answer/Step-by-step explanation:
7^3 or 7 cubed = 7 x 7 x 7
Expanded form turns a simplified problem back into an equation.
plz help ill mark you brainliest
just two promblems
Timed please help :))
It's the first one :))
Question 5
Joe's cat weighs k kilograms. Esperanza's cat weight 30% more than Jose's cat. Which of the following expressions
represents the weight, in kilograms, of Esperanza's cat? Selact ALL that apply.
a. x + 1.3x
b. 1.3x
C. X+0.3x
d. 0.3x
e. x(1 +0.3)
PLEASEEE HELP MMEEE
Answer:
b, c, e
Step-by-step explanation:
Esoeranza's cat weighs 1.3 x (130% of x). You can select all the expressions that equal to 1.3x.
Answer:
B, c,e
Step-by-step explanation:
Hope this helps!
z = 19i + 14 what is the imaginary part
Answer:
The imaginary part is: z = 19
Step-by-step explanation:
For real numbers a and b, a number written in form a+bi is called a acomplex number. The value a is called the real part and b is called the imaginary part of complex number.
Suppose you play a coin toss game in which you win $1 if a head appears and lose $1 if a tail appears. In the first 100 coin tosses, heads comes up 42 times and tails comes up 58 times.
Answer:
Percentage of heads = 42 %
Net loss = $16
Step-by-step explanation:
Given:
Total number of tosses = 100
Number of heads come = 42
Number of tails come = 58
Find:
Percentage of heads
Net loss
Computation:
Percentage of heads = Number of heads come / Total number of tosses
Percentage of heads = 42 / 100
Percentage of heads = 42 %
Net loss = 58(1) - 42(1)
Net loss = $16