Answer:
x-intercept = 10
y-intercept = -8
Step-by-step explanation:
[tex]4x-5y=40[/tex]
To identify the y-intercept, we will need to format the equation in the form [tex]y=mx+b[/tex]. We can start by subtracting [tex]4x[/tex] from both sides of the equation:
[tex]-5y=-4x+40[/tex]
Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-5[/tex]:
[tex]y=\frac{-4}{-5} x - 8[/tex]
The [tex]b[/tex] is representative of the y-intercept in [tex]y=mx+b[/tex].
Identify [tex]b[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex]:
[tex]b=-8[/tex]
Therefore, our y-intercept is -8.
To solve for the x-intercept, replace the [tex]y[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex] with a zero:
[tex]0=\frac{-4}{-5} x - 8[/tex]
Add [tex]8[/tex] to both sides of the equation:
[tex]8=\frac{-4}{-5} x[/tex]
You can go ahead and divide [tex]-4[/tex] by [tex]-5[/tex] to get rid of the fraction:
[tex]8=0.8x[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]0.8[/tex]:
[tex]10=x[/tex]
Therefore, our x-intercept is 10.
If f(x)=6x-2, what is the value of f(4)?
Please explain I don’t understand these questions.
Answer:
I think it might be 16 or 24.
Step-by-step explanation:
Pardon if I'm wrong.
4. -5x-15=-3x+23
29. -107-7x=73-13x
EXPLAIN STEPS AND SHOW WORK
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Answer:
x=-19 x=30
Step-by-step explanation:
-5x-15=-3x+23
-23 -23
-5x-38=-3x
+5x +5x
-38=2x
/2 /2
-19=x
-107-7x=73-13x
-73 -73
-180-7x=-13x
+7x +7x
-180=-6x
30=x
Please help and explain how you got the answer. Im giving out brainliest. || Q2
Answer:
B
Step-by-step explanation:
Convert 3/5 and each fraction so that that they have the same denominator by finding the (lowest) common multiple. If they have the same numerator, then the fractions are equivalent.
Whatever you multiply the denominator by, you need to multiply the numerator by.
A) The lowest multiple of 5 and 15 is 15.
5 * 3 = 15
3 * 3 = 9
3/5 = 9/15
B) The lowest multiple of 5 and 16 is 80.
5 * 16 = 80
3 * 16 = 48
3/5 = 48/80
16 * 5 = 80
12 * 5 = 60
C) The lowest multiple of 5 and 50 is 50.
5 * 10 = 50
3 * 10 = 30
3/5 = 30/50
D) The lowest multiple of 5 and 60 is 60.
5 * 12 = 60
3 * 12 = 36
3/5 = 36/60
Fewer young people are driving. In , of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in ?
The margin of error is 0.027 and the interval estimate at 95% confidence interval is 0.612 to 0.666
How to calculate the margin of error and the interval estimateFrom the question, we have the following parameters that can be used in our computation:
Proportion, p = 63.9%
Sample size, n = 1200
The margin of error can be calculated using:
E = z * √((p * (1 - p))/n)
Where
z = 1.96 i.e. z-score at 95% CI
Substitute the known values in the above equation, so, we have the following representation
E = 1.96 * √((0.639 * (1 - 0.639))/1200)
Evaluate
E = 0.027
The interval estimate is calculated as
I = p ± E
So, we have
I = 0.639 ± 0.027
Evaluate
I = 0.612 to 0.666
Hence, the interval estimate is 0.612 to 0.666
Read more about confidence interval at
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Question
Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver’s license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1200 people under 20 years old who were eligible to have a driver’s license in 1995 and again in 2016.
At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver’s license in 1995?
2. Which of the following is the correct value of (0.22) - (0.4)? Show your reasoning. c. 0.088 d. 0.0088 w
Answer:
C
Step-by-step explanation:
there would have to be one more zero between 0 and 8 for both of them
help plz very very confused
Answer:
x=-2
Step-by-step explanation:
Use the elimination method to solve the following system. 6x – 7y = –8 –x – 4y = –9
(–6, –3)
(0, 4)
(–3, 8)
(1, 2)
You run 6 miles in one hour and 24 miles in four hours.
a. 6 miles
per hour
c. 4 hours
b. 4 miles per hour
d. 6 miles
Answer:b
Step-by-step explanation:
5. What are the dimensions of this matrix?
Please help meeeeeeeeeee
Answer:
4 x 1
Step-by-step explanation:
The matrix shown in the illustration has 4 rows and 1 column, and thus we give the dimensions as 4 x 1.
if anybody could answer this; please do!
Answer:
2
Step-by-step explanation:
cause
Answer:1,036
Step-by-step explanation:I did this in my head lol tell me if it’s wrong tho
The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. a. Find the probability that a cat will live to be older than 14 years. b. Find the probability that a cat will live between 14 and 18 years. c. If a cat lives to be over 18 years, would that be unusual? Why or why not? d. How old would a cat have to be to be older than 90% of other cats?
Answer
a. 0.856
b. 0.78071
c. It is not unusual
d. 13.65 years old
Step-by-step explanation:
The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.
We solve this question using z score formula:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
a. Find the probability that a cat will live to be older than 14 years.
For x > 14 years
z = 14 - 15.7/1.6
z = -1.0625
Probability value from Z-Table:
P(x<14) = 0.144
P(x>14) = 1 - P(x<14) = 0.856
b. Find the probability that a cat will live between 14 and 18 years.
For x = 14 years
z = 14 - 15.7/1.6
z = -1.0625
Probability value from Z-Table:
P(x = 14) = 0.144
For x = 18 years
z = 18 - 15.7/1.6
z= 1.4375
Probability value from Z-Table:
P(x = 18) = 0.92471
The probability that a cat will live between 14 and 18 years is calculated as:
P(x = 18) - P(x = 14)
0.92471 - 0.144
= 0.78071
c. If a cat lives to be over 18 years, would that be unusual? Why or why not?
For x > 18 years
z = 18 - 15.7/1.6
z= 1.4375
Probability value from Z-Table:
P(x<18) = 0.92471
P(x>18) = 1 - P(x<18) = 0.075288
Converting this to percentage:
0.075288 × 100 = 7.5288%
Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.
d. How old would a cat have to be to be older than 90% of other cats?
From the question above, 10% of the cats would be older than 90% of other cats.
Hence, we find the z score of the 10th percentile
= -1.282
Hence,
-1.282 = x - 15.7/1.6
Cross Multiply
-1.282 × 1.6 = x - 15.7
- 2.0512 = x - 15.7
x = 15.7 -2.0512
x = 13.6488 years old
Approximately = 13.65 years old
Help I on my have 10 minutes!!!PLZZZZZX
Plz help with question
Answer:
I believe it's B
Step-by-step explanation:
Isosceles triangles have congruent base angles, so base angle A and B should both be the same number. (25)
Added up, 25+25+130 is 180 degrees.
geometry unit 4 congruent triangles
Answer:
okay?
Step-by-step explanation:
The four congruent triangles are by SAS, AAA, ASA and RHS.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
The four congruent triangles are,
They can be congruent by side angle and side.
They can be congruent by angle, angle and angle.
They can be congruent by angle side angle.
They can be congruent by one of the legs and the hypotenuse of a
right-angle triangle.
learn more about congruency here :
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HELP FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answer:
Step-by-step explanation:
U bot. Nub
Helpppp pleaseeeeeeee
Answer:
x= 6.85 or 89/13
Step-by-step explanation:
perimeter is sum of all sides added, so add them all and set them equal to 84
4(x-3) + 3x - 1 + 6x + 8 = 84
distribute
4x + 12 + 3x - 1 + 6x + 8 = 84
combine like terms
13x - 5 = 84
solve for x
x = 89/13 = 6.85
Using the binomial theorem, expand the expression (4 + y) to the power of 4
Answer:
When raised to the power of 4, the binomial (4 + y) expands to:
[tex]y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]
Step-by-step explanation:
[tex](4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]
PLZ HELP ME AND I WILL MARK BRAINLIEST!!!
Answer:
-315 + 100 & -230 + 15
Step-by-step explanation:
Natalie walked 3/5 mile in 1/2 hour.how fast did she walk,miles per hour.
Answer:
1.2 mph
Step-by-step explanation:
3/5 = .6 per half hour, you need to find the mph rate and since you're dealing with a half hour rate, you double it. .6 miles × 2 & 30 mins ×2= 1.2 miles per hour
what does the dot (.) stand for in math
Answer:
The dot is called a decimal. Its what separates the whole number and the fraction of the number.
Step-by-step explanation:
For example, 0.5 is saying half, or 50 out of 100.
1) What is the constant of proportionality that relates y to x
х
Y
8
6
20
15
28
21
a. 1.33
6,48
0.0.75
b. 14
f
Answer: The Answer Is A Because if u just add the numbers then divide them
Write the following in standard form: eight and twelve thousandths.
Answer:
8.012
Step-by-step explanation:
standard : 8.012
written: eight and twelve thousandths.
The sum of 7 ⅓ and a number, n is 10 ⅜. What is the number?
Answer:
3 1/24
Step-by-step explanation:
to find the answer subtract ( 10 3/8 - 7 1/3 = 3 1/24 ).
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[tex]7 \frac{1}{3} + n = 10 \frac{3}{8} \\ [/tex]
[tex] \frac{21 + 1}{3} + n = \frac{80 + 3}{8} \\ [/tex]
[tex] \frac{22}{3} + n = \frac{83}{8} \\ [/tex]
Subtract sides 22 / 3
[tex] - \frac{22}{3} + \frac{22}{3} + n = - \frac{22}{3} + \frac{83}{8} \\ [/tex]
[tex]n = \frac{83}{8} - \frac{22}{3} \\ [/tex]
[tex]n = \frac{83 \times 3}{8 \times 3} - \frac{22 \times 8}{3 \times 8} \\ [/tex]
[tex]n = \frac{249}{24} - \frac{176}{24} \\ [/tex]
[tex]n = \frac{249 - 176}{24} \\ [/tex]
[tex]n = \frac{73}{24} \\ [/tex]
[tex]n = \frac{72 + 1}{24} \\ [/tex]
[tex]n = 3 \frac{1}{24} \\ [/tex]
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4. Write as a fraction in simplest form: 38 minutes to 12 minutes
Answer:
3 ⅙
Step-by-step explanation:
38 and 12’s common factor would be 2. Now the fraction is 19/6.
How many 6’s can fit into 19? 3. With a remainder of 1 we have:
3 ⅙
************************
Answer: I think i my be wrong but i thing its B
Step-by-step explanation:
Factorise 3x to the power of 2 + xy
Answer:
x • (3x + y)
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x to the power of to +xy= x (3x+y)
time. weight
8. 0.04
9. 0.07
10. 0.14
11. 0.25
12. 0.49
what is the average rate of change in weight of the plankton from week 8 to week 12?
A) 0.0265
B)0.0375
C)0.055
D)0.1125
Answer:D
Because 0.49/12 -0.04/8 = 0.1125
Which of the following statements about photocopier A1 is correct compared to the other photocopiers?
Answer:
Option 2
Step-by-step explanation:
Number of breakdowns of the photocopiers in year 2011,
A1 = 15
A2 = 21
B1 = 34
B2 = 32
B3 = 23
Option (1)
A1 had just under a half the number of breakdowns compared to photocopier B3.
Half of B3 = 12
And A1 = 15
Therefore, A1 > B3
So the statement is False.
Option (2)
A1 had just under 50% of the breakdowns compared to photocopier B2
50% of the breakdowns of B2 = 16
A1 = 15
So, A1 < 50% of B2
Statement (2) is True.
Option (3)
A1 had more than 25 extra breakdowns compared to B1.
A1= 15
B1 = 34
A1 < B1
Therefore, statement is False.
Option (4)
A1 had 6% less breakdowns than photocopier A2.
A1 = 15
A2 = 21
A2 - A1 = 21 - 15 = 6
Percentage less breakdowns = [tex]\frac{6}{21}\times 100[/tex] = 28.6%
So this Option is False.
Therefore, Option (2) is the correct option.
Determine whether the functions f(x) = -7/5x +4/5 and g(x) = x – 4 intersect at x = 2.
A.No, because f (2) #g(2) when r =
B. No, because f (0) = 9(2) when I = 2.
C. Yes, because f(x) + 9(2) when r = 2.
D. Yes, because f(x) = 9(2) when I = 2.
Answer:
D. Yes, because f(x) = g(x) when x = 2.Step-by-step explanation:
Given the functions f(x) = -7/5x +4/5 and g(x) = x – 4, for the functions to intersect, f(x) must be equal to g(x) i.e f(x) = g(x) at x = 2
-7/5x +4/5= x- 4
If x = 2
f(2) = -7/5 (2)+ 4/5
f(2) = -14/5 + 4/5
f(2) = -10/5
f(2) = -2
g(x) = x - 4
g(2) = 2-4
g(2) = -2
Since f(2) = g(2), hence the lines intersects at x = 2
Answer: abidemiokin is ritgh
Step-by-step explanation:
What if it is asking you to divide and not multiply?
Answer:
Then you divide :)
<3 Enjoy,
Dea