Graph the line with slope -1 passing through the point (2,-4)
Answer:
put a dot on point (2,-4) then go one to the right and one down hope this helps
Step-by-step explanation:
The equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.
What is the equation of a line?
The equation of a line is the relation between the x-coordinates and y-coordinates of the points on the line, such that all (x, y) points, satisfies this equation.
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.
How to solve the question?In the question, we are asked to graph the line with slope -1, and passing through the point (2, -4).
We know that, the slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.
Substituting m = -1, x = 2, and y = -4, in the equation, we get:
-4 = -1(2) + b,
or, b = -4 + 2 = -2.
Thus, the equation of the line is: y = -1(x) - 2,
or, x + y = -2.
Thus, the equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.
The graph for the equation is attached.
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(4x+5)-(3x-3) write this in the simpilest form pls explain
Answer:
x+8
Step-by-step explanation:
4x-3x=x
5-(-3)=8 or 5+3=8
Reason its adding is because a - times a - equals a positive
Find the range of allowable values based on a measure of 130 inches if the values can vary by 1.4%.
Answer:
130 ± 1.82 inches i.e the range of the values is 128.18 inches to 131.82 inches.
Step-by-step explanation:
The range of values required here implies the values fall between the least and maximum values.
Since the values can vary by 1.4%, the range can be determined by:
1.4% of 130 = [tex]\frac{1.4}{100}[/tex] x 130
= 0.014 x 130
= 1.82
The addition or subtraction of 1.82 to/from 130 inches gives the required range.
i.e the range of allowable values = 130 ± 1.82 inches.
Thus,
130 - 1.82 = 128.18 inches
130 + 1.82 = 131.82 inches
The values falls between 128.18 inches to 131.82 inches.
-1-3=
A. -5
B. 2
C. -4
D. 4
Answer:
-4
Step-by-step explanation:
subtracting form a negative will result in a negative number
Answer:
c)-4
Step-by-step explanation:
-1 minis 3 is 3 less that -1
If an animal does not have four legs, then it is not a giraffe.
*IF FALSE IDENTIFY A COUNTEREXAMPLE
Looking at EBay, Bruce found a baseball signed by Nolan Ryan that the seller is selling for 0.25 Bitcoin. If 1 Bitcoin is equal to $6,800, how much does the baseball cost in U.S dollars
Answer:
$1700
Step-by-step explanation:
0.25 * 4 = 1
6,800/4 = $1700
Answer:
1700
Step-by-step explanation:
6,800/4
(divided by 4 because if you multiple 0.25 by 4 you get one)
6,800/4 = 1700
please show steps for both problems thanks!
find the percentage decrease if a players batting average dropped from 0.273 to 0.265 in one season.
Answer:
[tex]\huge\boxed{2.93\%}[/tex]
Step-by-step explanation:
Calculate the difference:
[tex]0.273-0.265=0.008[/tex]
Calculate the ratio:
[tex]\dfrac{0.008}{0.273}=\dfrac{0.008\cdot1000}{0.273\cdot1000}=\dfrac{8}{273}[/tex]
Convert to percentage:
[tex]\dfrac{8}{273}=\dfrac{8}{273}\cdot100\%=\dfrac{800}{273}\%\approx2.93\%[/tex]
When I say f(x) is continuous at x = C, what exactly does that mean?
fter production, a computer component is given a quality score of A, B, and C. On the average U of the components were given a quality score A, ( of the components were given a quality score B, and of the components were given a quality score C. Furthermore, it was found that actually of the components given a quality score A failed, of the components given a quality score B failed, and of the components given a quality score C failed. 11-A. What is the probability that a randomly selected component is NOT failed and received a quality score B
Answer:
Follows are the solution to this question:
Step-by-step explanation:
In the given question some of the data is missing so, its correct question is defined in the attached file please find it.
Let
A is quality score of A
B is quality score of B
C is quality score of C
[tex]\to P[A] =0.55\\\\\to P[B] =0.28\\\\\to P[C] =0.17\\[/tex]
Let F is a value of the content so, the value is:
[tex]\to P[\frac{F}{A}] =0.15\\\\\to P[\frac{F}{B}] =0.12\\\\\to P[\frac{F}{C}] =0.14\\[/tex]
Now, we calculate the tooling value:
[tex]\to p[\frac{C}{F}][/tex]
using the baues therom:
[tex]\to p[\frac{C}{F}] = \frac{p[C] \times p[\frac{F}{C} ]}{p[A] \times p[\frac{F}{A}] + p[B] \times p[\frac{F}{B}]+p[C] \times p[\frac{F}{C}] }[/tex]
[tex]= \frac{ 0.17 \times 0.14 }{0.55 \times 0.15 + 0.28 \times 0.12 + 0.17 \times 0.14 } \\\\= \frac{0.0238}{0.0825 + 0.0336 + 0.0238} \\\\= \frac{0.0238}{0.1399} \\\\=0.1701[/tex]
Express 4 as a fraction.
Is the set of integers closed under the operation
The answer "yes" applies to addition, subtraction, and multiplication. This is because we can take any two integers and add them to get some other integer
eg: 5+7 = 12
We can subtract two integers to get some integer
eg: 9-1 = 8
And we can multiply two integers to get an integer
eg: 4*6 = 24
--------------
The only one that isn't closed is division. We can divide some integers to get another integer
eg: 10/2 = 5
but there are cases where dividing two integers does not lead to another integer
eg: 8/5 = 1.6
The result 1.6 is not an integer since it has a decimal part
Also, the example your teacher provides has
1/6 = 0.167 approximately which is also not an integer
is 7/2 and 16/6 a proportion
Answer:
No, because 7/2 can be simplified to 21/6, and that is not proportional.
Step-by-step explanation:
To make a certain color of paint, the ratio of green paint to white paint is 5:2. How many gallons of green paint are required to mix with 14 gallons of white paint?
Answer:
70:28
Step-by-step explanation:
70:28 because you just multiply 14 by both numbers and get your answer.
whats the remainder to 5,323 ÷ 34
Answer:
the answer is
Step-by-step explanation:
156.558 or 157.0
or
0.0060
On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance?
-16.75 + (5.72 + 16.75)
Use the commutative property to get:
-16.75 + (16.75 + 5.72)
Use the associative property to get:
(-16.75 + 16.75) + 5.72
On Friday, Elsbeth deposited her pay check for $872.56. What was the account’s final total?
-$866.84
$878.28
$895.03
$903.10
Answer:
B
Step-by-step explanation:
[tex]5.72+872.56=878.28[/tex]
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A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used. A sample of 11 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 25.0. A level of significance of 0.05 will be used to determine if the doors are either too long or too short. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the doors are either too long or too short?
Answer:
No, we don't have sufficient evidence to support the claim that the doors are either too long or too short.
Step-by-step explanation:
We are given that a lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used.
A sample of 11 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 25.0.
Let [tex]\mu[/tex] = population mean length of doors.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 2058.0 millimeters {means that the mean length of doors is 2058.0 millimeters}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 2058.0 millimeters {means that the doors are either too long or too short}
The test statistics that will be used here is One-sample t-test statistics because we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean = 2043.0 millimeters
s = sample standard deviation = 25.0 millimeters
n = sample of doors = 11
So, the test statistics = [tex]\frac{2043.0-2058.0}{\frac{25.0}{\sqrt{11} } }[/tex]
= -1.989
The value of t-test statistics is -1.989.
Now, at a 5% level of significance, the t table gives a critical value between -2.228 and 2.228 at 10 degrees of freedom for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the mean length of doors is 2058.0 millimeters.
2x^3+4x^2+8x Factor the polynomial. solve with steps
Use the equation to answer the question.
p+ 4 = 15
What is the value of p?
A. 6
B. 9
C. 11
D.19
Answer:
C. 11
Step-by-step explanation:
15-4=11
Least to greatest
913.601
912.21
913.61
912.202
Answer:
Least to greatest
Step-by-step explanation:
912.202
912.21
913.601
913.61
Add zero's next time, (to 912.21 and 913.61 . It could help.)
Explain how an enlargement of reduction in the dimensions of a building would cause a change in the scale factor.
Answer:
The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.
Step-by-step explanation:
Answer:
The scale factor is a proportional relationship. The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship. Enlargements have a scale factor greater than 1. Reductions have a scale factor between 0 and 1. The proportion should be preserved.
Hope this Helps!
A train can travel at a rate of 85 miles per hour. At this rate, how many hours will it take the train to go 102 miles
Answer:
[tex]Time = 1.2\ hours[/tex]
Step-by-step explanation:
Given
[tex]Speed= 85\ miles/hour[/tex]
Required
Determine the time for 102 miles
In this case, we make use of Speed formula as follows:
[tex]Speed = \frac{Distance}{Time}[/tex]
This gives:
[tex]85 = \frac{102}{Time}[/tex]
Solve for Time
[tex]Time = \frac{102}{85}[/tex]
[tex]Time = 1.2\ hours[/tex]
Hence, the time needed is 1.2 hours
The double number line shows the amount of time a hen needs to lay 111 egg.
Complete the table to show the same information as the double number line.
Eggs Time (hours)
3
100
12
Step-by-step explanation:
3/75
4/100
12/300
The completed table is:
Eggs Time (hours)
3 75
100 2500
12 300
What is a double-number line?In a double number line diagram, equivalent ratios are represented by two parallel number lines.
Given that, the hen takes 25 hours to produce 1 egg.
1 egg = 25 hours
3 eggs = 25 × 3 hours
3 eggs = 75 hours
Similarly,
100 eggs = 2500 hours
and,
12 eggs = 300 hours
Hence, the completed table is:
Eggs Time (hours)
3 75
100 2500
12 300
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the quotient of a number and 2 is equal to 50
Factor: 1/2x + 12
Answers:
A. x + 12
B. 1/2(x + 24)
C. x + 24
D. 1/2(x + 6)
Find the volume of the solid . Round your answer to two decimal places .
3751.25 cm³
Step-by-step explanation:Hi there !
Volume (sphere) formula
V(s) = (4/3) × π × r³
we have two hemisheres
V(h) = (4/3) × π × r³ /2
= (2/3) × π × r³
V₁ = 2/3 ₓ π ₓ (12cm)³
= 2/3 ₓ π ₓ 1728cm³
= 1152π cm³
V₂ = 2/3 ₓ π ₓ (4cm)³
= 2/3 ₓ π ₓ 64cm³
= 128π/3 cm³
V = V₁ + V₂
= 1152π cm³ + 128π/3 cm³
= 3617.28 cm³ + 133.97 cm³
= 3751.25 cm³
Good luck !
3(n+1)= 5.4 enter the answer in the box n=?
what is slope 1 and 2?
Answer:
Lets calculate the slope of the line 'l'
Slope is rise over run of a line, so we will see how much the y of the line changes by changing x by 1
So, basically we will select a point on the line and see how much the y-value increases for the point rightward to our point
we see that the y increased by 1 and hence, its slope is 1
Now, the slope of line 'k'
again, we will select a point and go one point to the right
here, we see that the y increases by 2
therefore the slope of line 'k' is 2
What is the slope of line n?
Answer:
-2x,y5
Step-by-step explanation:
Hope this helped
23x0255y7283 is divisible by both 9 and 11. Compute all ordered pairs (a, b) for which this is possible
Answer:
[tex](x,y)=(4,4).[/tex]
Step-by-step explanation:
The given number 23x0255y7283 is divisible by both 9 and 11.
For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.
Here, the sum of all the digits,
2+3+x+0+2+5+5+y+7+2+8+3=37+x+y.
The possible value of x and y are:
[tex]0\leq x\leq 9[/tex] and [tex]0\leq y\leq 9[/tex]
[tex]\Rightarrow 0\leq (x+y)\leq 18[/tex].
So, the possible value of (x+y) so that 37+x+y is divisible of 9 are:
x+y=8,17 ...(i)
Now. for any number to be divisible by 11, the difference of the sum of all the digits at the odd position and the sum of all the digits at the even position of the number must be either 0 or divisible by 11.
So, (2+x+2+5+7+8)-(3+0+5+y+2+3)=11+x-y is either 0 or divisible by 11.
As [tex]0\leq x\leq 9[/tex] and [tex]0\leq y\leq 9[/tex]
[tex]\Rightarrow 0\leq x-y\leq 9[/tex]
So, the possible value of (x-y) is 0.i.e
x-y=0
[tex]\Rightarrow x=y\;\cdots(iii)[/tex]
Form equation (i),
For x+y=8,
2x=8
[tex]\Rightarrow x=4[/tex].
So, from equation (iii), y=4. So
(x,y)=(4,4)
And for x+y=17,
2x=17
[tex]\Rightarrow x=8.5[/tex], which is not possible ay the digits x, y, are integer.
Hence, only one ordered pair (x,y) possible, which is
[tex](x,y)=(4,4).[/tex]