Which graph represents this equation
y=&=x+5)
Answers
Consider the equation,
y = x + 5
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.
In equation y = x + 5, the graph y = x is shifted 5 units towards the negative x-axis.
To graph the equation we determine various points on the line.
When x = 0,
y = x + 5
y = 5
When y = 0,
y = x + 5
0 = x + 5
x = - 5
When x = - 1,
y = x + 5
y = - 1 + 5
y = 4
When x = - 2,
y = x + 5
y = - 2 + 5
y = 3
When x = - 3,
y = x + 5
y = - 3 + 5
y = 2
Therefore, the points on the line y = x + 5 are ( 0, 5), (- 5, 0), ( - 3, 2), ( -1, 4) and ( - 2, 3).
Related Questions
If n = 18, x= 38, and s = 4, construct a confidence interval at a 98% confidence level. Assume the data came from a normally distributed population. Give your answers to three decimal places.
Answers
The 98% confidence interval for the mean in this problem is given as follows:
\(35.58 < \mu < 40.42\)
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
The variables of the equation are listed as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 18 - 1 = 17 df, is t = 2.5669.
The lower bound of the interval is given as follows:
\(38 - 2.5669\frac{4}{\sqrt{18}} = 35.58\)
The upper bound of the interval is given as follows:
\(38 + 2.5669\frac{4}{\sqrt{18}} = 40.42\)
Hence the interval is given as follows:
\(35.58 < \mu < 40.42\)
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What is the greatest place value in this number, 189?
Answers
Answer:
the 1 cause it's a 100
Step-by-step explanation:
100 + 80 + 9
The graph shows the relationship between the number of years after a car is purchased
and the car's value
Which statement correctly describes the relationship shown in the graph?
A)
The car's initial value is $18,000, and the car's value increases $2,000 each year.
B)
The car's initial value is $18,000, and the car's value increases $6,000 each year
C)
The car's initial value is $30,000, and the car's value decreases $2,000 each year.
D)
The car's initial value is $30,000, and the car's value decreases $6,000 each year
Answers
Answer:
C. The car's initial value is $30,000, and the car's value decreases $2,000 each year.
Step-by-step explanation:
first I looked at the graph and saw that the y-intercept(car's initial value) was 30,000 which allowed me to eliminate A and B. Then found the slope by using the \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)= slope formula. \(\frac{24,000-30,000}{3-0}=\frac{-6,000}{3}=-2,000\). This tells us that the slope is -2,000 which means that the value decreases by 2,000 each month. So the correct answer is C.
The car's initial value is $30,000, and the car's value decreases by $2,000 each year. the correct answer would be an option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
The given graph shows the relationship between the number of years after a car is purchased and the car's value.
As per the graph, we take two points (0, 30,000) and (6, 18,000)
Here slope of the given graph is equal to the car's value decreases by each year.
So slope = (18,000 - 30,000)/(6-0) = -12,000/6 = -2000
This means the car's value decreases by $2,000 each year.
Thus, the car's initial value is $30,000, and the car's value decreases by $2,000 each year.
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answers
The three (3) statements which are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² ....equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
From the information provided above, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
Comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x – 0)² + (y - 0)² = 3²
x² + y² = 9.
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help me idk what it is
Answers
the answer is the bottom one on the first row
4, 7, 8, 10, 11, 13, 15, 15, 22, 28 is the data set in order.
By finding the median, it would be 12, since 11+13=24/2=12
The first quartile would be 8, because between 4-11, 8 is in the middle
Then the third quartile would be 15, repeating the same process except with 13-28
So basically the answer is the top right choice. With a median of 12, first quartile 8, third quartile 15
2. Billy's Bikes charges an initial fee of $5 per day to rent a beach cruiser, plus
$2.00 per hour. Which graph models this situation? *
Graph it
Answers
Find the area of this triangle
Answers
Answer:
50.32
Step-by-step explanation:
Chris surveyed the sixth grade at his school and found that 20% of the students walk to school. If 60 students walk to school, then how many students are in the 6th grade?
Answers
\( \huge \mathfrak{ Answer : - }\)
60 students walk to school, which is 20 % of the total students studying there,
so, let the the total number of students be " x "
now, we know
=》
\(20 \% \: \: of \: \: x = 60\)
=》
\( \dfrac{20}{100} \times x = 60\)
=》
\( \dfrac{1}{5} \times x = 60\)
=》
\(x = 60 \times 5\)
=》
\(x = 300\)
hence, the total number of students :
x = 300
Answer:
simple answer 300
Step-by-step explanation:
20%=60 students. 100%/20%=5. 60*5=300 students
x⁵+x³-5 is divided by x-2
Answers
The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:
1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).
x - 2 | x⁵ + x³ + 0x² + 0x - 5
2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
4. Bring down the next term (-5) from the dividend.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
7. Repeat steps 4-6 until you have subtracted all terms.
x⁴ + 3x³ + 6x² + 12x + 24
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
- (6x³ - 12x²)
12x² + 0x + 0
- (12x² - 24x)
24x + 0
- (24x - 48)
48
8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
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find the measure of angle x
Answers
Answer:
103+37=X
X=140 is the answer
5-10x+4 need help please
Answers
The given expression is
5 - 10x + 4
We would simplify by collecting like terms. It becomes
5 + 4 - 10x
= 9 - 10x
please use order of operations ( pemdas )
(7-8) × 2²
Answers
Answer:
-4
Step-by-step explanation:
parenthesis : -1
exponent : 4
multiplication : -4
done!
i hope that made sense, but if you need help, im here!
William opened a savings account and deposited $700.00 as principal. The account earns 12% interest, compounded annually. What is the balance after 7 years?
Answers
The account balance after 7 years = $1,547.48
We know that the formula for the compound interest is:
\(A = P(1 + r/n)^{nt}\)
where,
A = amount (principal + interest)
P = Principal amount
R = interest rate as a percent
r = interest rate as a decimal
n = number of compounding periods
and t = time in years
Here, P = $700, t = 7 and R = 12%
First, convert R as a percent to r as a decimal
r = R/100
r = 12/100
r = 0.12 rate per year,
Using above formula, the amount after 7 years would be,
\(A = P(1 + r/n)^{nt}\)
\(A = 700.00(1 + \frac{0.12}{1} )^{1\times 7}\)
A = 700.00 × (1 + 0.12)⁷
A = $1,547.48
Therefore, the total amount accrued on a principal of $700.00 at a rate of 12% per year compounded 1 times per year over 7 years is $1,547.48.
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SOMEONE ANSWER AND EXPLAIN ILL MARK BRAINLIEST THANK YOU!!!!!!!!!!!
Answers
Answer:
9: 21 handshakes
a: 21, 34, 55
b: 0, 1, 1, 2, 3, 5, 8, 13
I need help please it’s worth13 points with explanation please
Answers
Answer:
1/7
Step-by-step explanation:
-(x + 3) = 8x - 4 - 2x
-x - 3 = 8x - 4 - 2x
combine like terms
-x - 3 = 6x - 4
add
-x = 6x -1
subtract
-7x = -1
divide
x = 1/7
Answer:
x = 1/7
Step-by-step explanation:
-(x + 3) = 8x - 4 - 2x
-x - 3 = 8x - 4 - 2x
-x - 3 = 6x - 4
-x = 6x -1
-7x = -1
x = 1/7
NEED ANWSER ASAP PLS
a horizontal translation only
a horizontal translation and a 180° rotation
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
Answers
The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.
Here, we have,
the conditions for mapping the strip transformation pattern onto itself:
The strip pattern can be mapped onto itself in two different ways.
The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.
The second way is to reflect the strip pattern across a vertical line.
Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.
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complete question:
Which transformations map the strip pattern onto itself?
a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°
a horizontal translation only
a horizontal translation, a reflection across a horizontal line, and a glide reflection only
a horizontal translation and a 180° rotation only
a. glancing through each variable in the products table, which stand out as numerical data, that is, data that would be interesting to add or average? (you may select more than one answer. single click the box with the question mark to produce a check mark for a correct answers and double click the box with the question mark to empty the box for a wrong answers. any boxes left with a question mark will be automatically graded as incorrect.)
Answers
The correct answer is Unit Price, Units in Stock, Units on Order, and Reorder Level.
The unit price is the cost of a single item or unit of a product or service. It is usually expressed as a monetary value, such as dollars per item. It can be calculated by dividing the total cost of a product or service by the number of units.
Units in stock refer to the number of items or units of a product or service that are currently available for purchase. It is used to track inventory levels and to manage the replenishment of products or services.
Units on order refer to the number of items or units of a product or service that have been ordered by a company but have not yet been received. It is used to track expected inventory levels and to manage the replenishment of products or services.
The reorder level, also known as the reorder point, is the point at which a company needs to replenish its inventory of a particular product or service. It is determined by calculating the lead time (the time it takes to receive new inventory after placing an order) and the average daily usage of the product or service.
Therefore, The correct answer is Unit Price, Units in Stock, Units on Order, and Reorder Level.
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Which composition of transformations will create a pair of similar, not congruent triangles?
a rotation, then a reflection
a translation, then a rotation
a reflection, then a translation
a rotation, then a dilation
Answers
Answer: D a rotation, then a dilation
Step-by-step explanation:
A triangle is said to be congruent when all angles are equal to each other and and has the same side.
it is similar when the two angles correspond with each other and has different sides.
so for a triangle to be different in side only a dilation has to be apply to it. Performing a rotation,reflection, and translation doesn't change the size of the shape it changes the position of the shape.
A rotation, then a dilation will create a pair of similar, not congruent triangles.
Congruent trianglesTwo triangles are said to be congruent if they have the same shape and their corresponding sides are congruent. Hence all the three sides and three angles are congruent.
Rotation, translation and reflection are rigid transformation and would produce a congruent shape while dilation produces a similar and not congruent shape.
A rotation, then a dilation will create a pair of similar, not congruent triangles.
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how to solve 10-[p+3] when p=7
Answers
Answer:
0
Step-by-step explanation:
plug in 7 for "P"
so 10 - [7+3]
solve the inside first, which is 10, therefore 10-[10] leaving you with no solution or 0 as answer
which value of a makes the following equation true
(x+a)^2=x^2+16x+64
Answers
Answer:
The value of a is 8.
Step-by-step explanation:
In the expression, x² + 16x + 64, 64 is a perfect square of 8 so if you factorize it, you will get :
x² + 16x + 64
= x² + 8x + 8x + 64
= x(x + 8) + 8(x + 8)
= (x + 8)²
(x + a)² = (x + 8)²
a = 8
Given the following diagram, find the missing measure.
?
m_2 = 50", m 3 = 100°,m _4 =
30
o 50
O 100
o 150
Answers
Answer:
m∡4 = 150°
Step-by-step explanation:
m∡1 = 30° because there are 180° in a Δ
m∡4 = 150° because angles 1 and 4 form a linear pair and must add up to 180°
Answer:
answer 180⁰
Step by Step explanation:
All angles in a triangle add up to 180.
1) add up the angles that are already given to you.
50⁰ +100⁰=150⁰.
2)Then take that away from 180⁰. which leaves you with 30⁰
What is the equation of the line that is parallel to the line defined by the equation y = 3x−7 and goes through the point (4, 2)?
Answers
Answer:
\(y-2=3(x-4)\)
Step-by-step explanation:
Pre-SolvingWe are given a line contains the point (4, 2).
We also know that the line is parallel to y= 3x - 7.
We want to write the equation of this line.
Parallel lines have the same slopes.
First, let's find the slope of y = 3x - 7.
3 is in the place of where m (the slope) is, so that means it is the slope of that line.
It is also the slope of the line whose equation we want to write.
The equation of the line can be written in three ways:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. a and b cannot be 0, and a is usually non-negative as well. Point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point.All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.
SolvingSubstitute 3 as m in \(y-y_1=m(x-x_1)\).
\(y-y_1=3(x-x_1)\)
Now, substitute 4 as \(x_1\) and 2 as \(y_1\).
\(y-2=3(x-4)\)
Topic: parallel and perpendicular lines
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Marya has $146 in her checking account . She writes a check for $193 . What is the new balance in her checking account ?
Answers
Answer:
-$47
Step-by-step explanation:
If she has $146 in he account and we take away $193, we are left with -$47, making her in debt.
y=1/6x+3 how do i find the y intercepy
Answers
Answer: Add the equation by subtracting 3 from both sides of the equation.
To find y-intercept, make intersection between line y=1/6x+3 and y=y(x) by adding 2 to each side.
y=1/6x+3 --------------2-3 x = -5 or -7 ---------------
y=-1/6x+2 or 1/6x+8 -------------
Graph Calculator Inputs: x=-5 to see how it affects Y value.
**ANSWER MADE BY AN AI**
What is the y-intercept of the graph?
Answers
Answer:
6
Step-by-step explanation:
The point where: (0,y)
You can find it on the graph
Solution: (0, 6)
Describe another way you could have solved the equation. Tell which of these two ways of solving the equation you prefer and why. (image included)
Answers
I prefer this method to the one used in the image because it is easier for solving the equation
How to describe another way of solving the equation?
An algebraic equation is when two expressions are set equal to each other, and at least one variable is included
Given: 2(4m×3.5 / 400) = 171.5
2(4m×3.5 / 400) = 171.5
The 2 can be used to divide the 400 to give:
4m×3.5 / 200 = 171.5
Multiply 4m by 3.5:
14m / 200 = 171.5
Cross multiply:
14m = 200 × 171.5
14m = 34300
Divide both sides by 14:
m = 34300/14
m = 2450
I prefer this method to the method used in the image because dividing integers with integers is easier and faster than dividing decimal numbers with integers
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would appreciate the help ty!!!
Answers
By using the concept of linear progression and some algebraic handling, we conclude that Joe will earn an amount of $ 31 700 in the 14th year.
How to determine the future income of a worker
According to the statement, we have a case of linear progression as income increases at same rate in time. Linear progressions are described by this formula:
c' = c + r · t (1)
Where:
c - Initial amountc' - Current amountr - Increase ratet - TimeFirst, we calculate the increase rate:
r = (29 600 - 22 600)/10
r = 700
Now we proceed to find when Joe will earn an annual income of $ 31 700:
31 700 = 22 600 + 700 · t
t = 13
By using the concept of linear progression and some algebraic handling, we conclude that Joe will earn an amount of $ 31 700 in the 14th year.
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In the figure shown below, find the values of the angles given in the first column.
Answers
Answer:
2) 77°
3) 85°
4) 103°
Step-by-step explanation:
2) 77
3) 85
4) 103
Solve 3(2z−4)=−6(2−z). help!!
Answers
Answer:
undefined
Step-by-step explanation:
PLEASE HELP ME ON MY QUESTION!
Answers
Step-by-step explanation:
please mark me as brainlest
