Answer:
Step-by-step explanation:
Just by looking at y = 3x + 2, we can see that the slope of the line representing this function is 3 and the y-intercept is 2 (or (0, 2) ).
Plot (0, 2). Starting from that point, move your pencil 1 unit to the right and 3 units up, plotting another dot there.
Draw a straight line thru your two dots.
A table and graph that represents the linear function y = 3x + 2 is shown in the image below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Since the given linear equation y = 3x + 2 is in slope-intercept form, we would start by plotting its y-intercept on a graph;
y = 3(0) + 2
y = 2.
Lastly, we would use an online graphing calculator to plot the given linear equation for the values in its domain as shown in graph D attached above.
In conclusion, the slope of this linear equation y = 3x + 2 is equal to 3 and it does not represent a proportional relationship.
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A company car traveled 3,325 miles on a business trip and used 95 gallons of gas. What was the average miles per gallon for the trip?
Answer:
The average would be 35 miles. If you divide 3,325 by 95 then every gallon is 35. Have a nice day
:)
Step-by-step explanation:
Answer:
35 miles per gallon.
Step-by-step explanation:
The simplest way to solve this problem is to just simplify the fraction given to you.
Which equation represents the line that passes through (-8,11) and (4,7/2)?
Answer:
y = -5/8x +6
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/ (x2-x1)
= (7/2 -11)/(4--8)
= (7/2 - 22/2)/(4+8)
= (-15/2)/(12)
= -15/24
Divide top and bottom by 3
-5/8
Then we can use point slope form to write the equation
y-y1 = m (x-x1)
y- 11 =-5/8(x--8)
y- 11 =-5/8(x+8)
Distribute
y-11 =-5/8 x -5
Add 11 to each side
y-11 = -5/8x -5+11
y = -5/8x +6
Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the center of town. Which graph represents this scenario?
If the center of town is the origin then 4 blocks west and 1 block south would be 4 blocks to the left and 1 block down or (-4, -1) house 3 block east and 2 blocks north would be 3 blocks to the right and 2 blocks up or (3, 2) use the distance formula to find the distance between two points. That's all I know! hope this helps!~ just remember to use the distance formula to find the distance between two points.
Answer:
-4,-1 for the house and 3,2 for the school
Step-by-step explanation:
Using the slope and y-intercept, graph the line represented by the following equation. Then select the correct graph. 2y + 4 = 0
30 POINTS
Answer:Hello there!
2y + 4 = 0
2y = -4
y = -2
My assumption is that you'd graph this as a horizontal line at (0,-2) but PLEASE double check with your teacher/instructor because I'm not sure if I'm right.
Hope this helped!
Step-by-step explanation:
Answer:
Step-by-step explanation:
You'll need to share the graphs mentioned in this problem statement.
One can solve 2y + 4 = 0 for y and thus obtain an equation which is easy to graph:
2y + 4 = 0 becomes
2y = -4, or
y = -2
The graph of this function is the horizontal line y = -2. Find (0, -2) on your set of coordinate axes and plot a dark dot there. Then draw a horizontal line thru it. This line has a slope of zero (0) and a y-intercept of -2.
The circumference is 90 find the area
Answer:
A≈644.58
Step-by-step explanation:
At a pizza shop you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, or vegetarian. How many different combinations are possible for someone who does not care for meat or white sauce?
Answer: there is 4 options.
Step-by-step explanation:
there is 2 crusts, 2 sauces, and 3 toppings. he doesn't want pepperoni or white sauce so now there is
2 crusts, 1 sauce, and 2 toppings.
2 times 1 times 2 = 4.
The number of different combinations that are possible for someone who does not care for meat or white sauce is 12 combinations.
What is multiplication?Multiplication is one of the most basic arithmetic operations, where multiplications tell us the number of ways a number is added to another.
The number of crust, sauce, and toppings that are present at the pizza shop is,
Type of crust; Thick or Thin = 2
Type of sauce; Red or White = 2
Type of toppings; pepperoni, cheese, or vegetarian = 3
Thus, the number of different combinations that are possible for someone who does not care for meat or white sauce can be written as,
Number of combinations = 2 × 2 × 3 = 12 combinations
Hence, the number of different combinations that are possible for someone who does not care for meat or white sauce is 12 combinations.
Learn more about Multiplication:
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How are ordered pairs of a function used to create the graph of the function?
Answer:
These ordered pairs can then be plotted into a graph. A pairing of any set of inputs with their corresponding outputs is called a relation. Every function is a relation, but not all relations are functions. In the example above with the carrots every input gives exactly one output which qualifies it as a function.
Step-by-step explanation:
find the measure of the arc or central angle indicated
Answer:
230 degrees
Step-by-step explanation:
Which is the correct graph for the function f(x)=3x^2-6x-2
Answer:
see attached picture
Step-by-step explanation:
I got this by using the free app desmos, you should check it out!
How do I simplify this equation?
Answer:
[tex]\large\boxed{\sqrt[3]{3^{15}}=243}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{3^{15}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt[3]{3^{5\cdot3}}=\sqrt[3]{(3^5)^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=3^5=243[/tex]
If the volume of a sphere is 288πcm3, what is the radius of the sphere in centimeters?
Giving brainliest and 30 points!
The formula for volume of a sphere is 4/3 x PI x r^3
Solve for r:
288PI = 4/3 x PI x r^3
Divide both sides by PI:
288 = 4/3 x r^3
Divide both sides by 4/3:
216 = r^3
Take the cubic root of 216 for r:
r = ∛216
r = 6
The radius is 6 cm.
What graph best represents the solution to the inequality
y−2x>−8
Answer:
A
Step-by-step explanation:
2x - 9y=14
[tex]2x - 9y = 14 [/tex]
Answer:
Step-by-step explanation:
first draw you line down on the equal sign take 2x and devide itso it should be 14/2 you should get 7 2x is no longer there then bring down 9y and add d to 14 thats 23 so its x =23
We need to solve for x.
2x - 9y = 14
Move the 9y to the right side and use inverse operations.
2x = 14 + 9y
Divide both sides of the equation by 2.
x = 7 + 9/2y or x = 7 + 4.5y
I will attach a picture of the graph as well in case that’s what you were looking for.
Find the hypotenuse, adjacent, and opposite sides of the right triangle.
Answer:
In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.
Step-by-step explanation:
The line that has nothing on it
Adjacent-It would be the height because it is adjacent( or next to) the angle
Opposite sides-The opposite side would be the one opposite from the angle- 145m
Hope this helps!!
a parallelogram has one side that is 9 millimeters and one side that is 13 millimeters. What is the perimeter of the parallelogram?
Answer: The answer would be 44 millimeters.
Step-by-step explanation: A parallelogram has to sets of congruent sides. One set has two sides that are 9 millimeters and the other set has two sides that are 13 millimeters. 9+9 = 18, 13+13= 26 and 18+26= 44!
Final answer:
To calculate the perimeter of the parallelogram with sides of 9 millimeters and 13 millimeters, you add the lengths of opposite sides and multiply by 2. The perimeter is 44 millimeters.
Explanation:
The perimeter of a parallelogram is calculated by adding the length of all four sides. Since a parallelogram has opposite sides that are equal in length, if one side is 9 millimeters and another side is 13 millimeters, the other two sides will also be 9 millimeters and 13 millimeters respectively. The formula to find the perimeter (P) is P = 2(a + b), where a and b are the lengths of the sides.
Using this formula:
Let a = 9 mm and b = 13 mm.
Then, P = 2(9 mm + 13 mm).
P = 2 × 22 mm.
P = 44 mm.
Therefore, the perimeter of the parallelogram is 44 millimeters.
What is the sum of n natural numbers: 1+2+...+n?
Answer:
S = 1/2 n (n+1)
Step-by-step explanation:
1 + 2 + 3 + ... + n
Now write in reverse order:
n + n-1 + n-2 + ... + 1
Add together:
n+1 + n+1 + n+1 + ... + n+1
n (n+1)
Since this is double the sum:
S = 1/2 n (n+1)
Answer:
1/2n(n+1)
Step-by-step explanation:
Given that the two figures are similar, what scale factor can be used to find the missing length x?
A. 1/4
B. 5/16
C. 6/16
D. 4
Answer:
A
Step-by-step explanation:
4/16 = 1/4
Answer: The correct option is
(D) 4.
Step-by-step explanation: Given that the two triangles in the figure are similar.
We are to find the scale factor that can be used to find the missing length x.
From the figure, we note that
two pairs of corresponding lengths of the sides of the given triangles are (4, 16) and (6, x).
And, the scale factor is given by
[tex]S=\dfrac{\textup{length of a side of dilated triangle}}{\textup{length of the corresponding side of the original trinagle}}\\\\\\\Rightarrow S=\dfrac{16}{4}\\\\\Rightarrow S=4.[/tex]
Also, we get
[tex]S=\dfrac{x}{6}\\\\\\\Rightarrow 4=\dfrac{x}{6}\\\\\Rightarrow x=24.[/tex]
Therefore, the missing length x is 24 units and the scale factor is 4.
Option (D) is CORRECT.
y= 89.5 + 0.409x Is a line of regression corresponding to a set of data which compares.
The number of commuters to number of paelinf spots at a given station.
The Metro-North Station of Greenwich, CT, has 2804 commuters. Find the predicted number of parking spots at the Metro-North Station.
A.) 1057 spots
B.) 2894 spots
C.) 6637 spots
D.) 1237 spots
Answer:
D.) 1237 spots
Step-by-step explanation:
We have been given the following regression line;
y= 89.5 + 0.409x
It is reasonable to argue that the number of commuters determines the number of parking spots and as such commuters is our explanatory variable (x). On the other hand, the number of parking spots is our response or dependent variable (y).
We are required to predict the number of parking spots at the Metro-North Station of Greenwich which has 2804 commuters. We are simply asked to determine the value of y when x is 2804 using the regression line;
y = 89.5 + 0.409(2804)
y = 1236.336
y = 1237
What is the answer to the q
Answer:
yes
Step-by-step explanation:
the explanation is that a rhombus is a parallelogram in which all sides are equal. Their diagonals bisect each other at right angles.
The derivative of the equation 4q² + 4q − 1 with respect to q is 8q + 4. The differentiation involves using the power rule and dropping out constants, which results in the derivative 8q + 4.
Explanation:To find the derivative of an equation 4q² + 4q − 1 with respect to q, we use basic differentiation rules. The power rule states that for any term aq^n, the derivative is naq^(n-1). Applying this rule here:
Differentiate 4q²: 2 * 4q = 8q.Differentiate 4q: 4.The constant -1 drops out as its derivative is 0.So, the derivative of the equation 4q² + 4q − 1 with respect to q is 8q + 4. To check your answer, you can use the same technique as previously learned: apply the differentiation rules systematically and verify if the results are consistent.
Mark Brainliest and show ur work
Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?
It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.
Answer:
It has two solutions
Step-by-step explanation:
The system [tex]\frac{3}{4z}=\frac{1}{4z-3} + 5[/tex]
If we try to simplify the fractions applying the Lesser Common Factor
We obtain this:
[tex]12z-9=4z+ 5(4z)(4z-3)[/tex]
From this equation, you can see a square term coming up, from where we can say that this system has two solutions
Help me with this page
Answer:
There is no page!
Step-by-step explanation:
Answer:what page?
Step-by-step explanation:
A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if: measure of arc AC = 70°.
Answer:
Part 1) The measure of angle C is 90°
Part 2) The measure of angle B is 35°
Part 3) The measure of angle A is 55°
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
step 1
Find the measure of angle C
The diameter divide the circle into two equal parts
so
If AB is a diameter
arc AB=180°
∠C=(1/2)[arc AB]
∠C=(1/2)[180°]=90°
step 2
Find the measure of angle B
arc AC=70°
∠B=(1/2)[arc AC]
∠B=(1/2)[70°]=35°
step 3
Find the measure of angle A
The sum of the internal angles of a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
substitute
∠A+35°+90°=180°
∠A=180°-(35°+90°)
∠A=55°
Alexander found the means-to-MAD ratio of two data sets to be 0.8.
What can he conclude about the distributions?
They are similar.
They are different.
They are identical.
They are somewhat similar.
Answer:
"They are similar"
Step-by-step explanation:
The means-to-MAD ratio tells how similar two distributions are to each other.
If the ratio is
< 1, this means they are similar
between 1 and 2.5, they are somewhat similar
> 2.5, this means they are different
We see the ratio given is 0.8, which is < 1, so the distributions are similar.
first answer choice is right.
Answer:
The answer is A.
Step-by-step explanation:
Which of the following is not true regarding sets of numbers ?
D. All rational numbers are integers
All rational numbers are integers
Step-by-step explanation:
if random samples (of size n) students are taken from a specific school district Michigan and asked about their school involvement what conclusions can we expect to draw from samples?
A we can use the sampling distribution to infer about the behavior of all students in the specific district
B we can use a sampling distribution to infer about the behavior of all students in the Michigan
C we can use the sampling distribution to infer about the behavior of all students in the neighboring school district
D we can use the sampling distribution to infer about the behavior of our students in the US
Answer:
A we can use the sampling distribution to infer about the behavior of all students in the specific district
Step-by-step explanation:
A sample is usually studied or analyzed in order to make inference about the population. It will be more time consuming and costly to study the entire population due to the large number of participants.
In our case, the samples are obtained from a specific school district Michigan. This implies that the researcher is interested in this particular school district and is thus our population of interest. Therefore, we can use the sampling distribution to infer about the behavior of all students in the specific district
We can use the sampling distribution to infer about the behavior of all students in the specific district
5 min left please help
Answer: it’s definetly C
Step-by-step explanation:
The answer is C.
Hope this helps!
Cheryl is now x years old. Her cousin is ⅓ Cheryl’s age. Find her cousin’s age in terms of x.
x/3= her cousins age
Which equation matches the function shown in the graph? A) y = x + 4 B) y = 4x + 2 C) y = 2x + 4 D) y = -2x + 4
The equation that matches the function shown in the graph is y = 2x + 4
Which equation matches the function shown in the graph?
From the question, we have the following parameters that can be used in our computation:
The graph
A linear equation is represented as
y = mx + c
Where
m = slope
c = y-intercept
From the graph, we have the point (0, 4)
This means that
c = 4
So, we have
y = mx + 4
Using the point (-2, 0) on the graph, we have
-2m + 4 = 0
This gives
2m = 4
m = 2
Recall that
y = mx + 4
So, we have
y = 2x + 4
Hence. the equation is y = 2x + 4
Calculate the average rate of change over the interval 2
Answer:
Average rate of change over the interval 2<= x <= 5:
y = 3x + 5: 3
y = 3x^2 + 1: 21
y = 3^x: 78
Step-by-step explanation:
2<= x <= 5
Average rate of change over the interval 2<= x <= 5:
y = 3x + 5
y(5) = 3(5) + 5 = 20
y(2) = 3(2) + 5 = 11
Average rate of change = (20 - 11)/(5-2) = 9/3 = 3
y = 3x^2 + 1
y(5) = 3(5^2) + 1 = 75 + 1 = 76
y(2) = 3(2^2) + 1= 13
Average rate of change = (76 - 13)/(5-2) = 63/3 = 21
y = 3^x
y(5) = 3^5 = 243
y(2) = 3^2 =9
Average rate of change = (243-9)/(5-2) = 234/3 = 78
1. Average rate of change for y = 3x + 5 over 2 <= x <= 5: 3
2. Average rate of change for y = 3x^2 + 1 over 2 <= x <= 5: 21
3. Average rate of change for y = 3^x over 2 <= x <= 5: 78
Matching:
A. Exponential function: ii. Common ratio
B. Quadratic function: iii. No common difference
C. Linear function: i. Common difference
Y-intercepts and Ranges:
1. For y = -2/5 * x + 1:
- Y-intercept: 1
- Range: All real numbers (-∞, ∞)
2. For y = -4x^2:
- Y-intercept: 0
- Range: [0, ∞)
First, let's calculate the average rate of change for the provided functions over the interval 2 <= x <= 5:
1. For y = 3x + 5:
- Average rate of change = (f(5) - f(2)) / (5 - 2) = (3(5) + 5 - (3(2) + 5)) / (5 - 2) = (15 + 5 - 6 - 5) / 3 = 9 / 3 = 3
2. For y = 3x^2 + 1:
- Average rate of change = (f(5) - f(2)) / (5 - 2) = (3(5)^2 + 1 - (3(2)^2 + 1)) / (5 - 2) = (3(25) + 1 - (3(4) + 1)) / 3 = (75 + 1 - 12 - 1) / 3 = 63 / 3 = 21
3. For y = 3^x:
- Average rate of change = (f(5) - f(2)) / (5 - 2) = (3^5 - 3^2) / (5 - 2) = (243 - 9) / 3 = 234 / 3 = 78
Now, match each type of function to the term that describes its rate of change:
A. Exponential function: ii. Common ratio
B. Quadratic function: iii. No common difference
C. Linear function: i. Common difference
For the next part, we'll find the y-intercepts and ranges for the given functions:
1. For y = -2/5 * x + 1:
- Y-intercept (where x = 0): y = -2/5 * 0 + 1 = 1
- Range: Since the coefficient of x is negative, the function is decreasing, and it extends from negative infinity to positive infinity. The range is all real numbers.
2. For y = -4x^2:
- Y-intercept (where x = 0): y = -4 * 0^2 = 0
- Range: Since the coefficient of x^2 is negative, the function is concave down and reaches its maximum value at the vertex. The range is [0, ∞) because it never goes below 0.
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Please solve this question
There is no question to answer here ?
Answer:
the answer is your mother