The graph of the linear equation 2x + 3y = 6 is a straight line that cuts the Y-axis at the point (0,2).
A linear equation is an equation in which the highest power of the variable is 1.
The general form of a linear equation is:ax + by = c where a, b and c are constants and x and y are variables. This equation represents a straight line when plotted on a graph.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
To find the points at which the line will intersect y-axis,
take x=0 and substitute in the linear equation 2x+3y=6
2(0) + 3y = 6
3y = 6
y = 2
So the point where the line cuts the Y-axis is (0,2)
The straight line of the linear equation 2x+3y=6 intersects the y-axis at (0,2).
To know more about linear equations visit:
https://brainly.com/question/27664510
#SPJ4
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
C
Step-by-step explanation:
We want to solve the equation:
[tex]x^2+2x+7=0[/tex]
Using the quadratic formula. The quadratic formula is given by:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = 2, and c = 7.
Substitute:
[tex]\displaystyle x=\frac{-(2)\pm\sqrt{(2)^2-4(1)(7)}}{2(1)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{-2\pm\sqrt{-24}}{2}[/tex]
Simplify the square root:
[tex]\sqrt{-24}=\sqrt{4\cdot 6\cdot -1}=\sqrt{4}\cdot\sqrt{6}\cdot\sqrt{-1}=2i\sqrt{6}[/tex]
Hence:
[tex]\displaystyle x=\frac{-2\pm2i\sqrt{6}}{2}[/tex]
Simplify:
[tex]\displaystyle x=-1\pm i\sqrt{6}[/tex]
Hence, our solutions are:
[tex]\displaystyle x=\left\{-1+i\sqrt{6}, -1-i\sqrt{6}\right\}[/tex]
Our answer is C.
How many minutes after Caylan puts the tray in the oven will he first remove the scones, muffins, and cookies at the same time
Answer:
60 minutes
Step-by-step explanation:
Here is the complete question
Caylan is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 15 minutes, the muffins bake for 12 minutes, and the cookies bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item. How many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time? ? minutes
The multiples for scones = 15 = 3,5
The multiples for muffins = 12 =2, 2,2,3
The multiples for cookies = 2, 5
Lowest common multiple = 2 x 2 x 3 x 5 = 60 minutes
to determine the time , calculate the lowest common multiple of 12, 15 and 10
Answer:
60 - This is due to the times of each and what time you would take them out.
Terry is making 5 hat and scarf sets. Each scarf requires 3 yards of material and each hat requires 18 inches of material. How many feet of material does he need for all 5 hat and scarf sets?
Steven bought a video game that was on sale for 30 percent off of the original price. If
the original price of the video game was $29, what was the sales price of the game?
ine segment SU is dilated to create S'U' using point Q as the center of dilation. The scale factor of the dilation is
The scale factor of the dilation is 2. An expansion happens when the scaling factor's absolute value exceeds one.
What does a scale factor mean when defining dilation?The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the center of dilatation. The scale factor and the center of dilation are used to determine the dilation transformation. The image stretches if the scaling factor is greater than 1.
As per the rule of scale factor
Q'U'/QU = SF
SF= Scale factor
= (5+5)/5= Scale factor
= 10/5= 2
To know more about scaling factor's visit:-
brainly.com/question/29464385
#SPJ4
Your colleague’s computer stops working, and no one from the IT department is available to fix it. You have basic knowledge of computer hardware. Which action should you take as an ethical employee?
A.
Initiate help by offering to check the computer.
B.
Start a conversation with your colleague and provide a distraction.
C.
Take a quick break and offer your computer for a short time.
D.
Ignore it because it is beyond your designated scope of work.
Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.
What is a computer hardware?A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.
In Computer technology, there are various examples of a computer hardware and these include the following:
Power supply unit (PSU).Hard-disk driveKeyboardMonitor (screen)MouseMotherboardCentral processing unit (CPU).Network interface card (NIC).Memory moduleBased on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.
Read more on computer hardware here: brainly.com/question/959479
#SPJ1
Write a rule to calculate 1% of any number
Please help ASAP ....
Answer:
21 3/4
Step-by-step explanation:
3 times 7 1/4 since the scale is 1:7 1/4. Good luck!! :)
Order the following number from greatet to leat. When entering fraction pleae ue "/". For example 1/2 or 3 2/3
-0. 44, -3/8, -0. 5, -2/5
The order from greatest to least is -3/8> -2/5>-0.44>-0.5
To compare all the numbers, we first convert the numbers to their fractional equivalent.
Therefore, -0.44= -44/100
And -0.5= -5/10
Now, we covert all the numbers to get the same denominator in all the numbers, therefore, let the denominator be 100
Therefore, we multiply -3/8 with 12.5 in both numerator and denominator to get, -37.5/100
Then, we multiply -2/5 with 20 in both numerator and denominator to get, -40/100
and, we multiply -5/10 with 10 in both numerator and denominator to get -50/100
Therefore, with these resultant value we can say that, -37.5/100> -40/100 >-44/100> -50/100
Thus, -3/8> -2/5>-0.44>-0.5
Read more about Fractions:
https://brainly.com/question/28124241
#SPJ4
What is the value calculator?
A value calculator is a tool used to help assess the worth of an asset or investment.
The value calculator is designed to help individuals and businesses determine whether an asset or investment is a good value. The calculator takes into account various types of data, such as the current market value, expected future value, and any associated risk factors.
This data is then used to calculate the present value, which is the amount of money an asset or investment is worth today. The calculator also takes into account inflation and other factors that could affect the current value of the asset or investment.
The value calculator can be used to help individuals and businesses make informed decisions about their financial investments.
For more questions like Value calculator click the link below:
https://brainly.com/question/29733060
#SPJ4
What is the line x =- 4?
The line x= -4 is a vertical line passing through x-axis.
It is a distance of 4 units from the x-axis and is parallel to the y-axis.
Vertical Line in a coordinate plane refers to a line that is perpendicular to the Y-axis. From top to bottom and from bottom to top, it is a straight line. The x-coordinate of every point along this line will be the same. The points of vertical lines include, for instance, (2,0), (3,0), (-4,0), etc. Similar to this, a horizontal line is a line that runs parallel to the x-axis from left to right.
There is no slope to the vertical lines. It follows the y-axis parallel, hence the slope is not known. As a result, the equation for the vertical line that at any point, let's say 'a', crosses the x-axis is:
x = a
where x is a point on the line's coordinate.
To learn more about Vertical lines:
https://brainly.com/question/1821791
#SPJ4
In ΔABC, M∠A = 56°and M∠B = 73°. what is M∠C?
Answer:
51
Step-by-step explanation:
triangles equal to 180, 56+73+51 equals 180 :)
brainliest pls
Answer:
m∠C = 51°
Step-by-step explanation:
By definition of interior angles of a triangle, the ∑ΔABC's interior angles = 180°.
It is given that m∠A = 56° & m∠B = 73°. Set the equation:
56 + 73 + m∠C = 180
First, combine like terms:
(56 + 73) + m∠C = 180
m∠C + 129 = 180
Next, isolate the term, m∠C. Note the equal sign, what you do to one side, you do to the other. Subtract 129 from both sides:
m∠C + 129 (-129) = 180 (-129)
m∠C = 180 - 129
m∠C = 51°
51° is your answer for m∠C.
~
Please help me with this question
Answer:
-29
Step-by-step explanation:
(−4−3)(2^2)−1
=−7(2^2)−1
=(−7)(4)−1
=−28−1
=−29
Answer:
NEGATIVE 29
Step-by-step explanation:
p
Exponents
Multiply
D
Add
Subtract
So the first exponent is
[tex]2^{2}[/tex] which is 4
So now we have multiply so
4 x ( - 4 + - 3 )
4 x - 4 = - 16
4 x - 3 = - 12
So our new equation is
- 12 - 16 - 1 = - 29 :)
So the answer is NEGATIVE 29
5. Name all the angles that correspond to angle 6 in the drawing
below.
Can someone help me with section b please and thank you
Jackson borrows $400 with an interest rate of 1.5%. How much interest will
he pay after 4 years?
Answer:
$80 in interest for four years. She has to pay back a total of $480
Step-by-step explanation:
ive tried everything and cant get the answer
Answer:
Slope of perpendicular line: 5
Slope of parallel line: -1/5
Step-by-step explanation:
Convert the equation to slope-intercept form (y=mx+b where m is the slope and b is the y-intercept)
x+5y=6
subtract x on both sides
5y=-x+6
divide by 5 on both sides
y=-(1/5)x+6/5
The slope of this equation is the coefficient of x, -1/5.
The slopes of two perpendicular lines are negative reciprocals of each other.
To get the negative reciprocal of a number, flip the numerator and denominator and multiply by -1.
-1/5 becomes 5, so that's the slope of a line perpendicular to our original line.
Parallel lines have the same slope, so that's just -1/5.
Slope of perpendicular line: 5
Slope of parallel line: -1/5
*LOOK AT PICTURE*
A) 8.45 in
B) 3.125 in
C) 6.25 in
D) 62.5 in
4r= -36
-72
-40
-9
9
Answer:
4r=-36
-36/4=r
-9=r
Therefore
r=-9
Answer: r=−9
Step-by-step explanation: Hope this help :D
Let's solve your equation step-by-step.
4r=−36
Step 1: Divide both sides by 4.
4r/4=−36/4r
=−9
A company makes 120 bags.
28 of the bags have buttons but no zips.
41 of the bags have zips but no buttons.
23 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answer:
7/15
Step-by-step explanation:
You have 120 bags. 64 of them in total do not contain buttons.
120 - 64 = 56
You have 56 bags with buttons. The simple answer is,
56/120
You can simplify this down to 7/15
If you're looking for percent, the answer is 46.67%
PLEASE HELP PIC UPLOAD
If /A and /B are supplementary angles and
m/B = 54, find m/LA.
Therefore , the solution of the given question of triangle comes out to be the only true option is A.
What is Triangle?Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.
Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.
To know more about triangle, visit
brainly.com/question/2773823
#SPJ1
How do you choose which variable to eliminate when doing elimination method?
Choose the variable whose numerical coefficients are smaller or have a smaller common multiple.
What is Elimination Method ?In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
Elimination Method for a System of EquationsPut the two equations in standard form.Alternate the coefficients of one variable.To remove one variable, add the equations produced by Step 2.Find the solution for the last variable.Fill in one of the original equations with the solution from Step 4.Elimination has less steps than substitution. Elimination reduces the possibilities of mistakes as compared to other methods. Elimination is quicker.To learn more about Elimination Method refer to :
brainly.com/question/3580300
#SPJ1
Find the value of x. The answer is 32 I just need help showing my work.
Answer:
Below.
Step-by-step explanation:
The line of length 48 = 1/2 of the baseline (3x) as the line 48 joins the midpoints of the 2 sloping sides.
1/2 * 3x = 48
multiply both sides by 2:
3x = 96
x = 32.
what is the area of the puzzle pieces above
Answer:
101.25 feet2
Step-by-step explanation:
Area =
b1 + b2 ×h
2
=
16 + 11 × 7.5
2
= 101.25 feet2
Tip if you need this again just go to Area Calculator
please help.....hhjkjvksksksjd
Answer:
the graph's slope-intercept is 3 or 3/1. you do this by finding the rise over run (how many squares does it go up, and how many does it go over).
The Y-intercept is -2. You can always find this by using the formula y= mx + b. Whatever number is in the place of "b" is the y-intercept.
I'm going to take a guess and say you're in Algebra 1. Either that or Pre-Algebra. This stuff took me a little while to full grasp, so don't worry! YOu'll understand it soon enough!
There are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them how many kids own their instruments how many kids rent their instruments and what percentage of kids rent their instruments?
Answer: 80% rent or 72 students
Step-by-step explanation:
20 percent of 90 is 18
So 18 kids own instruments
100-20=80%
So 80% of kids do rent instruments
Or
18x4= 72 kids rent
help i have to turn this in today !
Rosa is 402 meters from a tall skyscraper in Chicago. Your line of sight to the top of the skyscraper is a 20 ° elevation angle to the ground. How tall is the skyscraper to the nearest decimal?
Answer:
900 meters
Step-by-step explanation:
If the height of the building (unknown) is opposite of the angle of elevation (20°) and the distance from the building (402 meters) is adjacent to the angle of elevation, then we use the tangent function to find the height of the building:
tanθ=opposite/adjacent
tan(20°)=x/402
402tan(20°)=x
900=x
Therefore, the height of the skyscraper is 900 meters.
The density function of the continuous random variable x, the total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is given below: f(x) = { x, 0 < x < 1 8 − x, 1 ≤ x < 2 0, otherwise Find the average number of hours per year that families run their vacuum cleaners?
Answer:
1000 hours
Step-by-step explanation:
∫xf(x)dx = ∫x*xdx (1,0) + ∫x*(8-x)dx (2,1)
∫xf(x)dx = ∫x²dx (1,0) + ∫8x - x²dx (2,1)
∫xf(x)dx = ∫x²dx (1,0) + ∫8xdx (2,1) - ∫x²dx (2,1)
∫xf(x)dx = x³/3(1,0) + 8x²/2 (2,1) - x³/3(2,1)
∫xf(x)dx = 1/3 + 8(4/2 - 1/2) - (8/3 - 1/3)
∫xf(x)dx = 1/3 + 8(2-0.5) - (7/3)
∫xf(x)dx = 1/3 + 8(1.5) - 7/3
∫xf(x)dx = 1/3 + 12 - 7/3
∫xf(x)dx = - 6/3 + 12
∫xf(x)dx = - 2 + 12
∫xf(x)dx = 10
The average number of hours the family runs their vacuum cleaner in units of 100 hours
100 * 10 hours = 1000 hours
What is the sum of the measures of the exterior angles of the polygon shown below if necessary round to the nearest 10th
Answer:
24
Step-by-step explanation:
Number of sides = 15 (counted and it was a pain the a*s)
The total measure of the exterior angle = 360
= 360/15
= 24 degree
Each angle is measured 24 degree
The sum of the exterior angles of the polygon shown in the image is: 360°.
What is the Sum of Exterior Angles of a Polygon?Regardless of the number of sides or angles a polygon has, the sum of exterior angles of any polygon is always 360 degrees.
Thus, the polygon given has 15 sides, however, the sum of all its exterior angles will still give 360 degrees.
Therefore, the sum of the exterior angles of the polygon shown in the image is: 360°.
Learn more about sum of exterior angles of a polygon on:
https://brainly.com/question/2546141
10. Find the degree of the monomial. 7m^6n^5
11
6
7
5
Answer:
(a) 11
Step-by-step explanation:
You want the degree of the monomial 7m^6n^5.
DegreeThe degree of a monomial is the sum of the exponents of its variables.
m has an exponent of 6
n has an exponent of 5
The degree is 6+5 = 11.