One
Slope
The general slope intercept equation for a line is
y = mx + b
If you are told outright what the slope is then you can write m = slope in this case - 3
So you have so far is y = -3x + b. Now you use the point to get the y intercept.
(2,5) means that when x = 2, y = 5. that allows you to solve for b
Y intercept
When x = 2, y = 5. Substitute that into the general equation with the slope.
5 = -3x + b Put 2 in for x
5 = -3 * 2 + b Multiply -3 * 2
5 = - 6 + b Add 6 to both sides
5 + 6 = b
11 = b
Answer
y = -3x + 11
Two
This question is a little harder. You have to find the slope.
Slope Formula
[tex]\text{m = } \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Givens
Points (2, -1), (-6, - 5)
y2 = -1 ; y1 = -5; x2 = 2; x1 = -6
Solve
m = (-1 - - 5)/(2 - - 6) = (-1 + 5)(2 + 6) = 4/8 = 1/2
Now find the y intercept. Use either one of the given points
(2,-1) when x = 2, y = - 1
y = 1/2 x + b Show what you have so far. Put in x = 2 for x and y = - 1 for y
-1 = 1/2(2) + b Multiply 2*1/2
-1 = 1 + b Subtract 1 from both sides.
-1 -1 = b
- 2 = b
Answer
y = (1/2)x - 2 which is D
what is the median of :
100 100 99 98 98 90
i believe that the median would be 98.5, because you add the two middle numbers which in this case are 99 and 98 and divide by 2.
98 or 98 1/2! Hope this helps ya! <3
The triangular region shows the number of possible carnations, x, and the number of possible daisies, y, that can be used in a floral arrangement. The ordered pairs represent combinations of carnations and daisies that can be used in the floral arrangement.
Which ordered pairs make sense in the context of the situation?
Select each correct answer.
A) (6,8.5)
B) (7,5)
C) (13.5,6)
D) (12,5)
E) (14,7)
(7, 5) and (14, 7) are inside the shaded region. I would rule out those which are not whole numbers ( 1/2 a daisy would look silly!)
Answer (7, 5) and (14, 7)
we know that
If a ordered pair is a solution of the combination of carnations and daisies that can be used in the floral arrangement
then
the ordered pair must be in the triangular region graphed and make sense in the context of the situation
using a graphing tool
we're going to proceed to graph and analyze each of the cases
see the attached figure to better understand the problem
Step 1
point [tex]A(6,8.5)[/tex]
The point A is on the triangular region, but the number of daisies is not a whole number
therefore
The ordered pair A does not make sense in the context of the situation
Step 2
point [tex]B(7,5)[/tex]
The point B is on the triangular region, and the number of carnations and daisies are a whole number
therefore
The ordered pair B makes sense in the context of the situation
Step 3
point [tex]C(13,5.6)[/tex]
The point C is on the triangular region, but the number of daisies is not a whole number
therefore
The ordered pair C does not make sense in the context of the situation
Step 4
point [tex]D(12,5)[/tex]
The point D is not on the triangular region
therefore
The ordered pair D does not make sense in the context of the situation
Step 5
point [tex]E(14,7)[/tex]
The point E is on the triangular region, and the number of carnations and daisies are a whole number
therefore
The ordered pair E makes sense in the context of the situation
The answer is
[tex]B(7,5)[/tex]
[tex]E(14,7)[/tex]
What is the integer best represent a debt of $20
Which of the numbers below correctly describes 63.45 Mhz? Select one: a. 0.06345 Ghz b. 63,450 khz c. Both a and b d. None of the above
To solve this question, let us take one part at a time.
Part 1 (MHz to GHz)
We know that 1 MHz=0.01 GHz
Therefore, [tex]63.45 MHz=63.45\times 0.001 GHz=0.06345 GHz[/tex]
Thus, for the time being we know that Option A is correct.
Part 2 (MHz to KHz)
We know that 1 MHz=1000 KHz
Therefore, [tex]63.45 MHz=63.45\times 1000 KHz=63450 KHz[/tex]
Thus, Option B too is correct.
Therefore, Both A and B are correct. Thus, out of the given options, Option C is correct.
What is the decimal that is 10 times as great as 0.009
The set of all points in a plane that are equidistant from two points is an (n):
ANSWER
Perpendicular bisector
EXPLANATION
The perpendicular bisector of a line divides the line into two equal parts.
It forms a locus of points that are equidistant from the two given points.
Therefore the set of all points that are equidistant from two given points in a plane is the perpendicular bisector of the line joining the two points.
What are the two shortest measurements below?
300 millimeters
40 centimeters
0.002 kilometers
0.2 meters
In a parallel circuit, ET = 240 V, R = 5.6 kΩ, and XL = 3.6 kΩ. What is P?
Answer:
Real power,P is 10.286 Watts
Step-by-step explanation:
We are given that in a parallel circuit, [tex]E_{T}=240V[/tex],R=5.6kΩ and [tex]X_{L}[/tex]=3.6kΩ
We are asked to find P which means real power, that is power due to resistance.
Let us find current through resistor first.
That is [tex]I_{R}=\frac{E_{T}}{R}=\frac{240}{5.6}=\frac{300}{7}=42.86[/tex]milli Amps=0.04286 A
Hence [tex]P=E_{T}I_{R}[/tex]
=240X0.04286=10.286 Watts
What is the greatest common factor of the terms of the polynomial 6x4 + 24x3 − 72x2.
PLEASE HELP QUICK!! !!20 POINTS!!
1. Refer to the equation y = 1/3 x + 2
(a)Create a table of x, y values for 4 ordered pairs. Tip: choose an x, then find y four times. Use “easy numbers”, like x = 0, 3 (gets rid of fraction), or -3
The final table is in the attached picture.
Before beginning, you should note that:
To get rid of a fraction, this fraction should be multiplied that is equal to or is a multiple of its denominator.
This means that:
[tex]\frac{1}{y} * ay = a[/tex]
Now, for the given:
We have the equation: [tex]y = \frac{1}{3} x + 2[/tex]
The denominator of the fraction is 3, therefore to get rid of it we will need x to be a 3 or a multiple of 3.
Let's consider the x values to be -3, 0, 3 and 6.
For x = -3: [tex]y = \frac{1}{3} (-3) + 2[/tex] = -3 + 2 = -1 .....>First order pair is (-3,-1)
For x = 0: [tex]y = \frac{1}{3} (0) + 2[/tex] = 0 + 2 = 2 .....> Second order pair is (0,2)
For x = 3: [tex]y = \frac{1}{3} (3) + 2[/tex] = 1 + 2 = 3 .....> Third order pair is (3,3)
For x = 6: [tex]y = \frac{1}{3} (6) + 2[/tex] = 2 + 2 = 4 .....> Fourth order pair is (6,4)
Hope this helps :)
There were 262 hamburgers cooked for the school fair . What is 262 rounder to the nearest hundred
what is the answer for this? 72+10d>/= to 9:/
it is 8 or 10. multiply the 10d by 11 0r 12. 13 or 14
James is solving the equation x^2+10x=50 by completing the square. What number must be added to both sides of the equation to complete the square?
Let f (x) be a quadratic equation of the form:
[tex]x^2+bx+c\\[/tex]
Where b and c are real numbers.
So a generic procedure for completing squares is:
1) identify b
In this case b = 10
2) divide b between 2 and then square it
[tex](\frac{b}{2})^ 2\\[/tex]
[tex](\frac{10}{2})^ 2=25\\[/tex]
3) Add and subtract [tex]b ^ 2[/tex] in the equation
[tex]x ^2+10x + 25 - 25 = 50\\[/tex]
[tex]x ^ 2 + 10x +25 = 75\\[/tex]
4) Rewrite the equation as follows
[tex](x+\frac{b}{2})^2=c\\[/tex]
[tex](x + 5) ^ 2 = 75\\[/tex]
The number that you must add to both sides of the equation is number [tex]25 = (\frac{b}{2})^2[/tex]
The completed form of the equation is (x + 5)² = 75.
To solve the equation x² + 10x = 50 by completing the square, you need to add a specific number to both sides to create a perfect square trinomial on the left side. Here’s how you do it step-by-step:
Start with the equation: x² + 10x = 50.Take the coefficient of the x term (which is 10), divide it by 2, and then square the result: (10/2)² = 25.Add 25 to both sides of the equation: x²+ 10x + 25 = 50 + 25.Now the left-hand side of the equation can be factored as a perfect square trinomial: (x + 5)² = 75.Therefore, the number that must be added to both sides to complete the square is 25.
In a company, 37% of 1500 employees are females.work out the number of males in the company.
HEEEEEEEEEEEEEEEEEEEELP
For which value of x is the equation 3(3 + x) = 15 + x true?
A) 1
B) 2
C) 3
D) 4
Please help me!!! Giving first person all my points and brainliest!!!!!!
1. Yes they are congruent. You translate AB to move it over to CD. Specifically, shift 2 units to the right.
2. No, they are not congruent. QR is longer than MN. Congruent segments must be the same length.
3. No, they are not congruent. At first glance, they seem to be congruent after translation and reflection. However, XY is longer than UV, and those legs should be the same length for a pair of congruent triangles to be possible.
4. Yes they are congruent. You translate triangle ABC to move it over to triangle DEF (shift 1 to the left, 3 down).
Please help me!!! Will mark BRAINLIEST.
Answer:
It is rotated 180 degrees then reflected on the y-axis
Step-by-step explanation:
Jonas has 40 marbles. He gave 1/5 of the marbles to marvin and 3/8 of the marbles to leroy. How many marbles did each boy get?
help plz solve 2y-3=4y+6 y=
Steps:
2y-3=4y+6
2y-3+3=4y+6+3
2y=4y+9
2y-4y=4y+9-4y
-2y=9
-2y/-2=9/-2
y=-9/2
The correct answer is y=-9/2
I'd appreciate it if anyone helped! :)
Every week, Nina used 5 L of water from her rain barrel to water her plants. She did this until her rain barrel was empty. When Nina first started watering, her rain barrel contained 75 L of water.
Which sketch represents this situation? (Please don't mind the filled bubble at the bottom right corner.)
Answer:
Graph given on the top right side.
Step-by-step explanation:
Nina used 5 L of water from her rain barrel to water her plants every week.
She did this until her rain barrel was empty.
So barrel will be empty in the time = [tex]\frac{75}{5}=15[/tex] weeks.
Nina started watering when rain barrel contained 75L of water.
We draw a graph with water remaining on y-axis and weeks to get the barrel empty on x-axis.
Line representing this process will start from a point (0, 75) on y-axis and will end at x-axis at the point (15, 0).
Therefore, graph given on the top right side of the options is the correct answer.
The correct graph is the graph at the top right of the image given.
This is about interpreting graphs.From the graph, we see that the water remaining is represented on the y-axis while weeks it will take for the barrel to get empty is represented on the x-axis.
When she started watering, her rain barrel contained 75 L of water. This means that amount remaining when she started at 0 weeks was 75 L.This means that, the first coordinate will be; (0, 75). 0 on the x-axis and 75 on y-axis.
We are told that every week she used 5 L of water from her barrel.Since continued using 5 litres every week until the barrel was empty, it means that,Number of weeks it took for the barrel to be empty = 75/5 = 15 weeks
This means when, the water is finished, y-axis will be 0 L while x-axis will be 15 weeks and the coordinate here is (0, 15)Thus, the correct graph is the graph at the top right of the image given.Read more at; brainly.com/question/2050992
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
Multiply.
√2 ⋅ √5 ⋅ √11
So remember the product rule of radicals: √ab = √a × √b
In this case:
√2 × √5 × √11 = √(2 × 5 × 11) = √110
√110 is your final answer.
If alice is $24 per hour painting houses if he works 263 hours how much money will alex earn
$24 per hour * 263 hours = $6,312
It is a rate per hour times hours worked.
Round 111.11111 to the nearest ten thousandth. 111.11 111.111 111.1111 111.11111
Answer: C) 111.1111
Step-by-step explanation:
here are the place values to the right of the decimal.
decimal → tenths → hundredths → thousandths → ten thousandths
. 1 2 3 4
Round the number to 4 digits to the right of the decimal point.
Answer: C. 111.1111
A dairy needs 392 gallons of milk containing 5% butterfat. How many gallons each of milk containing 6% butterfat and milk containing 2% butterfat must be used to obtain the desired 392 gallons?
Qty % Qty * %
Solution 1: x 6% = 0.06 = 0.06x
Solution 2: 392 - x 2% = 0.02 = 0.02(392 - x) = 7.84 - 0.02x
Mixture: 392 5% = 0.05 = 0.06x + 7.84 - 0.02x
392(0.05) = 0.08x + 7.84
19.6 = 0.08x + 7.84
11.76 = 0.08x
147 = x
Solution 2: 392 - x = 392 - (147) = 245
Answer: 147 gallons 6% and 245 gallons of 2%
{x*0.02+0.06y=392*0.05
{x+y=392, x=392-y
0.04y=11.76, y=294; x=392-294=98
There is need 98 gallons of milk with 2% butterfat and 294 gallons of milk with 6% butterfat
What is 1/4 x 5.6? / means fractions.thanks!
1 4/10 = 1/4 * 5.6 = 1.4 = 1 4/10
The product of the numbers (1/4) and 5.6 will be ( 7/ 5 ).
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
Given numbers are ( 1/4 ) and 5.6. The product will be calculated as:-
1/4 x 5.6 = 5.6 / 4
1/4 x 5.6 = 56 / 40
1/4 x 5.6 = 14 / 10
1/4 x 5.6 = 7 / 5
Therefore, the product of the numbers (1/4) and 5.6 will be ( 7/ 5 ).
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Please help me with 1a, thanks
Since 1A claims that the diagram is of a square, you can easily find the perimeter by multiplying just one side by 4, because the definition of a square says that all of its four sides are equal in length.
Take the left side, x and 4, and add them together, because both of these lengths add up to form the side of the square. You have found one side of the square, x + 4. Now multiply this side by 4 for the perimeter.
Perimeter is the length all around the figure, and since a square has 4 sides you would multiply one side by 4 to find the perimeter.
4(x + 4) is your expression for the perimeter of the square. You could probably solve 1B and 1C by substituting in 3 and 5 for x in the equation I've given you :)
Which of the following is not a tool for monitoring your finances?
A. Personal balance sheet
B. Budget
C. Liability
D. Cash flow statement
You may want to take this question over to the business category though I believe the answer is C.
The others show how your money is moving, how it's being spent, where you plan on spending it, how much you save, etc. Wouldn't think liability is one of those.
What is the sum of 2 to the power of 4 and 7 to the power of 2 write the answer in standard form
2⁴ + 7²
= 2x2x2x2 + 7x7
= 16 + 49
= 65
Answer: 65
The sum of [tex]2^4[/tex] and [tex]7^2[/tex] in standard form is [tex]6.5 \times 10^1[/tex].
To find the sum of [tex]2^4[/tex] and [tex]7^2[/tex] and write the answer in standard form, follow these steps:
Calculate [tex]2^4[/tex]:
[tex]2^4 = 2 \times 2 \times 2 \times 2 = 16[/tex]
Calculate [tex]7^2[/tex]:
[tex]7^2 = 7 \times 7 = 49[/tex]
Add the results from steps 1 and 2:
[tex]16 + 49 = 65[/tex]
Write the sum in standard form (also called scientific notation):
A number in standard form is written as [tex]a \times 10^n[/tex], where [tex]1 \leq a < 10[/tex] and [tex]n[/tex] is an integer.
For 65, we can write it as:
[tex]65 = 6.5 \times 10^1[/tex]
Mr. Moore has 21 feet of wallpaper he cuts it into sections that are each 3 feet long how many
Total = 21 feet
if each is 3 feet
21/3 = 7
Therefore, there are 7 sections
Mathematics defines division as breaking into parts a larger unit to make several smaller units.
Division of 21 feet wallpaper into 3 feet section will give 7 small parts of the wallpaper.
To reach above answer, following calculation was made:
[tex]\begin{aligned} \rm Total\: length\:of \: the \:wallpaper &= 21\rm \:centimetres\\Length \:of\:each\:section &= 3\: \rm centimetres\end[/tex]
Therefore, number of sections will be the division of total length to length of each section.
[tex]\rm \begin{aligned} Number \:of \:sections &= \dfrac{\rmTotal\: length}{\rmLength\:of\:each\:section}\\ \\&= \dfrac{\rm 21\:centimetres}{\rm 3\:centimetres}\\\\&= \rm 7 \:sections \end[/tex]
Hence, 21 centimetres long wallpaper can be divided into 7 sections that are 3 centimetres long.
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i need some help with an algebra equation please help