Answers
The equation of the given graph will be y=-3/2x+3 so none of the options will be correct.
How to plot a graph?
A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
The point of intersection of the line and x-axis = (2,0)
The point of intersection of the line and y-axis = (0,3)
The slope of the graph or line
Slope = differcne in ys coordinate/difference in xs coordinate
Slope(m) = (3-0)/(0-2) = -3/2
Now equation of a line is given by
y = mx + c
Now keep point (2,0) and slope-3/2
0 = (-3/2)2 + c
c = 3
So, the equation would be
y = (-3/2)x + 3
Hence, The equation of the given graph will be y=-3/2x+3
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The equation of the graph is - y = [tex]\frac{-3}{2} x + 3[/tex]
We have a graph of a equation of a straight line.
We have to find the equation of the straight line.
What is the general equation of a straight line ?The general equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to the question -
The slope of line = [tex]\frac{3-0}{0-2}[/tex] = [tex]\frac{-3}{2}[/tex]
c = 3
Substituting the values in the general equation of line, we get -
y = [tex]\frac{-3}{2} x + 3[/tex]
Hence, the equation of the graph is - y = [tex]\frac{-3}{2} x + 3[/tex]
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Related Questions
d(-3+x)=kx+9 can you solve
Answers
The difference between two numbers is less than 0.
Could both numbers be negative? Can both be positive? One negative and one positive? Explain.
Answers
Solve the equation by factoring. 3z^2+3z-6=0
Answers
Answer:
z = 1 or z = –2
Hope this helps !
Answer:
z = 1 or z = –2
Step-by-step explanation:
Paige has to make invitation cards for a party. If she can make 18 cards in 2 days, how many cards can she make in 30 days?
Answers
Answer:
270 cards
Step-by-step explanation:
18 cards in 2 days means 9 cards in a day. So that means that we have to multiply 9 cards a day by the number of days, which is 30.
9 x 30 = 270
Meaning, Paige made 270 cards in 30 days.
Real world problem for 3x-15=10
Answers
Number 18 pls help me
Answers
Following PEMDAS, we first focus on the parenthesis. So we simplify 9-3 to get 6
So we go from
18*4^2+(9-3)^2
to
18*4^2+6^2
The next step is applying exponents. In this case, squaring the terms, so we go from
18*4^2+6^2
to
18*16+36
Next is multiplying
18*16+36
turns into
288+36
Finally, add up 288 and 36 to get 288+36 = 324
That confirms that Lila is correct
----------------------
The error that Rob made is that he computed 18*4^2+9^2-3^2 but it is NOT correct. Saying (x-y)^2 = x^2-y^2 isn't a true equation for all x and y. Again you have to simplify what is in the parenthesis first, and then you can square it. Or you must use the FOIL rule to expand out (9-3)^2
A triangle has the following angle measures: 125°, 15°, and 40°. Which of the following statements best describes its drawing?
A)It is impossible to construct a triangle with these angle measures.
B)There is one possible triangle with these angle measures.
c)There are many possible triangles with these angle measures.
D)There are many possible similar triangles with these angle measures.
Answers
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Measures of angles are as follows:
125°, 15°, 40°
As we know the sum of all angles in a triangle is supplementary i.e. 180°.
∠A+∠B+∠C=180°
125°+15°+40°=180°
Therefore, it is satisfying the angle sum property.
So, it can form a triangle.
Now, we will check for uniqueness.
As similar triangles need two angles to be equal by AA criteria , their sides can vary with two equal angles.
Hence, there is possibility to have many possible similar triangles with angle measures.
Therefore, Option 'D' is correct.
Twenty-one out of 70 customers at the restaurant ordered dessert. What percentage of the customers did not order dessert?
Answers
To find your answer you must subtract first:
70 - 21 = 49
Now, how much percent is 49 of 70?
49/70 = 0.7000
0.7000 * 100 = 70.00%
49 is 70% of 70.
I really hope this helped you! :)
To check your answer: (70 × 70.00)/100 = 49
70 - 21 = 49
Next, you would need to create an equation for this problem. Let x represent the unknown percentage.
[tex] \frac{49}{70} [/tex] = [tex] \frac{x}{100} [/tex]
Cross multiply.
70x = 4,900
Now, all you would need to do is isolate the x. To do this, you would divide both sides by 70.
x = 70
x = 70%
So, 70% of the customers ordered dessert.
I hope this helps!
-3 times what equals 9
Answers
x = 9 / (-3)
x = -3 <== so -3 * -3 = 9
The value to fill in the blank is -3.
So, -3 x -3 = 9.
We have,
To solve the equation -3 x __ = 9, we need to find the value to fill in the blank that makes the equation true.
Let's denote the value we need to find as "x".
When we multiply -3 by "x", it means we are adding -3 to itself "x" times.
So, the equation becomes -3 times "x" equals 9:
-3x = 9.
To solve for "x", we can divide both sides of the equation by -3:
-3x / -3 = 9 / -3
This simplifies to:
x = -3
Therefore,
The value to fill in the blank is -3. So, -3 x -3 = 9.
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In 2007, the population of North America was approximately 5.15 x 108 people and the population of South America was approximately 3.04 x 108 people.
What is the combined population of North and South America for this year?
A) 8.19 x 1016 people
B) 8.19 x 109 people
C) 8.19 x 108 people
D) 8.19 x 1064 people
Answers
The calculation is as follows:
combined population = (5.15*10^8) + (3.04*10^8) = 8.19*10^8 people
Answer : (c)
Answer:
The approximate population of north and South America combined is about 900 million or 13 percent of the worlds population
Step-by-step explanation:
Someone help me quick!
Answers
so remember factorise means to add brackets in.this will be a single bracket so we need a number / letter that will go outside the bracket.in this case it will be a number because 50 dosent have a letter only 20 has a letter which is k. you need to put the highest number that goes into both numbers on the outside of the bracket which is 10.
20k + 50
=10(2k + 5)
to check if it's right we simplify it out using a fraud method or whoever method your comfortable with.
10(2k+5)
10*2k=20k
10*5=50
=20+50k
so it is factorised correctly.
answer is 10(2k+5)
A cyclist travels downhill 125 feet Then she travels up a hill 50 feet
Answers
Answer:
The answer would be 75
Step-by-step explanation:
125-50= 75 so that would be your answer.
Hope this helps!
There are two doorways into the Funhouse the doors are similar rectangles the tall door is 9 feet high and 5 feet wide the short door is 4 feet high how wide is the short door?
Answers
HELP ME PLEASE, I'LL CHOOSE A BRAINIEST PERSON!!!
Which trigonometric ratios are correct for triangle ABC? Check all that apply.
sin(C) = square root 3/2
cos(B) = square root 2/3
tan(C) = square root 3
sin(B) = 1/2
tan(B) = 2 square root 3/ 3
Answers
sin(C) = square root 3/2
tan(C) = square root 3
sin (B) = 1/2
Wednesdays low temperature in Indianapolis with 25 degrees Fahrenheit the same day in Houston low temperature was above 56°F at least how many degrees warmer was the low temperature in Houston on the low in Indianapolis?
Answers
The required difference in the temperature between the cities of Houston and Indianapolis is 31°F.
Given that,
Wednesday's low temperature in Indianapolis with 25 degrees Fahrenheit the same day in Houston's low temperature was above 56°F at least how many degrees warmer the low temperature in Houston than the low in Indianapolis is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
The temperature of Indianapolis is 25°F.
The temperature of Houston is 56°F.
The difference in the temperature = 56°F - 25°F = 31°F
Thus, the required difference in the temperature between the cities of Houston and Indianapolis is 31°F.
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An angle measures 102° less than the measure of a supplementary angle. what is the measure of each angle?
Answers
The measure of two angles are 141° and 39°.
What are supplementary angles?When the sum of two angles equals to 180°, then those angles are said to be supplements of each other and hence called supplementary angles.
Given that, An angle measures 102° less than the measure of a supplementary angle.
Let the angles be x and y, then according to question,
x+y = 180°
x-y = 102°
Solving the equation by elimination method, we get,
2x = 282°
x = 141°
Put x = 141°
141°-y = 141°
y = 39°
Hence, the asked angles are 141° and 39°
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To find the measures of the angles, set up an equation using the property that supplementary angles add to 180 degrees. Solving the equation yields one angle measuring 39 degrees and the supplementary angle measuring 141 degrees.
When dealing with angles and their measurements, it's important to remember fundamental properties, such as the fact that the sum of supplementary angles is 180 degrees. Given that an angle is 102° less than its supplementary angle, we can set up an equation to find the measure of each angle. Let's call the first angle x; therefore, the supplementary angle will be x + 102°.
Using the property that the sum of supplementary angles is 180°, we can write the equation:
x + (x + 102°) = 180°
2x + 102° = 180°
2x = 180° - 102°
2x = 78°
x = 39°
Thus, the measure of the first angle is 39° and that of the supplementary angle is 39° + 102° = 141°.
A recipe for 6 dozen cookies calls for 3/4 cup of sugar. How much sugar is needed to make 4 dozen cookies? pls show all work and answer
Answers
To do this, put it as a fraction:
4 dozen / 6 dozen, or 4/6, which is 2/3.
Since conveniently it calls for 3/4 cup of sugar, we can multiply that by 2/3, and we'll get 6/12, or 1/2.
So 1/2 cup of sugar is needed for 4 dozen cookies.
what numbers are missing 38 40 50 52
Answers
What is the equation for an explicit formula
Answers
Charles ran 3 miles in 15 minutes. At that rate, how long would it take him to run 8 miles?
30 minutes
40 minutes
50 minutes
60 minutes
Answers
Which number line represents all of the values of x for the equation x2 = 64?
Answers
x = + - 8
hope it helps
Answer:
We are asked to find all the values of x on the number line that satisfies the given quadratic equation:
[tex]x^2=64[/tex]
We know that this is a quadratic equation so the number of values that we get on the number line is maximum 2.
on taking the square root on both the side of the equation we obtain:
[tex]x=\pm 8[/tex]
Hence we get two points on the number line.
x=8 and x= -8.
These are the discrete values we did not get any interval of the solution.
Find the x-intercept of the line:
9x + 3y = -18
Question 6 options:
a) (0,-6)
b) (2,0)
c) (-2,0)
d) (3,9)
Answers
A store sells T-shirts for $14 and sweatshirts for $25. They sell 200 items and earn $3,515 in sales. Which equation could be used to find the number of T-shirts (t) sold? Answer Options with 4 options A. 14t + 25(200 − t) = 3515 B. 14 + 25(200 − t) = 3515 C. 14t + 25(200 + t) = 3515 D. 14 + 25(200 + t) = 3515
Answers
Correct me if I'm wrong.
The equation that could be used to find the number of T-shirts sold is [tex]14t + 25(200-t) = 3515[/tex] and this can be determined by forming the linear equation.
Given :
A store sells T-shirts for $14 and sweatshirts for $25. The store sells 200 items and earns $3,515 in sales.The following steps can be used in order to determine the equation that could be used to find the number of T-shirts sold:
Step 1 - Let the total number of T-shirts be 't' and the total number of sweatshirts be 's'.
Step 2 - The linear equation that represents the total number of items is:
[tex]t + s = 200[/tex]
[tex]s = 200 - t[/tex] --- (1)
Step 3 - The linear equation that represents the total earning is:
[tex]14t + 25s = 3515[/tex] --- (2)
Step 4 - Now, substitute the value of 's' in the equation (2).
[tex]14t + 25(200-t) = 3515[/tex]
Therefore, the correct option is A).
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Jill fish weighs 8 times as much as her parakeet. Together, the pets weigh 63 ounces. How much does the fish weigh?
Answers
[tex]63 \times 8[/tex]
=
504
What is 8q+6;q=2 its expression for the given value of the variable
Answers
Answer:
8q + 6 = 8*2 + 6 = 16 + 6 = 22
HELPPPPPPPPPPPPPPPPPPP PLEASEEEE
Answers
10/2=5
5-3
2
So Greg is 2 years old. I hope this helps love! :)
can you help me with 12-3(x+1)=30
Answers
[tex]12-3(x+1)=30[/tex]
Distribute the Parenthesis.
[tex]12-3x-3=30[/tex]
Combine like terms.
[tex]9-3x=30[/tex]
Add -9 to both sides.
[tex](15-3x)+(-9)=(30)+(-9)[/tex]
[tex]-3x=21[/tex]
Divide both sides by -3.
[tex](-3x)/-3=(21)/-3[/tex]
The Answer Is:
[tex]x=-7[/tex]
Hope this helps.
-Benjamin
Expression when m=8 and n=7 n+6m
Answers
n+6m
Since n=7, you'll get:
7+6m
And since m=8, you'll get:
7+6(8)
And by doing the order of operations (PEMDAS), you'll start off multiplying 6 and 8, which is 48, then add 7, which is 55.
Your answer should be 55!
7+6(8) = 55 (answer)
A manager at a shoe store received an order for 346 pairs of shoes what is 346 rounded to the nearest hundred
Answers
I need.help please
Answers
So 5,000> 50
The digit in the thousands place is more than the digit in the tens place.