Answers
Answer:
Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Step-by-step explanation:
First we will find slope of the graph.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We need to find two points from the graph to find the slope.
Let we take point 1 (-2,1) and point 2 (1,2)
We will have: [tex]x_1=-2, y_1=1, x_2=1, y_2=2[/tex]
Now finding slope of the graph
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}[/tex]
So, slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Now, we will find slope of Linear function.
It has x-intercept of 1 and y-intercept of -2
x-intercept means y=0
So, the point will be: (1,0)
y-intercept means x=0
So, the point will be: (0,-2)
We will have: [tex]x_1=1, y_1=0, x_2=0, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2[/tex]
So, the slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
Now, we need to find which of the slope is steeper.
The larger the value of slope, more steeper it is:
Now, comparing the slopes:
The slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
The slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
We know that, [tex]\frac{1}{3}>-2[/tex]
So, Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Related Questions
Given ABCD what is the value of y?
Answers
Answer:
x=7
y=5
Step-by-step explanation:
quadrilaterals have 360 degrees, and their opposite angles are equal
15x+5=16x-2
7=x
(plug back in to find angle)
15(7)+5=110
that angle, plus opposite angle, equals 110.
360-220=140
140/2=70
now we know the value of other unsolved angle
70=12y+10
60=12y
5=y
I have a very relaxing break playing Solitaire as often as I could. After playing 500 games, my success rate is 49%. How many games do I need to win to increase my success rate to 50%?
Answers
Answer:
5 more games to be won for the 50% success rate.
Step-by-step explanation:
Total number games played = 500
Number of successful games = 49% of 500
= 500 × [tex]\frac{49}{100}[/tex]
= 245
Number of successful games for the success of 50% = 500 × [tex]\frac{50}{100}[/tex]
= 250
Therefore, number of game you have to win more = 250 - 245
= 5 games
Help? Will give brainliest
Answers
Answer:
2) A
3) A
Step-by-step explanation:
2:
3y + 4x = 15
(divide 15 by 3 to get y by itself... then subtract 4 to the side with 15 so you have the proper equation)
y = 5 - 4x (when you graph it, the y intercept is 5)
3:
since x = -4y ... you substitute that into the second equation
-4y + 5y = 2
then solve for y
y = 2
so now you substitute y into the first line
x = -4(2)
x = -8
✧･ﾟ:Multiple Choice:･ﾟ✧
What is the slope of the line in the graph below?
A. -2
B. -1
C. 1
D. 2
° ♡ ₒ ♡ °
Thank you!
Answers
Answer:
-2
Step-by-step explanation:
slope is rise over run
-2/1
= -2
Answer:
-2
Step-by-step explanation:
Slope is rise over run -2/1
a point with positive x coordinate in a meander Y coordinates is reflected over the y-axis which sentence describes the coordinate of the new point
Answers
Answer:
B. negative x-coordinate and negative y-coordinate
In the diagram the length of segment VS is 39 units what is the length of segment TV
Answers
Answer:
33
Step-by-step explanation:
Answer: B. 38
Step-by-step explanation:
Got it right, Edge 2022.
Find the length of the third side to the nearest tenth. a=4 b=6 c=?
Answers
Answer:
[tex]2\sqrt{13}[/tex]
Step-by-step explanation:
What equation could be written for this table?
Answers
Answer:
y = 3 + 1/2 * x
Step-by-step explanation:
A student solves this problem by writing an equation. Which strategy could help check the student’s answer? Check that the sum of the final answer, 12, and 15 is 55. Check that the difference of 55 and the final answer is 12. Check that the sum of the final answer, 27, and 15 is 55. Check that the difference of 55 and the final answer is 15.
Answers
total = green marbles + red marbles + blue marbles
55 = 15 + 12 + blue marbles
55 = 27 + blue marbles
55 - 27 = blue marbles
28 = blue marbles
plz i need help
In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. What is the value of sinF?
Answers
Answer:
Sin F = 0.6
Step-by-step explanation:
From triangle ABC, applying Pythagoras theorem to determine the length AB;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/AC/^{2}[/tex] = [tex]/BC/^{2}[/tex] + [tex]/AB/^{2}[/tex]
[tex]/20/^{2}[/tex] = [tex]/16/^{2}[/tex] + [tex]/AB/^{2}[/tex]
400 = 256 + [tex]/AB/^{2}[/tex]
[tex]/AB/^{2}[/tex] = 400 - 256
= 144
AB = [tex]\sqrt{144}[/tex]
= 12
AB = 12, AC = 20, BC = 16
Therefore since ΔABC ≅ ΔDEF, and each side of triangle DEF is [tex]\frac{1}{3}[/tex] the length of the corresponding side of triangle ABC.
Then,
DE = [tex]\frac{1}{3}[/tex]AB = [tex]\frac{1}{3}[/tex] x 12
= 4
EF = [tex]\frac{1}{3}[/tex]BC = [tex]\frac{1}{3}[/tex] x 16
= [tex]\frac{16}{3}[/tex]
DF = [tex]\frac{1}{3}[/tex]AC = [tex]\frac{1}{3}[/tex] x 20
= [tex]\frac{20}{3}[/tex]
Then, applying trigonometric function to ΔDEF, we have;
Sin F = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{DE}{DF}[/tex]
= 4 ÷ [tex]\frac{20}{3}[/tex]
= 4 x [tex]\frac{3}{20}[/tex]
= [tex]\frac{3}{5}[/tex]
Sin F = 0.6
Taras garden is 3/8 are red flowers and 3/6 are yellow flowers which is greater
Answers
Answer: 3/6
Step-by-step explanation:
If you convert them into decimals you get
3/8 = 0.375
3/6 = 0.5
Answer: 3/6 is greater
Step-by-step explanation:
Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will be the total amount she has spent after 8 months.
Answers
Answer:
94.7
Step-by-step explanation:
15.50+10*0.99*8
Challenge A large university accepts 40% of the students who apply. Of the students the university
accepts, 45% actually enroll. If 20,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Plzzzz help
Answers
Answer:
3,500
Step-by-step explanation:
Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. StartAbsoluteValue negative 3 EndAbsoluteValue + StartAbsoluteValue negative 5 EndAbsoluteValue = 3 + 5 = 8. The distance is 8 units. Riko correct? Explain why or why not.
Answers
Answer:
Riko is wrong because she uses the wrong formula.
Step-by-step explanation:
Given the coordinate points (-2, -3) and (2, -5)
We are to find the distance between the two points
Using the formula:
D = √(x2-x1)²+(y2-y1)²
From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5
Substitute
D = √(2-(-2))²+(-5-(-3))²
D= √(4)²+(-2)²
D = √16 + 4
D = √20
D = √4*√5
D = 2√5
This shows that Riko is wrong because she uses the wrong formula.
Answer:
No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.
Step-by-step explanation:
Identify the slope and y-intercept. If the equation is in standard form, you may need to switch it to slope-intercept form. Sketch the graph of each line.
y = -4/ 5 x
Answers
Answer:
the slope is -4/5 and the y-intercept is 0
Step-by-step explanation:
Here are the marks of a student in four exams. 65 80 76 69 The student takes a fifth exam. His mean mark for the five exams is 70 Work out his mark in the fifth exam
Answers
Answer:
mark of the fifth exam = 60
Step-by-step explanation:
Mean = sum of all marks / number of exam
Mean = 70
Number of exam = 5
Let x =
Mean = sum of all marks / number of exam
70 = (65 + 80 + 76 + 69 + x) / 5
Cross product
70 × 5 = (290 + x)
350 = 290 + x
350 - 290 = x
x = 60
mark of the fifth exam = 60
A fighter pilot needs to make an emergency landing. He needs a clear space that is at least 600 m long to land safely. He is flying at an altitude of 300 m. He sees a small empty field. The angles of depression from the jet to the two ends of the field are 30° and 56° [5]
a) How long is the field?
b) Can he land safely?
Answers
(a) See the attached sketch. The jet makes a right triangle with the ground with hypotenuse y. Since the angle of depression is 56°, and the plane in which the jet is flying 300 m in the air is parallel with the ground, the angle of elevation in the right triangle is also 56°. Use the definition of sine to solve for y.
sin(56°) = (300 m)/y → y = (300 m)/sin(56°)
The uppermost angle in the blue triangle has measure equal to the difference between the two given angles of depression, 56° - 30° = 26°, and the rightmost angle is also 30° by the same reasoning as before. Then by the law of sines,
x/sin(26°) = y/sin(30°) → x = sin(26°)/sin(30°) y ≈ 317.2627 m
(b) No, the field is not long enough.
a carton of ice cream sold for $2.20 was on sale for 45% off. what was the original price of the ice cream?
Answers
Answer:
It was originally sold at roughly $4.887
Step-by-step explanation:
1) 2.20/.45 ≈ 4.8
2) 4.8 x .45 = 2.16
3) 4.88 x .45 = 2.196
4) 4.887 x .45 = 2.19915
The original price of the ice cream is $4.8
What is the discount price?Discounting a product means offering it at a lower price than the list price.
Given that, a carton of ice cream sold for $2.20 was on sale for 45% off.
Let the original price of the carton be x.
x*45% = 2.20
x = 2.20*100/45
x = 4.8
Hence, the original price of the ice cream is $4.8
For more references on Discount price, click;
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Please Help! #17, 18, 19
Answers
Answer: 17: No, the triangles are not similar.
I'm sorry, that is the best I can do, I forgot all about triangles ;-;
Step-by-step explanation:
PLEASE HELP ME FAST I NEED THE SOLUTION REALLY QUICK
Answers
Answer:
WHERE IS THE QUESTION
Step-by-step explanation:
The average of the integers 4, 9, 10, 14, a, and b is 10. Find the sum of a and b.
Answers
Answer:
The answer is A = 14 B = 4 14 - 4 = 10 I think.
Step-by-step explanation:
It's not a sum its a difference because this is a subtraction problem I think.
Three hundred cars drove over a bridge in 23 minutes. At that rate, how
many cars would drive over the bridge in 138 minutes?
Answers
Answer:
1800
Step-by-step explanation:
300 cars in 23 minutes so 300/25 = how many cars each minute
that equals 13.04347....
so on your calculator multiply that by 138 which gives you 1800 cars
Answer:
138/23×300=1800cars drove over the bridge
Step-by-step explanation:
what is the original price when the discount is 25% and the sale price is $40
Answers
Answer:
the original price was $53.33
Step-by-step explanation:
$x ---- 100%
$40 ------- 75% (this is because 25% of it's just 75% of the actual price)
[tex]75\cdot x = 100\cdot 40\\\\75x = 4000\\\\x=53.33[/tex]
===============================================
Work Shown:
x = original price
25% = 25/100 = 0.25
25% of x = 0.25x = discount, or amount saved
final price = (original price) - (discount)
final price = (x) - (0.25x)
final price = 0.75x
0.75x = 40
x = 40/0.75
x = 53.333333
x = 53.33
The original price is $53.33
The discount, or amount saved, is 0.25*x = 0.25*53.33 = 13.3325 = 13.33 dollars.
This means the sale price is 53.33 - 13.33 = 40
We can also see this through computing 0.75*x = 0.75*53.33 = 39.9975 = 40, which matches with the given sale price.
Note how I'm rounding to the nearest penny when needed.
Is (1, 2) a solution to this system of equations? 10x + 4y = 18 x + 9y = 19
Answers
Answer:
Yes
Step-by-step explanation:
The intersection point of 10x+4y=18 and x+9y=19 is (1,2) on a graph.
When you divide a unit fraction by a whole number greater that 1, the quotient is always smaller than the unit fraction being divided. Why is this true? Use an example to support your answer.
Answers
Answer:
The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
Let's consider dividing the unit fraction 1/3 by the whole number 2:
= 1/3 ÷ 2
= 1/3 x 1/2
= 1/6
We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.
This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.
This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.
In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.
This relationship holds true for any unit fraction and any whole number greater than 1.
The resulting quotient will always be smaller than the original unit fraction being divided.
Thus,
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
Learn more about fractions here:
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Please help for:
5 − 8 −2n = −75
Answers
Answer:n
= − 5 , 5
Step-by-step explanation:
The cost of purchasing gasoline varies directly with the number of gallons purchased. Kali paid $52.90 for 23 gallons of gas. What is the direct variation equation that relates y, the cost of a gasoline purchase, to x the number of gallons?
Answers
Answer:
y = 2.3x
Step-by-step explanation:
y = kx
52.9 = 23x
52.9 ÷ 23 = x
x = 2.3
What should be done to both sides of the equation in order to solve -5 m = -40?
Multiply by -5.
Multiply by -40.
Divide by -5.
Divide by -40.
Answers
Answer:
I know for a fact that it is Devide by nagative 5
Step-by-step explanation:
What is the area of the base?
Answers
Answer:
40
Step-by-step explanation:
Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?
The older sibling will catch the younger sibling after ? second(s) and running ? feet.
Answers
Answer:
it would take approximately 8 seconds
Step-by-step explanation:
7x8 + 32 =88 but will take 8 seconds to get 88 with going 11 feet per sec 8×11=88
