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]
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Answer:
4
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between -4 and 0 is 4.
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Step-by-step explanation:
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Step-by-step explanation:
A tree has a shadow length of approximately 9 feet. The distance from the tip of the tree to the tip of the shadow is bout 15 feet. How tall is the tree?
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Answers
so a^2 + b^2 = c^2
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Answer:
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Step-by-step explanation:
if you draw the picture in your copybook you will see that there is a right triangle, we have the Pythagorean theorem i.e c=√a²+b²
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Step-by-step explanation:
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The distance covered by three runners and the time they spent running is shown in the table. If Rudy continues at the rate in the table, how far will he run in 2 hours?
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Answers
Answer:
16 is the answer
Step-by-16step explanation:
The required distance run by the rudy in 2 hours is 16 miles.
Given that,
The distance covered by the three runners and the time they spent running is shown in the table. If Rudy continues at the rate in the table, how far will he run in 2 hours is to be determined.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
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Now,
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The local car dealership will approve the purchase of a $32,795
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Answer:
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Step-by-step
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5. C
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
Evaluate 6x - 4y when x = 5, y = 2
Answers
Answer:
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Step-by-step explanation:
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Answer:
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Answer:
990 - 990 = 0
Step-by-step explanation:
990
990
- ____
000
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Answers
Answer:
a = 3
Step-by-step explanation:
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Brian has reduced his cholesterol level by 13% after his last check up. If his original level was 240, what is his approximate cholesterol level now?
Answers
Answer:
208.8
Step-by-step explanation:
240 times 0.87 is 208.8
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation
Given the expression 4.3(3-5b) = 1.2b
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4.3(3-5b) = 1.2b
4.3(3)-(4.3)(5b) = 1.2b
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Answers
Answer:
2+2
Step-by-step explanation:
There ya go
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
-19,-23,-27
Step-by-step explanation:
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Step-by-step explanation:
<33
Which of the following would be a possible solution to the system of inequalities given below?
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Answers
Answer:
(3, -3)
Step-by-step explanation:
A point qualifies as a solution to a system of inequalities if it is true when both of its x and y values are substituted into the both inequalities. Knowing this, let's plug in the first option, (3, -3), into both inequalities.
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6 is bigger than 4, so (3, -3) is a solution to that inequality too.
Since (3, -3) is a solution to both inequalities, it must be the answer.
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Answers
Answer:
x<-2
Step-by-step explanation:
4x-2x2=-16 so it must be anything less than -16
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Answers
Answer:
-1
Step-by-step explanation:
the 1 substitutes the x so plug in 1 for x
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-4
2/9
Square root 11
8.26 repeating 6
Answers
Answer:
8.26 repeating 6/ square root 11
Step-by-step explanation:
Examples of Irrational Numbers
Pi, which begins with 3.14, is one of the most common irrational numbers. ...
e, also known as Euler's number, is another common irrational number. ...
The Square Root of 2, written as √2, is also an irrational number.
Answer:
C
Step-by-step explanation:
edge 2020 took the quiz
HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum value of 7.
Answers
Answer:
[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]
Step-by-step explanation:
Vertex Form of a quadratic equation;
[tex]y = a( x - h )^{2} + k[/tex]
Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;
[tex]y = a ( x + 3 ) ^{2} + 7[/tex]
Now substitute in the given point; ( -1, 9) and solve for a;
[tex]9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7 -7\\2 = 4a\\\frac{1}{2} = a\\[/tex]
Hence the equation in vertex form is;
[tex]y = \frac{1}{2}(x - 3)^{2} + 7[/tex]
In standard form it is;
[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]