Answer:
7.5 weeks
Step-by-step explanation:
Divide the amount by the rate to find the time:
(3/4 bag)/(1/10 bag/week) = 30/4 week = 7.5 weeks
Answer:
4/3
Step-by-step explanation:
To the power of negative one just means 1 divided by and 1 divided by 3/4 is just 4/3
Answer:
76 balls and 24 bats
Step-by-step explanation:
Set up a system of equations where x is the number of balls and y is the number of bats:
x + y = 100
4.5x + 20y = 822
Solve by elimination by multiplying the top equation by -20, then combine the equations together:
-20x - 20y = -2000
4.5x + 20y = 822
-15.5x = -1178
x = 76
Then, plug in 76 as x in the first equation to solve for y:
x + y = 100
76 + y = 100
y = 24
So, 76 balls and 24 bats were purchased.
Answer:
y = -1/2x + 6
Step-by-step explanation:
<em>We know that the slope intercept form of a line is .</em>
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<em>Also, if two lines are parallel, they have the same slope. So re-writing the given equation 2x + 4y = 10 in the slope intercept form to find know its slope.</em>
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<em>So the slope of the equation will be .</em>
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<em>Finding the y-intercept (c):</em>
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<em>Therefore, the equation of the line n slope intercept form that is parallel to 2x + 4y = 10 and passes through the point (8, 2) is y = -1/2x + 6.</em>
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Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
