The equation in slope-intercept form is:
y=4x-23
Step-by-step explanation:
The given equation is:
The given equation is in point-slope form. we have to convert it to the slope-intercept form.
the slope intercept form is:
So,
Subtracting 3 from both sides
The equation in slope-intercept form is:
y=4x-23
Keywords: Point-slope form slope-intercept form
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Answer:
f(-3)=56
Step-by-step explanation:
When evaluating a specific input for a function, you just plug that input in for x.
So in this case, f(-3)=5(-3)^2-2(-3)+5
f(-3)=5(-3)^2-2(-3)+5
f(-3)=5(9)+6+5
f(-3)=45+6+5
f(-3)=56
Answer:
V=15.44
Step-by-step explanation:
We have a formula
V=\int^{π/3}_{-π/3} A(x) dx ,
where A(x) calculate as cross sectional.
We have:
Inner radius: 5 + sec(x) - 5= sec(x)
Outer radius: 7 - 5=2, we get
A(x)=π 2²- π· sec²(x)
A(x)=π(4-sec²(x))
Therefore, we calculate the volume V, and we get
V=\int^{π/3}_{-π/3} A(x) dx
V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx
V=[ π(4x-tan(x)]^{π/3}_{-π/3}
V=π·(8π/3-2√3)
V=15.44
We use a site geogebra.org to plot the graph.
Answer:
Each board is (4/25) meters long = 0.16 meters long
Step-by-step explanation:
The board is 4/5 meters long, and he needs to cut 5 equal pieces, so we need to divide 4/5 of a meter in 5 parts.
This mathematically becomes: 4/5 divided by 5 which by the definition of division of rational numbers, is the same as :
4/5 times the reciprocal of 5 = (4/5) * (1/5) = (4/25) = 0.16 meters each board
Answer:
To convert 3.041 into scientific notation, follow these steps:
Move the decimal 0 times to left in the number so that the resulting number, m = 3.041, is greater than or equal to 1 but less than 10
Since we moved the decimal to the left the exponent n is positive
n = 0
Write in the scientific notation form, m × 10n
= 3.041 × 10^0