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4 years ago

10a−25+5b= I NEED HELP PLZ

Mathematics

1 answer:

Gnesinka [82]4 years ago

3 0

Answer:

5(2a-5+b)

Step-by-step explanation:

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The graph shows the solution to the initial value problem y'(t)=mt, y(t0)= -4

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$y'(t)=mt
\\
\\ y=\int {mt} \, dt=m \int{t} \,dt=m \frac{t^2}{2} +C \\ \\y= \frac{mt^2}{2}+C$

Now find equation of the graph. It passes through the point (2,3), and intersects y-axis at -2.

$y=at^2+b
\\
\\3=a\times 2^2-2
\\
\\3=4a-2
\\
\\5=4a
\\
\\a= \frac{5}{4} 
\\
\\y=\frac{5}{4} t^2-2 \\ \\y= \frac{m}{2} t^2+C
\\ \\ \frac{m}{2} = \frac{5}{4} 
\\
\\m= \frac{5}{2} 
\\
\\C=-2
\\
\\y(t_0)=-4
\\
\\-4= \frac{5}{4} t_0^2-2
\\
\\ -2= \frac{5}{4} t_0^2
\\
\\ t_0^2=- \frac{8}{5} 
\\
\\t_0=\pm \sqrt{- \frac{8}{5} }$

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4 years ago

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Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force o

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Step-by-step explanation:

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Darnell completed 35 push-ups in one minute, which is 8 more than his previous personal best. Mia completed 6 more push-ups than

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Answer:

Step-by-step explanation:

Here, d represents the number of push-ups Darnell completed during his previous personal best and k represent the number of push-ups Katie completed,

∵ According to the question,

Darnell's current push ups = d + 8,

Mia's push-ups = d,

Katie push-ups = d + 6

Again according to the question,

d + 8 = 35 ⇒ d = 27,

Hence, the number of push-ups completed by Katie, k = d + 6 = 27 + 6 = 33

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3 years ago

Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each eq

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Answer:

Slope-intercept is y=-x/3

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Step-by-step explanation:

First, we need to put this as slope-intercept for which is y=mx+b

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