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3 years ago

Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.

1 answer:

4 0

4 a⁴ - 2 b² + 40 :

4 * ( 2⁴) - 2 * ( 7²) + 40 =

4 * 16 - 2 * 49 + 40 =

64 - 98 + 40 =

-34 + 40 =

+ 6

<span>hope this helps!</span>

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39x2 Divided by 3-10?

satela [25.4K]

Answer:

the answer is 16

Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

zepelin [54]

Answer:

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

Step-by-step explanation:

We need to find equation from the table given

x f(x)

3 -5

7 -2

11 1

15 4

We can write equation in the form of $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the table we have: $x_1=3, y_1=-5, x_2=7, y_2=-2$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}$

So, we get slope $m=\frac{3}{4}$

Now, finding y-intercept

Using the slope $m=\frac{3}{4}$ and point (3,-5) we can find y-intercept

$y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}$

The y-intercept is $b=\frac{-29}{4}$

So, the equation having slope $m=\frac{3}{4}$ and y-intercept $b=\frac{-29}{4}$ will be:

$y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}$

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

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3 years ago

33) Given the graphs of f(x) = x - 1 and g(x) = -x - 7, what is the solution to the equation f(x) = g(x)?

neonofarm [45]

Answer:

Step-by-step explanation:

The solution is the point of intersection of the 2 lines

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2 years ago

Solve the equation 4s2+32s=60 by completing the square

lord [1]

Answer:

s = -4 ± √31

Step-by-step explanation:

Given 4 $s^{2}$ + 32s = 60

divide by 4 throughout

$s^{2} + 8s = 15\\s^{2} + 8s + (\frac{8}{2}) ^{2} = 15 + (\frac{8}{2}) ^{2}$

$(s + 4)^{2} = 31\\s + 4 = \sqrt{31}$

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3 years ago

you have a bag full of 17 marbles. Of those marbles, 3 are black. What is the probability that a marble chosen is not black

sdas [7]

Total number of marbles = 17

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Probability of not black = Number not black / Total

= 14 / 17

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3 years ago