3 years ago

Which expression is equivalent to 10- (2x^3 + 11x^2 - 2x - 35)

Mathematics

1 answer:

Semenov [28]3 years ago

5 0

Answer:

22x^2+x+3

Step-by-step explanation:

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Find the slope between the pair of points (1,3) and (7,2)

agasfer [191]

Answer:

$\bold{m=-\dfrac16}$

Step-by-step explanation:

$\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}$

(1, 3) ⇒ x₁ = 1, y₁ = 3

(7, 2) ⇒ x₂ = 7, y₂ = 2

So the slope:

$\bold{m=\dfrac{2-3}{7-1}=\dfrac{-1}6=-\dfrac16}$

5 0

3 years ago

Which property is illustrated by the following equation?<br> - 10 + 8 = 8 + ( - 10 )

Snowcat [4.5K]

I believe it is commutative property cause the numbers didn't change instead they just switched places in the equation.

4 0

3 years ago

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

loris [4]

The answer would be A. 15mi

4 0

2 years ago

Find the volume of the composite figure

AURORKA [14]

39in³ is a required volume.

Solution given:

for upper one

length[l]=8in

breadth[b] =3in

height[h]=1in

now

volume [V1]=l×b×h=8×3×1=24in³

again for lower one:

length[l]=6-1=5in

breadth[b] =3in

height[h]=1in

volume [V2]=l×b×h=5×3×1=15in³

Again

total volume =V1+V2=24in³+15in³=39in³

6 0

3 years ago

Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch's 200 cows. Instead of weighing all of t

Zolol [24]

Answer:

The value is $E =19.6$

Step-by-step explanation:

From the question we are told that

The mean of Jo cows is $\= x_1 = 1350$

The standard deviation of Jo cow is $s_1 = 50$

The mean of Val cows is $\= x_2 = 1420$

The standard deviation of Val cows is $s_2 = 50$

The sample size for both Val and Jo is n = 25

Let assume that the level of significance is $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

Hence margin of error for Jo is

=> $E = 1.96 * \frac{50}{\sqrt{25} }$

=> $E =19.6$

4 0

3 years ago