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2 years ago

Simplify 15a^2 * 4c * 5ab

Mathematics

1 answer:

gulaghasi [49]2 years ago

6 0

Answer: 300a^3cb

Step-by-step explanation:

$Simplify the following:$$15 \times 4 \times 5 a^{2} c a b$$$$\begin{aligned}&15 a^{2} \times 4 c \times 5 a b=15 a^{2+1} \times 4 c \times 5 b: \\ \\&15 \times 4 \times 5 a^{2+1} c b\end{aligned}$$$$\begin{aligned}&2+1=3 \\ \\&15 \times 4 \times 5 a^{3} c b \end{aligned}$$$$\begin{aligned}&15 \times 4=60 \\ \\&60 \times 5 a^{3} c b\end{aligned}$$$$60 \times 5=300$$Answer:$$300 a^{3} c b$

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FUNCTION OR NOT /// ALGEBRA I

guapka [62]

Answer:

First figure: The graph is not a function

Second figure:

Statement 1: It is false

Statement 2: It is false

Statement 3: It is right

Step-by-step explanation:

First graph is not a function.

The domain of it is ⇒ 0 ≤ x < 3 , 3 < x ≤ 6 , 6 ≤ x < 9

From the domain ⇒ x = 6 has two corresponding values of y⇒ 3 and 4

∴ It is not a function because every x must have one and only one

corresponding value of y

Second figure

{(3 , 6) , (4 , 6) , (5 , 7) , (6 , 8) , (7 , 10) , (8 , 10)}

Statement 1: It is false because we use x-value to check function or not.

The relation is a function because every x-value has one corresponding

y-value

Statement 2: It is false because 3 ≤ x ≤ 8 means we will use for x all real numbers from 3 to 8 not only the integers 3 , 4 , 5 , 6, ,7 , 8

The domain of this function is { 3 , 4 , 5 , 6 , 7 , 8 }

Statement 3: It is right because the range is the y-value and all the y-value in the function are 6 , 7 , 8 , 10

5 0

3 years ago

Right ∆ABC has coordinates A(-7, 3), B( -7, 10), and C(-1, 3). The triangle is reflected over the x - axis and then reflected ag

Mrrafil [7]

Vertex A’ would be (7, -3)

7 0

3 years ago

Read 2 more answers

Kaylee found the surface area, in square inches of a rectangular prism by using formula. 2(5×3)+2(5×8)+2(3×8) What is the surfac

sladkih [1.3K]

Answer:

158

Step-by-step explanation:

Simplify the following:

2×5×3 + 2×5×8 + 2×3×8

5×3 = 15:

2×15 + 2×5×8 + 2×3×8

5×8 = 40:

2×15 + 2×40 + 2×3×8

3×8 = 24:

2×15 + 2×40 + 2×24

2×15 = 30:

30 + 2×40 + 2×24

2×40 = 80:

30 + 80 + 2×24

2×24 = 48:

30 + 80 + 48

| 8 | 0

| 4 | 8

+ | 3 | 0

1 | 5 | 8:

Answer: 158

6 0

3 years ago

Hi join ........................................................................................

Makovka662 [10]

Answer:

there is just dots. cant join anything.

5 0

3 years ago

A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice th

icang [17]

Answer:

The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

Step-by-step explanation:

let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

$D = \sqrt{l^2+w^2}$ ......[1]

As per the given statement we have;

Diagonal(D) = width + 2

and

$l = 2 \times w$ = 2w

Now, substitute these in [1] we have;

$\sqrt{(2w)^2+w^2} = w+5$

Squaring both the sides we get;

$4w^2+w^2 = (w+2)^2$

$5w^2 = w^2 + 4 + 4w$

$5w^2 -w^2 = 4w + 4$ or

$4w^2= 4w + 4$

Simplify:

$w^2-w-1 =0$ ......[2]

The quadratic equation is in the form of $ax^2+bx+c = 0$

the solution is given by: $x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}$

On comparing with [1] we get

a= 1 , b = -1 and c = -1

Then the solution is:

$w= \frac{-(-1) \pm\sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

$w =\frac{1 \pm\sqrt{1+4}}{2} = \frac{1 \pm\sqrt{5}}{2}$

Simplify:

$w \approx 1.62$ and $w \approx -0.62$

Then, the diagonal D = w+2

For $w \approx 1.62$

$D = 1.62 +2 \approx 3.62$

For $w \approx -0.62$

$D =-0.62 +2 \approx 1.38$

therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

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3 years ago