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3 years ago

-5(x-5)=2(-4x+5) find x step by step please

Mathematics

1 answer:

pychu [463]3 years ago

6 0

Answer: -5

Step-by-step explanation:

-5(x-5)=2(-4x+5)

-5x + 25 = -8x +10

3x +25 = 10 (add 8 from both sides)

3x = -15 (subtract 25 from both sides)

x = -5 (divide 3 from both sides)

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There were 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the health

OleMash [197]

32-n*470=? There’s 32 people and you subtract the n amount that couldn’t donate then multiply by 470

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3 years ago

Explain 15 is not a prime factor

MissTica

15 is not a prime factor as it is divided by 1,3,5 and 15.

Additional information:

Prime numbers are those numbers which can only be divided by itself .for instance:1,2,3,5,7 ,11,13 etc.

Composite number s are those numbers which can be also divided by other numbers,For instance: 4,6,8,10 etc

Hope it helps....

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3 years ago

How do I find the midpoint

Hunter-Best [27]

To find the midpoint of a line use the midpoint formula which is M = (x1+x2/2 , y1 +y2/2) After plugging in the coordinates for your variables you should get (-1+5/2, -1+2/2) This simplifies to (2, 1/2) which is the coordinates for the middle point of the base XY.

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3 years ago

With bases V1, V2 , V3 andw1, w2 , W3, suppose T(v1) = w2 and T(v2) = T(v3) = w1 + w3 . T is a linear transformation. Find the m

Roman55 [17]

Answer:

See picture and explanation below.

Step-by-step explanation:

With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.

A is defined as $T=([T(v_1)] [T(v_2] [T(v_3)])\text{ where }[T(v_i)]$ denotes the vector of coordinates of $T(v_i)$ respect to the basis (we can apply this definition because forms a basis for the domain of T).

The vector of coordinates can be computed in the following way: if $T(v_i)=a_1w_1+a_2w_2+a_3w_3$ then $[T(v_i)]=(a_1,a_2,a_3)^t$ .

Note that we have all the required information: $T(v_1)=0w_1+1\cdot w_2+0w_3$ then $[T(v_1)]=(0,1,0)^t$

$T(v_2)=T(v_3)=1\cdot w_1+0w_2+0w_3$ hence $[T(v_2)]=[T(v_3)]=(1,0,0)^t$

The matrix A is on the picture attached, with the multiplication A(1,1,1).

Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:

$T(v_1+v_2+v_3)=T(v_1)+T(v_2)+T(v_3)=w_2+w_1+w_1=w_2+2w_1$

In this last case, we can either use the linearity of T or multiply by A.

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3 years ago

A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun

bija089 [108]

Answer:

$3x^{3}+15x^{2}+x+5$

Step-by-step explanation:

We are told that the area of the bag can be represented by the function $f(x)=3x^{2} +1$ and as the bag is raised up its height can be represented by the function $g(x)=x +5$ .

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.

$\text{Volume of collapsible bag}=f(x)*g(x)$

$\text{Volume of collapsible bag}=(3x^{2}+1)*(x +5)$

After using distributive property we will get,

$\text{Volume of collapsible bag}=3x^{2}(x+5)+1(x+5)$

$\text{Volume of collapsible bag}=3x^{3}+15x^{2}+x+5$

Therefore, the collapsible bag can hold $3x^{3}+15x^{2}+x+5$ grain.

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3 years ago