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2 years ago

Solve for d 3d - 8 = 7

Mathematics

1 answer:

taurus [48]2 years ago

4 0

Answer:

The Value of d is 5.

Step-by-step explanation:

Given:

$3d-8=7$

We need to solve for d

Hence for solving for the term d we get;

$3d-8=7$

Now we will use Addition property for equality and add both side by 8 we get;

$3d-8+8=7+8$

$3d=15$

Now we will use Division property for equality and Divide both side by 3 we get;

$\frac{3d}{3}=\frac{15}{3}\\$

$d=5$

Hence the Value of d is 5.

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Find the value of the expression:<br> x(x-y)-y(y^2-x) for x=4 and y=2

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Replacing x by 4 and y by 2, it is found that the value of the expression is of 8.

The expression given is:

$x(x - y) - y(y^2 - x)$

We want to evaluate it for x=4 and y=2, hence, we replace x by 4 and y by 2, then:

$4(4 - 2) - 2(2^2 - 4) = 4(2) - 2(0) = 8$

The value of the expression is of 8.

A similar problem, in which the objective is finding the value of an expression, is given at brainly.com/question/19548262

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2 years ago

Angle sum theory find Y

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<h3>Answer:</h3>

<h3>Step-by-step explanation:</h3>

The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.

Finding X

To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.

Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.

Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.

115 + x = 180

By subtracting 115 from both sides we know that x = 65.

Solving for Y

Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.

Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.

Lastly, we can create a formula to find y with the angle sum theory.

90 + 65 + y = 180

Combine like terms

155 + y = 180

Subtract 155 from both sides

y = 25

This means that the angle y is 25 degrees.

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1 year ago

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Step2247 [10]

Answer:

Step-by-step explanation:

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2 years ago

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Can u help me ASAP. i need to know how to do it step by step

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Answer:

Step-by-step explanation:

$f(x) =4x^3-8x^2+ax+b$ has a factor $2x-1$ and

when divided by $x+2$ , remainder is 20.

To find:Remainder when divided by (x-1) ?

Solution:

$2x-1$ is a factor

$2x - 1 = 0 \Rightarrow x = \frac{1}{2}$ when we put this value of x to the function, it will become 0.

i.e.

$\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)$

Remainder is 20 when f(x) is divided by $x+2$

i.e.

$f(-2) =20$

$\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)$

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

$5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}$

By equation (1):

$a+2(18) = 3\\\Rightarrow a = -33$

So, the equation becomes:

$f(x) =4x^3-8x^2-33x+18$

$\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}$

So, when divided by (x-1), remainder will be <em>19</em>.

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