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3 years ago

Given the function f(x) = 8(x − 4) − 18, determine the value of x such that f(x) = 22

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

5 0

Answer:

c. 9

Step-by-step explanation:

1. The starting equation to find f(22) is 22=8(x-4)-18

2. Next, distribute(multiply) the 8 to the x and -4 which would make the equation 22=8x-32-18

3. After that, combine the like terms (-32-18) which would give us 22=8x-50

4. Now, we can also combine the 22 and the -50 but they are on different sides of the equation. So, we have to move the -50 to the left side of the equation by adding 50 to both sides which would cancel -50 on the right side, thus "moving" it to the left side which would give us 72=8x

5. Lastly, we have to isolate x right? so to get rid of the 8, you divide both sides by 8 since 8 is multiplying with x which would give us 9=x

*If you are allowed to use a graphing calculator, you can put the equation into the graph by hitting the y= button and going to the table (2nd, Graph). This makes everything 100x easier.

Your welcome :)

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What is 40+56 in GCF

KengaRu [80]

The GCF stands for greatest common factor. To represent a sum by its GCF we need to use the distributive property and we need to first find the GCF of the numbers. Let's break each number by its factors:

$\begin{gathered} 40=2\cdot2\cdot2\cdot5 \\ 56=2\cdot2\cdot2\cdot7 \end{gathered}$

We now multiply the numbers that appear on both.

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1 year ago

If the measure of an angle 38 , find the measure of its complement

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3 years ago

What is factorisation

liubo4ka [24]

Factorization is a method of writing numbers as the product of their factors or divisors.

Solution:

Factorisation:

Factorization is a method of writing numbers as the product of their factors or divisors.

In other words we can say, Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

Methods of factorisation:

Factoring out the GCF

The sum-product pattern

The grouping method

The perfect square trinomial pattern

The difference of squares pattern

Factoring out the GCF:

This methods means that factoring out common factors

For example:

$12x^2 + 3x = 3x(4x + 1)$

This can be used when each term in given expression shares a common factor

The sum-product pattern

A quadratic equation may be expressed as a product of two binomials

For example:

$x^2 + 7x + 12 = (x + 3)(x + 4)$

This method can be used for quadratic equations of form $ax^2 + bx + c = 0$

The grouping method

If the polynomial is of the form $ax^2 + bx + c$ and there are factors of ac that add up to b , we can use this method

For example:

$2x^2 + 7x + 3\\\\2x^2 + 6x + 1x + 3\\\\2x(x + 3) + 1(x + 3)\\\\(x + 3)(2x + 1)$

The perfect square trinomial pattern

If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method

For example:

$x^2 + 10x + 25\\\\(x + 5)^2$

The difference of squares pattern

If the expression represents a difference of squares, we can use this method

Because $a^2 - b^2 = (a + b)(a - b)$

For example:

$x^2 - 25\\\\x^2 - 5^2\\\\(x + 5)(x - 5)$

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3 years ago

Vee need Halp! Do nine Both of the questions

goldfiish [28.3K]

Answer:

There are countless ways in which geography affects people. It is a key factor in influencing the way of life of people in a given region. Local resources determine the food people eat which in turn influences the overall health and nutrition of a population. Sure, food from other regions is often imported, but often a region's cuisine is determined by what is readily and affordably available and what has been traditionally consumed for generations.

Natural resources of a geographic area also play a role in the local economy. For instance, a region with ample petroleum reserves can grow wealthy off of this by exporting it to regions that lack such reserves. Take a look at the United Arab Emirates, for instance. A century ago, this country was little more than a backwater. Then, after the global need for petroleum surged, it has steadily grown into one of the wealthiest nations on the planet.

Strategic geographic locations also affect the people who live there. The tiny nation of Singapore is wealthy because it lies along an important shipping route. The Poles have endured repeated invasions and conquests because they inhabit a country with few natural defensive barriers in between other strong nations.

Geography plays a part in someone's relationship with the physical environment. Rising ocean levels are threatening to displace people who live in low lying coastal areas. People who live in temperate climates must adapt to changing seasons several times a year while those in the tropics do not.

Sometimes being situated near many other cultures affects the culture of the place itself. The island of Taiwan, for instance, has been influenced by the Chinese and Japanese as a result of various conquests and migrations which has given it a culture all its own. On the other hand, more isolated peoples in places like far-flung Polynesian islands or Madagascar have developed cultures more endemic to their location.

Many more examples could be given considering that geography is a vast field with a multitude of ramifications. Suffice it to say, that nobody on earth is immune from the influence of their geography.

Step-by-step explanation:

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3 years ago

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Can someone help me with this question?

arlik [135]

Try this solution:

1. m∠A=m∠L; m∠B=m∠M and m∠C=m∠N;

2. m∠B=m∠M=35° and m∠C=m∠N=95°;

3. m∠A=m∠L=180°-(m∠B+m∠C)=180-35-95=50°

answer: 50°

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3 years ago