Pls help! 100 points and im giving brainliest!! Plss help fast!!

Mathematics

1 answer:

Gnoma [55]2 years ago

6 0

Answer:

A. the first one is true because when x = 5, 4x - 1 equals 19. The second inequality doesn't allow for it to equal 19.

B. 9 is the value that makes the equation true. See below for work to show.

Step-by-step explanation:

4x -1 </= 19 is true because it's "less than or equal to" and when you change the x to 5, the answer is exactly 19. 4(5) - 1 = 19. The other sentence is "4x - 1 is less than 19", and that means it can't equal 19 for that sentence to be true.

Math + words = confusion sometimes. Does that make sense?

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Now let's solve

5x + 2 = 47

Subtract 2 from both sides

5x = 45

divide both sides by 5

x = 9

Please lmk if you have questions.

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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$