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3 years ago

Solve the equation |x – 4| = 4.

Mathematics

2 answers:

ankoles [38]3 years ago

7 0

The answer is x = 8,0

hope this helps!

djverab [1.8K]3 years ago

5 0

Answer:

x = 0 and 8

Step-by-step explanation:

|x – 4| = 4 <-- separate it into 2 equations since it's an absolute value and there would be 2 answers (one number as positive and one number as negative)

--------------------------------------------------------

x – 4 = 4 <-- postive

+ 4 = + 4

x = 8

---------------------------------------------------------

x – 4 = - 4 <-- negative

+ 4 = + 4

x = 0

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8(4x-4)=-5x-32 and -8(-8x-6)=-6x-22<br> With steps

Otrada [13]

$x = 0 \\ x = - 1$

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3 years ago

10) Cynthia is shopping for a new camera. It costs $549.95. If she has a 15% off coupon and $500 saved up, how much will the cam

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Answer:

$506.03

Step-by-step explanation:

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4 years ago

Read 2 more answers

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

Lerok [7]

Answer:

Q1 - D. f(x) = $x^4-9x^2-50x-150$

Q13 - A. ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

Q14 - A. $7x+6+4x^{2}$

Step-by-step explanation:

Question 1:

We know that rational roots always occurs in pairs. So, the zeros of the function will be 5, -3, -1+3i, -1-3i

So, the factored form is $(x-5)(x+3)(x+1-3i)(x+1+3i)=0$

i.e. $(x^2-2x-15)(x+1-3i)(x+1+3i)=0$

i.e. $(x^3-x^2-3ix^2-17x+6ix-15+45i)(x+1+3i)=0$

i.e. $x^4-9x^2-50x-150=0$

Hence, the polynomial function is $f(x)=x^4-9x^2-50x-150$ .

Question 13:

Rational Zeros Theorem states that 'If p(x) is a polynomial with integer coefficients and if $\frac{p}{q}$ is a zero of p(x) = 0. Then, p is a factor of the constant term of p(x) and q is a factor of the leading coefficient of p(x)'.

Let, $\frac{p}{q}$ is a zero of $x^3-7x^2+9x-24=0$ . Then, p is a factor of -24 and q is a factor of 1.

Thus, possible values of p = ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24 and q = ±1

This gives, possible values of $\frac{p}{q}$ are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

Question 14:

We have, f(x) = 7x + 6 and g(x) = $4x^{2}$

Then, (f+g)(x) = f(x) + g(x) = 7x + 6 + $4x^{2}$

So, (f+g)(x) = $7x+6+4x^{2}$

6 0

4 years ago

What is the point of intersection of x-2y=8 and y=2- 1/2 x

Alex777 [14]

There are several ways you can go about solving this. The easiest way is to graph it with desmos. But I'll show you how to do it algebraically.

So what it means when it says the point of intersection is what is the ordered pairs.

Well we can do this using substitution since that might be easier

So since y = 2 - 0.5x we can substitute it into x - 2y = 8
That gets us:

x - 2(2 - 0.5x) = 8

Next distribute the -2:

x -4 + x = 8

Combine like terms and solve for x!

2x = 12
x = 6

Now substitute x into any of our y = 2 - 0.5x so we get

y = 2 - 0.5(6)

y = -1

So our answer is (6,-1)

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3 years ago

Solve the following linear equation 3 1/x 5 1/4=17 1/2

Delvig [45]

Answer:

Step-by-step explanation:

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3 years ago