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3 years ago

I am stuck on this question Work out : 5x 3/4

2 answers:

8 0

Okay so to figure out this problem you need to say 5/1 times 3/4 which equals 15/4 We know that we cant have an improper fraction so we divide this and it equals 3

ladessa [460]3 years ago

7 0

3 3/4 . You multiply the numerator and get the answer.

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If f x equals x -3 + g x equals 1 - x 2 - 9 find ( f og) (x and give any restrictions on its domain

evablogger [386]

$\begin{gathered} f(x)=x-3 \\ g(x)=\frac{1}{x^2-9} \\ (\text{fog)(x)}=\frac{1}{x^2-9}-3 \end{gathered}$

the denominator cannot be zero, because the division by zero is not defined, therefore:

$\begin{gathered} x^2-9=0 \\ \text{Solving for x:} \\ x^2=9 \\ \sqrt[]{x^2}=\sqrt[]{9} \\ x=\pm3 \end{gathered}$

Therefore the domain of (f o g)(x) is:

$D\colon(-\infty,-3)\cup(-3,3)\cup(3,\infty)$

3 0

11 months ago

Suppose that a rectangular picture is surrounded by a frame of uniform width of x

user100 [1]

Answer:

Ok so the area of the frame is 18*12 = 216cm^2

Let’s suppose the width of the frame is x

The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432

4x^2 + 60x + 216 = 432

4x^2 + 60x - 216 = 0

x^2 + 15x - 54 = 0

(x+18)(x-3) = 0

Therefore x = {-18,3}

Since width of the frame has to be positive, the width has to be 3cm Step-

i hope i helped!

3 0

2 years ago

Two more than eleven times a number is equal to 24. What is the number?

Luden [163]

Answer:

Step-by-step explanation:

24/ 11 = 2 2/11

so, we have 2 and 2/11

11x2 = 22 + 2 = 24

6 0

2 years ago

PLZ HELP find the y and x-intercepts. y=-2x+4 PLEASE EXPLAIN

SVEN [57.7K]

$\text{Given that,}\\\\y = -2x+4\\\\\text{Plug y= 0 to find the x-intercept,}\\\\0 = -2x +4\\\\\implies 2x = 4\\\\\implies x = \dfrac 42 = 2\\\\\text{So the x - intercept is (2,0)} \\ \\\text{Plug x =0 to find the y-intercept.}\\\\y = -2(0) +4 = 0 +4 = 4\\\\\text{So the y - intercept is (0,4)} \\$

5 0

2 years ago

After handing out the fudge, one of the students eats 1/2 of his fudge.How much of his fudge did the student eat?

BartSMP [9]

Answer:

the student ate 1/2

Step-by-step explanation:

4 0

2 years ago