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3 years ago

16. write an inequality for each graph

Mathematics

1 answer:

Harrizon [31]3 years ago

7 0

Answer:

Question 16

(a) x < 1 : the values of x are smaller than than 1 (e.g. possible values are 0, -1, -2, etc) and since the circle is not shaded it means that 1 isn't a possible value of x

(b) x $\geq$ -2 : the circle is filled therefore -2 is included in the answer

Question 17

(a) unfilled dot above -2 and arrow pointing to the left

(b) shaded circle above 4 with and arrow pointing to the right →

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Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.

sergeinik [125]

If 1 cup of that particular vanilla powder has a mass of 128 grams, then $\dfrac{2}{3}$ of a cup of vanilla powder has a mass of

$\dfrac{2}{3} \cdot 128=\dfrac{256}{3}=85\dfrac{1}{3}$ grams.

Since

$85\dfrac{1}{3}-32=53\dfrac{1}{3}$ grams and $\dfrac{5}{12}$ of a cup of vanilla powder is

$\dfrac{5}{12}\cdot 128=\dfrac{5\cdot 128}{12}=\dfrac{5\cdot 32}{3}=\dfrac{160}{3}=53\dfrac{1}{3},$

then correct answer is that he went over by $\dfrac{5}{12}$ of a cup.

Answer: correct choice is B.

3 0

3 years ago

Read 2 more answers

Write the expression in complete factored form. p(b + 9) - (b + 9) =

kvasek [131]

Answer:

(p-1)(b+9)

Step-by-step explanation: Both terms are a(b+9), but one term has a=p and the other is -1. So add them and get the answer

8 0

2 years ago

1. It costs $15.50 to buy 8 yards of material. How much

Levart [38]

Answer:

if you can split it in half its: $38.75

if you cant its: $46.50

Step-by-step explanation:

half:

1. 8+8+4=20

2. 15.50 divided by 2 = 7.75

3. 7.75 + 15.50 + 15.50 = 38.75

not half:

1. 8+8+8= 24

2. 15.50 times 3 = 46.50

8 0

3 years ago

Solve 73 make sure to also define the limits in the parts a and b

Aleks04 [339]

73.

$f(x)=\frac{3x^4+3x^3-36x^2}{x^4-25x^2+144}$

$\lim_{x\to\infty}f(x)=\lim_{x\to\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3$ $\lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\cdot\frac{1}{2}=3$

Since we can't divide by zero, we need to find when:

$x^4-2x^2+144=0$

But before, we can factor the numerator and the denominator:

$\begin{gathered} \frac{3x^2(x^2+x-12)}{x^4-25x^2+144}=\frac{3x^2((x+4)(x-3))}{(x-3)(x-3)(x+4)(x+4)} \\ so: \\ \frac{3x^2}{(x+3)(x-4)} \end{gathered}$

Now, we can conclude that the vertical asymptotes are located at:

$\begin{gathered} (x+3)(x-4)=0 \\ so: \\ x=-3 \\ x=4 \end{gathered}$

so, for x = -3:

$\lim_{x\to-3^-}f(x)=\lim_{x\to-3^-}-\frac{162}{x^4-25x^2+144}=-162(-\infty)=\infty$ $\lim_{x\to-3^+}f(x)=\lim_{x\to-3^+}-\frac{162}{x^4-25x^2+144}=-162(\infty)=-\infty$

For x = 4:

$\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$ $\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$

4 0

1 year ago

Correct answers gets most brainiest!! :)

podryga [215]

Hello :)

Answer: x=11

Measure angel BAD= 122

Explanation:

To find X you have to make an equation

10x-49=5x+6

And then you solve for x

To find the angel measure of BAD, you have to add bac and cab to get bad

Bac= 10(11)-49 which equals 61

Cab= 5(11)+6=61

61+61= 122

Which is the measure of BAD

I hope this helps and have a wonderful rest of your night

6 0

2 years ago