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2 years ago

What is the value of b(10) when b(x)=|3-x|+1 ?

1 answer:

7 0

B(x) = |3-x|+1

b(10) means that we need to replace x by 10:
b(10) = |3-10|+1
As you can notice, 3-10 is between the lines of the absolute power. So if the answer is positive, you keep positive. If the answer is negative, you transform it to positive. |a| = a and |-a| = a. So |a|=|-a|.
So |3-10| = |-7| = |7| = 7.

b(10) = |3-10|+1 = 7 + 1 = 8.

So the value of b(10) when b(x)=|3-x|+1 is 8.

Hope this Helps! :)

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I need help with my pre-calculus homework, please show me how to solve them step by step if possible. The image of the problem i

Anna [14]

We know that the law of sines states that:

$\frac{\sin\alpha}{a}=\frac{\sin\beta}{b}$

For simplicity, let:

$\beta=m\angle A_1BC$

In triangle A1BC this leads to:

$\begin{gathered} \frac{\sin31}{5}=\frac{\sin\beta}{6} \\ \sin\beta=\frac{6}{5}\sin31 \\ \beta=\sin^{-1}(\frac{6}{5}\sin31) \\ \beta=38.174 \end{gathered}$

Therefore:

$m\angle A_1BC=38.174$

Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have:

$m\angle CA_2B=180-38.174=141.826$

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1 year ago

there are 3/4 as many boys as girls in a class of fifth-graders if there are 35 students in the class how many a

Arlecino [84]

Alright so turn 3/4 into a decimal.
3/4 =.75

We need to set up an equation. To do that are need to give boys and girls their own variables.

Girls= X

And since there is 3/4 as many boys
Boys=. 75X

Now we know the sum of boys and girls equals 35
X+.75X=35

X+.75X=1.75X
Now we have 1.75X=35

Divide by 1.75 and get
20=X

Now plug 20 into the equations got from before.
Boys =. 75*X = 20 *. 75 = 15
Girls = X =20

Your Answer:
15 boys
20 girls

You can check
20+15=35
15/20=3/4

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3 years ago

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max2010maxim [7]

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2 years ago

The ratio table shows the costs for different amounts of bird seed. Find the unit rate in dollars per pound.

Maru [420]

Answer:

2.3 dollars

Step-by-step explanation:

Given:

Ratio table that shows the costs for different amounts of bird seed

To find: the unit rate in dollars per pound

Solution:

Amount (pounds) 5 10 15 20

Cost (dollars) 11.5 23 34.50 46

Here,

$\frac{5}{11.5}=\frac{50}{115}=\frac{10}{23}\\\\\frac{10}{23}=\frac{10}{23}\\\\\frac{15}{34.50}=\frac{1500}{3450}=\frac{150}{345}=\frac{30}{69}=\frac{10}{23}\\\\\frac{20}{46}=\frac{10}{23}$

Therefore,

$\frac{5}{11.5}=\frac{10}{23}=\frac{15}{34.50}=\frac{20}{46}$

Cost of 10 pounds = 23 dollars

So, cost of 1 pound = $\frac{23}{10}=2.3$ dollars

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3 years ago

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Korolek [52]

Answer:

33) $8440

34) $67,964.62

Step-by-step explanation:

33) The interest on 1 for 270 days is ...

... I = Prt = 1×0.09×(270/360) = 0.0675

so the proceeds from a loan with a face value of 1 will be

... 1 - 0.0675 = 0.9325

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... P = $7870.30/0.9325 = $8440

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... I = Prt = 70,000×0.063×(24/52) ≈ 2035.38

Then the amount Smith will pay for the T-bill is ...

... $70,000 -2035.38 = $67,964.62

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3 years ago