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patriot [66]
3 years ago
5

Let g(x)=x-3 and h(x)=x^2+6 find (h o g) (1)

Mathematics
2 answers:
cupoosta [38]3 years ago
5 0
g(x)=x-3 \ \ \ and\ \ \  h(x)=x^2+6 \\\\(h \circ  g) (1)=h\bigg (g(1)\bigg)=h\bigg(1-3\bigg)=h(-2)=(-2)^2+6=4+6=10
Rudiy273 years ago
5 0
h \circ g=(x-3)^2+6=x^2-6x+9+6=x^2-6x+15
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Finally: y = 3x - 15.
4 0
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What is the slope-intercept form of the equation -3x + y=12
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8. In an isosceles triangle, angles B and C are called the ____________ angles.
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Solve Proportions In the following exercises, solve.
Julli [10]

Answer:

Thus, a golden retriever should be given 19 teaspoon of medicine.

Step-by-step explanation:

  • Given that a golden retriever weighing 85 pounds has diarrhea. His medicine is prescribed as 1 teaspoon per 5 pounds.
  • To find how much medicine should he be given.
  • Assign a variable. Write a sentence that gives the information to find it.
  • Translate into a proportion be careful of the units.
  • Multiply both sides by the  Least Common Denominator and simplify. Check the answer.

Step 1 of 3

Write the data in mathematical form and simplify.

Let x=the number of teaspoon

If 1  teaspoon medicine is 5  pounds then 85  pounds is how many teaspoon of medicine.

Translate the statement into proportion.

\begin{aligned}\frac{\text { pounds }}{\text { teaspoon }} &=\frac{\text { pounds }}{\text { teaspoon }} \\\frac{5}{1} &=\frac{85}{x}\end{aligned}

Step 2 of 3

Multiply both sides by x and simplify

$x(5)=\frac{85}{\bcancel{x}}(\bcancel{x})

5x=85

Divide by 5,

x=\frac{85}{5}

<em>Simplify, x=19</em>

<em>Step 3 of 3</em>

<em>Check the answer.</em>

<em>Substitute x=19  in original proportion and simplify.</em>

<em />$$\begin{aligned}\frac{5}{1} &=\frac{85}{x} \\5 &=\frac{85}{19}\end{aligned}$\\ \\ Hence, $5=5$, True

5 0
2 years ago
The radius of a circle is 10 m. find its area to the nearest whole number.
maria [59]

\rule{200}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}

<em>       The radius of a circle is 10 m. Find its area to the nearest whole number.</em>

<em />

<em />\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}

We're asked to find the area of the circle, which we can find using the following formula:-

\bold{Area_{(circle)}=\pi r^2}

Where:-

  • π = pi         [3.14...]
  • r=radius (10 m)

<h3>What we need to do to find the area:-</h3>

\dagger Substitute 10 for r and 3.14 for π:-

\hookrightarrow\sf{A=3.14\times(10^2)}

\bigstar On simplification,

\bold{A=3.14\times100}

\bigstar On further simplification,

\bold{A=314}

\bigstar The Area is:-

\bold{A=314\:m^2}

\square\!\!\!\!\!\!\bigstar Note:- Area is always measured in units² (units squared)

<h3>Good luck with your studies.</h3>

\rule{300}{3}

3 0
2 years ago
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