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1 year ago

7

Please help. its on zearn name the coordinates of each shape

2 answers:

Allisa [31]1 year ago

7 0

Answer:

circle: 2, 1/2

square: 1 1/2, 3 1/2

triangle: 0, 4 1/2

ivanzaharov [21]1 year ago

3 0

Answer:

Square X-coordinate: 1 and 1/2

Square Y-coordinate: 3 and 1/2

Triangle X-coordinate: 0

Triangle Y-coordinate: 4 and 1/2

Step-by-step explanation:

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Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$

Viefleur [7K]

QUESTION 1

Given that:

$f(x)=2x^2+3x-9$ ,

$g(x)=5x+11$ ,

and

$h(x)=-3x^2+1$

Then;

$f(x)-g(x)+h(x)=2x^2+3x-9-(5x+11)+(-3x^2+1)$

$f(x)-g(x)+h(x)=2x^2+3x-9-5x-11-3x^2+1$

Group similar terms;

$f(x)-g(x)+h(x)=2x^2-3x^2+3x-5x-11-9+1$

Simplify;

$f(x)-g(x)+h(x)=-x^2-2x-19$

QUESTION 2

Given that;

$f(x)=4x-7$ .

$g(x)=(x+1)^2$

and

$s(x)=f(x)+g(x)$

Substitute the functions;

$s(x)=4x-7+(x+1)^2$

Substitute x=3

$s(3)=4(3)-7+(3+1)^2$

$s(3)=12-7+(4)^2$

$s(3)=5+16$

$s(3)=21$

QUESTION 3

Given:

$f(x)=3x+2$

$g(x)=x^2-5x-1$

$f(g(x))=f(x^2-5x-1)$

This implies that;

$f(g(x))=3(x^2-5x-1)+2$

Expand the parenthesis;

$f(g(x))=3x^2-15x-3+2$

$f(g(x))=3x^2-15x-1$

QUESTION 4

The given function is;

$f(x)=3(x-6)^2+1$

Let

$y=3(x-6)^2+1$

$\Rightarrow y-1=3(x-6)^2$

$\Rightarrow \frac{y-1}{3}=(x-6)^2$

$\Rightarrow \sqrt{\frac{y-1}{3}}=x-6$

$\Rightarrow x=6+\sqrt{\frac{y-1}{3}}$

The range is:

$\frac{y-1}{3}\ge0$

$y-1\ge0$

$y\ge1$

The interval notation is;

$[1,+\infty)$

6 0

3 years ago

A school concert has students tickets for $7 and nonstudents tickets for $12. If the school made $1973 selling 214 tickets? How

bearhunter [10]

Answer:

119 student tickets and 95 non-student tickets

Step-by-step explanation:

I did a trial-and-error solution.

I started with 107 students and 107 non-students:

(107*$7)+(107*$12) = $2033

It was too high, which tells us that there should be more who paid for the cheaper price.

I ended up with 119 and 95:

(119*$7)+(95*$12) = $1973

8 0

2 years ago

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Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of juice to mags. How much is left in luna

Anuta_ua [19.1K]

Answer:

$\frac{1}{2} \: cup \: of \: juice$

Step-by-step explanation:

See the attached picture for explanation.

5 0

2 years ago

7 hundreds times ten equals

GaryK [48]

70 is 7 times 10 man

5 0

2 years ago

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I really need this problem solved quick!

olchik [2.2K]

10000 is the answer

hope it helps

7 0

3 years ago

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