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3 years ago

Mhanifa can you please help? I will mark brainliest!

Mathematics

1 answer:

Rzqust [24]3 years ago

7 0

Answer:

Given function

h(x) = 2x - 1

#15 Find the inverse of h(x)

Substitute x with y and h(x) with x and solve for y:

x = 2y - 1
2y = x + 1
y = 1/2x + 1/2

The inverse is:

h⁻¹(x) = 1/2x + 1/2

#16 The graph with both lines is attached.

The x- and y-intercepts of both functions have reversed values.

#17 Table of the inverse function will contain same numbers with swapped domain and range.

Initial look is like this:

x | -3 | -2 | -1 | 0 | 1 | 2 | 3
h⁻¹(x) | -1 | | 0 | | 1 | | 2

The rest of the table is filled in by finding the values:

x | -3 | -2 | -1 | 0 | 1 | 2 | 3
h⁻¹(x) | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2

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the equation -2x^2+3=-9x is rewritten in the form of -2(x-p)^2 +q=0. What is the value of q?the equation -2x^2+3=-9x is rewritte

Novosadov [1.4K]

Value of q is $\frac{105}{8}$ .

Step-by-step explanation:

We have , the equation $-2x^2+3=-9x$ is rewritten in the form of $-2(x-p)^2 +q=0$ . We need to find What is the value of q . Let's find out:

Let's simplify equation $-2x^2+3=-9x$ into $-2(x-p)^2 +q=0$ :

⇒ $-2x^2+3=-9x$

⇒ $-2x^2+9x+3=0$

⇒ $2x^2-9x=3$

⇒ $2(x^2-\frac{9}{2}x)=3$

⇒ $(x^2-\frac{9}{2}x)=\frac{3}{2}$

⇒ $(x^2-2(1)\frac{9}{4}x)=\frac{3}{2}$

⇒ $(x^2-2(1)\frac{9}{4}x) + (\frac{9}{4})^2=\frac{3}{2} + (\frac{9}{4})^2$

⇒ $(x-\frac{9}{4})^2=\frac{3}{2} + (\frac{81}{16})$

⇒ $(x-\frac{9}{4})^2=\frac{24}{16} + (\frac{81}{16})$

⇒ $(x-\frac{9}{4})^2=\frac{105}{16}$

⇒ $-2(x-\frac{9}{4})^2=-2(\frac{105}{16})$

⇒ $-2(x-\frac{9}{4})^2=-\frac{105}{8}$

⇒ $-2(x-\frac{9}{4})^2+\frac{105}{8} = 0$

Comparing this equation to $-2(x-p)^2 +q=0$ , $q =\frac{105}{8}$ .

Therefore ,Value of q is $\frac{105}{8}$ .

8 0

3 years ago

For her birthday, Monica can invite 6 of her 15 student friends to join her at a theme park. If she chooses to invite friends at

andrew-mc [135]

Answer:

Step-by-step explanation:

There are a total of 15 student friends.

Monica wants to invite 6 of her friends.

The number of ways this can be done is:

$^{15}C_6=\dfrac{15!}{(15-6)!6!} \\=\dfrac{15!}{9!6!}\\\\=5005$

Therefore, the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen

$=\dfrac{1}{5005}$

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4 years ago

Jean's bedroom is 11 feet by 14 feet. She has chosen a carpet which costs $33.30 per square yard. This includes installation.

Allisa [31]

Answer:

The room will cost $569.80 to carpet.

Step-by-step explanation:

Recall that 1 square yard = 9 square feet.

The area of the bedroom, in square feet, is (11 ft)(14 ft) = 154 ft^2.

Converting this to square yards:

154 ft^2 1 yd^2

------------ * ------------ = 17.1 yd^2

1 9 ft^2

17.1 yd^2 $33.30

------------- * ------------- = $569.80

1 1 yd^2

The room will cost $569.80 to carpet.

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3 years ago

Six people come to a party and shake hands with each other.If each person shakes the hand of every other person,how many handsha

seropon [69]

12 because six people came to the party and you shake their hand

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4 years ago

Read 2 more answers

F(x) = x + 2 g(x) = x-4 (f g)(x) =

Yanka [14]

Answer:

f(g(x))=(x-4)+2

Step-by-step explanation:

Plug in the equation from g(x) into the x in f(x) and solve.

3 0

4 years ago