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3 years ago

Question 6 of 10

Mathematics

2 answers:

ElenaW [278]3 years ago

6 0

150,000

This is the answer for apex!!!

slega [8]3 years ago

6 0

Answer:150,000

Step-by-step explanation:

Apex

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What is the vertex of the graph of y = 1/3 (x-9)2 + 5 Question 1 options: (9,5) (3,3) (3,5) (-9,5)

svlad2 [7]

ANSWER

The vertex of the graph of
$y = \frac{1}{3} {(x - 9)}^{2} + 5$
is

$(9,5)$

EXPLANATION

The vertex form of a parabola is given by

$y = a {(x - h)}^{2} + k$

where
$V(h,k)$
is the vertex of the parabola.

The function given to us is

$y = \frac{1}{3} {(x - 9)}^{2} + 5$
This is already in the vertex form.

When we compare this to the general vertex form, we have,

$a = \frac{1}{3}$

$h = 9$
and

$k = 5$

Therefore the vertex of the parabola is

$V(9,5)$

Hence the correct answer is option A.

7 0

3 years ago

Read 2 more answers

ALGEBRA QUESTION PLS HELPS

cluponka [151]

The value of x is –7.

Solution:

Given expression:

$$\left(\frac{1}{x+3}+\frac{6}{x^{2}+4 x+3}\right) \cdot \frac{x+3}{x+1}$

Let us factor $x^2+4x+3$ .

$x^2+4x+3=(x+1)(x+3)$

Substitute this in the fraction.

$$\left(\frac{1}{x+3}+\frac{6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}$

To make the denominator same, multiply and divide the first term by (x +1).

$$\left(\frac{(x+1)}{(x+1)(x+3)}+\frac{6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}$

Denominators are same, you can add the fractions.

$$\left(\frac{x+1+6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}$

$$\frac{x+7}{(x+1)(x+3)} \cdot \frac{x+3}{x+1}$

Cancel the common term in the numerator and denominator.

$$\frac{x+7}{x+1} \cdot \frac{1}{x+1}$

Multiply the fractions.

$$\frac{x+7}{(x+1)^2}$

$$\frac{x+7}{x^2+2x+1}$

The expression is simplified to one rational expression.

Suppose the expression is equal to 0.

$$\frac{x+7}{x^2+2x+1}=0$

Do cross multiplication.

$${x+7}=0\times (}{x^2+2x+1})$

Any number or variable multiplied by 0 gives 0.

$${x+7}=0$

Subtract 7 from both sides of the equation.

$${x+7-7}=0-7$

x = –7

The value of x is –7.

7 0

3 years ago

At the movie theatre, child admission is $5.10 and adult admission is $9.00 .

sveticcg [70]

Answer:

$5.10 X +9.00 Y = 831.60$

We also know that for Wedneday we have two times tickets for adults compared to child so we have

$Y =2x$

And using this condition we have:

$5.10 X + 18 X = 831.60$

And solving for X we got:

$X= \frac{831.60}{23.1}=36$

So then the number of tickets sold for child are 36

Step-by-step explanation:

For this problem we can set upt the following notation

X = number of tickets for child

Y= number of tickets for adults

And we know that the total revenue for Wednesday was 831.60. So then we can set up the following equation for the total revenue

$5.10 X +9.00 Y = 831.60$

We also know that for Wedneday we have two times tickets for adults compared to child so we have

$Y =2x$

And using this condition we have:

$5.10 X + 18 X = 831.60$

And solving for X we got:

$X= \frac{831.60}{23.1}=36$

So then the number of tickets sold for child are 36

8 0

3 years ago

30 points!!!!!

dlinn [17]

HELLO...!!

Diagonal = ?
Wide = 20 in.
High = 15 in.

Pythagoras formula: D² = H² + W²

$D^2=(15)^2+(20)^2\\ \\D^2=225+400\\ \\D^2=625\\ \\D= \sqrt{625}\\ \\D=25\ in.\quad\Longrightarrow\boxed{\boxed{\mathbb{ANSWER\ \checkmark}}}\\ \\ \\\textbf{HOPE\ THIS\ HELPS...!!}$

6 0

3 years ago

Which expression is equivalent to (73)-2

padilas [110]

Answer:

73*-2 =-146 you have to multiply the 73 to the -2

Step-by-step explanation:

6 0

3 years ago