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marissa [1.9K]
3 years ago
11

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
ddd [48]3 years ago
7 0

Answer:

f'(x) = 4x^2 - 3 for x \le -3

Step-by-step explanation:

See attachment for proper question

Given

f(x) = -\frac{1}{2}\sqrt{x + 3}

For

x \ge -3

Required

Determine the inverse function

f(x) = -\frac{1}{2}\sqrt{x + 3}

Replace f(x) with y

y = -\frac{1}{2}\sqrt{x + 3}

Swap the positions of x and y

x = -\frac{1}{2}\sqrt{y + 3}

Multiply both sides by -2

-2 * x =-2 *  -\frac{1}{2}\sqrt{y + 3}

-2x =\sqrt{y + 3}

Square both sides

(-2x)^2 =(\sqrt{y + 3})^2

4x^2 =y + 3

Make y the subject

y = 4x^2 - 3

The inverse has been solved. So, we need to replace y with f'(x)

f'(x) = 4x^2 - 3

Next, is to determine the interval

x \ge -3

Change inequality to \le

x \le -3

Hence, the inverse function is:

f'(x) = 4x^2 - 3 for x \le -3

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Is lmn congruent to opq if so name the postulate
insens350 [35]

Answer:

Option (A)

Step-by-step explanation:

Given:

LM ≅ OP

MN ≅ PQ

∠M ≅ ∠P

To Prove:

ΔLMN ≅ ΔOQP

                   Statements                      Reasons

1). LM ≅ OP                                   1). Given

2). MN ≅ PQ                                 2). Given

3). ∠P ≅  ∠M                                3). Given

4). ΔLNM ≅ ΔOQP                      4). By the SAS postulate of congruence.

                                                         [Side - Angle - Side]                          

Therefore, Option (A) will be the answer.

5 0
3 years ago
Slove : 28/36 = 14/y
Dafna1 [17]

Answer:

y = 18

Step-by-step explanation:

<h3><u>i</u><u>)</u><u> </u><u>redu</u><u>ce</u><u> the</u><u> fraction</u><u> </u><u>with</u><u> </u><u>4</u></h3>

\frac{28}{36}  =  \frac{14}{y}

\frac{28 \div 4}{36 \div 4}  =  \frac{14}{y}

\frac{7}{9}  =  \frac{14}{y}

<h3><u>ii</u><u>)</u><u> </u><u>simpl</u><u>ify</u><u> the</u><u> </u><u>eq</u><u>uation</u><u> </u><u>with</u><u> </u><u>cross</u><u> </u><u>multiplication</u></h3>

\frac{7}{9}  =  \frac{14}{y}

7y = 14 \times 9

7y = 126

<h3>iii) <u>divi</u><u>de</u><u> both</u><u> sides</u><u> of</u><u> the</u><u> equation</u><u> </u><u>by</u><u> </u><u>7</u></h3>

<u>\frac{7y}{7}  =   \frac{126}{7}</u>

<u>y = 18</u>

7 0
3 years ago
Read 2 more answers
Can you help me with this one
exis [7]
5 is b and 1 is a
1 is A because just change the x value with the number in the table for x and see if y matches like
Y=-2x+6
Y=-2*1 + 6
4 =-2*1+6

And for 5
Day is x, y is depending on x and your going to add .4 to everything. But it’s growing .2 every day so it’s
Y=0.2x+0.4

I hope this helps you if I’m not right please tell me so if other people use those they know I’m wrong if I am. I don’t think so thou. If not please give me brainiest. Thank you!!
Have a nice night.
- Pam Pam
7 0
3 years ago
Read 2 more answers
A line passes through the point (-3,-3) and had a slope of 1/2, what equation is the line?
azamat

Answer:

y + 3 = 1/2(x + 3)

Step-by-step explanation:

Point Slope Form: y - y1(y coordinate) = m(slope)(x - x1(x coordinate))

4 0
2 years ago
After 4 new students joined a class, the class had 32 students. Which equation can be used to find n, the number in the class be
Vadim26 [7]

Answer:

n+4=32

Step-by-step explanation:

The initial number n gets additional 4 students making the new total number of students to be 32. Therefore, this situation can be represented as

n+4=32

To get the actual number of students before the additio, we make n the subject of formula hence

n=32-4

n=28

Therefore, the initial number was 28 and the equation is n+4=32

Since no choices were provided, the equation that can be modified is n+4=32

8 0
3 years ago
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