All categories

2 years ago

The vertex of the parabola is at (-3,-2) which of the following could be its equation

Mathematics

2 answers:

Pepsi [2]2 years ago

7 0

Answer: D;x=-2(y+2)^2-3

Step-by-step explanation: since,(-3,-2) is the vertex of parabola this means that when y=-2, x must be equal to -3

but this is true only in D part

ki77a [65]2 years ago

3 0

D;x=-2(y+2)^2-3 is the equation

You might be interested in

The number of bacteria in a petri dish on the first day was 113 cells. If the number of bacteria increase at a rate of 82% per d

Tresset [83]

Answer:

4107 cells

Step-by-step explanation:

From the question, we have the following values:

Day 1 : 113 cells

Number of cells increases by day by 82%

Hence,

Day 2

113 × 82% = 92.66cells

Hence, Total number of bacteria cells for Day 2 = 113 + 92.66 = 205.66cells

Day 3

205.66 × 82% = 168.6412 cells

Hence, Total number of bacteria cells for Day 3 = 168.6412 + 205.66 = 374.3012 cells

Day 4

374.3012 × 82% = 306.926984 cells

Hence, Total number of bacteria cells for Day 4 = 306.926984 + 374.3012 = 681.228184 cells

Day 5

681.228184 × 82% = 558.60711088 cells

Hence, Total number of bacteria cells for Day 5 = 558.60711088 + 681.228184 = 1239.8352949 cells

Day 6

1239.8352949 × 82% = 1016.6649418 cells

Hence, Total number of bacteria cells for Day 5 = 1016.6649418 + 1239.8352949 = 2256.5002367 cells

Day 7

2256.5002367 × 82% = 1850.3301941 cells

Hence, Total number of bacteria cells for Day 7 = 1850.3301941 + 2256.5002367 = 4106.8304308 cells

Approximately to nearest whole number, the total number of bacteria cells that would be present after 7 days = 4107 cells

3 0

2 years ago

If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?

attashe74 [19]

Answer-

The value of y is 6 units.

Solution-

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

$\Rightarrow x-y=4$ --------------1

$\Rightarrow x-8=2$

$\Rightarrow x=10$ --------------------2

Putting the values of x in equation 1,

$\Rightarrow 10-y=4$

$\Rightarrow y=10-4=6$

Therefore, the value of y is 6 units.

7 0

2 years ago

Read 2 more answers

Milton is floating in an inner tube in a wave pool. He is 1.5 m from the bottom of the pool when he is at the trough of a wave.

posledela

This is the concept of sinusoidal, to solve the question we proceed as follows;
Using the formula;
g(t)=offset+A*sin[(2πt)/T+Delay]
From sinusoidal theory, the time from trough to crest is normally half the period of the wave form. Such that T=2.5
The pick magnitude is given by:
Trough-Crest=
2.1-1.5=0.6 m
amplitude=1/2(Trough-Crest)
=1/2*0.6
=0.3
The offset to the center of the circle is 0.3+1.5=1.8
Since the delay is at -π/2 the wave will start at the trough at [time,t=0]
substituting the above in our formula we get:
g(t)=1.8+(0.3)sin[(2*π*t)/2.5]-π/2]
g(t)=1.8+0.3sin[(0.8πt)/T-π/2]

3 0

2 years ago

A group of kids just finished trick-or-treating. The number of pieces of candy collected by each of the 5 kids

NemiM [27]

Answer:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808$

And the answer for this case would be :

$s= 3.81$ after round the value

Step-by-step explanation:

We have the following data set given:

31, 33, 36, 41, 34

If we want to find the standard deviation we need to find first the sample mean with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = \frac{31+33+36+41+34}{5}= \frac{175}{5}= 35$

Now we can find the sampel deviation with this formula:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808$

And the answer for this case would be :

$s= 3.81$ after round the value

6 0

2 years ago

140 fluid ounces increased by 45%

Leokris [45]

First divided 140 by 100 to find out how much 1 percent is
140 ÷ 100 = 1.4

multiply 1.4 by 45 to find 45 %; 1.4 x 45 = 63

then add 63, which is 45%, to 140, which is 100%, and you get 203, which is 140 + 45%, or 145%

please mark brainliest if this helped you. I hope it did!

4 0

2 years ago