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inessss [21]
3 years ago
11

if

6" align="absmiddle" class="latex-formula"> were shifted 7 units to the right and 3 down, what would be the new equation.
Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0
Answer: h(x) = (2x - 14)^2 - 19

This will take the vertex from (0,-16), the original equation, to (7,-19), the new equation. This demonstrates the x-value increasing by 7, moving right on the coordinate plane, as well as the y-value decreasing by -3, going down on the coordinate plane.
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The ratio of girls to total students is 5 to 8 if there are 24 total students how many are boys
Bezzdna [24]
There are 15 boys out the 24 total students
5 0
3 years ago
Find the distance between points M and N.<br>M= (3,-2)<br>N= (5,-6)​
MaRussiya [10]

Answer:

12

Step-by-step explanation:

The formula for distance between points is \sqrt{(x.2-x.1)^{2} +(y.2-y.1)^{2}

So when you inserts the coordinates in this formula, it would be \sqrt{(-2-3)^2+(-6-5)^2}

\sqrt{(-5)^2+(-11)^2}

\sqrt{25+121}

\sqrt{146}

=12.08305

Usually, distance is round to whole number. So, it would be 12

4 0
3 years ago
According to records from 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the probabil
Brrunno [24]

Record of june temperature of last 50 years

Probability of June temperature being above 80° F from last 50 years

                      =\frac{2}{3}

It means , out of 30 days ,there are  only 20 days , in which temperature is above 80°F.

⇒Probability that it will be above 80° F for 20 or more days this June

                =\frac{20+x}{30}  

where, x is the number of extra days after 20 days in month of june, when temperature is above 80°F.

Value of this Probability will be in between

                \frac{2}{3}\leq P \leq 1  

Now, what Azul wants

 To find the probability that it will be above 80° F for 20 or more days this June.

The Simulation given is

  ⇒There are 30 days in June. If we use a number cube with the numbers 1-6 and assign 1-4 as a temperature above 80° F and 5-6 as a temperature 80° F or below.

Total number of numbers on number cube ={1,2,3,4,5,6}

Favorable Outcome={1,2,3,4}=Temperature above 80° F

Temperature 80° F or below ={5,6}

⇒Probability of getting number {1,2,3,4} on the number cube when rolled once,that is Temperature above 80° F

        =\frac{4}{6}\\\\=\frac{2}{3}

⇒Probability of getting number {5,6} on the number cube when rolled once, that is Temperature 80° F or below

        =\frac{2}{6}\\\\=\frac{1}{3}

This is Incorrect Simulation, as there are chances that , there can be more than 20 days out of 30 days when Temperature goes above 80° F.But Here we have got Probability of temperature being above 80° F for 20 days only, not more than 20 days, which is =\frac{2}{3}

Not,a number

    \frac{2}{3}< \text{Probability} \leq 1.    

4 0
3 years ago
5k + 9 = 89.............
blsea [12.9K]

Answer:

k= 16

Step-by-step explanation:

89-9=80

80/5=16

16=k

5 0
2 years ago
Read 2 more answers
The perimeter of a rectangle is 30 in. if its lenth is 3 times the width, find the deminsions​
MAXImum [283]

Step-by-step explanation:

2w+3(2w)=30

8w=30

w=3.75

l=11.25

7 0
3 years ago
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