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never [62]
3 years ago
9

PLZ HALP I WILL MARK BRAILYEST NO LINKS OR DOWNLOADS PLZZZZZZZZZZZZZ

Mathematics
1 answer:
stellarik [79]3 years ago
3 0

Answer:

D.

Step-by-step explanation:

Least value = 22 and greatest = 30

Arrange in order:

22 22 23 23 24 25 26 27 28 30

So the median is the mean of the middle 2:

= (24+25)/2 = 24.5.

Also Q1 = 23 and Q3 = 27

So the correct  plot is D.

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Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in
pav-90 [236]
<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0
3 years ago
Solve 3x^2 6x=12 by quadratic formula
kari74 [83]
That would be x=0.87358
4 0
3 years ago
Let K and T be the current ages of two siblings, Katie and Thomas. Katie is currently twice the age of Thomas. In 6 years, Katie
Pavlova-9 [17]

Answer:

Katie is 6 years old and Thomas is 3 years old

Step-by-step explanation:

Given that we should let K and T be the current ages of two siblings, Katie and Thomas.

If Katie is currently twice the age of Thomas then,

K = 2T

and in  6 years, Katie will be 4 times Thomas's current age then

K + 6 = 4T

Solving both equations simultaneously by substituting the value of K given in the first equation into the second

2T + 6 = 4T

Collect like terms

6 = 4T - 2T

6 = 2T

Divide both sides by 2

T = 3

Recall that K = 2T

K = 2 * 3

= 6

Hence Katie is 6 years old while Thomas is 3 years old

6 0
2 years ago
Jackson bought 3 shirts costing $15.98, $19, and $24.50.How much money did he spend altogether?
marusya05 [52]

Answer:

Jackson spent $59.48 altogether

Step-by-step explanation:

15.98+19= 34.98

34.98+24.50= 59.48

6 0
2 years ago
Ariana is setting up a salt-water
trapecia [35]

Answer:

206.4

Step-by-step explanation:

we multiply 8.6*24 and get 206.4

we know this because 1 gallon is equal to 8.6 so we multiply both quantities and get 206.4

8 0
3 years ago
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