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2 years ago

Which graph represents the solution set of this inequality?12b - 15 > 21

Mathematics

2 answers:

Westkost [7]2 years ago

7 0

Answer:

An open circle line going passed and from 3 that way --->

Step-by-step explanation:

Add 15 to both sides

12b > 36

Divide 12 to both sides

b > 3

wolverine [178]2 years ago

5 0

Answer:

It will be an open circle going pass the 3 like this

o---------------------------------------------------------------->

Step-by-step explanation:

12b - 15 > 21

add 15:

12b - 15 > 21

+ 15 + 15

So now it's:

12b > 36

Now divide by 12:

12b > 36

/12 /12

And now your answer is:

b > 3

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yan [13]

Answer:

Step-by-step explanation:

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2 years ago

Brandon has a garden in his backyard. He picked 66 tomatoes from 6 tomato plants. What is the ratio of tomato plants to tomatoes

Makovka662 [10]

The answer is 1:11. After it being simplified from 6:66. Hope this helps.

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3 years ago

Read 2 more answers

Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0

3 years ago

Kendall had $1000 in a savings account at the beginning of the semester. She has a goal to have at least $350 in the account by

USPshnik [31]

Answer:

11 weeks

Step-by-step explanation:

First we need to check what variables we have.

Beginning Balance = $1000

Goal = $350

Withdrawal = $55 per week

Now let's declare a variable as the number of weeks.

Let x = number of weeks

1000 - 55x = 350

-55x = 350-1000

-55x = -650

Then we divide both sides by -55 to find the value of x.

x = 11.81 or 11 since we're looking for how many weeks in total

Now let's see if we still have 350 if we have a total of 11 as the value of x.

1000 - 55(11) = 350

1000 - 605 = 350

395 = 350

We can see that Kendall will have $395 compared to the $350 goal.

So Kendall can withdraw $55 a week for 11 weeks to still be within her goal of having $350 in her savings account.

6 0

3 years ago

Help me find the range and width!

Alik [6]

The range of the data is 93

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2 years ago