Consider this quadratic equation.
x + 2x + 7 = 21
The number of positive solutions to this equation is
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is

Answer:

x = 5

Step-by-step explanation:

AB = CD, so x + 2 = 2x - 3

2 + 3 = 2x - x

x = 5

Answer:

13/50

Step-by-step explanation:

26% of 100 is 26/100 as a fraction.

These can both be divided by 2.

Once you divide both by two you end up with 13/50.

Answer:

26 green marbles

Step-by-step explanation:

There are 100 marbles in the jar.

100 marbles are 100%

26% of these marbles are green.

Just as there are 100 marbles, we need to find how many marbles are green.

Let us do it like that: let a be the actual number of green marbles.

Marbles           Percent

100                    100%

a                         26%

Let's find the ratio between 100% and 26% by doing 100/26 = 3.846153

We need to multiply 26 by 3.846153 in order to get to 100, right?

So same, I'll need to multiply a times 3.846153 in order to get 100.

3.846153 a = 100

divide both sides by 3.846153

a = 26 marbles

Therefore there are 26 green marbles.

Tell me if it helps you.

Answer:

1:25 pm

Step-by-step explanation:

20 minutes after 11:35 am would be 11:55 am, 1 hour and 15 minutes after 11:55 am would be 1:10 pm, and 15 minutes after 1:10 pm would be 1:25 pm.

Answer: See attached image

Step-by-step explanation:

[tex]\mathrm{The \ union \ of \ two \ intervals \ is \ the \ set \ of \ numbers \ which \ are \ in \ either \ interval:}[/tex]

[tex]x < 2\quad \mathrm{or}\quad \:x > -1[/tex]

See attached merged number line below:

The first number line is of x < 2

The second number line is of interval x > -1

The third number line is the merge of the overlapping intervals

Answer:

its just what the question says

Step-by-step explanation:

The maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000 is A. 42%.

The proportion shows the ratios of two or more variables.

While the maximum proportion show the highest ratio or percentage of a variable required to equate an expression.

Number of red roses procured for sale = 9,000

Selling price per stem = $8

Selling price per bouquet (12 stems) = $75

Cost per stem = $3

Last year's Valentine Day profit = $35,000

                                                      Stem       Boutique

Selling price                                    $8             $75

Cost per stem                                   3               36 ($3 x 12)

Contribution margin per unit         $5            $39 ($75 - $36)

Contribution margin per stem       $5            $3.25 ($39/12)

Weighted contribution margin  $22,500  $14,625 ($3.25 x 4,500)

Proportion                                                       42% ($14,625/$35,000 x 100)

Thus, the maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000 is A. 42%.

Learn more about proportions and ratios at https://brainly.com/question/12024093

Using the area of a circle, it is found that the area of the grass that will be watered is given by:

B. 800/9 pi ft^2

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex].

In this problem, a rotating sprinkler head sprays water as far as 20 feet, hence the radius is of r = 20 ft.

It covers a central angle of 80º, while an entire circle has 360º, hence the area of grass that will be watered corresponds to 80/360 = 2/9 of the area of the circle.

Hence the watered area in ft² is given by:

[tex]A = \frac{2}{9}\pi (20)^2 = \frac{800\pi}{9}[/tex]

Which means that option B is correct.

More can be learned about the area of a circle at https://brainly.com/question/17326298

Answer:

B. 800/9 pi ft^2

Step-by-step explanation:

2 feet: 3 inches

1 feet: 3/2 inches

4*5 feet: 3x4*5/2

=6.75 Inchea

Answer:

No

Step-by-step explanation:

The slope is -4/3, so it should start at y=8, then go down 4 and over (to the right) 3 units. So the next point would be (4, 3).

Answer:

Check the pic

Step-by-step explanation:

Answer:

5 x 5 = 25

20 + 5 = 25

50 ÷ 2 = 25

Step-by-step explanation:

Answer:

Direct proportion

Step-by-step explanation:

In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively

Answer:

14:8 and 21:12

Step-by-step explanation:

Equivalent fractions are fractions that look different but hold the same value. In this case, 7:4 = 14:8 = 21:12

Answer:

14:8, 28:16

Step-by-step explanation:

This could be anything. Ratios are like fractions; as long as you make changes to both sides, it will equal the same thing. So for the two examples I put, I simply multiplied both sides by 2 for the first one, and 4 for the second one.

But, you could multiply it by whatever you want, even negative numbers and fractions. However, I wouldn't try to complicate it, if the question didn't ask me to. Just keep to the easiest equivalents to make your life easier.

Hope this helps :))

Answer:

Please check attachment for graph

Step-by-step explanation:

B. With hawaii airline = -0.300

Without hawaii airline = 0.197

With hawaii airline

EX = 475.3

EY = 157.17

XY = 8042.11

X² = 26883.55

Y² = 3159.375

The correlation coefficient

= 72378.99-74702.9/7737.421

= -2323.91/7737.421

= -0.300

Without hawaii airline

EX = 396.9

EY = 152.11

EXY = 7645.406

X² = 20736.99

Y² = 3133.772

= 790.789/4021.161

= 0.197

Answer:

No graph attached, but it would look like;

The y intercept (the line which meets the y axis) would be at positive 2,

it would then rise one and go over 3 to the right because they are both positive.

Answer:

114 square meters

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Answer:

jhhdh.duuemmeyyeymruur*

Answer:

Step-by-step explanation:

"y" is geometric mean ⇒ y² = 5 × 12

y = √60 ≈ 7.7

x² = 5² + ( √60 )²

x = √85 ≈ 9.2

Answer:

5.7 cm

Step-by-step explanation:

4^2 + 4^2 = c^2

16 + 16 = c^2

c^2 = 32

√c^2 = √32

c ≈ 5.6568

c = 5.7

Answer:

A and C are correct

Step-by-step explanation:

We have to select the true statements from the given four statements in options.

I think the statements A and C are true from the mathematical point of view.

If the original function is and then by reflecting it about the x-axis the equation will become , and then shrinking it vertically by a factor of the function will finally become .

Hence, statement A is true.

Again, the original function has domain x ≥ 0 and range y ≥ 0, but in the transformed equation has domain same as original equation i.e. x ≥ 0 but the range is different i.e. y ≤ 0.

Hence, statement C is also true. (Answer)

Answer:

=58 - 10 (lil check thing) 30

Step-by-step explanation:

Answer: (x+8)(x-8)

Step-by-step explanation:

hope this helped :)

Answer:

y=23,500

Step-by-step explanation:

General form for an exponential equation

                            y = ab^{x - h} + k y=ab

                             or

                             y = ab^x y=ab  

Exponential growth and decay, when the quantity increases by a fixed percentage at regular intervals.

                     Exponential growth  y = a(1 + r)^x y=a(1+r)

               \because b = (1 + r) ∵b=(1+r)

                     Exponential decay  y = a(1 - r)^x y=a(1−r)

x

                 \because b = (1 - r) ∵b=(1−r)

                       Where, a - initial value

                                   r - decay or growth rate

                                   x - Number of time intervals that have passed

Step 2: Set up an exponential equation from the given in formation

             Given that:

             Declined(Decay) rate r = 5% = 0.05

            Players from the first game a = 23,500

             Exponential decay  y = a(1 - r)^x y=a(1−r)

x

                                           y=23,500(1-0.05)^xy=23,500(1−0.05)

x

                                           y=23,500(0.95)^xy=23,500(0.95)

x

Step 3: Build a table of values by evaluating the function at different x-values.

                                       y=23,500(0.95)^xy=23,500(0.95)

                 If x = 0 then  y = 23,500(0.95)^x y=23,500(0.95)

                                      y = 23,500(0.95)^0 y=23,500(0.95)

                                      y = 23,500 * 1 y=23,500∗1

                                       y=23,500

Answer:

B: For quadratic equations, the root is the same as the solution.

Step-by-step explanation:

In quadratic equations of the form ax² + bx + c = 0, the roots are usually gotten from the formula ;

x = [-b ± √(b² - 4ac)]/(2a)

Now, the roots gotten are also termed as solutions because every value of x which is a root gives a solution of 0 when plugged into the quadratic equation.

Basically, in quadratic equations, the roots are solutions to the equation.

Answer:

C

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

X be the total containers bought

Sales - cost = profit

4.08(X - 14) - 2.6X = 84.96

4.08X - 2.6X - 57.12 = 84.96

1.48X = 142.08

X = 96

Answer:

?

Step-by-step explanation:

uhhh less than is x < y greater than is x > y

can you please provide more info!

Answer:

ok so they purchased price of the car is $1000 and the asking price will be 20% of $1000 so $1000 is a 100% so to get 20% of $1000 it will be 100% + 20% to get 120 percent so the asking price is 120 per cent of $1000 so 120 percent of $1000 is equals to 1200 dollars then you are told that he could not sell it by that price so he reduced it by 20% so this $1200 is 100% so he reduced it by 20% so it will be 100% - 20% to get 80% so this person sold his car at 80% so we will get 80% of $1200 and we will get $960 so he made a loss of $40

Answer:

$584.92928

Step-by-step explanation:

If Sami starts with $500 and earns 4% and she doesnt take away any money, the equation would be:

y=500(1.04)^x

y being dollars and x in years

if we replace x with 4, the answers come out to be 584.92928

Answer:

Step-by-step explanation:

First, we express the annual interest rate r, in decimal form. Since it is 4%, the interest rate is

r=4%=4100=0.04.

The principal P=500, so the future value is

A=P(1+rt)=500(1+(0.04)(4))=$580.

Answer:

I believe it's

Step-by-step explanation:

A

however I could be wrong