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3 years ago

6

Lori sells flowers arrangements. she has an order of two single roses and some table arrangements. if she uses 5 roses in each t

able arrangements, which functions rule correctly relates x, the number of the table arrangements, to r(x), the number of roses she needs altogether?

1 answer:

Art [367]3 years ago

3 0

R(x) = 5x + 2 <==== ur function

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Select the two values of x that are roots of this equation x^2-5x+2=0

Nataly [62]

The roots of the equation is x = 4.56 OR x = 0.44

<h3>Quadratic equation</h3>

From the question, we are to determine the roots of the given equation

The given equation is

x² -5x +2 = 0

Using the formula method,

$x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}$

In the given equation,

a = 1, b = -5, c = 2

Putting the values into the formula,

$x =\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(2) } }{2(1)}$

$x =\frac{5 \pm \sqrt{25-8} }{2}$

$x =\frac{5 \pm \sqrt{17} }{2}$

$x =\frac{5 + \sqrt{17} }{2}$ OR $x =\frac{5 - \sqrt{17} }{2}$

$x =\frac{5 + 4.12}{2}$ OR $x =\frac{5 - 4.12}{2}$

$x =\frac{9.12}{2}$ OR $x =\frac{0.88}{2}$

x = 4.56 OR x = 0.44

Hence, the roots of the equation is x = 4.56 OR x = 0.44

Learn more on Quadratic equation here: brainly.com/question/8649555

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3 0

2 years ago

Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist

Nezavi [6.7K]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of $\frac{map}{real world}$ and simplify.

We know $\frac{map}{real world}=\frac{0.5in}{2.3 miles}$ . We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write $\frac{4.7in}{xmiles}$ and $\frac{2.4in}{xmiles}$

We set them equal.

$\frac{0.5}{2.3}=\frac{4.7}{x}$

and

$\frac{0.5}{2.3}=\frac{2.4}{x}$

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x$

and

$2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x$

8 0

3 years ago

Nichole is making 20 gift baskets.She has 15 pounds of chocolates to distribute equally among the badkets.If each basket gets th

Leni [432]

Answer:

0.75 pound

Step-by-step explanation:

Amount of chocolate put in each basket will be the pounds of chocolate divided by the number of baskets

Pounds of chocolate = 15

Number of baskets = 20

Therefore

15/20

3/5 = 0.75

0.75 pound of chocolate will be put in each basket

8 0

3 years ago

Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last w

hammer [34]

He bought 60 pounds last week and p stands for 60

5 0

3 years ago

1/2x-5=10-3/4x please helpppppp

GarryVolchara [31]

Answer:

x=12

Step-by-step explanation:

1/2x - 5 = 10 - 3/4x ---> move like terms to the same side

1/2x + 3/4x = 10 + 5 ---> calculate

5/4x = 15 ---> multiply both sides by 4/5

x = 12

8 0

2 years ago