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Nutka1998 [239]

3 years ago

11

What must you add to the expression x2+bxx2+bx to complete the square?

1 answer:

jarptica [38.1K]3 years ago

7 0

We are given the incomplete expression:

x^2 + b x

Now to complete the square, we need to add the square of the half of b, that is:

(b / 2)^2

or

b^2 / 4

Therefore the complete expression is:

<span>x^2 + b x + (b^2 / 4)</span>

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5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in

hram777 [196]

X: liters of 15% orange juice
y: liters of 10% orange juice

x+y=5L

y=5L - x

x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:

0.15x+0.10y = 0.12(5L)

0.15x+0.10(5L-x)=0.12(5L)

0.15x+0.5-0.10x=0.6

0.05x=0.1L

x=2L

so y = 3L

so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice

4 0

3 years ago

Stephanie wants to buy 's' tomato plants, and Diego wants to by 'd' tomato plants. Each plant costs $7. Stephanie will use a cou

Fudgin [204]

Answer:

7·(s + d) - 25

Step-by-step explanation:

if each plant cost $7

and there are two plants so its 7 times (s+d)

and then the discount so its -25

hope this helps

8 0

2 years ago

What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?

AnnZ [28]

The value of n in given proportion is 16

<u><em>Solution:</em></u>

We have to find the value of "n" in the proportion

<em><u>Given proportion is:</u></em>

<em><u></u></em> $\frac{n}{28} = \frac{4}{7}$ <em><u></u></em>

We can solve the above proportion by cross-multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable

$->\frac{n}{28} = \frac{4}{7}$

$-> 7 * n = 4 * 28$

$-> n = \frac{4 * 28}{7}$

$-> n = 4 * 4 = 16$

Thus the value of n in given proportion is 16

6 0

2 years ago

Read 2 more answers

What is a number written to the thousandths place that would relate to 417.91 using the = symbol?

baherus [9]

Answer:

0.41791

Step-by-step explanation:

let x be the number written to the thousandth place then,

x times thousands = 417.91

or, x = 417.91/1000

therefore, x = 0.41791

and so

0.41791 thousand = 417.91

3 0

3 years ago

Read 2 more answers

Layla, Eliana and Nature each carried 10 pound bag of soil into the backyard. After putting soil in the first flower bed, Layla'

Ivanshal [37]

Answer: 17.75 pounds

Step-by-step explanation:

After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds

Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds

Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds

The number of pounds of soil that they put in the first flower bed altogether will be:

= 6.25 + 4 + 7.5

= 17.75 pounds

8 0

3 years ago