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3 years ago

Enter numbers into the table so that the paired values are in a proportional relationship.

Mathematics

2 answers:

Alisiya [41]3 years ago

8 0

Answer:

x- 5

y- 6

Step-by-step explanation:

A proportional relationship is a relationship for which a proportional constant y/x exists and for which it passes through (0,0) or the origin.

The proportional constant is 6.

18/3=6

42/7=7

54/9=6

Thus the filled in blanks should be x 1, 3, 5, 7, 9 and y 6, 18, 30, 42, 54.

Fantom [35]3 years ago

6 0

Answer:

<h2>The missing numbers are 5 and 6.</h2>

Step-by-step explanation:

From the given table, if we divide each pair as y/x, we find the ratio is 6.

$\frac{18}{3}=6\\\frac{42}{7}=6\\\frac{54}{9}=6$

Therefore, the missing numbers have to be in the same ratio.

$\frac{x}{1}=6\\x=6$

$\frac{30}{x}=6\\ x=5$

So, the missing numbers are 5 and 6, because they are also in the same ratio of 6.

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koban [17]

Answer:-0.0625

Step-by-step explanation:

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3 years ago

Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = \dfrac{9}{4}$

Now we use the square root property, if

$x^2 = k$ , then

$x = \pm \sqrt{k}$

$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

5 0

3 years ago

HELP!!! solve the following system:<br>y = x + 3<br>3x + y = 19

MariettaO [177]

3x + (x+3) = 19
4x + 3 = 19
4x = 16
x = 4

y= x+3
y= 4+3
y= 7

8 0

3 years ago

Write or draw to explain a way to find each sum: 6+7, 8+4, 2+9

storchak [24]

Draw six dots then a plus sign then draw seven dots and the count them and put an equal sign and however many dots. Doe the same with the other numbers

6 0

2 years ago

Read 2 more answers

Best Buy is displaying 15 laptops for a big store sale. The laptops include 6 identical Dells, 4 identical Chromebooks, and 5

Alchen [17]

Answer:

630,630 different arrangements are possible for the given laptops.

Step-by-step explanation:

Total number of laptops = n = 15

Number of identical Dell laptops = 6

Number of identical Chromebooks = 4

Number of identical Mackbooks = 5

We have to find in how many ways can the laptops be arranged. Number of arrangement of objects is calculated using Permutations as the order of objects matter during the arrangement. The formula to calculate the number of possible arrangements when there are similar objects is given as:

$\frac{n!}{a!b!c!...}$

Here n is the total number of objects and a,b, and c represent the number of identical objects. Using the given values we get:

$\frac{15!}{6!4!5!} = 630630$

This means 630,630 different arrangements are possible for the given laptops.

4 0

2 years ago