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3 years ago

6 x − 1 8 ≤ 2 7 Pls solve

Mathematics

1 answer:

faust18 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

6x - 18 < 27

Bringing like terms on one side

6x <_ 27 + 18

6x <_ 45

x <_ 45/6 = 7.5 or 15/2

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The price of a bag of candy is a linear function of the amount of candy in the bag. A bag containing 25 pieces costs $0.99 and a

koban [17]

When two values are given for a linear function, it is easier to obtain the equation using the two-point form, namely
(y-y1)=m(x-x1) where
m=slope=(y2-y1)/(x2-x1)
and
(x1,y1) and (x2,y2) are the given two points.

Here
(x1,y1)=(25,0.99), and
(x2,y2)=(100,3.99)
Find slope, m=(y2-y1)/(x2-x1)=(3.99-0.99)/(100-25)=3/75=0.04
Find equation:
(y-y1)=m(x-x1)
(y-0.99)=0.04(x-25)
Expand and simplify:
y=0.04x-1+0.99 , simplify
y=0.04x-0.01..............................Function that models the situation

3 0

3 years ago

perimetrul unui paralelogram este de 30 cm.una dintre laturi are lungimea de 6 metri . dterminati lungimile celolrarte laturi

zzz [600]

To solve this problem you must apply the proccedure shown below:

1. By definition, the opposite sides of a parallelogram are parallel and have equal length.

2. The figure attached shows that the opposite sides with equal length are:

$a=c\\b=d$

3. Keeping this on mind, you have that the side c and a are equal and measure six centimeters.

4. To find the length of the other sides, you must apply the following formula for calculate the perimeter of a parallelogram:

$P=2(a+b)$

4. If you solve for b, you will obtain the measure of b and d:

$30cm=2(6cm+b)\\30cm=12cm+2b\\b=9cm$

Therefore the answer is:

The lengths of the sides are: 6 cm, 6 cm, 9 cm and 9 cm.

8 0

3 years ago

Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)? y squared over 40 minus x square

N76 [4]

The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is $\frac{x^2}{10} + \frac{y^2}{15} = 1$

<h3>How to determine the equation of the hyperbola?</h3>

The given parameters are:

Directrices at x = ±2
Foci at (5, 0) and (−5, 0)

The foci of a hyperbola are represented as:

Foci = (k ± c, h)

The center is:

Center = (h,k)

And the directrix is:

Directrix, x = h ± a²/c

By comparison, we have:

k ± c = ±5

h = 0

h ± a²/c = ±2

Substitute h = 0 in h ± a²/c = ±2

0 ± a²/c = ±2

This gives

a²/c = 2

Multiply both sides by c

a² = 2c

k ± c = ±5 means that:

k ± c = 0 ± 5

By comparison, we have:

k = 0 and c = 5

Substitute c = 5 in a² = 2c

a² = 2 * 5

a² = 10

Next, we calculate b using:

b² = c² - a²

This gives

b² = 5² - 10

Evaluate

b² = 15

The hyperbola is represented as:

$\frac{(x - k)^2}{a^2} + \frac{(y - h)^2}{b^2} = 1$

So, we have:

$\frac{(x - 0)^2}{10} + \frac{(y - 0)^2}{15} = 1$

Evaluate

$\frac{x^2}{10} + \frac{y^2}{15} = 1$

Hence, the equation of the hyperbola is $\frac{x^2}{10} + \frac{y^2}{15} = 1$

Read more about hyperbola at:

brainly.com/question/3405939

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6 0

2 years ago

19. Rick shared his bag of grapes withfriends. He gave /210of the bag to Melissaand /410 of the bag to Ryan. What fractionof the

kvv77 [185]

Rick started with 10/10 of the grapes because he had all of them at the start.

Then he gave 2/10 and 4/10 of the grapes away.

10/10 - 2/10 - 4/10 = 4/10 = 2/5 left

answer: Rick had 2/5 of the grapes left.

4 0

3 years ago

I need help please and thank you . I am try to pass this.

Levart [38]

Answer:

11 ≤ n

Explanation:

$\frac{66}{6} = 11$

More than indicates the minimum value, so you use the greater than or equal to.

The above answer is written in reverse, which the exact same result.

I am joyous to assist you anytime.

8 0

3 years ago