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Contact [7]
3 years ago
13

I need help solving this question: x + 6 > 2x/3

Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

3x+18>2x

3x-2x>-18

x>-18

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Which equation represents a linear function that has a slope of 4/5<br> and a y-intercept of –6?
vredina [299]

Answer:

\large\boxed{y=\dfrac{4}{5}x-6}

Step-by-step explanation:

The slope-intercept form of equation of a linear function:

y=mx+b

m - slope

b - y-intercept

We have the slope m = 4/5 and the y-intercept b = -6. Substitute:

y=\dfrac{4}{5}x-6

3 0
3 years ago
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How many 5-digit numbers can be formed from the integers 1, 2, ... , 9 if no digit can appear more than twice?
elena-14-01-66 [18.8K]
5 digit number with no repeats
1st digit has 9 possibilities
2nd digit has 8 possibilities
3rd digit has 7 possibilities
4th digit has 6 possibilities
5th fight has 5 possibilities
Therefore the answer is:
9 x 8 x 7 x 6 x 5 = 72 x 210 = 15,120
6 0
3 years ago
Identify the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector &lt;−6, 3&gt;.
jarptica [38.1K]

Answer:

P ′(−10, −2), L ′(−5, −4), K ′(−15, 11)

Step-by-step explanation:

The translation vector, ⟨−6,3⟩, can be used to derive a rule for the translation of the coordinates: (x,y)→(x−6,y+3).

Apply the rule to translate each of the three preimage vertices to the image vertices.

P(−4,−5)→P'(−10,−2)

L(1,−7)→L'(−5,−4)

K(−9,8)→K'(−15,11)

Therefore, P'(−10,−2), L'(−5,−4), N'(−15,11) is the translation of the figure with the vertices P(−4,−5), L(1,−7), and K(−9,8), along the vector ⟨−6,3⟩.

4 0
2 years ago
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Alice skates 2/5 mile in 1/5 hour. Elizabeth skates 2/3 mile in 2/9 hour. How far did elisabeth escape in in 1 hour?
sergeinik [125]

Question

Alice skates 2/5 mile in 1/5 hour. Elizabeth skates 2/3 mile in 2/9 hour. How far did elisabeth escape in in 1 hour?

Answer:

The Correct Answer is \frac{8}{9}

Complete the multiplication and the equation becomes

\frac{2}{9} +\frac{2}{3} = ?

The two fractions now have like denominators so you can add the numerators.

\frac{2+6}{9} = \frac{8}{9}

Therefore, The Answer Is \frac{8}{9}

Hope this helps!

xXxAnimexXx

6 0
2 years ago
30 points! please help!
stiks02 [169]

Answer:

Therefore

15.

25c^{2}-9

16.

(y+8)(y+1)

17.

(x-3y)(x-7y)

Step-by-step explanation:

15.

(5c^{2} +3)(5c^{2}-3)

Using the Identity (a + b)(a - b) = (a² - b²) we get

Consider here a = 5c and b = 3 then we will have

((5c)^{2} -(3)^{2})=25c^{2}-9    .....as required

16.

y^{2}+9y+8

Here Factorize 8 such that sum up to be 9

∴ 8 × 1  = 8 and 8 + 1 =9

y^{2}+9y+8\\y^{2}+8y+y+8\\y(y+8)+1(y+8)\\(y+8)(y+1) ... as required

17.

x^{2}-10xy+21y^{2}

Here Factorize 21 such that sum up to be -10

∴ -3 × -7  = + 21 and -3 - 7 = - 10

x^{2}-10xy+21y^{2}\\x^{2}-3xy-7xy+21y^{2}\\x(x-3y)-7y(x-3y)\\(x-3y)(x-7y) ........as required

Therefore

15.

25c^{2}-9

16.

(y+8)(y+1)

17.

(x-3y)(x-7y)

4 0
3 years ago
Read 2 more answers
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