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timurjin [86]
3 years ago
6

Jimmy left the airport and traveled toward the train

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0
Jimmy’s speed was 64mph

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Which the parabola opens,
Dmitrij [34]

Table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have the tables shown in the picture.

We know the quadratic form of a parabola is:

y = ax² + bx + c

If a > 0 the parabola opens

In the equation:

y = x² - 6x

1 > 0 the parabola opens and y-intercept is:

y = 0 (plug x = 0 in the given equation)

a = 1, b = -6, and c = 0

Thus, table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.

Learn more about the parabola here:

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8 0
2 years ago
The ratio of Wei Ling's age to Wei Xuan's age 5 years ago was 2: 5. In 9 years
Archy [21]

Answer:

15 years old

Step-by-step explanation:

Start by defining the variables that we are going to use throughout our working:

Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.

Next, form equations using the given information.

<u>5 years </u><u>ago</u>

Wei Ling: (L -5) years old

Wei Xuan: (X -5) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,

\frac{ L - 5}{X - 5}  =  \frac{2}{5}

Cross multiply:

2(X -5)= 5(L -5)

Expand:

2X -10= 5L -25

2X= 5L -25 +10

2X= 5L -15 -----(1)

<u>9 years time</u>

Wei Ling: (L +9) years old

Wei Xuan: (X +9) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,

\frac{L + 9}{X + 9}  =  \frac{3}{4}

Cross multiply:

3(X +9)= 4(L +9)

Expand:

3X +27= 4L +36

3X= 4L +36 -27

3X= 4L +9 -----(2)

Let's solve using the elimination method.

(1) ×3:

6X= 15L -45 -----(3)

(2) ×2:

6X= 8L +18 -----(4)

(3) -(4):

6X -6X= 15L -45 -(8L +18)

0= 15L -45 -8L -18

0= 7L -63

7L= 63

L= 63 ÷7

L= 9

Substitute L= 9 into (1):

2X= 5(9) -15

2X= 45 -15

2X= 30

X= 30 ÷2

X= 15

Thus, Wei Xuan is 15 years old now.

6 0
2 years ago
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