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Katen [24]
3 years ago
14

Determine the intercepts of the line 2x+5y=-6?

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

Answer:

The x intercept is (-3,0)

The y intercept is (0,-6/5)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

2x+5y=-6

2x+0 = -6

Divide by 2

2x/2 = -6/2

x = -3

The x intercept is (-3,0)

To find the y intercept, set x =0 and solve for y

2x+5y=-6

0+5y = -6

Divide by 5

5y/5 = -6/5

y = -6/5

The y intercept is (0,-6/5)

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Simplify: -6( 5 /3 x + 4)
yaroslaw [1]

Answer:

-10x-24

Step-by-step explanation:

-6(\frac{5}{3}x+4)

-6*\frac{5}{3}x+-6*4

-10x-24

8 0
3 years ago
Read 2 more answers
Compute the discriminant. Then determine the number and type of solutions for the given equation.
Neporo4naja [7]

Answer:

Step-by-step explanation:

It's two unequal real solutions.

a = 1

b = 7

c = 6

discriminate = sqrt(7^2 - 4*1*6)

discriminate = sqrt(49 - 24)

discriminate = sqrt(25)

discriminate = 5

Now you cannot determine what this means unless you put it in the quadratic formula

x = (-7 +/- 5)/2

x = (- 7 + 5) / 2

x =  - 2/2 = - 1

x = (-7 - 5)/2

x = -12/2

x = - 6

You see that you have two unequal reals.

7 0
3 years ago
Maggie buys a dress and a pair of shoes at The Home Store. Before adding the sales tax, she pays $48 for a dress that normally s
mezya [45]

Answer:

a) $26

b) 24.07%

c) $94.3

Step-by-step explanation:

Given that:

Before tax:

Normal price of dress = $62

Discounted price of dress = $48

Normal price of a pair of shoes = $46

Discounted price of a pair of shoes = $34

a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = <em>$26</em>

b) Total percentage discount on total sales.

Total bill for original price = $62 + $46 = $108

Percentage discount can be found by the formula:

\dfrac{\text{Total discount}}{\text{Total bill for original price}}\times 100\\\Rightarrow \dfrac{26}{108} \times 100 = 24.07\%

c) Total amount paid if the sales tax is 15%.

Amount paid with tax = Amount after discount + 15% of amount after discount

Amount after discount = $48 + $34 = $82

15% of $82 = $18.29

Amount paid with sales tax = $82 + $12.3 = <em>$94.3</em>

6 0
3 years ago
81-1 1/5 x &lt; 55<br> please help i need help fast
PSYCHO15rus [73]

Step-by-step explanation:

81 - 1.2x < 55

81 < 55 + 1.2x (add 1.2x to both sides)

1.2x > 26 (subtract 55 from both sides)

x > 21 2/3.

3 0
3 years ago
The formula for the area of a triangle Is A = -bh, in which b represents the length of the base and h
Ira Lisetskai [31]

Step-by-step explanation:

something went very wrong with the problem description.

the area of a triangle is

base × height / 2

so, we know the area, and we know the height.

therefore

470 = base × 20 / 2 = base × 10

base = 470/10 = 47 mm

8 0
3 years ago
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