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3 years ago

Dont solve just find the system of equations

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

4 0

Answer:

3y + x = 6

4y + 1.50x = 8.50

Step-by-step explanation:

Cost of walnut = $1.50

Cost of cashew = $1.00

Cost of dates = $1.50

Let

Dates = x

Cashew = y

Walnuts = 2y

Pounds of total mixture = 6 lb

Total cost of the mixture = $8.50

First equation (from Quantity)

Walnuts + cashew + dates = Total mixture

2y + y + x = 6

3y + x = 6

Second equation (from price× Quantity)

2y(1.50) + y(1.00) + x(1.50) = 8.50

3y + y + 1.50x = 8.50

4y + 1.50x = 8.50

Therefore, the system of equation to solve the question is

3y + x = 6

4y + 1.50x = 8.50

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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

morpeh [17]

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

Answer :

x = -4 or x = 2 ✅

Explanation :

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :

If b² - 4ac > 0 , There are 2 real-number solutions

If b² - 4ac = 0 , There is 1 real-number solution.

If b² - 4ac < 0 , There is no real-number solution.

The roots of the equation are determined by the following calculation:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

Here, we have :

a = 1
b = 2
c = -8

1) Calculate the discriminant :

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) Calculate the roots of the equation:

▪️ (1)

$x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}$

▪️ (2)

$x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}$

>> Therefore, your answers are x = -4 or x = 2.

Learn more about quadratic equations:

brainly.com/question/27638369

6 0

2 years ago

Read 2 more answers

Hello, Can someone please explain on how to do this? thank you!

Marrrta [24]

Steps:

1) determine the domain

2) determine the extreme limits of the function

3) determine critical points (where the derivative is zero)

4) determine the intercepts with the axis

5) do a table

6) put the data on a system of coordinates

7) graph: join the points with the best smooth curve

Solution:

1) domain

The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0

=> x > 3 <-------- domain

2) extreme limits of the function

Limit log (x - 3) when x → ∞ = ∞

Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote

3) critical points

dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)

4) determine the intercepts with the axis

x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4

y-intercept: The function never intercepts the y-axis because x cannot not be 0.

5) do a table

x y = log (x - 3)

limit x → 3+ - ∞

3.000000001 log (3.000000001 -3) = -9

3.0001 log (3.0001 - 3) = - 4

3.1 log (3.1 - 3) = - 1

4 log (4 - 3) = 0

13 log (13 - 3) = 1

103 log (103 - 3) = 10

lim x → ∞ ∞

Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.

7 0

3 years ago

Read 2 more answers

What is the x-intercept of the graph of y = –|x – 2|?

bagirrra123 [75]

Answer:

The x intercept would be -2

Step-by-step explanation:

8 0

2 years ago

Whats 38240 divided by 4

inn [45]