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3 years ago

If x + y ≥ a, x - y ≤ -1, and the minimum value of z = x + ay = 7, what is a?

Mathematics

1 answer:

erik [133]3 years ago

5 0

Answer:

A = -2.3

Step-by-step explanation:

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What are m∠1 and m∠2?

zaharov [31]

Answer:

B. <1 = 35, m<2 = 30

Step-by-step explanation:

To figure out m<1 I first need to figure out the other missing angle. A straight line is a 180 degree angle. Taking that information you can do 180 - 115. This means that the missing angle is 65 degrees. The interior angles of triangles always add up to 180.

80 + 65 = 145

180 - 145 = 35

<1 = 35

Repeat with the other side.

85 + 65 = 150

180 - 150 = 30

<2 = 30

Hope this helps!

5 0

2 years ago

A square postage stamp has area 1240 mm^2 about how long is each side?

Shtirlitz [24]

Sq.root of 1240 is approx 35 mm

6 0

3 years ago

What is the value of the discriminant? 2K2 = 10k - 2

Phoenix [80]

Answer:

Step-by-step explanation:

Given a quadratic equation in standard form, ax² + bx + c = 0 : a ≠ 0

Then the discriminant is Δ = b² - 4ac

2k² = 10k - 2 ( subtract 10k - 2 from both sides )

2k² - 10k + 2 = 0 ← in standard form

with a = 2, b = - 10 and c = 2, thus

b² - 4ac = (- 10)² - (4 × 2 × 2) = 100 - 16 = 84

7 0

3 years ago

(a) The Feelgood Gym has a monthly membership fee of $100 and it charges an addi-

Ierofanga [76]

If I use the gym for x hours in a month, the total cost in terms of x will be 1000 + x.

a. Monthly membership fee = $100

Additional amount charged = $1 per hour.

If I use the gym for x hours in a month, the total cost in terms of x will be:

= 1000 + 1(x)

= 1000 + x

b. Also, if the amount charged is $35 per month and $3.50 per hour, the total cost will be:

= 35 + 3.50(x)

= 35 + 3.5x

c. The number of hours that will give same cost will be:

1000 + x = 35 + 3.5x

Collect like terms.

1000 - 35 = 3.5x - x

965 = 2.5x

x = 965/2.5

x = 386

In 386 hours, the total cost will be the same.

Read related link on:

brainly.com/question/24515212

5 0

3 years ago

In the triangle below, 4/5 represents which ratio?

ASHA 777 [7]

Answer:
sin (C)

Explanation:
In a right-angled triangle, special trig functions can be applied. These functions are as follows:
sin (theta) = $\frac{opposite}{hypotenuse}$

cos (theta) = $\frac{adjacent}{hypotenuse}$

tan (theta) = $\frac{opposite}{adjacent}$ 

Now, let's check the triangle we have:
We have two options:
First option:
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the cos function:
cos (B) = $\frac{4}{5}$ 

Second option:
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the sin function:
sin (C) = $\frac{4}{5}$

Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

8 0

4 years ago

Read 2 more answers