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Vika [28.1K]
3 years ago
11

PLEASE ANSWER ASAP What are the solutions (coordinate points) to the system of equations?

Mathematics
1 answer:
lesya [120]3 years ago
4 0

Answer:

x=0 & x=-2

(0,6) (-2,0)

Step-by-step explanation:

y= x²+5x+6

and

y= 3x+6

therefore

3x+6 = x²+5x+6

x²+2x=0

x(x+2)=0

x=0 & x=-2

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A company manufactures keyboards for desktop and laptop computers. The desktop keyboard contains 105 keys and the laptop keyboar
Luba_88 [7]

The company can produce 20 desktop keyboards and 10 laptop keyboards

Step-by-step explanation:

A company manufactures keyboards for desktop and laptop computers

  • The desktop keyboard contains 105 keys
  • The laptop keyboard has 90 keys
  • The company has 3000 keys
  • The company needs to produce twice as many desktop keyboards as laptop keyboards

We need to find how much of each type the company can produce

Assume that the company can produce x desktop keyboards and

y laptop keyboards

∵ The company can produce x desktop keyboards

∵ company can produce y laptop keyboards

∵ The desktop keyboard contains 105 keys

∵ The laptop keyboard has 90 keys

∵ The company has 3000 keys

- Write an equation to represent the total keys

∴ 105 x + 90 y = 3000 ⇒ (1)

∵ The company needs to produce twice as many desktop keyboards

   as laptop keyboards

∴ x = 2 y ⇒ (2)

Substitute x in equation (1) by equation (2)

∵ 105(2 y) + 90 y = 3000

∴ 210 y + 90 y = 3000

∴ 300 y = 3000

- Divide both sides by 300

∴ y = 10

∴ The company can produce 10 laptop keyboards

Substitute the value of y in equation (2) to find the value of x

∵ x = 2(10)

∴ x = 20

∴ The company can produce 20 desktop keyboards

The company can produce 20 desktop keyboards and 10 laptop keyboards

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
3 years ago
Draw the image of B(7,-4) under a reflection over x=2
lesantik [10]

Answer:

Put the green dot at the coordinates (-3, -4). Find -3 on the x-axis and go 4 down.

Step-by-step explanation:

Just move the blue dot five to the left, then five to the left again.

3 0
3 years ago
How many more students studied for at least 3 hours compared to students who studied
Tatiana [17]

Answer:

5 students

Step-by-step explanation:

9 students studied for more than 3 and 4 students studied less .

9-4=5

4 0
3 years ago
............................
prohojiy [21]
Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.

After flipping positions/eliminating the negative exponents it should look like this:

\frac{ 2^{2} x^{3} }{ y^{5} }
which simplifies to 
\frac{ 4 x^{3} }{ y^{5} }
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
\frac{4 (2)^{3} }{ (-4)^{5} }
which simplifies to 
\frac{4(8)}{(-1024)} = \frac{32}{-1024} = - \frac{1}{32}

Final Answer: - \frac{1}{32} [/tex]
4 0
3 years ago
You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?
tigry1 [53]

Answer: Aproxamatly  18.999999999999999

Step-by-step explanation:

5 0
3 years ago
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