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2 years ago

Determine the number of solutions the system has. 2x = 2y -6 y = -x-1

Mathematics

1 answer:

guapka [62]2 years ago

5 0

Answer:

(-2,-3) / one solution

Step-by-step explanation:

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The zeros of a quadratic function are -8 and 5. Write the quadratic function in Standard Form.

nataly862011 [7]

Answer:

y = x² + 3x - 40

Step-by-step explanation:

Given the zeros are x = - 8 and x = 5, then the factors are

(x + 8) and (x - 5) and

y = (x + 8)(x - 5) ← expand factors

y = x² - 5x + 8x - 40, hence

y = x² + 3x - 40 ← in standard form

7 0

3 years ago

A certain microscope is able to magnify an object up to 100,000 times its original size. In scientific notation, 100,000 is

vova2212 [387]

1.0x10 to the fifth :)

3 0

3 years ago

Xy has 10 pets: 4 dogs, 3 cats, 2 alpacas and 1 bunny. If he wants to arrange them in a row and make sure the pets are always gr

Anastaziya [24]

The number of ways pets can be arranged in group according to the species is in a row 288 ways.

Pets can be grouped by permutation concept as follows.

Total number of pets = 10

Number of dogs = 4

Number of cats = 3

Number of alpacas = 2

Number of bunny = 1

The number of ways pets can be arranged in group according to the species in a row as,

⇒ (4!)(3!)(2!)(1!)

⇒ (24)(6)(2)(1)

⇒ 288

Hence we can conclude that the number of ways pets can be arranged in group according to the species in a row is 288 ways.

Learn more about permutation here

brainly.com/question/22444718

#SPJ4

8 0

2 years ago

A cellphone company charges $60 for a cellphone and a monthly rate to use the phone.Regina will pay $1,140 for a 24-month cellph

Alinara [238K]

The monthly rate is $45 for this cellphone plan.

Step-by-step explanation:

Given,

Amount charged for cell phone = $60

Amount paid by Regina for 24 month plan = $1140

Number of months = 24

Let,

m be the monthly rate for cellphone plan

Number of months * Monthly rate + cellphone charges = Amount paid

$24m+60=1140\\24m=1140-60\\24m=1080$

Dividing both sides by 24

$\frac{24m}{24}=\frac{1080}{24}\\m=45$

The monthly rate is $45 for this cellphone plan.

Keywords: subtraction, division

Learn more about subtraction at:

#LearnwithBrainly

7 0

2 years ago

A car traveling at 32 m/s starts to decelerate steadily. It comes to a complete stop in 14 seconds. What is its acceleration?

valentina_108 [34]

We have:

Initial velocity (u) = 32 m/s
Final velocity (v) = 0 m/s ⇒ The value is zero because the car comes to stationary position when it stops
Time = 14 seconds

We can use one of the constant acceleration equation:
$v=u+at$ where $a$ is the acceleration

$0=32+14a$
$32=-14a$
$a=- \frac{32}{14}=-2.3m/s^{-2}$

The acceleration is 2.3 m/s⁻² and the negative sign shows deceleration

3 0

3 years ago

Read 2 more answers