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anastassius [24]
2 years ago
10

Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Lemur [1.5K]2 years ago
8 0

Answer:

Step-by-step explanation:

GuDViN [60]2 years ago
5 0

Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

<u>Given system of equations:</u>

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

<u>Step 1:</u> Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

<u>Step 2:</u> Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

⇒ x = -2, x = 2

<u>Step 3:</u> Solve for y.

<em>Substitute the found x-values into one of the given equations.</em>

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

Learn more about system of equations here:

brainly.com/question/26094713

brainly.com/question/27850666

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exis [7]
The answer for your question is x=-1

8 0
2 years ago
Please help me with this please and thank you
Alina [70]

Step-by-step explanation:

y = ax^n + bx^(n-1) ... + z

(0, 1) tells us that the constant term z = 1.

because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.

for the other pairs I strongly suspect

(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3

(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9

so, the fitting equation is

y = 2x² + 1

3 0
2 years ago
One number is 8 more than another. If the sum of the smaller number and twice the larger number is 46, find the two numbers.Let
valkas [14]

Answer:

x = 18 y = 10

Step-by-step explanation:

let the first number be x

let the second number be y

x = y + 8..... equation 1

2x + y = 46.... equation 2

x is the larger number

y is the smaller number.

Rearrange the equation and add equation 1 to equation 2.

x - y = 8

+ 2x + y = 46

-------------------

3x + 0 = 54

3x = 54

divide both sides by 3

x = 54/3

x = 18

Substitute x = 18 into equation 1

x = y + 8

18 = y + 8

collect like terms

y = 18-8

y = 10

3 0
3 years ago
(A journey by bus takes 45 minutes at 60 km per hour. How fast must a car go to do the same
Vlad [161]

Answer:

The car must drive at 108 km/h to cover the same journey.

Step-by-step explanation:

Given that:

Time taken by bus journey = 45 minutes = \frac{45}{60} = 0.75\ hour

Speed of bus = 60 km/h

Distance of the journey = Speed * Time

Distance of the journey = 60 * 0.75 = 45 km

The car needs to cover 45 km in 25 minutes.

25 minutes = \frac{25}{60}\ hour

Distance = Speed * Time

45 = \frac{25}{60}*Speed

Speed = 45*\frac{60}{25}

Speed = 108 km/h

Hence,

The car must drive at 108 km/h to cover the same journey.

7 0
3 years ago
-k+3k combined like terms to create an equivalent expression
Murrr4er [49]

Answer:

2k

Step-by-step explanation:

Add:

-k + 3k

or

-1k + 3k

2k

(You have to add -1 + 3)

Hope this helps :)

5 0
3 years ago
Read 2 more answers
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