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3 years ago

Please answer correctly

Mathematics

2 answers:

neonofarm [45]3 years ago

7 0

I need help with that to

Vedmedyk [2.9K]3 years ago

5 0

Answer:

Step-by-step explanation:

Month on x-axis and Log(mice) on y

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Diviseur de 63 et 67

dybincka [34]

Diviseur de 63 et 67

0.94029850746

4 0

2 years ago

Read 2 more answers

Pls help, thank you

Lemur [1.5K]

Answer:

y = -3x² + 7x - 9

Step-by-step explanation:

Given quadratic function:

y = ax² + bx + c

Points on the graph:

(-2,-35), (1,-5), (3,- 15)

Substitute values of x and y and solve the system of equations:

-35 = a(-2)² + b(-2) + c ⇒ -35 = 4a - 2b + c ⇔ eq 1
-5 = a(1)² + b(1) + c ⇒ -5 = a + b + c ⇔ eq 2
-15 = a(3)² + b(3) + c ⇒ -15 = 9a + 3b + c ⇔ eq 3

Subtract eq 2 from eq 1:

-35 - (-5) = 4a - 2b + c - a - b - c
-30 = 3a - 3b
b = a + 10 ⇔ eq 4

Subtract eq 2 from eq 3:

-15 - (-5) = 9a + 3b + c - a - b - c
-10 = 8a + 2b
b = -4a - 5 ⇔ eq 5

Compare eq 4 and eq 5, solve for a:

a + 10 = -4a - 5
a + 4a = -5 - 10
5a = -15
a = -3

Find the value of b using eq 4:

b = -3 + 10
b = 7

Find the value of c using eq 2:

-5 = -3 + 7 + c
c = -5 - 4
c = -9

We now have a, b and c:, the function is:

y = -3x² + 7x - 9

8 0

2 years ago

Read 2 more answers

Universal Pet house sells vinyl doghouse and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouses a

LuckyWell [14K]

Answer:

The system of equations is :

Equation 1- $5x+2y=50$

Equation 2- $x+2y=30$

Number of vinyl doghouse = 5

Number of treated lumber doghouse =12.5

Step-by-step explanation:

Let x be the number of vinyl doghouses

y be the number of treated lumber doghouses

→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.

Equation 1- $5x+2y=50$

→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.

Equation 2- $x+2y=30$

→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.

Subtract equation 2 from equation 1

$5x+2y-x-2y=50-30$