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2 years ago

What are the solutions to the equation?

Mathematics

1 answer:

Phantasy [73]2 years ago

4 0

Answer:

x = -2 and 1

Step-by-step explanation:

Given :

f(x) = x+2

g(x) = -x²+4

The solution to the equation f(x) = g(x)

=> x+2 = -x²+4

=> x²+x = 4-2

=> x²+x -2 = 0

By factorisation

=> x²+2x-x -2 = 0

=> x(x+2) -1(x+2)

=> (x+2) (x-1)

x = -2 and 1

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How do you calculate the common difference?

SCORPION-xisa [38]

Answer:

<h3> second term minus first term </h3>

Step-by-step explanation:

Difference is a result of subtracting (not dividing!)

To calculate difference between two terms we have to subtract the previous from the next:

$d=a_2-a_1=a_3-a_2=a_4-a_3=...=a_n-a_{n-1}$

7 0

3 years ago

Can someone please hepl me on tis

MA_775_DIABLO [31]

Answer:

Answer is in pictures

Step-by-step explanation:

36=6x6 90=9x10

256+7=263 104=98+6-2

678=678 81+9=90

5 0

2 years ago

Please help I need it

S_A_V [24]

Answer:

13/48

Step-by-step explanation:

I take the middle sign to be plus.\

3/4//4/5 = 3/4 * 5/4 = 15/16

15/16 - 2/3 =

The lowest common denominator would be 48: 16 and 3 are prime to each other.

45/48 - 32/48 = 13 / 48

Where did the minus come from? I take it that there is a minus sign in front of the 2

7 0

2 years ago

Ashley uses 1/4 package of raisin for a fruit cake. She then uses 1/9 of the remainder for muffins. What fraction of the package

Flura [38]

$\text {Fruit cake = } \dfrac{1}{4}$

$\text {Raisin left = } 1 - \dfrac{1}{4} = \dfrac{4}{4} - \dfrac{1}{4} = \dfrac{3}{4}$

$\text {Muffins = } \dfrac{1}{9} \times \dfrac{3}{4} = \dfrac{3}{36} = \dfrac{1}{12}$

$\text {Raisin left = } \dfrac{3}{4} - \dfrac{1}{12} =\dfrac{9}{12} - \dfrac{1}{12} = \dfrac{8}{12} -= \dfrac{2}{3}$

Answer: She has 2/3 of the package left.

7 0

3 years ago

Read 2 more answers

Which equations represents the line that pases through points (1,-5) and (3, -17)?

Pachacha [2.7K]

Answer:

y= -6x +1

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.

In order to find the equation of a line, you would need 2 things:

① Gradient (← can be found)

② Coordinate (✓ we have 2 coordinates here)

To find the gradient, use the gradient formula below:

$gradient = \frac{y1 - y2}{x1 - x2}$

$m = \frac{ - 5 - ( - 17)}{1 - 3} \\ m = \frac{ - 5 + 17}{ - 2} \\ m = \frac{12}{ - 2} \\ m = - 6$

Substitute the value of m into the equation:

y= -6x +c

To find the value of c, substitute a pair of coordinates.

When x=1, y= -5,

-5= -6(1) +c

c -6= -5

c= 6 -5

c= 1

Thus, the equation of the line is y= -6x +1.

4 0

3 years ago