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3 years ago

Using the pattern rule, find the missing

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

5 0

Answer:

y=12

Step-by-step explanation:

y=x+8

9=1+8

10=2+8

and so in...

y=?

4+8=12

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A combo meal and a salad cost $12

lubasha [3.4K]

Answer:

The cost of a combo meal is $8 and a salad is $4.

Step-by-step explanation:

You have to form simultaneous equations with the given informations. Let combo meal be m and salad is s :

$m + s = 12 - - - (1)$

$2m + s = 20 - - - (2)$

Next, you have to solve these equations :

$(2) - (1)$

$2m + s - m - s = 20 - 12$

$m = 8$

$sub \: \: m = 8 \: \: into \: \: (1)$

$(1)⇒$

$8 + s = 12$

$s = 4$

8 0

3 years ago

Read 2 more answers

a boy throws a ball straight up into the air it reaches of the highest point of its flight after 4 seconds how fast was the ball

shepuryov [24]

Take into account the the Earths gravity is 9.8 meters a second

6 0

4 years ago

What situation should be used to rewrite 16(x^3+1)^2 -22(x^3+1)-3=0 as a quadratic equation

Oliga [24]

$16(x^3+1)^2-22(x^3+1)-3=0$

Use substitution: $x^3+1=t$

$16t^2-22t-3=0\\\\16t^2-24t+2t-3=0\\\\8t(2t-3)+1(2t-3)=0\\\\(2t-3)(8t+1)=0\iff2t-3=0\ \vee\ 8t+1=0$

$2t-3=0\ \ \ |+3\\\\2t=3\ \ \ |:2\\\\t=\dfrac{3}{2}\\..............................\\8t+1=0\ \ \ \ |-1\\\\8t=-1\ \ \ \ |:8\\\\t=-\dfrac{1}{8}$

we're going back to substitution:

$x^3+1=\dfrac{3}{2}\ \vee\ x^3+1=-\dfrac{1}{8}\ \ \ \ |subtract\ 1\ from\ both\ sides\ of\ the\ equations\\\\x^3=\dfrac{1}{2}\ \vee\ x^3=-\dfrac{9}{8}\\\\x=\sqrt[3]{\dfrac{1}{2}}\ \vee\ x=\sqrt[3]{-\dfrac{9}{8}}$

$x=\dfrac{1}{\sqrt[3]2}\ \vee\ x=-\dfrac{\sqrt[3]9}{2}\\\\\boxed{x=\dfrac{\sqrt[3]4}{2}\ \vee\ x=-\dfrac{\sqrt[3]9}{2}}$

4 0

3 years ago

What is the vertex of the quadratic function f(x)=(x-6)(x+2)?

Nata [24]

Answer:

(2, -16).

Step-by-step explanation:

(x - 6)(x + 2)

Convert to vertex form:

Expanding the parentheses we have:

x^2 + 2x - 6x - 12

= x^2 - 4x - 12

Completing the square:

= (x - 2)^2 - 4 - 12

= (x - 2)^2 - 16

So the vertex is (2, -16),

4 0

4 years ago

The length of the long leg of a right triangle is 16 inches more than four times of the shorter leg. The length of the hypotenus

Galina-37 [17]

Answer:

The side lengths of the triangle, in order, are 11 inches, 60 inches, 61 inches.

Step-by-step explanation:

Let the shorter leg be x, the longer leg, y and the hypotenus, z.

y = 16 + 4x

z = 17 + 4x

By Pythagoras rule,

z^2 = x^2 + y^2

(17+4x)^2 = x^2 + (16+4x)^2

that is,

x^2 - 8x - 33 = 0 (A quadratic equation)

By factorising,

(x+3)(x-11)=0

either x = -3 or x = 11.

But length cannot be negative. Hence, -3 is dicarded.

x = 11 inches

y = 16 + 4x = 60 inches

z = 17 + 4x = 61 inches

8 0

3 years ago