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Artemon [7]
3 years ago
7

jo goes to a restaurant for a meal. there are 5 starters and 7 main courses to choose from. Jo chooses a starter and a main cour

se how many possible combinations could she order?
Mathematics
1 answer:
saveliy_v [14]3 years ago
7 0

Answer:

35 combinations of a starter and a main course.

Step-by-step explanation:

1a, 1b, 1c, 1d, 1e, 1f, 1g

2a, 2b, 2c, 2d, 2e, 2f, 2g

3a, 3b, 3c, 3d, 3e, 3f, 3g

4a, 4b, 4c, 4d, 4e, 4f, 4g

5a, 5b, 5c, 5d, 5e, 5f, 5g

i hope this helps

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f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2
iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4,\infty)

g(x)=2x^2+8x+6=2(x^2+4x+3)

g(x)=0

2(x^2+4x+3)=0

x^2+4x+3=0

x^2+3x+x+3=0

x(x+3)+1(x+3)=0

(x+1)(x+3)=0

x+1=0\implies x=-1

x+3=0\implies x=-3

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2

g(x)=2(x^2+4x)+6

g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6

g(x)=2(x+2)^2-2

By comparing with the equation of parabola

y=a(x-h)^2+k

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2,\infty)

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0
3 years ago
Brad bought a used bike for $8 more than half of its original price. Brad paid $40 for the bike. What was the original price?
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\huge\boxed{\$64}

Start by writing a formula, where x is Brad's purchase price and y is the original price.

40=8+\frac{y}{2}

Subtract 8 from both sides.

32=\frac{y}{2}

Multiply both sides by 2.

\boxed{64}=y

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2 years ago
What is true about the interior and exterior angle measures of any triangle
elena-s [515]
Interior angles of a triangle=180
Exterior angles = 360
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Stels [109]
Right 2 up 3 because when the change happens within x the opposite result happens but for vertical it remains the same . So the answer is <span>right 2, up 3</span>
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Answer:

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