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3 years ago

What is the next number in the sequence below?

Mathematics

2 answers:

amid [387]3 years ago

7 0

It’s B. 8
The pattern is it decreases by 1/2 each time.
Mark brainliest if satisfied!

zysi [14]3 years ago

3 0

Answer is
B. 6
It’s dividing by 2

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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

Give the difference of 8/13 and 5/13<br><br> A. 3/13<br> B. 8/13<br> C. 5/13

nikitadnepr [17]

Answer:

3/13

Step-by-step explanation:

8/13 subtract by 5/13. If the denominator is the same, you keep it, don't change it. Just subtract the numerator.

Make sure to simplify, if it is already simplified that will be the answer.

5 0

2 years ago

Read 2 more answers

There are exactly 8 boys for every 2 girls. There is 46 girls how many boys are there?

expeople1 [14]

It would be 23 girls if you divide 46 by 2 since your trying to figure out the amount of boys for 46 girls.

8 0

3 years ago

Read 2 more answers

A powdered drink mix calls for a ratio of powder to water of 1:8. If there are 32 cups of powder, how many total cups of water a

Kruka [31]

256 are needed because 32x1=32 that means the ratio would be 32:256 because 8 x 32 = 256
The final ratio would stay the same as 1:8 though because it would be simplified.
Hope this helped.

7 0

3 years ago

How would you solve this problem? (Worth 10 points, pls help!)

mrs_skeptik [129]

Answer:

(22,0)

Step-by-step explanation:

1. Select any two points given and find their slope (rise/run)

(-38, 40) and (-23, 30)

slope = $\frac{40-30}{-38-(-23)}$ = - 2/3

2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.

y = mx + b ⇒ 40 = -2/3 (-38) + b

3. Solve for b

40 = -2/3 (-38) + b

40 = 76/3 + b

40 - 76/3 = b

b = 44/3

4. To find the x-intercept, set y = 0, and solve.

y = -2/3 x + 44/3

0 = -2/3 x + 44/3

2/3 x = 44/3

x = 22

Hope this helped!

5 0

2 years ago