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iogann1982 [59]
2 years ago
8

Four-fifths of a spinach casserole is leftover after Sam has lunch. Jackie and Alicia each take 1/2 of the left over casserole.

Jackie eats only 7/8 of her portion. What fraction of a whole casserole did Jackie eat? Express your answer as a simplified fraction. ​
Mathematics
1 answer:
valentina_108 [34]2 years ago
6 0

Answer:

1/4

Step-by-step explanation:

Casserole received by Jackie and Alicie = 1/2 x 3/4 = 3/8 of the whole

Portion eaten by Jackie = 2/3 x 3/8 = 1/4 of the whole

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Let’s say Reena and Greg each work for 20 minutes making envelopes. Who will have more envelopes to sell in the flea market? Wha
Veronika [31]

Answer:

The slope of f(x) is greater than g(x). In fact, it is double the slope of g(x). This means Reena can make envelopes two times as fast as Greg. But the y-intercept of g(x) is greater than f(x), meaning at 0 minutes, Greg starts with more envelopes than Reena. If they work for 20 minutes, Greg will have 10 more envelopes than Reena. But if they work longer than 30 minutes, Reena will have a larger stock of envelopes than Greg.

Step-by-step explanation:

answer from Plato

6 0
2 years ago
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
Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund
lbvjy [14]

Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

\sigma=\sqrt{\frac{p*(1-p)}{n} }

If n=1139 and p =0.96, the standard deviation is:

\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836

The minimum and maximum usual values are:

\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n

\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62

5 0
3 years ago
Write the equation of a line in Slope Intercept Form that passes through (−2,3) and has a slope m=4.
Vladimir [108]

The slope is already given in the question so we can find the y-intercept.

Slope-intercept form: y = mx + b

3 = 4(-2) + b

3 = -8 + b

3 + 8 = -8 + b + 8

11 = b

Now, we can write the equation.

y = 4x + 11

Best of Luck!

4 0
3 years ago
Questions:<br>1) 2x2 + 5x + 2 = 0​
xz_007 [3.2K]

Answer:

x = -1/2 and -2

Step-by-step explanation:

Solve for <em>x</em>: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Using the quadratic formula: Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

7 0
3 years ago
Read 2 more answers
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