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3 years ago

Select the equation that most accurately depicts the word problem.

Mathematics

1 answer:

Tomtit [17]3 years ago

6 0

Answer:

x+×+2×=36

Step-by-step explanation:

hope this helps

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Alan sells electronics, earning a base wage of $320 for one week, and a commission equal to 5% of his sales. he needs to earn at

aksik [14]

Answer:

320 +0.05s ≥ 600
sales ≥ $5600

Step-by-step explanation:

For sales of 's', Alan's earnings will be ...

320 +0.05s

He wants that to be at least 600, so the inequality is ...

320 +0.05s ≥ 600

Its solution is found by subtracting 320 and dividing by 0.05.

0.05s ≥ 280

s ≥ 5600

Alan's weekly sales must be at least $5600 for his earnings to cover his expenses.

5 0

3 years ago

Write an inequality to represent the graph. a solid line passing through points 0 comma negative 7 and 3 comma negative 5 with s

lesantik [10]

Answer:

$y> \frac{2x}{3} -7$

Step-by-step explanation:

The equation of the straight line passing through the points (0,-7) and (3,-5) will be $\frac{y-(-7)}{-7-(-5)} =\frac{x-0}{0-3}$

⇒ $\frac{y+7}{2} =\frac{x}{3}$

⇒ $y=\frac{2x}{3} -7$ ......... (1).

Now, the inequality shades the upper portion of the straight line.

Therefore, the y value for the inequality will be more than y value for the equation corresponding to a fixed value of x.

Hence, the inequality equation will be $y> \frac{2x}{3} -7$ . (Answer)

4 0

3 years ago

Help me solve this please

damaskus [11]

1) A quadratic will have no real roots when its discriminant is negative

$0 = ax^2 + bx + c = x^2 + 2k x + (4k-3)$

$d = b^2 - 4ac = (2k)^2 - 4(1)(4k-3) = 4k^2 - 16k + 12 < 0$

Dividing by 4,

$k^2 - 4 k + 3 < 0 \quad\checkmark$

We have a positive coefficient on k^2 so this parabola is a CUP (concave up positive) so has a minimum at the vertex. If the vertex y value is less than zero, the inequality will be true in the range between the zeros.

$(k-3)(k-1)$

That's true for

$1 < k < 3$

2) We look for the meet of the line and the parabola:

$2x + k + 2 = 2x^2 + (k+2)x + 8$

$0 = 2x^2 + kx + (6-k)$

For two intersections we need a positive discriminant:

$k^2 - 4(6-k)(2) > 0$

$k^2 + 8k - 48 > 0$

$(k+12)(k-4) > 0$

That's means two negative or two positive, so

$k < 12$ or $k > 4$

6 0

3 years ago

A plane flies 450 miles with the wind, and 350 miles against the wind (in the same amount of time). If the wind is blowing at 30

adell [148]

Answer: = 240 mph.

Step-by-step explanation:

Let x = speed of the plane.

t= time taken

As per given, we have

$t=\dfrac{450}{x+30}\ \ \ ...(i)\\\\ t=\dfrac{350}{x-30}\ \ \ ...(ii)$ [Time = distance / speed]

From (i) and (ii), we get

$\dfrac{450}{x+30}=\dfrac{350}{x-30}\\\\\Rightarrow\ 450(x-30)=350(x+30)\\\\\Rightarrow\ 450x-13500=350x+10500\\\\\Rightarrow\ 450x-350x=10500+13500\\\\\Rightarrow\ 100x=24000\\\\\Rightarrow\ x=240$

Hence, the speed of the plane = 240 mph.

7 0

2 years ago

Jane and your Andrea pick apples Andrew pics three times as many pounds as Maria Jane pics two times as many pounds as Andrew th

koban [17]

Andrea picked 340 pounds

3 0

3 years ago