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3 years ago

Complete the equation so that it has solutions of –5 and 7 x2 + x + = 0

Mathematics

2 answers:

Mkey [24]3 years ago

5 0

Step-by-step explanation:

${x}^{2} + ( - 5 + 7)x + ( - 5) \times 7 = 0 \\ {x}^{2} + 2x - 35 = 0$

Katarina [22]3 years ago

4 0

Answer:

-2x, -35

x2 + -2x + -35 = 0

Step-by-step explanation:

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Help. Please open powerpoint and help me!

GREYUIT [131]

Answer:

30.4% 

1000 at £1.10

1000 x 1.10 = £1100

35% of 1000 is given away

1000 - 35% = 1000 - 350 = 650 left

35% of £1100 = £385, subtract to get £715 pounds worth of pins left

650 are left, with 385 pounds lost

60% of 650 = 390 pins sold at £3 each

40% of 650 = 260 sold at £5 for 2

3 x 390 = £1170 made from the first lot

260/2 = 130 x 5 = £650 made from the second lot

£1170 + £650 = £1820 from sales

Sales - cost to make - losses (giveaways) = profit value

1820 - 1100 - 385 = 335 pounds of profit

To find the gross profit margin, we take the profit, and find what percentage of the production cost it is.

335 is about 30.45% of 1100

30.45%, which is 30.4% to 1 decimal place.

The user is not responsible for any errors and all care should be taken to validate answer by self before submission.

7 0

3 years ago

Hard question but would help me out

Alekssandra [29.7K]

Answer:

Critical value f(1)=2.

Minimum at (1,2), function is decreasing for $0$ and increasing for $x>1.$

$\left(3,\dfrac{4}{\sqrt{3}}\right)$ is point of inflection.

When 0<x<3, function is concave upwards and when x>3, , function is concave downwards.

Step-by-step explanation:

1. Find the domain of the function f(x):

$\left\{\begin{array}{l}x\ge 0\\x\neq 0\end{array}\right.\Rightarrow x>0.$

2. Find the derivative f'(x):

$f'(x)=\dfrac{(x+1)'\cdot \sqrt{x}-(x+1)\cdot (\sqrt{x})'}{(\sqrt{x})^2}=\dfrac{\sqrt{x}-\frac{x+1}{2\sqrt{x}}}{x}=\dfrac{2x-x-1}{2x\sqrt{x}}=\dfrac{x-1}{2x^{\frac{3}{2}}}.$

This derivative is equal to 0 at x=1 and is not defined at x=0. Since x=0 is not a point from the domain, the crititcal point is only x=1. The critical value is

$f(1)=\dfrac{1+1}{\sqrt{1}}=2.$

2. For $0$ the derivative f'(x)<0, then the function is decreasing. For $x>1,$ the derivative f'(x)>0, then the function is increasing. This means that point x=1 is point of minimum.

3. Find f''(x):

$f''(x)=\dfrac{(x-1)'\cdot 2x^{\frac{3}{2}}-(x-1)\cdot (2x^{\frac{3}{2}})'}{(2x^{\frac{3}{2}})^2}=$

$=\dfrac{2x^{\frac{3}{2}}-2(x-1)\cdot \frac{3}{2}x^{\frac{1}{2}}}{4x^3}=\dfrac{2x^{\frac{3}{2}}-2\cdot\frac{3}{2}x^{\frac{3}{2}}+ 2\cdot\frac{3}{2}x^{\frac{1}{2}}}{4x^3}=$

$=\dfrac{-x+3}{4x^{\frac{5}{2}}}.$

When f''(x)=0, x=3 and $f(3)=\dfrac{3+1}{\sqrt{3}}=\dfrac{4}{\sqrt{3}}.$

When 0<x<3, f''(x)>0 - function is concave upwards and when x>3, f''(x)>0 - function is concave downwards.

Point $\left(3,\dfrac{4}{\sqrt{3}}\right)$ is point of inflection.

4 0

3 years ago

Laura has a job that pays $4,625 monthly. How much is

victus00 [196]

Answer: $804.75

Step-by-step explanation:

The Social Security (OASDI) withholding rate is the gross pay times 6.2% of the maximum pay level for that particular year while the Medicare withholding rate is the gross pay times 1.45 %.

Laura has a job that pays $4,625 monthly. Her Medicare will be:

(1.45% of $4,625) × 12

= 0.0145 × $4625 × 12

= $804.75

4 0

3 years ago

The number 0 can be classified as what?

Contact [7]

I think a whole number?

4 0

3 years ago

How to solve for 1000(x-2)=75000

Andrews [41]

So, first you divide 75000 by 1000. Then you add 2 to each side. Then that's the answer, x=77

8 0

3 years ago

Read 2 more answers

Complete the equation so that it has solutions of –5 and 7 x2 + __ x +__ = 0

Complete the equation so that it has solutions of –5 and 7 x2 + x + = 0