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4 years ago

Help me Please!! Ive got a deadline!! Thanks! (:

Mathematics

1 answer:

saul85 [17]4 years ago

3 0

The equation in standard form is 2x^2 + 7x - 15=0. Factoring it gives you (2x-3)(x+5)= 0. That's the first one. The second one requires you to now your formula for the axis of symmetry which is x = -b/2a with a and b coming from your quadratic. Your a is -1 and your b is -2, so your axis of symmetry is
x= -(-2)/2(-1) which is x = 2/-2 which is x = -1. That -1 is the x coordinate of the vertex. You could plug that back into the equation and solve it for y, which is the easier way, or you could complete the square on the quadratic...let's plug in x to find y. -(-1)^2 - 2(-1)-1 = 0. So the vertex is (-1, 0). That's the first choice given. For the last one, since it is a negative quadratic it will be a mountain instead of a cup, meaning it doesn't open upwards, it opens downwards. Those quadratics will ALWAYS have a max value as opposed to a min value which occurs with an upwards opening parabola. This one is also the first choice because of the way the equation is written. There is no side to side movement (the lack of parenthesis tells us that) so the x coordinate for the vertex is 0. The -1 tells us that it has moved down from the origin 1 unit; hence the y coordinate is -1. The vertex is a max at (0, -1)

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Approximate √52 to the tenths place

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manu took a loan of Rs 5000 for one year at 12%per annum compounded quarterly .How much he has to pay after one year.

Shkiper50 [21]

Answer:

Amount pay after one year for compounded quarterly = Rs 5627.54

Step-by-step explanation:

Given as,

Manu took loan of Rs 5000 , So, Principal = Rs 5000

The rate of interest applied = 12% per annum compounded quarterly

The loan took for period of year = one

Now from the compounded method :

For compounded quarterly

Amount = principal $(1 + \frac{Rate}{4\times 100})^{4\times Time}$

Or, Amount = Rs 5000 $(1+ \frac{12}{4\times 100})^{4}$

Or, Amount = 5000 $(\frac{103}{100})^{4}$

Or, Amount = 5000 × 1.1255

∴ Amount = Rs 5627.54

Hence , The amount which Manu pay after one year at 12% per annum compounded quarterly is Rs 5627.54 Answer

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3 years ago

The area of a rectangle is 54cm. The length is 2cm more than a x and the width is 5cm less than twice x. Solve for x. Round your

WITCHER [35]

A rectangle is a quadrilateral and its area is expressed as the product of its length and width. From the given, we have:

Length = x + 2
Width = 2x - 5
Area = 54 cm^2

Area = Length x Width
Substituting the values,
Area = (x + 2) ( 2x-5) = 54
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We can see that the equation above is a polynomial with a degree of 2 therefore we can usethe Quadratic Formula to solve for x. The quadratic formula will solve two values of x.

x1 = (-b + (√b^2 - (4ac))/ 2a = 5.91
x2 = <span>(-b - (√b^2 - (4ac))/ 2a = -5.41

Since, for this case, the value x should not result to a negative value for both dimensions thus x is equal to 5.91.</span>

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3 years ago

Is -6 greater or less than -4?

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-6 is less than -4 when counting down -4 comes before & is therefore greater

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What is 3 and 1 tenth as a desimal

Bess [88]

Representing 3 and one tenth as decimal by 3.1

<u>Step-by-step explanation:</u>

Here 3 is the whole number.

1 tenth is nothing but $\frac{1}{10}$ .

$\frac{1}{10}$ = 0.1

When we write numerals with tenths using the decimals we can use a decimal point also the tenths positioned to the right of the decimal point. The tenth place is denoted as immediately right to the decimal point.

So it is represented as 3.1.

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4 years ago