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3 years ago

Write the quadratic equation in standard form:

Mathematics

1 answer:

djyliett [7]3 years ago

6 0

Answer:

-4x^2+7x +6

Step-by-step explanation:

-7x + x^2 = - 3x^2 + 6

Subtract x^2 from each side

-7x + x^2-x^2 = - 3x^2-x^2 + 6

-7x =-4x^2 +6

Add 7x to each side

-7x+7x =-4x^2+7x +6

0= -4x^2+7x +6

The standard form is Ax^2 +Bx +C

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PLS HELP

dybincka [34]

12.826+2.93= 15.756

Since you have to round it, your final answer would be 15.8

6 0

3 years ago

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Can someone please help me. This is an equation for either an arithmetic or geometric sequence.

djyliett [7]

A6 = -8
a15= -62

There are (15 - 6) terms in between, therefore 9 terms in between.
-8 to -62 ... there is a difference of 54
54 ÷ 9 = 6
Therefore it gets -6 each term.
a6 = -8, a7= -14, a8 = -20 ......

4 0

3 years ago

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In circle O, BC=14 and DC=25. What is the length of diameter BA? -58.6 -12.2 -44.6 -30.6

Savatey [412]

The picture in the attached figure

we know that
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment
so
DC²=BC*CA-----> CA=DC²/BC
DC=25
BC=14
CA=25²/14-----> CA=44.64
CA=BC+BA----> BA=CA-BC----> BA=44.64-14----> BA=30.64

BA is the diameter
hence
the length of diameter BA is 30.64----> round to the nearest tenth---> 30.6

the answer is
the length of diameter BA is 30.6

7 0

3 years ago

The table below models the cost, y, of using a high-efficiency washing machine and a standard washing machine over x number of y

SSSSS [86.1K]

ANSWER:

i) y = 25x + 500

ii) y = 30x + 400

iii) The washing machines would cost the same amount after 20 years of use

iv) Standard machine

Step-by-step explanation:

We are to determine a straight line equation that models the cost of High-Efficiency washing machine over the years;

The first step step is to determine the slope of the line,

( change in y) / ( change in x ) = (550 - 525) / ( 2 - 1) = 25

The equation is slope-intercept form will be;

y = 25x + c

Where y is the cost of the High-Efficiency washing machine and x the number of years. To determine the y-intercept, c, we use any pair of points given in the data table;

when x = 1, y = 525

525 = 25(1) + c

c = 500

Therefore;

y = 25x + 500

ii)

The straight line equation that models the cost of Standard washing machine over the years;

Slope = (460 - 430) / (2 - 1) = 30

The equation is slope-intercept form will be;

y = 30x + c

when x = 1, y = 430

430 = 30(1) + c

c = 400

Therefore;

y = 30x + 400

Where y is the cost of the standard washing machine and x the number of years.

iii)

Given the cost functions for both machines over the number of years, we simply equate the two equations and determine the value of x when both machines would cost the same amount;

We have the cost functions;

y = 25x + 500

y = 30x + 400

Equating the two and solving for x;

25x + 500 = 30x + 400

500 - 400 = 30x - 25x

100 = 5x

x = 20

Therefore, the washing machines would cost the same amount after 20 years of use.

iv)

In order to determine which machine would be the more practical purchase if kept for 9 years we use the cost functions obtained in i) and ii)

The cost function of the High-Efficiency washing machine is;

y = 25x + 500

To determine the cost, we solve for y given x = 9

y = 25(9) + 500

y = 725

The cost function of the Standard washing machine is;

y = 30x + 400

We solve for y given x = 9

y = 30(9) + 400

y = 670

Comparing the two values obtained, the cost for the Standard washing machine is more practical.

3 0

3 years ago

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Please help: perimeter of polygon ABCDEF

Bas_tet [7]

Answer:

Step-by-step explanation:

4 0

2 years ago