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1 year ago

Can I find a tutor to help me bro ?

Mathematics

1 answer:

nignag [31]1 year ago

3 0

Solution

Given the quadratic equation:

x² + 2x + 7 = 21

x² + 2x + 7 - 21 = 0

x² + 2x - 14 = 0

a = 1, b = 2, c = - 14

(1) The number of solutions of a given quadratic equation is determine by the discriminant.

From the given values;

(2)² - 4(1 x -14) = 4 + 56 = 60

60 > 0 ( 2 solutions)

1 positive solution and 1 negative solution

Thus, number of positive solutions to this equation is one

(2) The greatest solution or positive solution to the equation is calculated as;

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Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.

sweet [91]

Answer:

2 $\frac{1}{20}$

Step-by-step explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7 $\frac{1}{4}$ = 7x4 + 1 = 29

Thus, improper fraction would be $\frac{29}{4}$

do same thing for other one

thus , $\frac{26}{5}$

now,

$\frac{29}{4}$ - $\frac{26}{5}$

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

$\frac{145}{20} -\frac{104}{20}$ = $\frac{41}{20}$

convert back to mixed number

2 $\frac{1}{20}$

5 0

3 years ago

Read 2 more answers

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −2x+3y=12?

givi [52]

We are given first equation: −2x+3y=12.

Converting it in slope-intercept form

3y=2x + 12

y= 2/3 x + 12/3

y= 2/3 x + 4.

<em>Slope of the given equation is 2/3.</em>

<em>Note: When slopes are same, lines would be parallel.</em>

<em>When slope are negative reciprocals, lines would be perpendicular.</em>

<em>When neither same nor negative reciprocal, the lines neither parallel nor perpendicular.</em>

1) First option : -2x+y=12.

In slope-intercept form y = 2x +12.

Slope is 2 there.

<h3>Neither parallel nor perpendicular to the line −2x+3y=12.</h3>

2) 3x+2y=-2

In slope-intercept form y = -3/2 x - 1.

Slope = -3/2.

Slope are negative reciprocal to slope of −2x+3y=12 equation.

<h3>Therefore, lines are perpendicular.</h3>

3) y=2/3x-1

Slope = 2/3.

<h3>Slopes are same therefore lines are parallel.</h3>

4) -2x+3y=11

y = 2/3 x + 11/3.

<h3>Slopes are same therefore lines are parallel.</h3>

4 0

4 years ago

Solve each of the following equations

gladu [14]

Look at the photo I’ve attached

7 0

3 years ago

Pls help me on B asap

Zanzabum

Take the common denominator and divide by 3 then youll get 58

3 0

3 years ago

Part of the graph representing an electrical signal is shown. The voltage rises steadily from an initial value (A) to a maximum

spin [16.1K]

Hello,

I suppose C is at the same altitude as A
else we can't anwser.
C=(4;1)

Slope of AB= (3-1)(4-1)=2/3

The equation of CD is

y-1=2/3(x-4)
==>3y-3=2x-8
==>3y-2x=-5

Answer is C

7 0

4 years ago

Read 2 more answers