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2 years ago

What is the equation of the quadratic function that has a minimum at (7.-3) and goes through (9.9)?

Mathematics

1 answer:

bixtya [17]2 years ago

7 0

Answer:

X² - 14x + 48= 0

Step-by-step explanation:

To find the quadratic equation well have to look for the root of the equation.

So the roots are at x= 6 and x= 8

The quadratic curve didn't pass the origin .

It intercepted the x axis at 6 and 8 and that's the roots.

So our equation is

(X-6)(x-8)= x²-8x -6x +48

X² - 14x + 48= 0

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Find the smaller of 2 consecutive intergers, x, if the sum of the smaller and 6 times the larger is -29. Write an equation to de

Irina18 [472]

Answer:

x = -5 and x+1( consecutive integer) = -4

obviously x is smaller than the next integer

Step-by-step explanation:

Let the first integer be x

hence the consecutive integer is x +1

according to the give condition

x + 6(x + 1) = -29

x + 6x + 6 = -29

7x = -29 -6

7 x = -35

x = -35/7

x = -5

x + 1 = -5 + 1 = -4

GOOD LUCK FOR THE FUTURE! : )

8 0

2 years ago

PLEASE HELP!! i cant figure out how to do it

vodomira [7]

Answer:

168 and 12

Step-by-step explanation:

use fractions for this think of it as 14/15x and 1/15x and x is 180 and solve from there

3 0

1 year ago

What is the parallel slope intercept form?

satela [25.4K]

Answer:

slope intercept form is y=mx+b

a line parallel to y=-1/5x-1 is any line with the same slope but different y intercept. for example y=-1/5x+1

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )

Zina [86]

Answer:

$\purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ \sqrt{6} }{6} = \frac{1}{ \sqrt{6} } \\ \\ \therefore \: \sin( \alpha ) = \sqrt{1 - { \cos}^{2} ( \alpha ) } \\ \\ = \sqrt{1 - \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} } \\ \\ = \sqrt{1 - {\frac{1}{ {6} }}} \\ \\ = \sqrt{ {\frac{6 - 1}{ {6} }}} \\ \\ \red{\sin( \alpha ) = \sqrt{ { \frac{5}{ {6} }}} } \\ \\ \tan( \alpha ) = \frac{\sin( \alpha ) }{\cos( \alpha ) } = \sqrt{5} \\ \\ \sin( \beta ) = \frac{ \sqrt{2} }{4} \\ \\ \implies \: \cos( \beta ) = \sqrt{ \frac{7}{8} } \\ \\ \tan( \beta ) = \frac{\sin( \beta ) }{\cos( \beta ) } = \frac{1}{ \sqrt{7} } \\ \\ \tan( \alpha - \beta ) = \frac{ \tan \alpha - \tan \beta }{1 + \tan \alpha . \tan \beta} \\ \\ = \frac{ \sqrt{5} - \frac{1}{ \sqrt{7} } }{1 + \sqrt{5} . \frac{1}{ \sqrt{7} } } \\ \\ = \frac{ \sqrt{35} - 1 }{ \sqrt{7} + \sqrt{5} } \\ \\ \purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

8 0

2 years ago

A store is having a sale in which all items are reduced by 20%. Including tax, Jennifer paid $21 for a pair of shorts. If the sa

Tju [1.3M]

Answer: the original price of the shorts was $25

Step-by-step explanation:

Let x represent the original price of the shorts.

The store is having a sale in which all items are reduced by 20%. This means that the amount of discount on the shorts is

20/100 × x = 0.2x

The price of the shorts would be

x - 0.2x = 0.8x

If the sales tax is 5%, then the amount of sales tax charged is

5/100 × 0.8x = 0.04x

The final cost of the shorts would be

0.8x + 0.04x = 0.84x

Including tax, Jennifer paid $21 for a pair of shorts. This means that

0.84x = 21

x = 21/0.84

x = 25

5 0

3 years ago