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3 years ago

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Mathematics

2 answers:

allochka39001 [22]3 years ago

8 0

Answer:

1) y = 41

2) y = 4

Step-by-step explanation:

kifflom [539]3 years ago

4 0

Equation #1
y - 17 = 24
y = 24 - 17
y = 7

Equation #2
3 (2y - 4 ) = 12
6y - 12 = 12
y = ( 12 + 12) : 6
y = 24 : 6
y = 4
Verify :
3 (2•4 - 4) = 12
3 ( 8 - 4 ) = 12
24 - 12 = 12
12 = 12

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How many real number solutions does the equation have

Ksju [112]

You have to find the discriminat b^2 -4ac

If it is > 0, the function has two real solutions
if it is = 0, the function has one real solution
if it is <0, the function has no real solution

6^2 - 4(7)(3) = 36 - 84 = - 48

Answer c. no solution

5 0

3 years ago

WHO CAN solve it Please !

Mariulka [41]

Answer:

a) True

$\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0$

Step-by-step explanation:

Step(i):-

Given that the definite integration

$\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha$

we know that the trigonometric formula

sin²∝+cos²∝ = 1

cos²∝ = 1-sin²∝

step(ii):-

Now the integration

$\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha = \int\limits^\pi _0 {(\sqrt{cos^{2} \alpha } } \, )d\alpha$

= $\int\limits^\pi _0 {cos\alpha } \, dx$

Now, Integrating

$= ( sin\alpha )_{0} ^{\pi }$

= sin π - sin 0

= 0-0

= 0

Final answer:-

$\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0$

5 0

3 years ago

A football is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 64t, where t equals the tim

diamong [38]

The function $H(t) = -16t^2 + 64t$ exists in a parabola.

The axis of symmetry of a parabola exists at the midpoint between the two real roots.

The roots exist the solutions of H(t) = 0

To estimate the roots equation exists $-16t^2 + 64t = 0$

Factor t(-16t + 64) = 0

t = 0 and -16t + 64 =0

-16t + 64 = 0

t = 64 / 16 = 4

t = 4

Then the two roots are t = 0 and t = 4, and the axis of symmetry exists

t = (0+4)/2 = 4/2 = 2

<h3>How to estimate the axis of symmetry?</h3>

The axis of symmetry exists at t = 2.

It represents the time at which the ball is at the higher point, the maximum height.

You can find the maximum height replacing t = 2 in the function H(t)

$H(t) = -16(2^2) + 64(2)$

= 64 feet.

And you can also deduce that the second part of the flight will take 2 seconds, for a total flight time of 4 seconds.

To learn more axis of symmetry refers to:

brainly.com/question/21191648

#SPJ4

8 0

2 years ago

-7x - 4y = 28 What is the x and y intercept

nydimaria [60]

Step-by-step explanation:

x-int

-7x=28

x=-4

(-4,0)

-4y=28. y-int

y=-7

(0,-7)

6 0

3 years ago

What is the difference of 7x − (25x2 + 12x)

Sav [38]

If you would like to solve 7x - (25x^2 + 12x), you can do this using the following steps:

7x - (25x^2 + 12x) = 7x - 25x^2 - 12x = - 25x^2 - 5x

The correct result would be - 25x^2 - 5x.

7 0

3 years ago