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Marta_Voda [28]
3 years ago
15

Picture above please solve

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
6 0

Answer:

1) 3x(3x-1)

2)5(9x^2-3x+1)

Andrei [34K]3 years ago
6 0

Answer:

  1. 3x(3x - 1)
  2. 5(9x^{2} - 3x + 1)  

I hope this helps!

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A softball player throws a ball into the air with an initial velocity of 32 feet per second. The ball is released at a height of
Flura [38]

The time that the ball is in the air if the player lets the ball drop is 2.145 sec

What is a quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax²+ bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

-16t²+32t+5

by comparing this equation to the standard form of the quadratic equation we get

a=-16 b=32 c=5

the time (t) needed for the ball to reach its maximum height using the axis of symmetry formula (x = -b/2a) for a parabola:

the time at which the ball reaches the maximum height using the axis of symmetry formula is (x=-b/2a)

t = -32/2×-16

t=1sec

by putting h(t) to zero and determining the time (t) when the ball hits the ground:

-16t²+32t+5=0

-16(t²+2t+5/16)=0

t²-2t-5/16=0

(t)²-2×1×t+(1)²-5/16=1

(t-1)²=21/16

t-1=√21/√16

t=1+4.58/4

t=1+1.145

t=2.245sec

Learn more about quadratic equations here:

brainly.com/question/1214333

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6 0
1 year ago
A student is trying to calculate his semester average. He knows that his test average is an 80, his quiz average is a 72, homewo
ELEN [110]
You have to multiply and divide the 20% time the 30
4 0
3 years ago
Identify the quadratic function from the four functions
Alchen [17]

Quadratic Function is a function that takes the equation form of:

\large \boxed{y = a {x}^{2}  + bx + c}

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

<u>Vertex</u><u> </u><u>Form</u>

\large \boxed{y = a {(x - h)}^{2}  + k}

<u>Intercept</u><u> </u><u>Form</u>

\large \boxed{y = (ax - b)(bx - c)}

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

\large{ \begin{cases}y =  -  {x}^{2}  - 4 \\ y =  {(x - 1)}^{2}  - 7 \end{cases}}

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

  • The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
  • -x²-4 is in standard form.
  • (x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

<em>Als</em><em>o</em><em> </em><em>let</em><em> </em><em>me</em><em> </em><em>know</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>want</em><em> </em><em>me </em><em>t</em><em>o</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>into</em><em> </em><em>other</em><em> </em><em>form</em><em>.</em><em> </em><em>For</em><em> </em><em>ex</em><em>.</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>vertex</em><em> </em><em>form</em><em> </em><em>to</em><em> </em><em>standard</em><em> </em><em>form</em><em>.</em><em> </em>

Happy Learning and Good Luck with your assignment!

4 0
3 years ago
How many busses are needed to transport 495 people if each bus holds 45 people?
Katarina [22]

Answer: 11

Step-by-step explanation:  You divide 495/45 and you get 11

8 0
3 years ago
Read 2 more answers
Their can u please solve.
Bingel [31]

Answer:

\frac{45}{9} = 5

4 0
3 years ago
Read 2 more answers
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