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Dafna11 [192]
3 years ago
7

7x+3y =-4 X-5y=-6 substitution please explain

Mathematics
1 answer:
inysia [295]3 years ago
4 0
First you have to isolate one of the equations for y=mx+b.
Then substitute the equation is made into the first equation
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State the X- and Y- intercepts of each function. <br> 4x - 6y = 12
kupik [55]
X  is 3
y is 2
you have to replace x with a zero and divide 12 by it and then you do the same for y
5 0
3 years ago
A firecracker reaches a height of h feet before it bursts. The height h is modeled by h = −16t2 + vt + c, where v is the initial
daser333 [38]

General Idea:

If we have a quadratic function of the form f(x)=ax^{2} +bx+c , then the function will attain its maximum value only if a < 0 & its maximum value will be at x=-\frac{b}{2a} .

Applying the concept:

The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Substituting 15 for c and 100 for v, we get the function as h=-16t^2+100t+15.

Comparing the function f(x)=ax^{2} +bx+c with the given function h=-16t^{2} +100t+15, we get a = -16, b = 100 and c=15.

The maximum height of the soccer ball will occur at t=\frac{-b}{2a}=\frac{-100}{2(-16)} = \frac{-100}{-32}=3.125 seconds

The maximum height is found by substituting t=3.125 in the function as below:

h=-16(3.125)^2+100(3.125)+15=171.25 feet

Conclusion:

<u>Yes !</u> The firecracker reaches a height of 100 feet before it bursts.

6 0
3 years ago
Jack is placing glass bottles into boxes to recycle. He can fit 12 bottles in each box.
djverab [1.8K]
His estimation is not reasonable because if you can only fit 12 bottles in a box and he has 10 boxes then he could only fit 120 out of the 200 bottles so he is short on boxes
6 0
3 years ago
Please help me<br> Find product
katrin [286]

Simplify the expression.

2 x ^2 +2 x y − 4 y ^2

3 0
2 years ago
An iscoclees triangle may be right or acute but never obtuse
Free_Kalibri [48]

Answer:

An isosceles triangle is a triangle in which the two sides of the polygon are equal as well as the angles opposite to these sides are also corresponding

4 0
3 years ago
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