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2 years ago

ASAPPP TIMED QUIZ

Mathematics

2 answers:

Serjik [45]2 years ago

8 0

I think they answe is either c or d probably c

Lemur [1.5K]2 years ago

5 0

Answer:c.-2.5 is answer

sorry I cannot do this.I didn't found z over here. I think question is

.25^(z+ 4) = 125

5^(2z+8)=5³

again

2z+8=3

2z=3-8

2z=-5

z=-5/2=-2.5

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1. Find the vertex of the following: y = (x - 4)(x - 10) *

horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

$\frac{-b}{2a}$

First make the equation into a quadratic equation.

$(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40$

Now it is in the form

$ax^{2} +bx+c=0$

Now we can substitute the values

$\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7$

Now we have 7 as our x value for the vertex we can substitute for y,

$x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9$

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

$x-4=0\\x=4\\\\x-10=0\\x=10$

4 is slightly different but start the same,

$(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9$

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

$2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30$

Vertex,

$\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1$

Substitute,

$2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32$

So the vertex is (-1,-32)

8 0

3 years ago

So sorry for asking for so much help but I seriously don't understand what to do for this assignment

astraxan [27]

Answer:

I'll probably come back and do this later.

Step-by-step explanation:

How to Round:

If the number following the number you're going to round up is 5 or above, (5, 6, 7, 8, or 9), then round up. (E.X. 29 rounded up is 30. Since 9 is above 5, you will round up.

On the other hand, if the number following the number you're going to round is 4 or below, (4, 3, 2, or 1), you don't round up, instead you keep it the same, and if they're are decimals, you turn the following numbers to 0s. (E.X. 32.4536 rounded to the nearest hundredth (32.4536) is 32.45. Since 3 is less than 4, you're not going to round up. The number in the hundredth's place stays the same (5), and the following rest turn to 0s. Leaving you with 32.45

Let me know if this helped. :)

6 0

2 years ago

Read 2 more answers

What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

yawa3891 [41]

The equation of circle is:
(x-a)^2+(y-b)^2=r^2 where C(a, b) is the center.
In order to find r you have to find the distance between C(-2, 1) and let's say A(-4, 1)

The formula for distance is:
$\sqrt{ ( y_{A}-y_{C )^{2} + (x_{A}- x_{C )^{2} }$
r = 2

The equation of circle is
(x+2)^2+(y-1)^2=4

I hope that this is the answer that you were looking for and it has helped you.

5 0

2 years ago

Given g(x)=Squareroot x-4 and h(x)=2x-8, what is g(h(10))

yan [13]

Answer:

$g(h(10)) = 2\sqrt 2$