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FinnZ [79.3K]
2 years ago
12

Find all real zeros of tf(x)=x-14x² + 47x-18​

Mathematics
1 answer:
BabaBlast [244]2 years ago
4 0

Answer:

x=3/7 and x= 3

Step-by-step explanation:

First simplify:

-14 x^2 +48x -18

divide everything by -2

-2(7 x^2 -24x +9) (Multiply the leading coefficient 7 by the constant 9)

-2 (x^2 -24x +63)

-2 [(x-3)(x-21)] Now divide the 7 that you multiplied earlier from 3 and 21

-2 [(x-3/7)(x-21/7)]

-2 [(7x-3)(x-3)]

Hence, the zeroes are 3/7 and 3

Hope this helps!

If you think I helped, Please mark brainliest! Would really appreciate!

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What is 11 minus a number to equal -3
NNADVOKAT [17]

Answer:

14

Step-by-step explanation:

11  - n = -3

-n = -3 - 11 = -14

n = 14

OR

add n to both sides of equation and add 3 to both sides of equation:

11 - n + n + 3 = -3 + n + 3 ----> n = 14

3 0
2 years ago
On Monday the price of one share of Webb company stock was 24.85. By Friday the price was 25.004. By how much did the price chan
ella [17]

Answer:

Change in price = 0.154

Step-by-step explanation:

Given that,

The price on Monday = 24.85

The price on Friday = 25.004

We need to find the change in price from Monday to Friday. It can be calculated as follows :

Change = 25.004 - 24.85

= 0.154

So, the required change in the price is equal to 0.154 .

8 0
3 years ago
Equation of a line through (-1,-10) which is parallel to the line y=4x+3 has (need the slope and y intercept ) please help
valina [46]
Parallel lines have the same slope but different y intercepts

Slope: 4
y=4x+b
this is the new equation, plug in the point
-10=4(-1)+B
-10=-4+B
add 4
-6=B

Y intercept= -6
slope; 4
8 0
3 years ago
Twenty two quarts is equivalent to how many gallons?<br> 4.5<br> 5.5<br> C<br> 6.5<br> 7.5
marysya [2.9K]

Answer:

5.5 gallons

Step-by-step explanation:

There are 4 quarts in 1 gallon.

22 ÷ 4 = 5.5

I hope this helps :)

4 0
3 years ago
Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos &#10;y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
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