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Iteru [2.4K]
2 years ago
7

X^2=3x+3 using the quadratic formula,show steps

Mathematics
1 answer:
o-na [289]2 years ago
8 0
X²=3x+3
x²-3x-3=0. have to get 0 on right first
identify a,b,c. a is 1, b is -3, c is -3
now plug in to the quadratic formula...

x = -b±√(b²-4*a*c) / 2a

x = -(-3) ± √((-3)²-4*1*(-3)) / (2*1)

x= 3 ± √(9- -12) / 2

x=( 3 ± √21) /2
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An elevator travels 310 feet in 10 seconds at that speed how far can this elevator travel
frez [133]

Answer:

1,860 per minute and 111,600 per hour

6 0
3 years ago
Given that QT is an altitude of triangle QRS, measure of angle QTS=(6x+36), and QR = 2x – 5, find QR.
Alexeev081 [22]
We know that
if <span>QT is an altitude of triangle QRS
then
</span><span>the measure of angle QTS is equal to 90</span>°
so
6x+36=90-----> 6x=90-36----> x=54/6
x=9
QR=2x-5-----> QR=2*9-5-----> QR=18-5-----> QR=13

the answer is
QR=13
6 0
2 years ago
Read 2 more answers
If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

5 0
3 years ago
A concert cleanup crew has 6 workers and one cleanup kit.
myrzilka [38]

Answer:

Option (D)

Step-by-step explanation:

At every 6 crew workers number of clean up kits required = 1

Therefore, for 1 crew worker number of kits required = \frac{1}{6}

And number of kits required for w workers = \frac{w}{6} = w ÷ 6

If w = 54

Number of kits required = \frac{54}{6}=9

If w = 60

Number of kits required = \frac{60}{6}=10

If w = 66

Number of kits required = \frac{66}{6}=11

Therefore, table given in Option (D) is the correct table.

6 0
3 years ago
Find 9% of $2005.00 <br> Can anyone answer this ASAP!!!
Ket [755]

Step-by-step explanation:

= \frac{9}{100} × 2005

= \frac{3609}{20}

= 180\frac{9}{20} or 180.45

please give me a brainliest answer

8 0
2 years ago
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