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3 years ago

How many, and what type of solutions, does 6x squared - 2x + 7 = 0 have

Mathematics

1 answer:

harkovskaia [24]3 years ago

5 0

Answer:

the correct answer is 2 no real solurions hope this helps

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2^x + 3^y = 9<br>2^x+1 - 3^y+1=8<br>find x and y

Taya2010 [7]

Suppose :

2^x = t ..**&**.. 3^y = u

_____________________________

t + u = 9 × 3 3t + 3u = 27

=====》

2t - 3u = 8 2t - 3u = 8

+ __________

5t = 35

5 × t = 5 × 7

t = 7

u = 2

________________________________

Thus :

2^x = 7 ===》 x = Log _ 2 { 7 }

3^y = 2 ===》 y = Log _ 3 { 2 }

8 0

3 years ago

John runs 4 miles in 30 minutes. at the same rate, how many miles would he run in 48 minutes?

dimulka [17.4K]

Make a ratio, then cross multiply.

4/30=x/48

30x=4x48
30x=192
x=6.4

3 0

3 years ago

Which expression is equivalent to √48x5, if x> 0?

Lerok [7]

Answer:

C. 4x²√(3x)

Step-by-step explanation:

if x > 0

$\sqrt{48x^{5}} =\sqrt{48} \times \sqrt{x^{5}}$

$=\sqrt{16\times 3} \times \sqrt{x^{4}\times x}$

$=\sqrt{16} \times \sqrt{3} \times \sqrt{x^{4}} \times \sqrt{x}$

$=4\times \sqrt{3} \times \sqrt{\left( x^{2}\right)^{2} } \times \sqrt{x}$

$=4\times \sqrt{3} \times x^{2}\times \sqrt{x}$

$=4\times x^{2} \times \sqrt{3} \times \sqrt{x}$

$=4\times x^{2}\times \sqrt{3x}$

8 0

1 year ago

RESPOND QUICK

mrs_skeptik [129]

Answer:

Step-by-step explanation:

3/24=9/72 3*3=9 24*3=72 x=3

3/9=y/12 9/3=3 12/3=4 y=4

X=3 y=4

6 0

3 years ago

Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles. The length of P Q is 20, the length of Q R is 16,

dimaraw [331]

Answer:

$\angle P$

Step-by-step explanation:

Given

$\triangle PRQ = \triangle TSU = 90^o$

$PQ = 20$ $QR = 16$ $PR = 12$

$ST = 30$ $TU = 34$ $SU = 16$

<em>See attachment</em>

Required

Which sine of angle is equivalent to $\frac{4}{5}$

Considering $\triangle PQR$

We have:

$\sin(P) = \frac{QR}{PQ}$ --- i.e. opposite/hypotenuse

So, we have:

$\sin(P) = \frac{16}{20}$

Divide by 4

$\sin(P) = \frac{4}{5}$

Hence:

$\angle P$ is correct

7 0

3 years ago