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3 years ago

Solve the system of nonlinear equations: 4x - y = 4 x^2 - y = -1

Mathematics

1 answer:

rjkz [21]3 years ago

6 0

(x1, y1) = (3,8)
(x2, y2) = (1,0)

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4x – 3y=8<br> 2. 5x – 2y = -11

AlladinOne [14]

Answer:

$x = -7$

$y = - 12$

Step-by-step explanation:

The given system is:

4x-3y=8

5x-2y=-11

We make x the subject in the top equation to get:

$x = \frac{3}{4}y + 2$

Plug this expression for x in the bottom equation to get

$5( \frac{3}{4}y + 2) - 2y= - 11$

We expand to obtain

$\frac{15}{4} y + 10 - 2y = - 11$

Multiply through by 4

$15y + 40 - 8y = - 44$

Group similar terms

$15y - 8y = - 44 - 40$

$7y = - 84$

$y = - \frac{84}{7} =-12$

This means

$x = -12\times \frac{3}{4} + 2$

$x = - 7$

6 0

3 years ago

Tom has a fair spinner with six sides.

77julia77 [94]

Answer:

likely ❤️❤️❤️❤️❤️❤️❤️

3 0

3 years ago

Slav-nsk [51]

Let k be the scale factor relating two similar prisms $P_{1}$ and $P_{2}$ , such that for corresponding parts of prisms $P_{1}$ and $P_{2}$ (for heights, in particular) we have $k= \frac{height\ of \ P_{1} }{height \ of\ P_{2} }$ . In our case $k= \frac{4}{10} = \frac{2}{5}$ .
For surfaces area we have $\frac{Surface \ area \ of \ P_{1} }{Surface \ area \ of \ P_{2}} = k^{2} =( \frac{2}{5} )^{2}= \frac{4}{25}$ .
So, the right answer is 4:25 (choice B)

4 0

3 years ago

C equals 2 pi r; Cequals62.8 (Circumference of a circle)

tatuchka [14]

Answer:

about 10

Step-by-step explanation:

62.8 = 2 pi r/2

62.8/2 = pi r

31.4/pi = pi r/pi

about 10 = r

3 0

3 years ago

6x + 14 = 20<br> Show your work <br> Solve the equation

DIA [1.3K]

Answer:

X = 1

Step-by-step explanation:

subtract 14 from both sides

6x = 6

divide both sides by 7

X = 1

5 0

2 years ago

Read 2 more answers