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3 years ago

Order the numbers from least to greatest -3/4, -4/15, -2/5

Mathematics

1 answer:

barxatty [35]3 years ago

4 0

Answer:

-3/4, -2/5, -4/15

Step-by-step explanation:

using calculator, -3/4 = -0.75, -4/15 = -0.266666..., -2/5 = -0.40

imagine that -0.75, -0.26... and -0.40 are temperatures

the coolest temperature is -0.75, the warmest one is -0.26...

so the least number is -0.75, greater -0.40 and the greatest -0.26...

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Find the real or imaginary solutions of each equation by factoring

anyanavicka [17]

Sum of 2 perfect cubes
a³+b³=(a+b)(x²-xy+y²)
so

x³+4³=(x+4)(x²-4x+16)
set each to zero
x+4=0
x=-4

the other one can't be solveed using conventional means
use quadratic formula
for
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^2-4ac} }{2a}$
for x²-4x+16=0
x= $\frac{-(-4)+/- \sqrt{(-4)^2-4(1)(16)} }{2(1)}$
x= $\frac{4+/- \sqrt{16-64} }{2}$
x= $\frac{4+/- \sqrt{-48} }{2}$
x= $\frac{4+/- (\sqrt{-1})(\sqrt{48}) }{2}$
x= $\frac{4+/- (i)(4\sqrt{3}) }{2}$
x= $2+/- 2i\sqrt{3}$

the roots are
x=-4 and 2+2i√3 and 2-2i√3

8 0

3 years ago

On the grid draw the graph of y = 3x + 2 for values of x + 2 for values of x from -2 to 2

sladkih [1.3K]

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided equation $y=3x+2$

We need to draw the graph of the equation.

Put x=0 in the above equation.

$y=3(0)+2$

$y=2$

The coordinate is (0,2).

Put y=0 in the given equation.

$0=3x+2$

$-2=3x$

$x=\frac{-2}{3}$

The coordinate is ( $\frac{-2}{3}$ ,0).

Now draw the graph by using the above coordinates.

The required graph is shown below.

6 0

3 years ago

Given the diagram below find x, and the measure of

Sophie [7]

Answer:

8, 40 , 50

Step-by-step explanation:

the measure of A is 90°

so 5x + 7x - 6 = 90

now.. to find the x

5x + 7x - 6 = 90

5x + 7x = 90 + 6

12x = 96

x = 96/12

x = 8

so the measure of angle A1 is (5*8) = 40

the measure of angle A2 is (7*8-6) = 50

finaly the angle A is (50+40) = 90

8 0

4 years ago

X^2+y^2+14x+10y=7 <br> center and radius

Sholpan [36]

$(x-a)^2+(y-b)^2=r^2\\\\(a;\ b)-the\ coordinates\ of\ the\ center\\r-the\ radius\\\\==================================\\Use:(k+l)^2=k^2+2kl+l^2\ (*)\\==================================$

$x^2+y^2+14x+10y=7\\\\x^2+14x+y^2+10y=7\\\\x^2+2x\cdot7+y^2+2y\cdot5=7\\\\\underbrace{x^2+2x\cdot7+7^2}_{Use\ (*)}-7^2+\underbrace{y^2+2y\cdot5+5^2}_{Use\ (*)}-5^2=7\\\\(x+7)^2-49+(y+5)^2-25=7\\\\(x+7)^2+(y+5)^2-74=7\ \ \ \ |add\ 74\ to\both\ sides\\\\(x+7)^2+(y+5)^2=81\\\\(x+7)^2+(y+5)^2=9^2$

$Answer:\\\boxed{(-7;-5)-center;\ 9-radius}$

8 0

3 years ago

Read 2 more answers

Estimate the average rate of change from x 1 to x = 4. Enter your estimate as a decimal number (not as a fraction), rounded to o

anzhelika [568]

Answer:Mark brainliest please

Answer is - 0.5

Step-by-step explanation:

8 0

3 years ago