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2 years ago

How many solutions does the following equation have? 4x+x+3=4x *

Mathematics

1 answer:

kvv77 [185]2 years ago

4 0

Answer:

1 solution

Step-by-step explanation:

4x + x + 3 = 4x (Subtract 4x from both sides)

x + 3 = 0 (Subtract 3 from both sides)

x = -3

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The price of a cap is increased by 25%.By how much percent should its price be

Arada [10]

Answer: 20%

Step-by-step explanation:

7 0

2 years ago

Kanye and jay wanted to see who could run faster in a minute.They both started in the same spot and ran in different directions.

Lena [83]

Answer:

Kanye run faster.

Step-by-step explanation:

Given that,

Time = 1 min = 60 sec

Suppose, we find the speed of kanye and Jay.

According to number line,

Kanye covers the -160m distance and Jay covers the 140 m distance.

Negative sign shows the opposite direction.

We need to calculate the speed of Kanye

Using formula of speed

$v=\dfrac{d}{t}$

Where, v = speed

d = distance

t = time

Put the value into the formula

$v=\dfrac{160}{60}$

$v=2.66\ m/s$

We need to calculate the speed of Kanye

Using formula of speed

$v=\dfrac{d}{t}$

Put the value into the formula

$v=\dfrac{140}{60}$

$v=2.33\ m/s$

The speed of kanye is more than jay.

Hence, Kanye run faster.

6 0

3 years ago

Evaluate each of the following to three significant figures, and express each answer in SI units using an appropriate prefix: (a

Softa [21]

Answer:

a). $4.86\times 10^{-15}$ m

b). $4.21\times 10^{-2}$ m³

c). $7.00\times 10^{3}$ N²

Step-by-step explanation:

In this question we have to convert each option into SI units.

a). $4.86(10^{-6})^{2}$ mm

= $4.86\times (10^{-12})\times (10^{-3} )$ m

= $4.86\times 10^{-15}$ m

b). (348 mm)³

= $(348)^{3}\times (10^{-3})^{3}$ m³

= $42144192\times 10^{-9}$ m³

= $4.21\times 10^{-2}$ m³

c). $(83700)^{2}\times (10^{-3})^{2}$ N²

= $700569\times 10^{4}\times 10^{-6}$ N²

= $7.00\times 10^{9}\times 10^{-6}N^{2}$

= $7.00\times 10^{3}$ N²

7 0

2 years ago

The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.

slamgirl [31]

Answer:

$b=-6\\c=7$

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

$y=a(x-x_1)(x-x_2)$

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

$a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}$

substitute

$y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

Applying the distributive property convert to expanded form

$y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})$

$y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)$

$y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7$

$y=x^2-6x+7$

therefore

$b=-6\\c=7$

7 0

2 years ago

What’s an equation that passes through the ordered pair (3,7)and has a slope of -4

natita [175]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

According to the statement data we have:

$m = -4\\(x, y) :( 3,7)$

Then, the equation is of the form:

$y = -4x + b$

We substitute the given point and find "b":

$7 = -4 (3) + b\\7 = -12 + b\\7 + 12 = b\\b = 19$

Finally, the equation is of the form:

$y = -4x + 19$

Answer:

$y = -4x + 19$

6 0

2 years ago