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3 years ago

7

Sqrt(3x)-1=-4 1.)x=3 2.)x=-3 3.) no solution 4.)x= 25/3

1 answer:

shtirl [24]3 years ago

8 0

The correct Answer Is NO SOLUTION

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Instructions:Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Aleks [24]

Call T the price of the T-shirts and P de price of the jeans

Initially (without discount)
2T + P = 40

One month later (half prices)
2 (T/2) + 5(P/2) = 60
T +5P/2 = 60

To solve the system of equations multiply the second equation by 2 and substract it from the first equation

   2 T + 5P = 120
- (2 T +   P = 40 )
________________

   4P = 80

P = 80/4
P = 20

From 2T + P = 40

T = (40 - P) / 2 = (40 -20) / 2 = 20/2 = 10.

The price of a T-shirt is $10 and the price of a pair of jeans is $20.

4 0

3 years ago

Solve for x in the equation x²-12x+59=0

lyudmila [28]

${x}^{2} - 12x + 59 = 0 \\ {x}^{2} - 12x + 36 + 23 = 0 \\ {x}^{2} - 12x + 36 = - 23 \\ {(x - 6)}^{2} = - 23 \\ x - 6 = + - \sqrt{ - 23} = + - i \sqrt{23} \\ x = 6 + - i \sqrt{23}$

mean

$x = 6 + i \sqrt{23}$

or

$x = 6 - i \sqrt{23}$

7 0

3 years ago

Read 2 more answers

10. Polygon WXYZ has vertices W(-1.5, 1.5),

vovikov84 [41]

Answer:

See explanation

Step-by-step explanation:

Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).

Find the slopes of all sides:

$WX:\ \dfrac{1.5-1.5}{6-(-1.5)}=\dfrac{0}{7.5}=0$ - horizontal line

$XY:\ \dfrac{-4.5-1.5}{6-6}=\dfrac{-6}{0}$ - slope undefined, so the line is vertical

$YZ:\ \dfrac{-4.5-(-4.5)}{-1.5-6}=\dfrac{0}{-7.5}=0$ - horizontal line

$ZW:\ \dfrac{1.5-(-4.5)}{-1.5-(-1.5)}=\dfrac{6}{0}$ - slope undefined, so the line is vertical

Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle

6 0

3 years ago

I need help To find gradient and y-intercept...

suter [353]

Answer:

a) the gradient of the linear graph is: $\mathbf{\frac{-1}{3} }$

b) the y-intercept of linear graph is -1

Step-by-step explanation:

a) Find the gradient of the linear graph.

The formula used to find gradient is same as slope

$Gradient=\frac{Change \ in \ y \ coordinate}{Change \ in \ x \ coordinate}\\or\\Gradient=\frac{y_2-y_1}{x_2-x_1}$

Take any 2 points from the graph.

I will take: (-3,0) and (0,-1)

Putting values in formula and finding gradient

$Gradient=\frac{y_2-y_1}{x_2-x_1} \\Gradient=\frac{-1-0}{0-(-3)} \\Gradient=\frac{-1}{3}$

So, the gradient of the linear graph is: $\mathbf{\frac{-1}{3} }$

b) Find the y-intercept of linear graph

The y-intercept of linear graph is the value of y at the point where the line crosses the y axis.

So, in the given graph, that point is -1

So, the y-intercept of linear graph is -1

3 0

2 years ago

(3x + 6)-x-x in simplest form??

Mkey [24]

Answer:

x - 6

Step-by-step explanation:

Step 1:

( 3x + 6 ) - 2x

Step 2:

3x - 6 - 2x

Answer:

x - 6

Hope This Helps :)

7 0

3 years ago