What is the solution set for the inequality -3x ≥6

1 answer:

6 0

Simply solve for x. Divide both sides by -3. Since you are dividing by a negative, flip the inequality sign. This gives you x<-2.

Note that the answer is x is less than or equal to -2. I am unable to insert the correct symbol on my keyboard.

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A Pairs socks that normally sells for eight dollars is on sale for 15% off find the sale price of the socks then find the total

Lena [83]

Answer:

Step-by-step explanation:

The original selling price of the pair of socks is $8. The pair of socks is on sale for 15%. The new selling price of the pair of socks would be the original price - 15% off the original price. It becomes

8 - (15/100 × 8) = 8 - 0.15×8 = 8 - 1.2 = $6.8

if the sales tax rate is 8%, it means that the total cost of the socks would be the new selling price + 8% of the new selling price. It becomes

Total cost of the pair of socks

= 6.8 + (8/100×6.8) = 6.8 + 0.08×6.8 = 6.8 + 0.544 = $7.344

7 0

2 years ago

A data set consists of the following data points:

aleksley [76]

(3,5),
(5,8),
(6,13)
------
(14,26)/3

then use the point slope form of a line to find equation of line

 $y-y_1=m(x-x_1)
\\y - \frac{26}{3} = 2.5(x- \frac{14}{3})
\\y - \frac{26}{3} = \frac{5}{2} (x- \frac{14}{3})
\\y - \frac{26}{3} = \frac{5}{2} x- \frac{5}{2}\times\frac{14}{3}
\\y - \frac{26}{3} = \frac{5}{2} x- \frac{35}{3}
\\6y-52=15x-70
\\15x-6y-18=0$

Find y-intercept for x = 0.

 $15x-6y-18=0
\\15\times0-6y-18=0
\\-6y=18
\\y=-3$

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3 years ago

PQR is an isosceles triangle in which PQ = PR

otez555 [7]

Answer and Step-by-step explanation: Congruent triangles are triangles with the same three sides and same three angles.

There many ways to determine if 2 triangles are congruent.

One of them is ASA or Angle, Side, Angle and it means that if two angles and the included side of one triangle are equal to the corresponding angles and side on the other triangle, they are congruent.

In this case, angle MRQ and angle NQR are equal. The included side of both triangles are the same QR, so it can be concluded that triangle QNR is congruent to triangle RMQ.

The image in the attachment shows the angles and their included side, which are colored.