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3 years ago

How do you graph -y <= 3x

2 answers:

6 0

First tou make the y<= 3x and turn it into y=3x. Graph that line normally by substituting different values. I got points that are (0,0) and (1,3). Once you graph it substitute a point that is under or above the line that you drew. If that point correctly fits the equation then you shade the other side but if it gives a wrong answer (like 7=3) then you shade the side with the point.

Leya [2.2K]3 years ago

4 0

I'm not good at graphing, but desmos.com is an online graphing calculator that works really well.

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Red and grey bricks were used to build a decorative wall. The number of red bricks and grey bricks was 5/2. There were 140 brick

ozzi

Answer:

100 red bricks

Step-by-step explanation:

Let's say red bricks is equal to 5x

Gray bricks is equal to 2x

We have an equation

2x + 5x = 140

= 7x = 140

Divide through by 7 to get the value of x

X = 140/7

X = 20

Red bricks = 5(x)

= 5(20)

= 100

Gray bricks = 2(x)

= 2(20)

= 40

Therefore in conclusion the number of red bricks is 100.

5 0

2 years ago

Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)

IrinaK [193]

Answer:

Equation of the circle (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

Step(i):-

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

Centre = $(\frac{-2+8}{2} ,\frac{1+9}{2} )$

Centre (h, k) = (3 , 5)

Step(ii):-

The distance of two end points

PQ = $\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }$

$PQ= \sqrt{(8+2 )^{2} +(8 )^{2} }$

PQ = √164 = 12.8

Diameter d = 2r

radius r = d/2

Radius r = 6.4

Final answer:-

Equation of the circle

(x-h)²+(y-k)² = r²

(x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x +y² -10y = 40.96-34

x² -6x +y² -10y -7= 0

4 0

3 years ago

−6.2<−4.5, yet |−6.2|>|−4.5|. Use a number line to show why.

romanna [79]

Answer:

-27.9

Step-by-step explanation:

3 0

3 years ago

Pediatricians work an average of 48 h per week. The standard deviation is 12 hours. What percentage of pediatricians work more t

cricket20 [7]

Answer: 2.28 %

Step-by-step explanation:

Given : Mean : $\mu=\ 48$

Standard deviation : $\sigma= 12$

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 72

$z=\dfrac{72-48}{12}=2$

The p-value = $P(2$

$1-0.9772498=0.0227502\approx0.0228$

In percent, $0.0228\times100=2.28\%$

Hence, the percentage of pediatricians work more than 72 h per week = 2.28 %

4 0

3 years ago

together,sarah's two cats have the same mass as her dog,11 kg.the mass of one cat is 1500 g greater than the mass of the other.

Alika [10]

Let (a) be the first cat
let (b) be the second cat
a +b=11kg-----(1)
a=b+1500g⇒(1.5 kg)-------(2)
so now u have a system of two unknowns
a=11-b
substitute a in (2)
11-b=b+1.5
11-1.5=2b
2b=9.5
b=9.5/2=4.75
subs. b in (1)
a+b=11
a+4.75=11
a=11-4.75=6.25
so cat (a) is 6.25 kg
and (b) is 4.75 kg
hope I helped

6 0

3 years ago