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3 years ago

5<-3x+8 solve and graph the question

Mathematics

1 answer:

bearhunter [10]3 years ago

3 0

Answer:

x<1

Step-by-step explanation:

5<-3x+8 ⇒3x<8-5⇒3x<3⇒x<1

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Solve each system by substitution. -5x + 3y = 3 and -4x + y = 1

taurus [48]

$\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.$

5 0

3 years ago

How many radians does the minute hand of a clock rotate through over half an hour? How many degrees?

Ivanshal [37]

Answer:

So minute hand will rotate $\pi radian$ in half an hour

Step-by-step explanation:

In one hour minute hand of clock rotate about 360°

So in half an hour minute hand clock rotate $\frac{360}{2}=180^{\circ}$

We have to find how many minute hand rotate in radian

For conversion of degree to radian we have to multiply with $\frac{\pi }{180}$

So $180^{\circ}=180\times \frac{\pi}{180 }=\pi radian$

So minute hand will rotate $\pi radian$ in half an hour

3 0

3 years ago

You are in a bike race. When you get to the first checkpoint, you are 25 of the distance to the second checkpoint. When you get

Rom4ik [11]

Question:

You are in a bike race. When you get to the first checkpoint, you are 2/5 of the distance to the second checkpoint. When you get to the second check point, you are 1/4 of the distance to the finish. If the entire race is 40 miles, what is the distance between the start and the first check point?

Answer: 4 miles

Step-by-step explanation:

Let distance between start to first checkpoint = x

First checkpoint to second checkpoint = 2/5 of x

Distance of start to checkpoint 1 = ( 2/5 of start to checkpoint 2)

Distance of start to checkpoint 2 = (1/4 of start to finish)

If start to checkpoint 2 = 1/4 of start to finish

Then,

Distance of start to checkpoint 1 = ( 2/5 * 1/4 of start to finish)

Distance of start to checkpoint 1 = 2/20 of start to finish = 1/10 of start to finish

Entire race = 40 miles = distance from start to finish

1/ 10 of 40

= ( 1/10) × 40

= 4 miles

6 0

3 years ago

4x+15y=10 3x+10y=5 please help

Kamila [148]

Answer: 7x+25y=15

Step-by-step explanation: combine all like terms

8 0

3 years ago

What is the length of line segment PQ? If you can please explain, thanks.

nydimaria [60]

Given:

Tangent segment MN = 6

External segment NQ = 4

Secant segment NP =x + 4

To find:

The length of line segment PQ.

Solution:

Property of tangent and secant segment:

If a secant and a tangent intersect outside a circle, then the product of the secant segment and external segment is equal to the product of the tangent segment.

$\Rightarrow NQ\times NP = MN^2$