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3 years ago

Which solution is the best estimate to the system of equations?

Mathematics

2 answers:

Alexeev081 [22]3 years ago

6 0

(1.5,0) ? I'm not sure...

Sav [38]3 years ago

5 0

Answer:

The correct option is 2.

Step-by-step explanation:

The given system of equations is

$y=\frac{1}{4}x-2$ .... (1)

$y=-2x+3$ .... (2)

Subtract equation (2) from equation (1), to eliminate y.

$y-y=\frac{1}{4}x-2-(-2x+3)$

$0=\frac{1}{4}x-2+2x-3$

On combining like terms we get

$0=\frac{9}{4}x-5$

Add 5 on both sides.

$5=\frac{9}{4}x$

Multiply both sides by 4.

$20=9x$

Divide both sides by 9.

$\frac{20}{9}=x$

The value of x is $\frac{20}{9}$ .

Substitute $x=\frac{20}{9}$ in equation (2).

$y=-2(\frac{20}{9})+3=-\frac{13}{9}$

The solution of given system of equation is

$(\frac{20}{9},-\frac{13}{9})=(2.22...,-1.44...)\approx (2.2,-1.4)$

Therefore the correct option is 2.

You might be interested in

There is a 10% off sale on laptop computers. If someone saves $35 on a laptop, what was its original cost?

IceJOKER [234]

Answer:

The original cost is $350

Step-by-step explanation:

Let's assume

original cost of computer is x

There is a 10% off sale on laptop computers

So, amount saved is

$=\frac{10}{100}x=0.10x$

now, we are given

someone saves $35 on a laptop

so, we can set them equal

and then we can solve for x

$0.10x=35$

we can divide both sides by 0.10

and we get

$x=350$

So,

The original cost is $350

4 0

3 years ago

A cyclist is riding a bicycle whose wheels have a diameter of 1.6 feet. Suppose the wheels turn at a rate of 280 revolutions per

yan [13]

Answer: a. 1759.52 radians/minutes

b. 1407.62 feet/minutes

Step-by-step explanation:

Diameter = 1.6 feet

Radius = Diameter/2= 1.6/2 = 0.8 feet

N = 280 revolution

a. Angular speed(w) = 2πN

= 2π × 280

= 560π

= 560 × 3.142

= 1759.52 radians/minutes

Speed of cyclist = wr

= 1759.52 × 0.8

= 1407.62 feet/minutes

6 0

3 years ago

Hurrryyyyy upppppp plzzzz helpppp meeeeee rightttt nowwwwwwww

bonufazy [111]

Answer:

It’s the third one

Step-by-step explanation:

-1.1x+6.4>-1.3

-1.1x>-1.3-6.4

-1.1x>-7.7 multiplied by -1 gives 1.1x<7.7

Divided by 1.1 you get x<7

7 0

3 years ago

The distribution of head circumference for full term newborn female infants is approximately normal with a mean of 33.8 cm and a

enyata [817]

Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 33.8, \sigma = 1.2$

The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the <u>p-value of Z when X = 36 subtracted by the p-value of Z when X = 31</u>, hence:

X = 36:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{36 - 33.8}{1.2}$

Z = 1.83

Z = 1.83 has a p-value of 0.9664.

X = 31:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{31 - 33.8}{1.2}$

Z = -2.33

Z = -2.33 has a p-value of 0.0099.

0.9664 - 0.0099 = 0.9565.

0.9565 = 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

More can be learned about the normal distribution at brainly.com/question/24537145

#SPJ1

4 0

2 years ago

Find the value of x. The diagram is not to scale.

tester [92]

X=15 its simple since there's base angles and straight angle

7 0

3 years ago

Read 2 more answers