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mihalych1998 [28]

3 years ago

11

The numbber 14 is less than the number of hours nathans volleyball team trains in a week which of the follwoing inequalities rep

resents the number of hours that the volleyball team trains in a week

1 answer:

miv72 [106K]3 years ago

5 0

Answer:

x > 14

Step-by-step explanation:

Let the number of hours nathans volleyball team trains in a week be x

If the number 14 is less than the number of hours nathans volleyball team trains in a week, this is expressed as;

14 < x

Rearranging the inequality expression will reverse the inequality sign as shown;

x > 14

Hence the inequalities that represents the number of hours that the volleyball team trains in a week is x > 14

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Write the function ????(x) = −2x^2 − 20x − 53 in completed-square form. Describe the transformations of the graph

siniylev [52]

Answer:

The graph of parent function reflected across x-axis, vertically stretched by factor 2 and shift 5 units left 3 units down.

Step-by-step explanation:

The parent function is

$f(x)=x^2$

The given function is

$g(x)=-2x^2-20x-53$

$g(x)=-2(x^2+10x)-53$

If an expression is $x^2+bx$ , then we have to add $(\frac{b}{2})^2$ in it to make it perfect square.

In the parenthesis the value of b is 10.

$(\frac{10}{2})^2=5^2=25$

Add and subtract 25 in the parenthesis.

$g(x)=-2(x^2+10x+25-25)-53$

$g(x)=-2(x^2+10x+25)-2(-25)-53$

$g(x)=-2(x+5)^2+50-53$

$g(x)=-2(x+5)^2-3$

$g(x)=-2f(x+5)-3$ .... (1)

The translation is defined as

$g(x)=kf(x+a)+b$ .... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

Negative k represents the reflection across x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (1) and (2) it is clear that k=-2, a=5 and b=-3.

It means graph of parent function reflected across x-axis, vertically stretched by factor 2 and shift 5 units left, 3 units down.

3 0

4 years ago

The fatal crash rate of teenage drivers 16 years of age is nearly twice as high at night. Select one: True False

rjkz [21]

TRUE

The fatal accident rate for young drivers aged 16 to 19 is about four times higher than at night. Two or more passengers of the same age triple the risk of a fatal accident driving a teenager.

An accident in which someone dies. Synonyms: Accident. Type: Collateral damage.

Of the collisions between cars, angled collisions are the most deadly (about 8,000 in 2020). The interactive chart also shows the estimated number of fatalities, injuries, casualties, and all accidents in different types of car accidents.

Learn about car crashes here:brainly.com/question/25241464

#SPJ4

4 0

2 years ago

What is the MAD of this numbers?

Stella [2.4K]

We know that
The MAD is <span>the mean absolute deviation of the data

step 1
</span><span>To find the mean absolute deviation of the data, start by finding the mean of the data set.
</span><span>Find the sum of the data values, and divide the sum by the number of data values
</span>sum of the data values=[130+150+190+100+175+120+165+140+180+190]
sum of the data values=1540
number of data=10
Mean=1540/10-----> 154

step 2
<span>Find the absolute value of the difference between each data value and the mean: |data value – mean|.
</span> |130 – 154|=24
|150 – 154|=4
|190 – 154|=44
|100 – 154|=54
|175 – 154|=21
|120 – 154|=34
|165 – 154|=11
|140 – 154|=14
|180 – 154|=26
|190 – 154|=44

step 3
<span>Find the sum of the absolute values of the differences.
</span>=[24+4+44+54+21+34+11+14+26+44]------> 276

step 4
<span>Divide the sum of the absolute values of the differences by the number of data values.
</span>276/10-----> 27.6

the answer is
27.6

5 0

4 years ago

Write an equation in slope intercept form for the line that passes thru the points (4,-2) and (-5,7)

shepuryov [24]

Answer:

y = -x + 2

Step-by-step explanation:

The equation of a line in a slope intercept form is given as :

$y = mx + c$ , where m is the gradient and c, y - intercept.

First, let us find the gradient, m of the line that passes through the points, (4,-2) and (-5,7) using the relation ;

$m = \frac{y_2 - y_1}{x_2- x_1}$

By substitution we get

$m = \frac{7- (- 2)}{ - 5 - 4}$

$\implies m = \frac{7 + 2}{ - (5 + 4)}$

$\implies m = \frac{9}{ - 9} = - 1$

We substitute any of the points and the value of m into y= mx + c to find the value for c.

$\implies - 2 = 4( - 1) + c$

$\implies - 2 = - 4+ c$

Adding 4 to both sides.

$\implies 4- 2= - 4 + 4+ c$

$\implies 4- 2= + c$

$\implies c = 2$

Hence the equation of the line is :

y = -x +2

3 0

3 years ago

2 At the hot dog stand it costs $18.39 for five hot dogs and six bags of chips. If it costs $4.63 for

Naya [18.7K]

Answer:

$2.25

Step-by-step explanation:

You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.

8 0

3 years ago