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2 years ago

Help pleaseeeeeeeeeeeeeeeeeeeeee

Mathematics

2 answers:

Arturiano [62]2 years ago

7 0

4(-3) + 3(-5) + 7
-12+-15+7=-20

tatyana61 [14]2 years ago

7 0

Answer:

The answer is -20.

Step-by-step explanation:

To evaluate the expression, plug x= -3 and y= -5 into the expression. By plugging in the information given from the problem, the expression will look like 4(-3) + 3(-5) + 7.

Next, solve the expression, and the answer will be -20.

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A train leaves boston and travels toward its destination at a speed of 60 mph. One hour later, an express train leaves Boston an

Margarita [4]

Taking into account the supplied speeds, Boston is from the destination to:

240 miles

<h3>Calculation of the distance between Boston and Place of Destination</h3>

To identify the distance between Boston and the destination of the trains, it must be remembered that the <u>speed</u> mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :

Regular train: 60 miles
Express train: 80 miles

According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.

Therefore, in <u>three hours</u>, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:

$Speed =\frac{Distance}{Time}$

And clearing the distance:

$Distance=Speed*Time$

$Distance=80\frac{miles}{hour}*3hours$

$Distance=240miles$

Therefore, the destination would be <u>240 miles</u> from Boston, which would take four hours by regular train and three hours by express train.

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2 years ago

Use the data in the table below and a graphing calculator to describe how a linear model compares to a quadratic model. Analyze

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The quadratic model and the linear model of the table of values are the same

<h3>The linear model of the data</h3>

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

Sum of X = 0
Sum of Y = 113
Mean X = 0
Mean Y = 22.6
Sum of squares (SSX) = 10
Sum of products (SP) = 28

The regression equation is

y = mx + b

Where

m = SP/SSX = 28/10 = 2.8

b = MY - bMX = 22.6 - (2.8*0) = 22.6

So, we have:

y = 2.8x + 22.6

See attachment for graph (1)

<h3>The quadratic model of the data</h3>

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

a = 0
b = 2.8
c = 22.6

0 X^2 +2.8 X +22.6

The regression equation is

y = ax^2 + bx + c

So, we have:

y = 0x^2 + 2.8x + 22.6

See attachment for graph (1)

<h3>Why both graphs look the same</h3>

The graphs look the same because when the quadratic model is simplified, it gives the linear model.

This in other words mean that:

The quadratic model and the linear model of the table of values are the same

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1 year ago

What is 38.97 as a fraction?

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Answer:

Hi there!

The Answer to this question is: 3897/100

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2 years ago

What is 1/6 plus 1/6

konstantin123 [22]

Add the top numbers. If the bottom numbers are the same, do not change them.

So the answer is 2 / 6, or simplified to 1 / 3.

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2 years ago

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Which of the following is true for f(x)= -2sin(x)-3?

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Let's write the general form of the sine curve:

$f(x)=AsinB(x+C)+D$ , where,

A is the amplitude. Also, if A is negative, curve reflects about x axis
B is the compression/stretching factor. It changes the period when it is a value other than 1.
C is the phase shift. It translates curve left or right. Negative value shifts right and positive value shifts left.
D is the vertical shift. It translates curve up or down. Negative value shifts down and positive value shifts up.

Let's check the 4 choices.

Since this curve's A is -2, its amplitude is 2 and range is from -2 to 2. BUT since D value is -3, it shifts vertically 3 units down making the range from -1 to -5. Clearly choice A is not true.

This graph is the graph of $f(x)=-2sin(x)$ shifted 3 units DOWN since D is negative. This choice isn't true.

Because of the - (minus) sign in front of the function, the function is reflected about x-axis, but amplitude doesn't change. Since A value is 2, amplitude is 2. This is true.

Period depends on the B value. Here, B value is 1, so period is normal as the parent function of a sine curve, which is $2\pi$ , NOT $4\pi$ . So this is not correct.

ANSWER: C is true

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