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3 years ago

Evaluate 14.8 - 0.72

Mathematics

1 answer:

Alex777 [14]3 years ago

7 0

Answer:

the answer is 14.08

Step-by-step explanation:

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Add the following polynomials

Inga [223]

-2.4x^2 -1.5x-11.4 is the answer

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3 years ago

Find the values of x and y. Write your answer in simplest form.

nydimaria [60]

Answer:

x=30°

y=30°

Step-by-step explanation:

x= 180-150=30°

180=30 + 90 + z

z +120 = 180

z= 60

90-60=y

y=30

30°

7 0

3 years ago

Rewrite the function by completing the square. f(x)= 2x^{2}+3x-2f(x)=2x 2 +3x−2

Elena L [17]

Answer:

$2\Bigl[(x+\frac{3}{4} )^2-\frac{25}{16} \Bigr]$

Step-by-step explanation:

Step 1

We factor out 2 so that the coefficient of the quadratic term is 1.

$f(x)=2x^2+3x-2\\f(x)=2\bigl(x^2+\frac{3}{2} -1\bigr)$

Step 2

In this step we add and subtract the square of the coefficient of the x term, this term is $\Bigl(\frac{1}{2} \bigl(\frac{3}{2}\bigr)\Bigr)^2$ . This is the step where we complete the square.

$f(x)=2\Bigl[x^2+\frac{3}{2}x+(\frac{3}{4})^2-(\tfrac{3}{4})^2 -1 \Bigr]\\f(x)=2\Bigl[x^2+\frac{3}{2}x+(\frac{3}{4})^2-\frac{25}{16} \Bigr]$

Step 3

In this step we factor out the perfect square tri-nomial formed by the first 3 terms in last line of step 2. This calculation is shown below,

$f(x)=2\Bigl[\bigl(x+\frac{3}{4} \bigr)^2-\frac{25}{16} \Bigr]$

6 0

3 years ago

3.5x + 11 = -3 what is x ??

hodyreva [135]

Answer:

x = -4

Step-by-step explanation:

First step is to subtract 11 from both sides:

3.5x + 11 = -3

- 11 - 11

__________

3.5x = -14

Then, divide both sides by 3.5:

3.5x = -14

x = -4

3 0

3 years ago

Can someone please please help me on this algebra problem I’m stuck on answering the question?

Rudik [331]

Explanation:

Midline: it is a horizontal line where half of the function above it and half of the function is below it.

Amplitude: It means how far the function varies from the midline to the above and below.

Period: the distance between two consecutive maximum points (minimum points).

3) From the graph,

$\begin{gathered} \text{Midline}=\frac{Maximum\text{ point+ minimum point}}{2} \\ =\frac{3+(-1)}{2} \\ =\frac{3-1}{2} \\ =\frac{2}{2} \\ =1 \end{gathered}$

Answer: Midline=1

1) Amplitude

$\text{Amplitude =}2$

2) Periods

$\begin{gathered} \text{Period}=6 \\ \Rightarrow b=\frac{2\pi}{6} \end{gathered}$

4) The trigonometric equation is,

$\begin{gathered} y=a\cos (b(x-c))+d \\ a=\text{ amplitude} \\ b=\text{period} \\ c=\text{ phase shift} \\ d=\text{ vertical shift} \\ y=2\cos (\frac{2\pi}{6}x)+1 \end{gathered}$

Answer:

$y=2\cos (\frac{2\pi}{6}x)+1$

4 0

1 year ago