Multiply
(2x2 – 3x)(3x2 + 2x - 1)
help plz

Using trigonometric function concepts, it is found that:

From the sine, we have that:

[tex]\sin{\theta} = \frac{\sqrt{2}}{2}[/tex]

Then:

[tex]\sin^{-1}{\sin{\theta}} = \sin^{-1}{\frac{\sqrt{2}}{2}}[/tex]

[tex]\theta = \frac{\pi}{4}[/tex]

Since pi radians is 180º, this angle is of 180/4 = 45 degrees.

From the tangent:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]1 = \frac{\frac{\sqrt{2}}{2}}{\cos{\theta}}[/tex]

[tex]\cos{\theta} = \frac{\sqrt{2}}{2}[/tex]

[tex]\cot{\theta} = \frac{1}{\tan{\theta}}[/tex]

[tex]\cot{\theta} = 1[/tex]

For the cosecant and secant:

[tex]\csc{\theta} = \frac{1}{\sin{\theta}} = \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \sqrt{2}[/tex]

[tex]\sec{\theta} = \frac{1}{\cos{\theta}} = \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \sqrt{2}[/tex]

[tex]\csc{\theta} = \sqrt{2}[/tex]

[tex]\sec{\theta} = \sqrt{2}[/tex]

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Answer:

A. 7

Step-by-step explanation:

No.of unique roots are possible in a seventh-degree polynomial is 7

f(p) = 0.

Since seventh degree polynomial has degree 7, number of roots in a seventh-degree polynomial is 7.

Therefore, the number of unique roots are possible in a seventh-degree polynomial is 7.

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Answer:

it's 0.7m, 77cm , 7m , 750 cm . hope I helped you .

Answer:

Total number of votes = 5,992

Step-by-step explanation:

Given:

Ratio of Yes and No = 3:5

Total number of yes votes = 2,247

Find:

Total number of votes

Computation:

Total number of votes = Total number of yes votes [(3+5)/3]

Total number of votes = 2,247[(8)/3]

Total number of votes = 5,992

Answer:

B: the cost per pint of 3 pints of blueberries if the total cost is $6

Step-by-step explanation:

A is using multiplication

C is using addition and multiplication

D is using multiplication and addition.

Therefore, B would be your answer.

Hope this helps! :)

Answer:

Its B

Step-by-step explanation:

I got 100 on quiz

Answer:

B)  7 feet is the median (center) and 5 is the range (spread)

Step-by-step explanation:

spread is the difference between the largest and smallest numbers in the data set (9 - 4 = 5 in this case)

Answer:

(x+3,y+4)

Step-by-step explanation:

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Answer:

your answer will be C. rotation

Step-by-step explanation:

hope it helps...

have a great day!

The type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation

If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.

For this case, both the triangles ABC and EFG satisfy the ASA congruency. Thus, they are congruent. Congruent triangle means they are just same, but might be placed different or rotated.

For this case, for making ABC look like EFG, we need to rotate it, and will have to move it too(which is called translation).

Thus, the type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation

For some cases, we may ignore translation and just call them transformed rotationally, because usually two triangles will be placed different. But in literal sense, these two transformation will be needed for sure.

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Step-by-step explanation:

Formula is:

x=(-b±  √b^2-4ac)/2a

a= 1

b= -8

c= 17

x= (-(-8)±√64-4(1)(17))/2

x= (8±√-4)/2

now

x1= (8+√-4)/2

x2=(8-√-4)/2

Answer:

choice 1) 6 inches

Step-by-step explanation:

3 x 10 x ? = 180

? = 6

Answer:

2m

Step-by-step explanation:

[tex]2250 \div 25 = 90[/tex]

[tex]90 \div 45 = 2[/tex]

Answer:

All real numbers

Step-by-step explanation:

The domain of the function is the set of real values that can be substituted into a function to produce a valid output. Any real number can be substituted into the function (y = x), and produce a valid output. Thus, the domain is all real numbers.

Answer:

A

Step-by-step explanation:

14/8-11/8=3/8

Answer:

a

Step-by-step explanation:

1 3/4 =1 6/8 so 3/8 plus 3/8 is 6/8

Answer:

0.1

Step-by-step explanation:

Lol hi again . hope this helped you

Answer:

55

Step-by-step explanation:

Lucas went to the bank the first time with $55 and the second time with $55, when you add those togeother you get $110. Then he wrote a check for $116 and ended up having -$6...basically if you have $110 in all then you write a check for $116 you would have -$6 in your balance. 110-116 = -6

Answer:

7 feet

Step-by-step explanation:

Answer:

A. 4ft

Step-by-step explanation:

It would be four feet because since the opening is 3ft and the length is 5ft, it would be 4ft because the length is going to be close to the height which would also be the same with the opening. The opening is always a little shorter than the top of the tent meaning this would be 4ft.

Answer:

Step-by-step explanation:

because you know that the exponent is 20 and that is  n*t...  and you can see that n= 2  in the equation

you know it's been collecting interest for 10 years  

Answer:

g(x) = Ix/2 + 1I

Step-by-step explanation:

First, let's describe the transformations in a general way.

Horizontal translation.

For a function f(x) a horizontal translation of N units is written as:

g(x) = f(x + N)

if N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Horizontal stretch.

For a function f(x) a horizontal stretch of scale factor k is written as:

g(x) = f(x/k)

Then if we have the function f(x) = IxI

First we do a translation of 2 units to the left, then we have N = 2

The transformation is:

g(x) = f(x + 2)

Now we do a horizontal stretch by a factor of 2.

g(x) = f( (x + 2)/2=

g(x) = f( x/2 + 1) = Ix/2 + 1I

The equation of the final graph is:

g(x) = Ix/2 + 1I

Answer:

The area is 266

Step-by-step explanation:

If the length is 19 and the width is 5 less then the width is 14. To calculate the area you need to multiply the area by the length. So the answer is 266

Answer:

77 slices

Step-by-step explanation:

Given

[tex]Pizza=14[/tex]

[tex]Slice = 6[/tex] per pizza

[tex]Juan = 7\ slices[/tex]

Required

Determine the slices left

First, calculate the slices in 14 pizzas.

[tex]Total = 14 * 6[/tex]

[tex]Total = 84[/tex]

Subtract the amount eaten by Juan, to get the remaining.

[tex]Remaining = Total - Juan[/tex]

[tex]Remaining = 84 - 7[/tex]

[tex]Remaining = 77[/tex]

Answer:

x>-6

Step-by-step explanation:

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Answer:

67°

Step-by-step explanation:

Angle 67° and that at H are corresponding this are equal.

Therefore 67+46=113°

180-113=67 as the answer

Answer:

B. 3.34s

Step-by-step explanation:

Find t when the object hit the ground, h(t)=0.

h(t)=-16t²+178

0=-16t²+178

16t²=178

t²=11.125

t=√11.125=3.33541601603s

Answer:

x = 27

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following:

(x + 8)/10 = (2x - 5)/14

Cross multiply

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

Collect like terms

14x - 20x = -112 - 50

-6x = -162

Divide both sides by -6

-6x/-6 = -162/-6

x = 27

Answer:

[tex]238cm^3[/tex]

Step-by-step explanation:

The equation for volume is length x width x height

The equation for area is length x width

Since the area of the base is known, we can substitute that into the volume equation

base x height

34 x 7 = 238 cm^3

Answer:

The answer is B the base is 16 feet

to find the base of a triangle the formula is b=2[tex]\frac{A\\}{h}[/tex]

hope this helps

Answer:

Y = 27.8°

Step-by-step explanation:

Apply the Law of Cosines which is given as c² = a² + b² - 2ab*Cos C

Where,

c = 8

a = 17

b = 16

C = Y

Plug in the values

8² = 17² + 16² - 2*17*16*Cos Y

64 = 545 - 544*Cos Y

64 - 545 = -544*Cos Y

-481 = -544*Cos Y

Divide both sides by -544

-481/-544 = Cos Y

0.884191176 = Cos Y

Y = cos^{-1}(0.884191176)

Y = 27.8478491° ≈ 27.8° (nearest tenth)

Answer:

does any body have c?

Step-by-step explanation:

Answer:

30.4

Step-by-step explanation:

8 boxes = 243.20

find 1 boxes

= 243.20 ÷ 8

= 30.40 / 30.4

The function is an exponential function and the function is,  y = 100[tex]e^{-0.5x}[/tex].

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

Given:

We have the table.

Elapsed Time Amount

1 58

2 34

3 20

4 14

5 7

6 4

7 2.5.

We have drawn a graph from the points.

And the graph is given in the attached image.

Then the exponential function,

y = 100[tex]e^{-0.5x}[/tex].

Therefore, the function is y = 100[tex]e^{-0.5x}[/tex].

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