Determine if the sequence is arithmetic. If it is, find the common difference.
1) 35, 32, 29, 26, ...
2) -3, -23, -43, -63, ...

Answer:

The quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] has no real solution.

Step-by-step explanation:

Rewrite the quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] in the standard form [tex]a\, x^{2} + b\, x + c = 0[/tex]:

[tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex], for which:

The quadratic discriminant of [tex]a\, x^{2} + b\, x + c = 0[/tex] is [tex](b^{2} - 4\, a\, c)[/tex].  The quadratic discriminant of [tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex] would be:

[tex]\begin{aligned}& b^{2} - 4\, a\, c \\ =\; & (-3)^{2} - 4 \times 2 \times 8 \\ =\; & (-55)\end{aligned}[/tex].

Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.

Answer:

133°

Hope this helps!!!

Answer:

P(A|B) =0.25

Step-by-step explanation:

P(A|B) = P(A and B) / P(B) = 0.1/0.4 =0.25

The quotient of  (x⁴ - 3x² + 4x - 3) and (x² + x - 3)  is x² - x + 1

The quotient expression is given as:

(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)

Factor the dividend of the quotient expression

(x² + x - 3)(x² - x + 1)  ÷ (x² + x - 3)

Cancel out the common factors

x² - x + 1

The above means that:

The quotient of  (x⁴ - 3x² + 4x - 3) and (x² + x - 3)  is x² - x + 1

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Answer:

336 pages per hour (pretty fast)

Step-by-step explanation:

It's hard to explain for me (I'm just doing my best to answer it) but I got the answer from estimating values with a calculator. The proof of it as an answer can be seen from this equation: 336 * 0.75 (or 3/4) = 252. It's pretty late for me so I'm having a hard time reverse engineering the equation. Hopefully this still helps though. :)

Answer:

Step-by-step explanation:

Given rate is

Divide both numbers by 3/4 to get the unit rate per hour

Answer:

true

Step-by-step explanation:

yas

Answer: 60%, or D. hope this helps!

Step-by-step explanation:

Add all Blue - 30 + 20 = 50  so since theres 30 with no nuts its 30/50, divide them and you get 0.60, and as a percentage that is 60%

Answer:

D. 60%

Step-by-step explanation:

50 total blue candies (20 + 30)

30 of them contain no nuts according to the table, which means that is 30/50. This reduces to 6/10 or 0.6. As a percentage that is 60%

Answer:

x=8

Step-by-step explanation:

the geometric mean(√(a*b)) of the segments of the hypotenuse is equal to the altitude of the triangle.

4^2 = 2x

16=2x

16/2 =x

8=x

Answer:

x = 77

Step-by-step explanation:

x and 103 are same- side exterior angles and sum to 180°

x + 103 = 180 ( subtract 77 from both sides )

x = 77

If the side be s

Volume is 100in³

So

Another way of expressing the radius is to express it as a decimal given as r  = 19.108 cm

The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.

Given the expression for the radius of the circle given as

[tex]r=\dfrac{60}{\pi}[/tex]

We can also express the radius as a decimal instead of a fraction.

Given that π = 3.14, Substitute into the expression of the radius to have:

[tex]r=\dfrac{60}{3.14}=1.9.108\ cm[/tex]

Hence another way of expressing the radius is to express it as a decimal given as r  = 19.108 cm

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Answer:

y = -1/2(x - 3)(x - 7)

Step-by-step explanation:

we already have the x intercepts so we can first put those in our equation

y = a(x - 3)(x - 7)

then we can plug in the vertex to find what our a value is

2 = a(5 - 3)(5 - 7)

2 = a(2)(-2)

2 = -4a

a = -1/2

so your equation is

y = -1/2(x - 3)(x - 7)

Answer:

Step-by-step explanation:

4m = 6m - 2/5

-2m = -2/5

m = 2/5 : 2

Since there is no value that is far removed from all others thus we can say that there are no outliers in the data set.

In the process of statistical observation, an outlier is any value that lies too far away from other values in the data set.

If we look at the data set as shown, there is no value that is far removed from all others thus we can say that there are no outliers in the data set.

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Answer:

12.25

Step-by-step explanation:

Multiply the pounds of apples by the batches.

1.75×7=12.25

Answer:

9.42

Step-by-step explanation:

Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:

270/360; 360 being the total angle measurement of a circle

270/360 simplifies to 3/4

The fraction represents how much of the circle that arc covers

Now we have to find the circumference which would be

2(3.14)r

r = 2 therefore: 2(3.14)2 = 12.56

Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length

Which gives us  9.42

Answer:

A

Step-by-step explanation:

On Monday 4 people signed up plus the 11 who agreed to go the following day

which adds up to 15

[tex]s = 4\pi {r }^{2} [/tex]

13.6/2=6.8

4×3.14×(6.8×6.8)=580.7

Answer: here u go

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 1 , x = 9

Step-by-step explanation:

from the table

f(x) = g(x) = 14 when x = 1 , and

f(x) = g(x) = 6 when x = 9

then the solutions to f(x) = g(x) are

x = 1 and x = 9

Range of temperatures does the average rate of change in temperature fall -13F and 9 F

The Fahrenheit temperature scale is used in the United States; the Celsius, or centigrade, scale is employed in most other countries and for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) representation is: °F = (9/5 × °C) + 32.

Given function:

f(x)= -11 sin(7/3 x+ 1/6) -2

The function will be maximum at

7/3 x +1/6= 3π/2

So, the maximum temperature will be

= -11 sin (3π/2) -2

= 11 -2

=9 F

The function will be minimum at

7/3 x +1/6= π/2

So, the maximum temperature will be

= -11 sin (π/2) -2

= -11 -2

= -13 F

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Answer:

There is no answer as there is no question.

Step-by-step explanation:

Answer:

I added the answer to your newest problem :D

Step-by-step explanation:

Hope it helped!

Answer:

the last (4th) option

Step-by-step explanation:

the easiest way to find the right answer :

which of the 4 answers would deliver infinity for x = 5 ?

and that is only answer 4, as x = 5 creates 0 in the denominator of the fraction, which leads to the infinity break at that point in the functional curve.

other indications :

the smaller x, the more the denominator goes to -infinity, and the bigger x, the more the denominator goes to +infinity.

and that means the whole fraction goes to 0. and we are left for the function limit with the constant added at the end of the function.

looking at the graph, this has to be +3.

and again, only the 4th answer has "+3" at the end.

The function represented by the graph is y = 1(x - 5) + 3.

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The equation y = 1/(x - 5) + 3 represents a rational function with a vertical asymptote at x = 5.

This means that the graph of the function gets closer and closer to the vertical line x = 5, but never touches or crosses it.

The graph of the function also has a horizontal asymptote at y = 3.

This means that as x approaches infinity or negative infinity, the value of the function approaches 3.

The function has a y-intercept at (0, -4), where x = 0 and y = 1/(-5) + 3 = -4.

Thus,

The function represented by the graph is y = 1(x - 5) + 3.

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Answer:

(6, -5)

Step-by-step explanation:

Midpoint :

Equations formed :

    2. y + 1 / 2 = -2

Coordinates of B : (x, y)

Answer:

28cm

Step-by-step explanation:

Given that;

14cm = 5m

x = 10m

cross multiply

5x = 140

divide both side by (5)

[tex] \frac{5x}{5} = \frac{140}{5} [/tex]

:- x = 28cm

The number of oranges that are in the bag is  120.

The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60

bananas = 0.60t  equation 1

The equation that represents the number of bananas in the bag after 135 was removed is:

(b - 135) / t = 0.15

b - 135 = 0.15t equation 2

Where :

Substitute for b in  equation 2 using  equation 1

0.6t - 135 = 0.15t

0.6t - 0.15t = 135

t = 135 / (0.6 - 0.15)

t = 300

The initial number of bananas : 0.6 x 300 = 180

Number of oranges = 300 - 180 = 120

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Answer: Luke spent 45.5 hours working

Step-by-step explanation:

let x = hours worked

[tex]641.5 = 13x + 50\\\\641.5-50 = 13x\\\\591.5 = 13x\\\\\frac{13x}{13}=\frac{591.5}{13} \\\\x=45.5[/tex]

We can conclude Luke spent 45.5 hours working