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3 years ago

18, 26, 34, 42, find the 52nd term and the explicit formula

1 answer:

3 0

We have 26 - 18 = 8; 34 - 26 = 8; 42 - 34 = 8; (an arithmetic progression)
We use the formula an = a1 + (n-1)x8 (the explicit formula)
So, an = 18 + (n-1)x8 ;
Then, an = 8n + 10;
Finally, a52 = 8x52 + 10 = 426 (the 52nd term);

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2x + y = 7

jolli1 [7]

Answer:

(2/3, 17/3)

Step-by-step explanation:

put x and y coordinates value in given equation to check equality. it equality holds that's the coordinates we are looking for.

here 2nd coordinate holds the equality

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3 years ago

Solve this application problem using a system of equations: The Bright College footballteam scored 80 times last season, some on

Goryan [66]

Answer:

$\large \boxed{\sf \ \ 69 \ \textbf{touchdowns } 11 \ \textbf{field goals } \ }$

Step-by-step explanation:

Hello,

Touchdown is 7 points, field goals is 3 points

Let's note a the number of touchdowns and b the number of field goals, we can write

(1) a + b = 80

(2) 7a + 3b = 516

(2) - 3*(1) gives

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<=> 7a + 3b -3a - 3b = 516 - 240 = 276

<=> 4a = 276

<=> $a=\dfrac{276}{4}=69$

And then from (1) b = 80 - 69 = 11

Hope this helps

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3 years ago

What is the answer?1 2 3 4

Vesna [10]

Answer:

x = 52

Step-by-step explanation:

Vertical angles are angles that are opposite from each other.

According to the vertical angles theorem, vertical are are congruent. Therefore, if the angles opposite of x is 52 degrees, angle x also equal 52 degrees.

8 0

3 years ago

23. Kelvin travelled of his journey at 45 km/h and of the remaining journey at 90 km/h. The rest of his journey was completed in

Sonja [21]

Answer:

4.6 hours

Step-by-step explanation:

we first need to calculate the total distance he covered and total time taken whole for the journey.

Distance= speed X time

time = Distance/speed

let the total distance be X. he covers 2/5 if the journey first.

2/5 = 0.4

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0.6x.

the remaining distance was X - 0.6x = 0.4 X

thus 120 km represents 0.4x of the journey

we calculate now the value of X

0.4x = 120

X = 300km

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replace X to get time

2.7 hours + 0.7 hours + 1.2 hours

= 4.6 hours

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1 year ago

What are the ordered pairs of the

OlgaM077 [116]

Answer:

The two points solutions to the system of equations are: (2, 3) and (-1,6)

Step-by-step explanation:

These system of equations consists of a parabola and a line. We need to find the points at which they intersect:

$x^2-2x+3=-x+5\\x^2-2x+x+3-5=0\\x^2-x-2=0\\(x-2)(x+1)=0$

Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:

x = 2 and x = -1

Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:

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Then the two points solutions to the system of equations are: (2, 3) and (-1,6)

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3 years ago