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Oksana_A [137]
2 years ago
14

Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...

Mathematics
2 answers:
ivolga24 [154]2 years ago
6 0

Answer:

Step-by-step explanation:

hello :

-75-(-55) = (-55)-(-35) = (-35)-(-15)=-20

the ratio diff is : d=-20

the nth term is :An=A1+(n-1)d      A1 =-15

An=-15+(n-1)(-20) = 15-20n+20

An = -20n+5

26th term when : n=26       A26 = -20(26)+5 = -515

A26= -515

disa [49]2 years ago
5 0

Answer:

-515

Step-by-step explanation:

In this example the first value is −15 and every value afterwards is 20 less.

After substituting these values to above formula, we obtain:

All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515

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Answer:

domain: All real numbers

Range: all real numbers greater than or equal to 0

Step-by-step explanation:

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1 year ago
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Delilah and a group of friends had excellent service at a restaurant. They would like to give the server a 25 percent gratuity o
nikklg [1K]

Answer:

$35

Step-by-step explanation:

There is no attached diagram, but despite this, the tip amount can be calculated, since we know the total value of the expense in the restaurant and the percentage of tips they want to give, therefore it would be the multiplication of the total by the percentage like this:

140 * 0.25 = 35

$ 35 would be the value of the tip

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2 years ago
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The perimeter of the norwegian flag is 190 inches. What are the dimensions of the flag?
mario62 [17]
<span>The dimensions are 40 inches by 55 inches.

Explanation<span>:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.

Combining like terms, we have
2y+22/8y=190.

Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.

Divide both sides by 4 3/4:
(4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4)
y=190</span></span>÷<span><span>(4 3/4).

Convert the mixed number to an improper fraction:
y=190</span></span>÷<span><span>(19/4).

To divide fractions, flip the second one and multiply:
 y=190*(4/19)=760/19=40.

Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>
8 0
2 years ago
Which relationship has a zero slope?
Ivenika [448]

9514 1404 393

Answer:

  A.  A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2

Step-by-step explanation:

The relationship that has constant y-values is the one with zero slope. That would be the first table.

6 0
1 year ago
The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).
iogann1982 [59]

Answer:

y=2x^2+8x-12

Step-by-step explanation:

To write the quadratic equation, begin by writing it in vertex form  

y = a(x-h)^2+k

Where (h,k) is the vertex of the parabola.

Here the vertex is (-2,-20). Substitute and write:

y=a(x--2)^2+-20\\y=a(x+2)^2-20

To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,-12) the y-intercept of the parabola.

-12=a((0)+2)^2-20\\-12=a(2)^2-20\\-12=4a-20\\8=4a\\2=a

The vertex form of the equation is y=2(x+2)^2-20.

You can convert this into standard form by using the distributive property.

y=2(x+2)^2-20\\y=2(x^2+4x+4)-20\\y=2x^2+8x+8-20\\y=2x^2+8x-12



4 0
2 years ago
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