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2 years ago

Givien g(x) = -3x-5 , find g(4)

Mathematics

2 answers:

Marina86 [1]2 years ago

8 0

Answer: g(4)=-17

Step-by-step explanation:

You just plug in 4 into x.

-3(4)-5
-12-5
=17

Westkost [7]2 years ago

7 0

Answer:

g(4) = -17

Step-by-step explanation:

Hello!

Substitute 4 for x in the equation.

<h3>Evaluate</h3>

g(x) = -3x - 5
g(4) = -3(4) - 5
g(4) = -12 - 5
g(4) = -17

g(4) is -17.

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Goshia [24]

If your ratio is 1 : 50, then for every 1 ft of the model, you have 50 feet of actual church. Thus, if the model is 3.5 ft, then

1 / 50 = 3.5 / x

where x is the actual height of the church. Cross multiply and solve for x.

1 * x = 50 * 3.5
x = 175

Thus, the actual church is 175 ft

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3 years ago

Question 3 A school wants to know what type of new food to add to the cafeteria menu for next year that most students will like.

Alik [6]

Yes because if you are asking every 4th kid then you are have a chance of one of of four

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3 years ago

Use sigma notation to represent the sum of the first six terms of the following sequence: −10, −13, −16, …

SSSSS [86.1K]

Sigma notation of sequence −10, −13, −16, … is $\sum_{n=1}^{6}-(3 n+7)$

<h3><u>Solution:</u></h3>

Need to determine the sigma notation for the following sequence

−10, −13, −16, …

Let's try to build a generic formula for given sequence

The given sequence is in Arithmetic progression where first term = -10 and common difference = -3

<em><u>The formula for arithmetic progression is given as:</u></em>

$a_n = a_1 + (n - 1)d$

Where,

$a_n$ is the nth term in the sequence

$a_1$ is the first term in the sequence

d is the common difference between the terms

Here in this sequence $a_1$ = -10 and d = -3

$a_n = -10 + (n - 1)(-3)\\\\a_n = -10 - 3n + 3\\\\a_n = -3n - 7$

So generic formula for a term is – ( 3n + 7 )

$\begin{array}{l}{\text { For } \mathrm{n}=1, \text { term is }-(3 \times 1+7)=-10} \\\\ {\text { For } \mathrm{n}=2, \text { term is }-(3 \times 2+7)=-13} \\\\ {\text { For } \mathrm{n}=3, \text { term is }-(3 \times 3+7)=-16}\end{array}$

And so on

<em><u>Using sigma notation for arithmetic sequence:</u></em>

$\sum_{k=1}^{n} a_{k}$

So for first six terms value of n will vary from 1 to 6 and in sigma notation it can be represented as

$\sum_{n=1}^{6}-(3 n+7)$

3 0

3 years ago

6) Select the best method to solve the system.

Andrew [12]

Answer:

Elimination

x=-5 and y=-8

Step-by-step explanation:

-(5x-4y=7) <--- Multiply by a negative so that y can cancel out

4x-4y=12

=-5x+4y=-7

4x-4y=12

=-x=5

x=-5

5(-5)-4y=7 <--- plug x back in to solve for y

-25-4y=7

+25 +25

-4y/-4=32/-4

y=-8

7 0

3 years ago

Find x and y <br><br> pls help

Airida [17]

Answer X=14, Y=55
See diagram
To find X, I know the angles will equal 180
110 + 5x = 180
Subtract 110 from both sides to isolate X
5x = 70, solve for X, divide both sides by 5
X = 14
Do the same for Y
We know the triangle will equal 180
So (5x) is (5x14= 70) and the other angle is 40.
180-40-70 = 70 for the unknown angle in the triangle.
We know the angles in the Y part of the question will equal 180 so
70 + 2y = 180, subtract 70 from both sides to isolate Y
2y = 110, now solve for Y by dividing both sides by 2
Y = 55

6 0

2 years ago

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