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enot [183]
3 years ago
11

Given the table, write and equation for the function, and describe what it does. ASAP!!!

Mathematics
1 answer:
k0ka [10]3 years ago
3 0

Answer:

f(x) = 3x + 1

Step-by-step explanation:

f(x) = 3x + 1

f(1) = 3+1 = 4

f(2) = 3*2 + 1 = 7

f(3) = 3*3 + 1 = 10

f(4) = 3*4 + 1 = 13

it's a linear function with slope 3 and y intercept 1

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Quadrilateral ABCD is a rectangle. If AG = -7j + 7 and DG = 5j + 43, find BD
Kaylis [27]

<em>BD</em> = 56

Step-by-step explanation:

Step 1: In rectangle, the diagonals are congruent and bisect each other.

So, <em>AC</em> = <em>BD</em>

⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>

⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>

⇒ 2<em>AG</em> = 2<em>GD</em>

⇒<em>AG</em> = <em>GD</em>

⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43

⇒–7<em>j</em> – 5<em>j</em> = 43 – 7

⇒–12<em>j</em> = 36

⇒<em>j</em> = –3

Step 2: <em>BD</em> = 2<em>DG</em>

<em>BD</em> = 2(5<em>j</em> + 43)

     = 2(5 (–3) + 43)

     = 2(–15 + 43)

     = 2 × 28

     = 56

Hence, <em>BD</em> = 56.

4 0
3 years ago
In a pile of coins there are 7 more quarters than nickels. If there is a total of$2.65 in coins, how many quarters are there?
Alinara [238K]
<span>A quarter is equivalent to 25 cents or $0.25 and a nickel is equal to 5 cents or $0.05. In the given in this item, if there are x nickels then, there are x + 7 quarters. With these and the total amount known, we can now compute for the value of x.
                 (x)(0.05) + (x + 7)(0.25) = 2.65
 Simplifying,
             0.05x + 0.25x + 1.75 = 2.65
 Simplifying further,
                0.3x = 0.9
 The value of x from the equation is 3. Hence, there are 10 quarters.</span>
6 0
3 years ago
Read 2 more answers
One of the questions Rasmussen Reports included on a 2018 survey of 2,500 likely voters asked if the country is headed in right
kap26 [50]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

553 - No

70 - Not Sure

384 - Yes

Total = (553 + 70 + 384) = 1007

Proportion who do think country is headed in the right direction :

P = yes / total = 384/1007 = 0.381

b.) Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.381 = 0.619

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.381(0.619)/1007

Margin of error = 0.030

C.)

95% confidence interval for heading in the right direction:

P ± margin of error

P ± 0.030

Lower boundary = 0.381 - 0.030 = 0.351

Upper boundary = 0.381 + 0.030 = 0.411

(0.351 ; 0.411)

D.)

Confidence interval for people who don't think :

P = 553 / 1007 = 0.549

Confidence interval = P ± margin of error

Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.549 = 0.451

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.549(0.451)/1007

Margin of error = 0.031

P ± margin of error

P ± 0.031

Lower boundary = 0.549 - 0.031 = 0.518

Upper boundary = 0.549 + 0.031 = 0.580

(0.518 ; 0.580)

E.)

The interval with smaller error margin is ; 0.030 (those who think country is headed in the right direction because sample proportion is farther from .5 / farther from 1)

6 0
3 years ago
SOMEONE HELP PLEASE NEED ANSWER ASAP!!!
shepuryov [24]

Answer:

3

Step-by-step explanation:

=12/4

the common ratio =3

3 0
3 years ago
What is the missing term? (10x-4x^2)-(7x+?)=3x-6x^2
mafiozo [28]
The answer is 2x<span>^2
Because everything on the right of the minus sign will turn negative

</span>
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3 years ago
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