Ask question

Ask question

All categories

3 years ago

6

The inequality x+c>-2.55 has the solution x>4.85 What is the value of c? How do you know?

1 answer:

Novay_Z [31]3 years ago

7 0

Answer:

$\large\boxed{c=-7.4}$

Step-by-step explanation:

$x+c>-2.55\qquad\text{subtract c from both sides}\\\\x>-2.55-c\\\\\text{We have the solution}\ x>4.85.\ \text{Therefore}\\\\-2.55-c=4.85\qquad\text{add 2.55 to both sides}\\\\-2.55+2.55-c=4.85+2.55\\\\-c=7.4\qquad\text{change the signs}\\\\c=-7.4$

You might be interested in

5/2+18/5+11/4 what is the answer for this question

Likurg_2 [28]

Answer:

Step-by-step explanation:

basicallyi you want to find a common denominator before you add them up. the common denominator in this case would be 20, since it's the first common multiple all of them share

50/20 plus 72/20 plus 55/20

177/20 would be your answer

3 0

3 years ago

Read 2 more answers

Find the x- and y- intercepts of the following equation.

Ivanshal [37]

Answer:

The x-intercept is $(4,0)$

The y-intercept is $(0,-3)$

Step-by-step explanation:

Suppose you have a function f:

$f = f(x,y) = 0$

The x-intercept is the value of x when $y = 0$ .

The x-intercept is the value of y when $x = 0$ .

Solution

We have:

$f(x,y) = -3x + 4y = -12$

$-3x + 4y + 12 = 0$

x-intercept

The x-intercept is the value of x when $y = 0$ . So:

$-3x + 4(0) + 12 = 0$

$-3x + 12 = 0$ *(-1)

$3x - 12 = 0$

$3x = 12$

$x = \frac{12}{3}$

$x = 4$

The x-intercept is $(4,0)$

y-intercept

The y-intercept is the value of y when $x = 0$ . So:

$-3(0) + 4y + 12 = 0$

$4y + 12 = 0$

$4y = -12$

$y = \frac{-12}{4}$

$y = -3$

The y-intercept is $(0,-3)$

5 0

3 years ago

The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)

Virty [35]

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

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

where $a_1$ is the first term and $d$ is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is $a_n$ .

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

$a_1=9.5+2(1-1)$

$a_1=9.5+2(0)$

$a_1=9.5+0$

$a_1=9.5$

Let n=2:

$a_2=9.5+2(2-1)$

$a_2=9.5+2(1)$

$a_2=9.5+2$

$a_2=11.5$

Let n=3:

$a_3=9.5+2(3-1)$

$a_3=9.5+2(2)$

$a_3=9.5+4$

$a_3=13.5$

Let n=4:

$a_4=9.5+2(4-1)$

$a_4=9.5+2(3)$

$a_4=9.5+6$

$a_4=15.5$

Let n=5:

$a_5=9.5+2(5-1)$

$a_5=9.5+2(4)$

$a_5=9.5+8$

$a_5=17.5$

Let n=6:

$a_6=9.5+2(6-1)$

$a_6=9.5+2(5)$

$a_6=9.5+10$

$a_6=19.5$

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

5 0

3 years ago

What is 6,007,200 in expanded and word form?

katrin [286]

Six million seven thousand two hundred

7 0

3 years ago

Read 2 more answers

Please help me c:

netineya [11]

Oscar played games vs number of points he scored is, C) positive, linear association.

Step-by-step explanation:

no association is when points Oscar graph will remain between 8to10.
number of games he scored his points remain the same which is mean.
non linear is only when there is no straight line passing.
Linear is either exponential or polynomial.
Positive as the game increase he scoring abilities increases.
Negative as the game increases his scoring decreases.
Negative x axis will have more number of points.
Negative y axis will high to low of the graph.
Linear lines are best way to predict a data doesn't work will all data.

8 0

3 years ago