All categories

3 years ago

Which of the following is the solution set to the inequality −25x+14>20?

Mathematics

1 answer:

Bezzdna [24]3 years ago

8 0

Answer:

Option C. $x < -15$

Step-by-step explanation:

The correct inequality is

$-\frac{2}{5}x+14 >20$

Solve for x

subtract 14 both sides

$-\frac{2}{5}x+14-14 >20-14$

$-\frac{2}{5}x >6$

Multiply by -1 both sides

$\frac{2}{5}x < -6$

Multiply by 5/2 both sides

$x < -6(\frac{5}{2})$

$x < -15$

You might be interested in

According to a study, 91% of all adults have a cell phone. An employee of a cell phone company attends a community event and has

umka2103 [35]

Answer:

(0.91)^{20}(0.09)

Step-by-step explanation:

6 0

3 years ago

If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.

Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have $S_1=3\times2^{1-1}+2(-1)^1=3-2=1$ , which agrees with the initial value S₁ = 1.

• Assume the closed form is correct for all n up to n = k. In particular, we assume

$S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}$

and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for n = k + 1, or

$S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}$

From the given recurrence, we know

$S_{k+1}=S_k+2S_{k-1}$

so that

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)$

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

$S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)$

$S_{k+1}=3\times2^k-2(-1)^k$

$S_{k+1}=3\times2^k+2(-1)(-1)^k$

$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

6 0

3 years ago

Help help help help help

Semenov [28]

Your answers are a and d hope this helps

4 0

3 years ago

Given the functions =−12 (2)x+3. Select all statements that are true.

Natali5045456 [20]

There ya go, the graphing

8 0

2 years ago

A 180 pound weight is supported by two ropes each at 30 degrees, as shown in the figure. Find the tension in each rope.

Anit [1.1K]

Answer:

103.9 lb.

Step-by-step explanation:

T cos 30°+T cos 30°=180

2T cos 30°=180

T=103.9 lb.

6 0

2 years ago

Read 2 more answers