All categories

2 years ago

Solve the inequality: 4 +5t < 19

Mathematics

2 answers:

Hunter-Best [27]2 years ago

5 0

Answer:

t < 3 is the answer

Step-by-step explanation:

source: https://www.tiger-algebra.com/drill/4_5t%3C19/

^ (it has an explanation too)

iogann1982 [59]2 years ago

4 0

4 + 5t < 19
Subtract 4 from both sides
5t < 19 - 4 or 5t < 15
Divide both sides by 5
t < 3

You might be interested in

If (6 to the second power )x = 1 what is the value of x? Explain your answer.

Kaylis [27]

Answer:

x=1/36

Step-by-step explanation:

$(6^{2} )x=1\\\\36x=1\\\\\frac{36x}{36}=\frac{1}{36}\\\\x=\frac{1}{36}$

4 0

3 years ago

Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x

Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

Vertex form

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

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

$\implies a=3$

Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

$\implies 3(x-1)^2-108=0$

$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

7 0

2 years ago

URGENT PLEASE HELP

Inga [223]

Answer:

y = - $\frac{1}{3}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 3 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{3}$ , hence

y = - $\frac{1}{3}$ x + c ← is the partial equation of the perpendicular line

To find c substitute (3, 1) into the partial equation

1 = - 1 + c ⇒ c = 1 + 1 = 2

y = - $\frac{1}{3}$ x + 2 ← equation of perpendicular line

4 0

2 years ago

Braniliest ASAP thanks!

Leokris [45]

The answer that you are looking for is d

3 0

2 years ago

Read 2 more answers

You randomly survey 40 students about whether they play an instrument. You find that 8 males play an instrument and 13 females d

VashaNatasha [74]

Answer:

Step-by-step explanation:

7 0

2 years ago