2 years ago

Find the values of x for which the following inequalities are satisfied 2x^2+3x<14

Mathematics

1 answer:

deff fn [24]2 years ago

6 0

Answer:

x<-3.5 or x<2

Step-by-step explanation:

2x²+3x<14

2x²+3x-14<0

2x²-4x+7x-14<0

2x(x-2)+7(x-2)<0

(2x+7)(x-2)<0

2x+7<0 or x-2<0

2x<-7 or x<2

x<-3.5

You might be interested in

Write a linear equation that passes through the point (2,-9) and has a slope of -5

Anna [14]

Answer:

y = -5x + 1

Step-by-step explanation:

Given:

The slope m = -5 and point (2, -9)

Use point slope form:

y - y₁ = m(x - x₁), where (x₁, y₁) is the given point

So the equation is:

y - (-9) = -5(x - 2)
y + 9 = -5x + 10
y = -5x + 1

3 0

2 years ago

Which of the following are congruent angles?

lozanna [386]

Letter B. X is a vertical angle, and so is F. Vertical angles are all congruent.

3 0

2 years ago

Read 2 more answers

JM is the perpendicular bisected of LM. Which segments are congruent?

Lena [83]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Can someone help me.

salantis [7]

Answer:

see explanation

Step-by-step explanation:

substitute the values of x in the table into g(x)

Using the rule of exponents

$a^{-m}$ = $\frac{1}{a^{m} }$

g(- 2) = $4^{-2}$ = $\frac{1}{4^{2} }$ = $\frac{1}{16}$

g(- 1) = $4^{-1}$ = $\frac{1}{4}$

g(0) = $4^{0}$ = 1

g(1) = $4^{1}$ = 4

g(2) = 4² = 16

8 0

2 years ago

Read 2 more answers

Which of the following is an arithmetic sequence?

mr_godi [17]

Answer:

222

Step-by-step explanation:

1114-5646

7 0

2 years ago