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3 years ago

Solve the inequality 3x^2 + 10x - 8 < 0

Mathematics

1 answer:

Ksivusya [100]3 years ago

8 0

Step-by-step explanation:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

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Simplify the expression 8 + (7 + x)

baherus [9]

Answer:

15 + x

Step-by-step explanation:

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2 years ago

Lin solved the equation 8(x - 3) + 7 = 2x(4 - 17) incorrectly. Identify the TWO errors Lin made while solving.

Arlecino [84]

Answer:

when she subtracts 8x to 26 and dividing

Step-by-step explanation:

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3 years ago

Read 2 more answers

Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid

marishachu [46]

Answer:

$Density = 1.094g/cm^3$

Step-by-step explanation:

Given

$Length = 17.7cm$

$Width = 8.3cm$

$Height = 13.0cm$

$Mass = 2090g$

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

$Volume = Length * Width * Height$

Substitute values for Length, Width and Height

$Volume = 17.7cm * 8.3cm * 13.0cm$

$Volume = 1909.83cm^3$

The density is:

$Density = \frac{Mass}{Volume}$

$Density = \frac{2090g}{1909.83cm^3}$

$Density = 1.094g/cm^3$ <em> --- approximated</em>

5 0

3 years ago

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

4 0

3 years ago

Today, a round-trip plane ticket from Los Angeles to New York costs $350. If the average annual inflation rate is 2.5%, how much

Brrunno [24]

Answer = 875

350 x 2.5 = 875

4 0

3 years ago

Solve the inequality 3x^2 + 10x - 8 < 0​

Solve the inequality 3x^2 + 10x - 8 < 0