Help me please?

x = -3.5 or x = 1.7

Step-by-step explanation:

Start by factoring the left side.

We need to find two numbers that have a product of -210 (6 * -35) and a sum of 11...

-10*21=-210

-10+21=11

We can rewrite 11x as -10x+21x...

Then, factor the first and second half of the left side individually:

Since 2x and 7 are both being multiplied by 3x-5, we can combine them to get:

Divide the equation by 3x-5:

2x+7=0

Subtract 7 from both sides

2x=-7

Divide both sides by 2

x=-7/2=-3.5

Now, we also have to consider another answer, in which we divide the equation by 2x+7 instead of 3x-5:

3x-5=0

Add 5 to both sides

3x=5

Divide both sides by 3

x=5/3≈1.7

answer: 2530

hope this

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;