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Ket [755]
2 years ago
15

Solve the equation. −4x+3=19

Mathematics
2 answers:
algol132 years ago
7 0

Answer:

\large\boxed{x=-4}

Step-by-step explanation:

-4x+3=19\qquad\text{subtract 3 from both sides}\\\\-4x+3-3=19-3\\\\-4x=16\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{16}{-4}\\\\x=-4

nordsb [41]2 years ago
7 0

Step 1: Combine like terms ( 3 and 19) by subtracting 3 to both sides

-4x + (3-3) = 19 -3

-4x = 16

Step 2: Isolate x by dividing -4 to both sides

\frac{-4x}{-4} =\frac{16}{-4}

x = -4

Hope this helped!

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Come up with a rule for adding integers.
Digiron [165]

Answer:

The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which is the quotient for
mars1129 [50]

Answer:

i think its D

Step-by-step explanation:

D

3 0
3 years ago
According to a recent​ survey, the population distribution of number of years of education for​ self-employed individuals in a c
creativ13 [48]

Answer:

a) X: number of years of education

b) Sample mean = 13.5, Sample standard deviation = 0.4

c) Sample mean = 13.5, Sample standard deviation = 0.2

d) Decrease the sample standard deviation

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 13.5 years

Standard deviation,σ = 2.8 years

a) random variable X

X: number of years of education

Central limit theorem:

If large random samples are drawn from population with mean \mu and standard deviation \sigma, then the distribution of sample mean will be normally distributed with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

b) mean and the standard for a random sample of size 49

\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{49}} = 0.4

c) mean and the standard for a random sample of size 196

\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{196}} = 0.2

d) Effect of increasing n

As the sample size increases, the standard error that is the sample standard deviation decreases. Thus, quadrupling sample size will half the standard deviation.

7 0
3 years ago
Evaluate f(−1)=−3x^3 + 2x^2
Sholpan [36]

Answer:

5

Step-by-step explanation:

f(-1)= -3(-1)³+2(-1)²

= -3(-1)+2(1)

= 3+2

=5

5 0
2 years ago
A boat can travel 40mph in still water. If it travels 126 miles with the current in the same length of time it travels 114 miles
Elena-2011 [213]

Answer:

rate of the current = 2 mph

Step-by-step explanation:

d = rt

Let c = rate of the current

Rate going downstream = c + 40

Time going downstream = 126/(40 + c)

Rate going up stream =  40 - c

Time going upstream = 114/(40 - c)

Since the times are equal, then

126/(40 + c) = 114/(40 - c)

126(40 - c) = 114(40 + c)

5040 - 126c = 4560 + 114c

   240c  =  480

          c = 2 mph

8 0
2 years ago
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