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gogolik [260]
3 years ago
6

Simplify 2( x - 3) + 7( x + 2). A. 9 x - 8 B. 9 x + 3 C. 9 x + 8

Mathematics
2 answers:
kupik [55]3 years ago
8 0

Answer: C. 9x + 8

Step-by-step explanation: Multiplied out, this is the long simplified answer:

2x - 6 + 7x + 14.

Add like terms together and you end up with:

9x + 8.

So your answer would be C.

Lynna [10]3 years ago
3 0

Answer:

Your answer should be C. 9x + 8.

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An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date o
skelet666 [1.2K]

Answer:

x1=c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)

x2=c(30,42,47,47,43,41,48,44,43,50,56,60)

y=c(210,110,103,103,91,76,73,70,68,53,45,31)

mod=lm(y~x1+x2)

summary(mod)

R output: Call:

lm(formula = y ~ x1 + x2)

Residuals:  

   Min      1Q Median      3Q     Max

-41.730 -12.174   0.791 12.374 40.093

Coefficients:

        Estimate Std. Error t value Pr(>|t|)    

(Intercept) 415.113     82.517   5.031 0.000709 ***  

x1            -6.593      4.859 -1.357 0.207913    

x2            -4.504      1.071 -4.204 0.002292 **  

---  

Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1  

Residual standard error: 24.45 on 9 degrees of freedom  

Multiple R-squared: 0.768,     Adjusted R-squared: 0.7164  

F-statistic: 14.9 on 2 and 9 DF, p-value: 0.001395

a).  y=415.113 +(-6.593)x1 +(-4.504)x2

b). s=24.45

c).  y =415.113 +(-6.593)*21.3 +(-4.504)*43 =81.0101

residual =68-81.0101 = -13.0101

d). F=14.9

P=0.0014

There is convincing evidence at least one of the explanatory variables is significant predictor of the response.

e).  newdata=data.frame(x1=21.3, x2=43)

# confidence interval

predict(mod, newdata, interval="confidence")

#prediction interval

predict(mod, newdata, interval="predict")

confidence interval

> predict(mod, newdata, interval="confidence",level=.95)

      fit      lwr      upr

1 81.03364 43.52379 118.5435

95% CI = (43.52, 118.54)

f).  #prediction interval

> predict(mod, newdata, interval="predict",level=.95)

      fit      lwr      upr

1 81.03364 14.19586 147.8714

95% PI=(14.20, 147.87)

g).  No, there is not evidence this factor is significant. It should be dropped from the model.

4 0
3 years ago
Find the equation of circle (5,1) diameter 4 square root 5​
stepladder [879]

Answer:

(x-5)^2+(y-1)^2=20

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

(where (a, b) is the center and r is the radius)

Given:

  • center = (5, 1)
  • diameter = 4√5

Diameter = 2r (where r is the radius)

⇒ r = 4√5 ÷ 2 = 2√5

Substituting these values into the equation:

\implies (x-5)^2+(y-1)^2=(2\sqrt{5})^2

\implies (x-5)^2+(y-1)^2=20

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2 years ago
Need help, what is the answer???
IRISSAK [1]

Answer:

9

Step-by-step explanation:

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3 years ago
The product of the slopes of perpendicular lines equals what?
d1i1m1o1n [39]

If two non-vertical lines are perpendicular, then their slopes are opposite reciprocals giving you -1.

:) Hope this helps.

8 0
3 years ago
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How can I use decimal models to subtract decimals
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Just act like you are subtracting normal numbers, and then an a decimal in front of the answer!
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3 years ago
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