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siniylev [52]
3 years ago
7

What is the product of (4y-y)(9+4x+3y)​

Mathematics
2 answers:
garik1379 [7]3 years ago
7 0
(4y-y)x(9+4x+3y)
Subtract the terms 3yx(9+4x+3y).
Add the terms 3yx(4x+3y+9).
Apply the distributive property
3yx4x+3yx3y+3yx9.
Multiply the terms 12xy+3yx3y+3yx9.
Multiply the terms 12xy+9ysq+3yx9.
Solution = 12xy+9ysq+27y..............
(Note I put sq because my phone don’t allow 2 on a y)
shtirl [24]3 years ago
3 0

Step-by-step explanation:

(4y-y)(9+4x+3y)

36y+16xy+12y^2-9y-4xy-3y^2

collect like terms

36y-9y+16xy-4xy+12y^2-3y^2

=27y +12xy+9y^2

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Can someone help me? I know I'm doing something wrong but I'm not sure what.
Natasha2012 [34]

Answer:

Step-by-step explanation:

CI = 624 x 1.05 ^3 =722.358 for whole investment   722.36-624 =98.36 for interest only

or for interest only do 624 x .05^3 = 98.36

Standard interest is done like this

year 1 = 624 x 1.05 = 655.20

655.20-624 = 31.20

year 2 = 655.20 + 31.20 = 686.40

year 3 = 686.40 + 31.20 = 717.60

total interest = 717.60-624 = 93.60

So standard interest is the method you have done they may be asking for either compound interest which is the first one or asking for whole investment which means you need to also add 624 at end for Standard interest.

if you need CI interest do the top one.

8 0
2 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1000 vo
Georgia [21]

Answer:

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

p_v =P(z>2.530)=0.0057  

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

\hat p=0.54 estimated proportion of residents that favored the annexation

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:  

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info required we can replace in formula (1) like this:  

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.530)=0.0057  

7 0
3 years ago
Find an equation of the tangent line to the graph of
lakkis [162]

Answer:

y + 4 = -3 (x - 5)

In other words,

y = -3 x + 11

Step-by-step explanation:

The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.

The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).

Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,

  • m = 3,
  • a = 5, and
  • b = -4.

What will be the equation of this line?

6 0
2 years ago
Read 2 more answers
-7 2/3 + (-5 1/3) + 8 3/4=?<br> A: 6 7/12<br> B: -4 5/12<br> C: -21 11/12<br> D: 4 2/3
balandron [24]

Its B

Hope this helps!

May I have brainliest please? :D

4 0
3 years ago
Read 2 more answers
140 subtracted from the square of a number the result is three times the number find the negative solution
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Answer:

Suppose~that~the~number~is~x.\\According~to~question,\\x^2-140=3x\\or, x^2-3x-140=0\\From~the~quadratic~formula,\\x = \frac{-(-3)+\sqrt{(-3)^2-4(1)(-140)} }{2(1)} ~and ~x= \frac{-(-3)-\sqrt{(-3)^2-4(1)(-140)} }{2(1)} \\or, x = \frac{3+\sqrt{9+560} }{2}~and~x=\frac{3-\sqrt{9+569} }{2}\\or, x = \frac{3+\sqrt{569} }{2}~and~x=\frac{3-\sqrt{569} }{2}\\So,~the~required~negative~number~is~\frac{3-\sqrt{569} }{2}.

5 0
2 years ago
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