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1 year ago

Solve this equation. Enter your answer in the box. 75 – 3.5y – 4y = 4y + 6

Mathematics

2 answers:

Wewaii [24]1 year ago

5 0

y=6

Step-by-step explanation:

$75 - 3.5y - 4y = 4y + 6$

Collect like terms and simplify

$- 3.5y + 4y - 4y = 6 - 75 \\ - 11.5y = - 69$

Divide both sides of the equation by-3.5

$\frac{ - 11.5y}{ -11.5} = \frac{ - 69}{ - 11.5}$

Simplify

$y = 6$

Elodia [21]1 year ago

4 0

Answer:

y = 6

Step-by-step explanation:

Add like terms: 75 - 7.5y = 4y +6

subtract 6 from both sides: 69 - 7.5y = 4y

add 7.5y to both sides: 69 = 11.5y

divide both sides by 11.5: 6 = y

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Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan

vovangra [49]

Answer:

a. Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Step-by-step explanation:

Monthly payments for a 9-year 5.8% loan for $19,450 are $231.59, so the total repaid is ...

108 payments × $231.59 per payment = $25,011.72

Together with the service charge, the cost of the loan is ...

$25,011.72 + 925.00 - 19,450 = $6,486.72

Monthly payments for a 10-year 5.5% loan for $19,450 are $211.08, so the total repaid is ...

120 payments × $211.08 per payment = $25,329.60

Together with the service charge, the cost of the loan is ...

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Difference of charges

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$6,570.45 -6486.72 = $83.73 . . . . . matches choice A

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1 year ago

Which graph represents the function f(x) = -|x+3|?

Fofino [41]

The last one is correct

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2 years ago

Read 2 more answers

se the function to show that fx(0, 0) and fy(0, 0) both exist, but that f is not differentiable at (0, 0). f(x, y) = 9x2y x4 + y

alexandr1967 [171]

Answer:

It is proved that $f_x, f_y$ exixts at (0,0) but not differentiable there.

Step-by-step explanation:

Given function is,

$f(x,y)=\frac{9x^2y}{x^4+y^2}; (x,y)\neq (0,0)$

To show exixtance of $f_x(0,0), f_y(0,0)$ we take,

$f_x(0,0)=\lim_{h\to 0}\frac{f(h+0,k+0)-f(0,0)}{h}=\lim_{h\to 0}\frac{\frac{9h^2k}{h^4+k^2}-0}{h}\\\therefore f_x(0,0)=\lim_{h\to 0}\frac{9hk}{h^4+k^2}=\lim_{h\to 0}\frac{9k}{h^3+\frac{k^2}{h}}=0$ exists.

And,

$f_y(0,0)=\lim_{k\to 0}\frac{f(h,k)-f(0,0)}{k}=\lim_{k\to 0}\frac{9h^2k}{k(h^4+k^2)}=\lim_{k\to 0}\frac{9h^2}{h^4+k^2}=\frac{9}{h^2}$ exists.

To show f(x,y) is not differentiable at the origin cheaking continuity at origin be such that,

$\lim_{(x,y)\to (0,0)}\frac{9x^2y}{x^4+y^2}=\lim_{x\to 0\\ y=mx^2}\frac{9x^2y}{x^4+y^2}=\frac{9x^2\times m x^2}{x^4+m^2x^4}=\frac{9m}{1+m^2}$ where m is a variable.

which depends on various values of m, therefore limit does not exists. So f(x,y) is not continuous at (0,0). Hence it is not differentiable at (0,0).

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2 years ago

Milena wants to power toy cars and helicopters using batteries. Her goal is to power at least 11 toys with a most 60 batteries .

Anni [7]

Answer:

8 helicopters at most

Step-by-step explanation:

I worked on this problem and that was the answer not 99 like the other.

6 0

1 year ago

If a 10-pound turkey costs $20.42.how much does a 21-pound turkey cost

sergij07 [2.7K]

Answer:

$42.88

Step-by-step explanation:

Let's create a proportion using the following setup:

cost/pounds=cost/pounds

We know that it costs $20.42 for a 10 pound turkey.

$20.42/10 pounds= cost/pounds

We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.

$20.42/ 10 pounds= $x/ 21 pounds

20.42/10=x/21

We want to find x, by getting x by itself.

x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.

21*(20.42/10)=(x/21)*21

21* 20.42/10=x

21*2.042=x

42.882=x

Round to the nearest cent, or hundredth.

42.88=x

x= $42.88

A 21 pound turkey costs $42.88

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1 year ago