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3 years ago

Roberto made a 74 on last week's math quiz. This week he made an 85 on

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

6 0

Answer:

His quiz score increased by about 7%.

Step-by-step explanation:

Take the two quiz scores and add them together to get 159.

Take the difference between the two quiz scores to get 11.

Divide the difference by the sum to get 0.0692 or about 7%.

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the zero-product property and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the second equation and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

1 year ago

Read 2 more answers

D. Direction: Plot following irrational numbers in the given number line.

Tju [1.3M]

Answer:

Numbers and plot location given below:

√15 = 3.9 located between 3.8 and 4.0
√46 = 6.8 located between 6.7 and 6.9
√55 = 7.4 located between 7.3 and 7.5
√60 = 7.7 located between 7.6 and 7.8
√96 = 9.8 located between 9.7 and 9.9
√14 = 3.7 located between 3.6 and 3.9
√22 = 4.7 located between 4.6 and 4.8
√75 = 8.7 located between 8.6 and 8.9
√34 = 5.8 located between 5.7 and 5.9
√57 = 7.5 locate between 7.4 and 7.6

8 0

3 years ago

(1 point) In 7 years Harry and Sally would like to have $14000 for a down payment on a house. How much should they deposit each

den301095 [7]

Answer:

$110.37

Step-by-step explanation:

Assuming the monthly payment is made at the beginning of the month, the formula for the monthly payment P that gives future value A will be ...

... A = P(1+r/12)((1+r/12)^(nt) -1)/(r/12) . . . . n=compoundings/year, t=years

... 14000 = P(1+.11/12)((1+.11/12)^(12·7) -1)/(.11/12)

... 14000 = P(12.11)((1+.11/12)^84 -1)/0.11 ≈ P·126.84714 . . . . fill in the given values

... P = 14000/126.84714 = 110.37 . . . . . divide by the coefficient of P

They should deposit $110.37 at the beginning of each month.

6 0

3 years ago

What is the measure of Zc

maks197457 [2]

Answer: 56 degrees

Step-by-step explanation:

We know that angle between b and c is 90 degrees. Because there is a line dividing angles a and b from 124 and c, we also know that each side is 180 degrees (a and b add to 180, and 124 and c add to 180).

124 and c are supplementary angles. We can represent this in an equation to solve for c:

$124 + c = 180\\\\c = 56$

3 0

3 years ago

How many hundred thousands, ten thousands, and thousands are in 801,163

Advocard [28]

8 hundred thousands and 1 thousand.

5 0

3 years ago