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2 years ago

Solve the following systems of equations. y = -x2+2x+1 y = 2x+1

Mathematics

1 answer:

boyakko [2]2 years ago

7 0

Answer:

I think it's (0,1) x=0, y=1

Sorry if that's wrong

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9. 2 1/8 + 1 5/12

MrMuchimi

Answer:

9) Exact Form: 85 /24 Decimal Form: 3.541 6 Mixed Number Form: 3 13 /24

10) Exact Form: 17 /18 Decimal Form: 0.9 4

11) Exact Form: 3 /5 Decimal Form: 0.6

Step-by-step explanation:

9) Convert the mixed numbers to improper fractions, then find the LCD and combine.

10) Simplify the expression.

11) To subtract fractions, find the LCD and then combine.

4 0

2 years ago

A shipping container will be used to transport several 140-kilogram crates across the

velikii [3]

Answer:

91.42 crates

Step-by-step explanation:

Let

Greatest Number of 140kg crates = x

weight of crate = 140-kilogram

Weight of other shipment = 13200 kilograms

greatest weight of container = 26000 kilograms

Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container

13,200 + 140x ≤ 26,000

140x ≤ 26,000 - 13,200

140x ≤ 12,800

x ≤ 12,800/140

x ≤ 91.42 kilograms

Greatest Number of 140kg crates = 91.42 crates

8 0

3 years ago

How to prove that square root of x where x is rational is rational?

Verdich [7]

In general, you cannot prove that because it is not true.

2 is rational. √2 is not.

5 0

3 years ago

A statue that is 80 m tall stands on a 625 m2 base. An artist creates a replica using a ratio of 1:15. What is the area of the r

Sholpan [36]

Answer: $2.78m^{2}$

Step-by-step explanation:

given data:

height of the statue = 80m.

base of the statue = $625m^{2}$ .

scale of the statue replica = 1:15.

<u><em>solution:</em></u>

$= 1:15^{2} \\\\\= 1:225\\\\$

$= \frac{625m^{2} }{225}$

= $2.78m^{2}$

the area of the replica is $2.78m^{2}$

4 0

2 years ago

Consider the function.

Licemer1 [7]

Answer:

Option 4

Step-by-step explanation:

Given function is,

$f(x)=2\frac{1}{2}-3\frac{1}{3}x$

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

$y=2\frac{1}{2}-3\frac{1}{3}x$

Step 2,

Interchange the variables 'x' and 'y',

$x=2\frac{1}{2}-3\frac{1}{3}y$

Step 3,

Solve the equation for the value of y,

$x-2\frac{1}{2}=-3\frac{1}{3}y$

$x-\frac{5}{2}=-\frac{10}{3}y$

$-x+\frac{5}{2}=\frac{10}{3}y$

$-3x+\frac{15}{2}=10y$

$-\frac{3}{10}x+\frac{15}{20}=y$

$y=-\frac{3}{10}x+\frac{3}{4}$

Step 4,

Convert the equation into inverse function,

$f^{-1}x=-\frac{3}{10}x+\frac{3}{4}$

For x-intercepts,

Substitute y = 0,

$0=-\frac{3}{10}x+\frac{3}{4}$

$\frac{3}{10}x=\frac{3}{4}$

$x=\frac{10}{4}$

$x=\frac{5}{2}$

$x=2\frac{1}{2}$

Therefore, x-intercept of the inverse function is $(2\frac{1}{2},0)$ .

Option 4 will be the answer.

8 0

2 years ago