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Zielflug [23.3K]

1 year ago

10

1. Write this math statement as an algebraic expression:

1 answer:

gtnhenbr [62]1 year ago

6 0

Answer:

Step-by-step explanation:

n = some unknown natural number

n/2 = half of that natural number

n-1 = number right before the unknown natural number

2*(n-1) = twice the number before the natural number n

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Solve the system of equations below by graphing.

algol [13]

ANSWER

The correct answer is B

<u>EXPLANATION</u>

The first function is

$x^2-2x+y-3=0$

We make y the subject to obtain;

$y=-x^2+2x+3$

Let us quickly write this in the vertex form.

$y=-(x^2-2x)+3$

$y=-(x^2-2x+(-1)^2)+3+(-1)^2$

$y=-(x-1)^2+4$

Since the $a$ is negative, the graph opens up.

The vertex is at $(1,4)$

The y-intercept is $-3$

The x-intercept is found by equating the function to zero.

$-(x-1)^2+4=0$

$\Rightarrow (x-1)^2=4$

$\Rightarrow (x-1)=\pm 2$

$\Rightarrow x=1 \pm2$

$\Rightarrow x=-1,3$

With these information we can quickly sketch the graph as shown in the attachment(the red graph).

For the second function,

$x^2+y=0$

we again make y the subject to obtain,

$y=-x^2$

This is a basic quadratic function that can be graphed easily. Note that it is also a maximum graph.

From the graph the solution to the two functions is

$(-1.5,-2.25)$

3 0

3 years ago

Francine has a collection of 25 dolls .If 12% of the dolls china dolls,how many of the dolls are not China dolls?Explain

miss Akunina [59]

Answer:

3 are china dolls

Step-by-step explanation:

if you multiple 25 by 4 and since it is 12 percent out of one hundred we can juat divide 12 by to get 3 which is the answer

5 0

3 years ago

Please answer the both questions which is Grindded response and Short response

Lesechka [4]

5: (6x4)-(2x2) = 24-4 = 20 square yards

6: 30m^11 / 6m^4 = 5m^7

4 0

3 years ago

Read 2 more answers

5W + 13 = 34Solve the equation

astra-53 [7]

To answer this question, we have to follow the next steps:

1. Subtract 13 to both sides of the equation:

$5W+13=34\Rightarrow5W+13-13=34-13\Rightarrow5W=21$

2. Divide the resulting equation by 5 to both sides of the equation:

$\frac{5W}{5}=\frac{21}{5}\Rightarrow W=\frac{21}{5}=4.2$

Therefore, the value that solves this equation is W = 21/5 or W = 4.2 (using a decimal expression.)

7 0

1 year ago

Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with

Luda [366]

Answer: <8.01, 5.60>.

Step-by-step explanation:

Vector:

$v= (r\cos\theta,r\sin\theta)$

, where r = magnitude and $\theta$ = angle .

As per given,

$u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)$

$v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)$

Consider

$u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)$

Hence, the correct option is <8.01, 5.60>.

7 0

3 years ago