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3 years ago

HELP ITA A TEST ON quizizz HELP ME PLZ FOR IO POINTS HELP ME NOW NOW NPW

Mathematics

2 answers:

Flura [38]3 years ago

5 0

Sry but I hope when Christmas comes u will have a great one

ioda3 years ago

3 0

Answer:

Step-by-step explanation:

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DochEvi [55]

Answer:

$g(x) = x^{2} + 6\cdot x + 7$

Step-by-step explanation:

The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:

$y - k = C\cdot (x-h)^{2}$

Where:

$h$ , $k$ - Horizontal and vertical components of the vertex with respect to origin, dimensionless.

$C$ - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).

Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:

$C = 1$

After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:

$V(x,y) = (-3,-2)$

The standard form of the blue parabola is $y+2 = (x+3)^{2}$ . Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):

$y + 2 = x^{2} +6\cdot x + 9$

$y = x^{2} + 6\cdot x + 7$

Then, the blue parabola is represented by the following equations:

$g(x) = x^{2} + 6\cdot x + 7$

8 0

4 years ago

A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

8 0

4 years ago

A. Factor the polynomial: x^5-4x^3+8x^2-32<br> b. Solve by factoring: 2x^2-3x+1=0

lawyer [7]

Answer:

a. (x^3+8)(x^2-4)

b. x=1 and x=1/2

Step-by-step explanation:

a. (x^3+8)(x^2-4) = x^5-4x^3+8x^2-32 [foil method: first,outside,inside,last]

b. use quadratic formula: -b +/- square root b^2-4ac / 2a

2=a; -3=b; 1=c

-(-3) + square root (-3)^2 - 4(2)(1) / 2(2)

3 + 1 / 4 = 4/4 = 1

3 - 1/4 = 2/4 = 1/2

7 0

3 years ago

A healthy human heart beats about 1,533,000 times a year. A sparrow's heart beats about 241,776,000 times in a year. About how m

Galina-37 [17]

Answer:

About 158 times

Step-by-step explanation:

Represent the rate of human heart with H and sparrow's heart with S

$H = 1,533,000\ times$

$S = 241,776,000\ times$

Required

Determine how many times faster is S than H

To do this, we simply divide S by H i.e.

$Number = \frac{S}{H}$

$Number = \frac{241,776,000}{1,533,000}$

$Number = 157.714285714$

$Number = 158$ --- approximated

<em>Hence, the sparrow's heart beats about 158 times faster than the human hearts</em>

5 0

3 years ago

Roy is in a hot air balloon that has just taken off and is floating above its launching point.

leonid [27]

Answer:

7.1 meters

Step-by-step explanation:

Use the pythagorean theory:

10 would be the hypotenuse

7 would be one of the legs

and x (or whatever variable you'd like) would be the other leg.

7^2+x^2=10^2

49+x^2=100

subtract 49 from both sides

x^2=51

take the square root on both sides

x is approximately 7.1

6 0

3 years ago