Questlon 3 OT TU
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = * x2 +12?
A. The graph of f(x) is vertically compressed by a factor of 5 and
shifted 12 units to the left.
B. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 12 units up.
C. The graph of AX) is vertically compressed by a factor of 5 and
shifted 12 units up.
D. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 12 units to the left.
SUBMIT

Using concepts of quadratic equation, we have that:

a) The age of unmarried women with the highest birth rate 29 years.

b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

The birth-rate for women of age a is given by:

[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]

Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]

Item a:

The age with the highest value is the a-value for the vertex, which is:

[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]

The age of unmarried women with the highest birth rate 29 years.

Item b:

The rate is B(29), which is:

[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]

The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

Item c:

[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]

B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

A similar problem is given at https://brainly.com/question/24626341

Answer:

Step-by-step explanation:

9 a)

b)

c)

10 a)

b)

c)

Answer:

Add all the numbers in the data set together, then divide by the number of items in the data set. The result is the median value.

So:

70+61+50+48+45+43+40+39+35+32=x

x÷10=?

Answer:

66 (lmk if i'm wrong)

Step-by-step explanation:

9x6 + (16-4)

54 +12

66

Answer:

3 1/2

Step-by-step explanation:

3/7 = 0.429

1/2 = 0.5

Hopefully this helps!

Brainliest please?

Answer:

Yes, because momentum is conserved in all inelastic collisions which all car accidents are

Step-by-step explanation:

What is law of conservation of momentum?

It states that In a equilibrium the initial momentum is equal to to the final momentum of the body

Or

[tex]\\ \sf\longmapsto \Delta P=P[/tex]

Answer:

• Yes, because momentum is conserved in all collisions.

Step-by-step explanation:

→ Elastic collision, inelastic collision and perfectly inelastic collision, linear momentum is conserved assuming no external forces acting on the system.

In elastic collision

[tex] \dashrightarrow \: { \tt{m _{1}u _{1} + m _{2} u_{2} = m_{1}v_{1} + m_{2}v_{2}}} \\ [/tex]

In inelastic collision

[tex] \dashrightarrow \: { \tt{m_{1}u_{1} + m_{2}u_{2} = (m_{1} + m_{2})v}}[/tex]

The cities Alex could have drove between whose distance is about 2000 miles when rounded to the nearest thousand are : Chicago to San Francisco and Atlanta to Los Angeles

From the table attached which shows the distance in miles between two cities in the United States :

Only the distances between these two cities would give a value of 2000 miles when rounded to the nearest thousand mile

The other distances in the table will round to 1000 miles when rounded to the nearest thousand mile.

Learn more :https://brainly.com/question/18109354

Answer:

24 kg

Step-by-step explanation:

21 kg every 7 hr

21kg/7hr = 3kg/hr

This means he prepares 3 kg of dough every hour.

After working 8 hours, he would have prepared (3kg)(8) = 24kg of dough

9514 1404 393

Answer:

  4a +4

Step-by-step explanation:

The average rate of change of f(x) on the interval is ...

  (f(a) -f(1))/(a -1)

  = ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)

  = 4(a² -1)/(a -1) = 4(a +1) = 4a +4

The average rate of change on the interval is 4a +4.

Answer:

19

Step-by-step explanation:

Alr so.

what you have to do is first convert yourpercentage into a decimal and to do that you need to move the decimal 2 places to the left like so-

61.3% --->  .613

Next you need to multiply 31 x .613 which gives you 19.003

or 19 Passed :)

enjoy!!!!

Answer:

The slope is 1/4

Step-by-step explanation:

y2-y1 6-3 3 1

m= —— = —— = —— = ——

x2-x1 5+7 12 4

Answer:

3rd Option

Step-by-step explanation:

2.7 × 10⁵ > 2.4 × 10⁴ > 3.1 × 10³

Answer:

99000 millimeters kdknwjdhdiqkwpshd

Answer:

from your DVR to record the points you like

Step-by-step explanation:

because I only want the points

khan acdemy vdieo on Compound inequalities:

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/v/compund-inequalities

If it takes 1 pizza to feed 3 people and you invite 36 people, you can divide 36 by 3 to get the answer -

36/3 = 12

You will need 12 pizzas.

Answer: 15 cm

Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.

Answer:

The slope is zero

Step-by-step explanation:

y = -4 is a horizontal line

Horizontal lines have a slope of zero

Hello there! The line y=-4 is a horizontal line and the slope of horizontal lines is 0.

Why? Because we calculate the slope using the formula Rise/Run. The rise is 0 (how many units we go up) so no matter what the run is, if we divide 0 by any number, we will get 0 100%.

Hope this helps you!

~Just a joyful teen

[tex]SilentNature :)[/tex]

Answer:

9.00 and 2.00

Step-by-step explanation:

8.90 rounds to  9.00 because 8.90 is more than more then 0.50 so it makes the cents round to the nearest cent. 2.45 round to 2.00 because 2.45 is less than 0.50

Answer:

(13,-6)

Step-by-step explanation:

If you are at (-3,5) and you translate T to give you (6,-8), that means you translated (9,-13) because you moved right 9 units in the positive x direction and down 13 units in the negative y direction.

Apply this translation T to (4,7) and you get (13,-6).

Answer:

(13,  -6)

Step-by-step explanation:

Firstly, we need to find the translation. This can be achieved by calculating the amount the x and y coordinate shifts. Simply use the following equation:

[tex](x2 - x1, y2 - y1)[/tex]

Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second. Plug the variables in:

[tex](6 - (-3), -8 - 5)\\(9, -13)[/tex]

So the x coordinate is shifted 9 positively and the y coordinate is shifted 13 negatively.

To calculate the new translation of the new point, add the translation onto the given coordinates:

[tex]( 4 + 9, 7 + (-13) )\\(13, -6)[/tex]

So the new point is (13,  -6).

Hope this helps!

Answer:

Step-by-step explanation:

Step 1:

Sum of fractions in the denominator making cross product:

d / r1 + d / r2

Resulting:

d * r2 + d * r1 / (r1 * r2)

Step 2:

Multiply numerator and denominator by the following expression:

(r1 * r2) / (d * r2 + d * r1)

Step 3:

Take common factor in the denominator of the expression in step 2.

Resulting:

(d * r2 + d * r1) = d * (r2 + r1)

Answer:

5.

Step-by-step explanation:

how?

Divide 2.95 by 0.59 that would equal 5.

Answer:

Y-intercept=(0, 2)

X-intercepts=(-4,0) & (-2,0)

Step-by-step explanation:

X and y- intercepts are determined when they pass through either the x or y axis. If the line passes through the x axis it is the x-intercept and vice versa for y.

Hope this helped.

Answer:

A slope of the line over the interval of [-6, -1] is ⅕ as illustrated in the graph above

The average speed of the runner is 12.7 mph and 20.4 km/h

Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from  hours and minutes into minutes and finally hours, since hours is what we need. So, we have

2hr = 120mins

+ 4 mins = 124 mins

124 mins ÷ 60 hour/mins = 2.06 hours.

This means that the runner finished the race in 2.06 hours.

If we are to find the average speed in mile per hour, we have

Average speed = distance ran ÷ time taken

Average speed = 26.2 ÷ 2.06

Average speed = 12.7 mph

From the speed in mph, we can directly convert it to km/hr by saying

1 mph = 1.609 km/h

12.7 mph = 12.7 * 1.609 = 20.4 km/hr

for more, check: https://brainly.com/question/1989219

Answer:

(23•32t5x)

Step-by-step explanation:

STEP1:

Equation at the end of step1:

(((2t)3) • x) • 32t2

STEP2:

Equation at the end of step2:

(23t3 • x) • 32t2

STEP3:

Multiplying exponential expressions :

 3.1    t3 multiplied by t2 = t(3 + 2) = t5

Final result :

(23•32t5x)

Answer:

How long should it take to finish a 25-question test? If you give students an average of 30 seconds to one minute to answer the questions, then the average time to finish a test of this size would be around 15-30 minutes. Of course, some questions would take more time and some less.

Step-by-step explanation:

Answer: n = 2 ....... (2, -4)

Step-by-step explanation:

To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.

To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2

With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)

Let's use (-4,8) point and plug it into our linear equation: y = -2x+b

to get 8=(-2)(-4) +b

8=8+b

0=b (which means our y-intercept is 0)

Now, our official linear equation is y=-2x

The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:

-4=-2x

-4/-2=x

2 = x

And there we go :) I hope this helps!

Answer:

The value of n =  2.

Step-by-step explanation:

Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:

It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:

In order to solve for the slope of the line, use the following slope formula:

[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

Let (x₁, y₁) = (-2, 4)

     (x₂, y₂) = (-4, 8)

Substitute these values into the slope formula.

[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}[/tex]

Hence, the slope of the line is: m = -2.

Next, we must solve for the y-intercept.  Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.  

Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:

y = mx + b

4 = -2(-2) + b

4 = 4 + b

Subtract 4 from both sides:

4 - 4 = 4 - 4 + b

0  = b

The y-intercept is: b = 0.

Therefore, the equation of the line in slope-intercept form is:

y = -2x + 0 or y = -2x.

In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:

Set y = -4:

y = -2x

-4 = -2x

Divide both sides by -2 to solve for x:

[tex]\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}[/tex]

x = 2

Therefore, the value of n = 2.

Answer: you do not need a variable when multiplying fractions and mixed numbers

Step-by-step explanation:

answer:

1) 271

2) 151

3) 169

4) 62

5) 90