f(x) =x² + 5x- 1 is shifted 3 units right. The result is g(x). What is (gx)?​

Answer:

[tex] 4.0011 \times {10}^{8} [/tex]

Step-by-step explanation:

[tex]1.1 \times {10}^{5} + 4 \times {10}^{8} \\ \\ = 1.1 \times {10}^{5} + 4000 \times {10}^{5} \\ \\ =4001.1 \times {10}^{5} \\ \\ = 4.0011 \times {10}^{8} [/tex]

First factor 2 from the quadratic:

[tex]2x^2+12x-14=2(x^2+6x-7)[/tex]

Now complete the square:

[tex]x^2+6x-7=x^2+6x+9-16=(x+3)^2-16[/tex]

So we have

[tex]2x^2+12x-14=0\implies2(x+3)^2-32=0[/tex]

[tex]\implies2(x+3)^2=32[/tex]

Solve for x:

[tex](x+3)^2=\dfrac{32}2=16[/tex]

[tex]x+3=\pm\sqrt{16}=\pm4[/tex]

[tex]\implies x=-3+4=1\text{ OR }x=-3-4=-7[/tex]

and so the third option is correct.

Answer:

45˚

Step-by-step explanation:

the 3,4,5 triangle is the basic right triangle. The 3 and for angle worth is 45˚ and the 5 is the 90˚

Answer:

c = 500,000

This is 6 digit number with 5 zero's.

We just multiply the radius ^2 by pi

D = 800m  R = 400

R^2 = 400 x 400 = 160000

A = 160000π = 502654.824574

We estimate from 160000 and just count the 0's on multiplication as long as the 10's don't change in that estimation.

we can show the workings as the counting loops under the 6 and 0's of 160000. = 5 units+ 1.

= 500,000 m^2

    1 [- - - - -} = 500000

Answer:

27 x^21

Step-by-step explanation:

(3x^7)^3

We know that (ab)^c = a^c b^c

3^3  x^7^3

27 x^7^3

We know that a^b^c = a^(b*c)

27 x^(7*3)

27 x^21

Answer:

The length of the box is 10 feet.

Step-by-step explanation:

You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10

Answer:

Step-by-step explanation:

13. 2,300mg > 2g

14. 3kg = 3,000g

16. 4120mg = 4.12g

17. 75g < 800mg

Answer:

D: 1/2

Step-by-step explanation:

3/6 is .5 which means each can is .50 cents

Answer:

Option D is correct answer AD and CD are congruent

Step-by-step explanation:

because BD is bisector of AC

so AD = CD

Answer:

Yes option D

Step-by-step explanation:

If you measure AD and DC they will be the same length

Answer:

this site is trash

Step-by-step explanation:

Answer:

bro there is no picture

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

5-4=1 and assuming that by (1) you or your teacher means times 1 so 1 times 1 is one

Answer: False

Step-by-step explanation:

Answer:

The governor of state A earns ​$ 166,165, and the governor of state B earns ​$ 116,555

Step-by-step explanation:

the governor of state A  salary = x+ 49610

the governor of state B salary = x

together : 282720 = x+49610 +x

282720 = 2x + 49610  subtract 49610 from both sides

282720-49610 = 2x

233110 = 2x divide by 2

x = 116555

plug in x in the governor of state A  salary = x+ 49610 = 116555 + 49610 = 166,165

Answer:

Discount.

Explanation:

I took the test.

Please Vote Me Brainliest. Thank You.

Answer:

65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

We know it is less than a right angle or 90 degrees It is bigger than 1/2 of a right angle or bigger than 45 degrees

The best estimate is 65 degrees

Answer:

5+ 3x

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

Since d=√[7-3]2+[8-8]2

Answer:

D

Step-by-step explanation:

Answer:

The difference between area of pyramids is 125 sq.m.

Step-by-step explanation:

Length of base = 10m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = [tex]\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10[/tex]

Area of pyramid = 400 sq.m.

Now the length of base is increased to 15

Length of base = 15m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid =[tex]\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10[/tex]

Area of new pyramid = 525 sq.m.

Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.

Hence The difference between area of pyramids is 125 sq.m.

Answer:

0.999999032256

Step-by-step explanation:

Answer: 1 -2ax²+2x-ax

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle: length x width

Replacing with the values given:

A = (2x+1) (1-ax)

A = [2x(1)] + [2x(-ax)] +[ 1(1)]+ [1 (-ax)]

A = 2x- 2ax² +1- ax

A = 1 -2ax²+2x-ax

In conclusion, the correct option is 1 -2ax²+2x-ax

Feel free to ask for more if needed or if you did not understand something.  

Answer:

D  21

Step-by-step explanation: x/7 = 3

isolate x by multiplyig both sides by 7:   (7)(x/7) = (3)(7)

x = 21

Answer:

The total surface area is 145.12 sq.m.

Step-by-step explanation:

We are supposed to find the surface area of given figure

Length of rectangular part = 15 m

Breadth of rectangular part = 8 m

Area of rectangular part =[tex]Length \times Breadth = 15 \times 8 = 120 sq.m.[/tex]

Diameter of semi circle = 8 m

Radius of semicircle = [tex]\frac{8}{2}=4 m[/tex]

Area of semicircle = [tex]\frac{\pi r^2 }{2}=\frac{3.14 \times 4^2}{2}=25.12 sq.m.[/tex]

Total surface area = 120+25.12=145.12 sq.m.

Hence The total surface area is 145.12 sq.m.

Answer:

Step-by-step explanation:

the slope is the hourly rate, the y int is the deposit of 15$

thus,

to find the slope, we can use the equation:

57=m*2+15

42=2m

m=42/2

m=21

thus, the whole equation is:

y=21x+15, where 21 is the hourly rate and the slope, 15 is the non-refundable deposit, and y is the total amount payed

Answer:

a d and e

Step-by-step explanation:

none

Answer:

answers are a,d,e

Step-by-step explanation:

8=5+3

12x5=60

12+5=17

Answer:

.

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

there you go

First vertex A to be translate to vertex X and than rotate ΔABC to align the sides and angles.

How can AABC be mapped to AXYZ?

Similar triangles, are those triangles which have similar properties ,i.e. angles and proportionality of sides.

To obtain the mapping of triangle to relative similar triangle.
we have to make it congruent triangle first. by rotating or translating.

For given conditions First vertex A to be translate to vertex X and than rotate ΔABC to align the sides and angles.

Thus the condition now fulfilled.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ2

Answer:

The more experiments that are done, the more the theoretical trend is marked

Step-by-step explanation:

The first thing is to define each probability,

-Theoretical probability is a proportion that expresses the ways to be successful in the total events of an experiment.

-Experimental probability is the proportion of the proposed result for the number of experimental attempts.

Based on this, the reason that best supports this is that the more the experiment is repeated, the closer the experimental probability gets to the theoretical one, since as the number of attempts increases, it tends to go more to what theoretically is what would happen.