Select the inequality that represents the relationship described below.
The sum of three times a number and seven is greater than four times the number.
O A.
3 + 7 x > 4x
OB.
3x + 7 > 4x
O C.
3-7x> 4x
OD.
3x-7> 4x Thing​

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:

5+ 3x

Step-by-step explanation:

Answer:

Step-by-step explanation:

13. 2,300mg > 2g

14. 3kg = 3,000g

16. 4120mg = 4.12g

17. 75g < 800mg

Answer:

Because all consecutive angles in a parallelogram are supplementary, m∠SVU = 180 - 57 = 123°.

Answer:

Step-by-step explanation:

In a parallelogram, sum of adjacent angles is 180

∠TSV + ∠SVU = 180

57 + ∠SVU = 180

∠SVU = 180 - 57

∠SVU = 123°

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:

$43,625

Step-by-step explanation:

Hello,

The question is a direct application of compound interest and we'll approach this question using the formula of compound interest.

A = P(1 + r/n)^nt

A = compound interest

P = principal

r = rate of the interest

n = number of times compounded

t = time interval for the money to be compounded.

Data;

A = ?

P = $2,500

r = 10% = 0.1

n = 1 (since it's compounded annually)

T = 30 years

A = 2,500 [1 + (0.1 / 1)]^(1 × 30)

A = 2,500 × [1 + 0.1]³⁰

A = 2,500 × 1.1³⁰

A = 2,500 × 17.45

A = $43,625

In 30 years, Jenna would've saved $43,625

Answer:

7. Contrapositive

8. Converse

9. Inverse

Step-by-step explanation:

Contrapositive is the flipping of the pos/neg and the clauses.

- EX: If it rains today, the ground will be wet -> If the ground is not wet, it did not rain today

Converse is the switching of the clauses

- EX: If I just ate mac and cheese, I am happy -> If I am happy, I just ate mac and cheese

Inverse is swapping the positive/negative (not)

- EX: If I am hungry, I want food -> If I am not hungry, I do not want food

Hope this helps!

Answer:

27.7

Step-by-step explanation:

130%=1.3

1.3x=36

x=27.7

Answer:

-1.9 is the one

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given

3(x - 1)² - 162 = 0 ( add 162 to both sides )

3(x - 1)² = 162 ( divide both sides by 3 )

(x - 1)² = 54 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{54}[/tex] = ± 3[tex]\sqrt{6}[/tex] ( add 1 to both sides )

x = 1 ± 3[tex]\sqrt{6}[/tex]

x = 1 - 3[tex]\sqrt{6}[/tex] or x = 1 + 3[tex]\sqrt{6}[/tex]

Answer:

0.999999032256

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

This shape does not show thirds. Although the shape is cut up into 3 shapes, the shapes are not equal. Imaging a cake... would you be happy if your friend got the rectangle, but you got the square. Cutting something into thirds is the same way. They all need to be equal.

Answer:

No, It shows 1/2

Step-by-step explanation:

The small squares would constitute to a total of 4, so it shows 2/4 which is 1/2

Answer:

957.63- 194.7= 763 miles if you need to do the decimals it will be 763.853

Please mark.

Thanks

Jake

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: 50.27

Step-by-step explanation:

Area = pi r^2

= pi x 16

Answer:

50.265 [tex]ft^{2}[/tex]

Step-by-step explanation:

The formula of the area of a circle is [tex]\pi r^{2}[/tex] and the diameter is double the amount as the radius, so the radius would be 4 feet. 4 squared is 16. Multiply that by pi to get your answer, 50.265[tex]ft^{2}[/tex].

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:

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:

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:

this site is trash

Step-by-step explanation:

Answer:

bro there is no picture

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:

The y-intercept is -2

Step-by-step explanation:

Based on the equation y + 2 = 0 (y = -2), you can eliminate all answers except for the second one. This is because, the y is the horizontal line, while the x is the vertical line. The value of x does not always equal the value of y, only sometimes. Finally, the slope of y = -2 is 0, not undefined. However, the slope of x = -2 is undefined.

Answer: False

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 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:

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.