Solve the following inequality for g. Write your answer in simplest form.
-5-3(5g-4)≥2g+6-10

Answers

Answer 1

Answer:

[tex]g\leq \frac{11}{17}[/tex]

Step-by-step explanation:

[tex]-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}[/tex]

Answer 2

The value of g in the given inequality -5-3(5g-4) ≥ 2g+6-10 is equal to or less than 11/17, g ≤ 11 / 17

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality -5-3(5g-4) ≥ 2g+6-10

Solving for g,

-5-3(5g-4) ≥ 2g+6-10

-5-15g+12 ≥ 2g+6-10

-15g+7 ≥ 2g-4

7 ≥  17g -4

11  ≥ 17g

11 / 17  ≥ g

g ≤ 11 / 17

Hence, the value of g is equal to or less than 11/17, g ≤ 11 / 17

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Related Questions

A person standing close to the edge on top of a 144-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 128 t + 144 models the ball's height about the ground, h ( t ) , in feet, t seconds after it was thrown. What is the maximum height of the ball?

Answers

Answer:

400m

Step-by-step explanation:

Given the quadratic equation that models the height of the ball above the ground as;

h ( t ) = − 16 t^2 + 128 t + 144

t is in seconds

To get the maximum height of the ball, first we must know the time taken by the ball to reach the maximum height.

Note that the ball has a velocity of zero at its maximum height.

v(t) = dh/dt

v(t) = -32t+ 128

at max height, v(t) = 0

0 = -32t + 128

32t = 128

t = 128/32

t = 4secs

To get the maximum height of the ball, you will substitute t = 4 into the modeled function as shown;

h ( t ) = − 16 t^2 + 128 t + 144

h ( 4 ) = − 16 (4)^2 + 128 (4) + 144

h ( 4 ) = − 256 + 512 + 144

h(4) = 400m

Hence the maximum height of the ball is 400m

Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
A. (9, 6)
B. (–1, –5)
C. (1, –8)
D. (3, 2)

Answers

Answer:c

Step-by-step explanation:

For those who are good with equations....(unlike me when it comes to this)

Answers

Answer:

a = 5

Step-by-step explanation:

When the coefficients of the variables are equal with different constants, then you will get an equation which is never true.

For this particular equation, when a on the right side has a coefficient of 5, you will get the equation: 4(a - 2) + a = 5a - 4.

When you distribute the factors in the parenthesis and add the like terms of a together, 4(a - 2) + a will become 5a - 8. This is because 4(a - 2) + a = 4(a) + 4(-2) + a = 4a - 8 + a = 5a - 8.

Now when you simplify 5a - 8 = 5a - 4 by subtracting 5a from both sides, you will get an equation with unlike constants. For instance 1 = 0.

Now:

5a - 8 = 5a - 4

-5a -5a

-8 = -4

This is never true, so therefore, there is no solution.

Answer:

It is 5

Step-by-step explanation:

A circle has a circumference of 452.16 units. what is the radius

Answers

Answer:

Circumference = 2*r*pi

452.16 = 2*r*pi

226.08 = r*pi

226.08 = r*(3.14)

72 = r

The radius is 72

Step-by-step explanation:

Dave wrote the equation
, and Bonnie graphed the function shown below.

Answers

Answer:

dolor sit amet, coisse. Enim neque volutpat ac tincidunt vitae. Leo a diam sollicitudin tempor id eu nisl nunc. A diam maecenas se ut sem viverra.dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut ln tempor id eu nisl nunc. A diam maecenas sed enim ut sem viverra.dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Habitant morbi tristique senectus et netus et

Step-by-step explanation:

dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Habitant morbi tristique senectus et netus et malesuada fames. Pharetra massa massa ultricies mi. Tortor at risus viv et egestas quis ipsum suspendisse. Enim neque volutpat ac tincidunt vitae. Leo a diam sollicitudin tempor id eu nisl nunc. A diam maecenas sed enim ut sem viverra.dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Habitant morbi tristique senectus et netus et malesuada fames. Pharetra massa massa ultricies mi. Tortor at risus viv et egestas quis ipsum suspendisse. Enim neque volutpat ac tincidunt vitae. Leo a diam sollicitudin tempor id eu nisl nunc. A diam maecenas sed enim ut sem viverra.

What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?

Answers

Answer:

The slope is undefined

Step-by-step explanation:

Slope (m) = infinity  (undefined)

θ =  π  = 90°

2

distance (d) = 2

ΔX = 0  

ΔY = 2

13) If a+b+c+d+e=0 and a+c+e=b+d then which of the following is factor of ax^4+bx^3+cx^2+dx+e

x+1
x-1
x^2-1
All the above​

Answers

Answer:

I think its opinion 3 or all the above am not sure

Your cell phone plan costs $34.99 per month plus $0.15 for each text message you send or receive. You have at most $40 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?

Answers

Answer:

33 texts

Step-by-step explanation:

34.99+0.15(t)=40

lets say t is number of texts

subtract 34.99 from both sides

0.15(t)=$5.01

divide 5.01 by .15

33.4

but you cant send .4 of a text

so 33 texts

Ranger's friend, Foster, wanted to challenge him by creating this expression involving two sets of parentheses with fractions:1 3 (9x − 15) + 4(x + 1 2 ) Ranger showed his first two steps below. 1. Distribute 1 3 and 4 through the parentheses: 1 3 (9x) − 1 3 (15) + 4(x) + 4(1 2 ) 2. Find each product: 3x − 5 + 4x + 2 3. Combine like terms: What should Ranger write for step 3?

Answers

Answer:

7x - 3

General Formulas and Concepts:

Order of Operations: BPEMDASProperties

Step-by-step explanation:

Step 1: Define expression

1/3(9x - 15) + 4(x + 1/2)

Step 2: Simplify

Distribute:                              1/3(9x) - 1/3(15) + 4(x) + 4(1/2)Simplify:                                 3x - 5 + 4x + 2Combine like terms:              7x - 3

Answer:

7x - 3

Step-by-step explanation:

On a shopping trip, Kellen spent $3 on a bus ticket, $9 on a book, and $5 for
lunch. He had $18 left after the trip. How much money did he start with?
O A. $32
B. $1
C. $26
D. $35

Answers

D. 35!

Step by step:
3+9+5+18= 35!
It is D add all the numbers together

Help will mark Brainliest

Answers

Answer:

Step-by-step explanation:

x = (20 + 12)/2

x = 32/2

x = 16

Answer:

17

Step-by-step explanation:

Find the measures of the missing angles

Answers

Answer:

Step-by-step explanation:

∠1 = 180° - 88° = 92°

∠5 = 81° (alternate interior angles)

∠4 = 180° - ( 81° + 64° ) = 35°

∠3 = 180° - ( 81° + 35° ) = 64°

∠2 = 88° - 64° = 24°

Answer:

1. 92°

2. 24°

3. 64°

4. 35°

5. 81°

Step-by-step explanation:

1.

180 - 88 = 92°

5.

81° and ∠5 are alternate angles because there are two parallel lines. This means that ∠5 would be 88° as well (alternate angles are equal)

4.

Sum of angles in a triangle = 180°

∠4 + 88 + 64 = 180

∠4 = 35°

3.

Linear pair = 180°

∠3 + 81 + 35 = 180

∠3 = 180 - 81 - 35

∠3 = 64°

2.

Sum of angles in a triangle = 180°

∠2 + 92 + 64 = 180°

∠2 = 24°

What is an equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=14

Answers

Answer: y=-5/2x-8

Step-by-step explanation:

The equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=1 is

y = (-5/2)x - 8

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We have,

An equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=14.

The equation of a line can be written as:

y = mx + c _____(1)

The line 5x + 2y = 14 can be written in the form y = mx + c.

5x + 2y = 14

2y = -5x + 14

y = -5/2x + 7

m = -5/2 ____(2)

The equation of the line passes through the point (-2, -3) so,

From (1) and (2) we get,

y = mx + c

-3 = -5/2 x -2 + c

-3 = 5 + c

c = -3 - 5

c = -8 ____(3)

Now,

From (1) , (2), and (3) we get,

The equation of the line is

y = (-5/2)x - 8

Thus,

The equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=1 is

y = (-5/2)x - 8

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Sara measures and finds that she can do a vertical jump that is 27% of her height. If she is 63 inches tall, how high (in inches), can she jump

Answers

Answer:

sara can jump 17.01 inches high

Step-by-step explanation:

0.27×63=17.01

i need help by 5 divided by 7/10

Answers

Answer: 50/7_____________________________________Reduce the expression, if possible, by cancelling the common factors.Exact Form:50/7Decimal Form:7.¯¯¯¯¯¯¯¯¯¯¯¯142857Mixed Number Form/Simplified:7 1/7___________________________________________________

Hope this helps!

Also can I please have Brainliest?

Only if I'm right of course...

find the measuremeant of the angle indicated??

Answers

Answer:

140°

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, thus

∠ K = ∠ M = 140°

PLEASE HELP, WILL GIVE BRAINLIEST

Explain the process you would use to determine what form a solution to a system of inequalities should take. What are some tips and tricks?

Answers

Answer:

Solving a system of inequalities is almost like solving a system of equations. Pretend that the inequality signs are equal signs for a moment. Then, solve the system for the two unknown variables just like how you would solve for in a system of equations.

But, there's a catch. If you divide both sides of the inequality by a negative number, you have to flip the inequality sign. For example, if you are trying to solve the inequality -x > 4 you would have to divide both sides of the equation by -1. We would get x < -4 (see how I switched the inequality sign from > to <).

Once you find the values of x and y (they will be an inequality), graph the solutions.

complete the missing value in the solution to the equation.

Answers

Y= 5

5(8) - 2(5)

40 - 10 = 30

-2(m + 2) - 12 = -8 help

Answers

Answer:

m = -4

Step-by-step explanation:

-2m-4-12 = -8

-2m = -8+4+12

-2m = 8

m = -8/2

m = -4

Answer:

m=12

Step-by-step explanation:

Substitute 12 for m.

Simplify 7 +(-3). (1 point)

Answers

Answer:

4

Step-by-step explanation:

7-3=4

Answer:

7-3=4

Step-by-step explanation:

Im not quite sure if this is what you were asking for but here

!PLEASE ANSWER FAST! !30 POINTS!
------------------------------------------------------------------------------------------------------------------
In the 1960s, the average price for an ear of corn was 4.17 cents. In the 1980s, the average price went up to 9.83 cents. How much did the average price go up?
4.97 cents
5.66 cents
7 cents
14 cents
------------------------------------------------------------------------------------------------------------------
I'm pretty dumb so I don't know the answer to this :b
so please answer this :(

Answers

Answer:

5.66

Step-by-step explanation:

Answer:

im pretty sure you just subtract 4.17 from 9.63 LOL so 5.66 HAHA

Step-by-step explanation:

if two thirds of a number is 56, what is three-quarters of that number?

Answers

Answer:

84

Step-by-step explanation:

56/2 = 28

28 x 3 = 84

To check work: 84/3 =28

Tickets for the school play cost $7 each. Each member of the cast gets 1 free ticket for a family member. For the run of the play, 210 tickets are collected, including all the free tickets, and the box office makes $1,358 from ticket sales. The equation that models this situation is7(210 – c) = 1,358 where c is the number of cast members. How many cast members are in the play?

Answers

Answer:

there are 16 cast members.

Step-by-step explanation:

7(210-c)=1358 multiply everything in the parentheses by 7

1470-cx=1358

-7c=-112 subtract 1470 from both sides

c=16 divide -112 by -7

c=16


5.
Solve
3/5x + 1/3 <4/5x+-1/3

Answers

Answer:

Inequality form: x>10/3

Interval Notation: (10/3, infinity)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x > 10/3

Step-by-step explanation:

What is the equation of a line, in general form, that passes through the point (1, -2) and has a slope of 1/3.

Answers

Y=1/3x+c as 1/3 is the gradient/slope
Plug in the coordinates into the equation
-2= 1/3*(1) +c
C=-2-1/3
C=-7/3
Y= 1/3x-7/3

Answer:

weed

Step-by-step explanation:

cause yes, cause I said so :)

13) Find the value for x and y.
Someone help me please thanks

Answers

Answer:

x=14 y=37

Step-by-step explanation:

8x + 7(2-3x) = -6(2x + 5)

Answers

Answer:

x = 44

Step-by-step explanation:

8x + 7(2-3x) = -6(2x + 5)

8x + 14 -21x = -12x - 30

-13x + 14 = -12x - 30

-x + 14 = -30

-x = -44

x = 44

what is -12x-17=-125

Answers

Answer:

X = 9

Step-by-step explanation:

The rule R x-axis ∘ T⟨–5, 3⟩ is applied to the point (–3, –2). Where is the image in the coordinate system?

Answers

Given:

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.

The point is (-3,-2).

To find:

The image of given point after the transformation.

Solution:

Consider the given point be P(-3,-2).

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.

If a figure translated by T⟨–5, 3⟩, then

[tex](x,y)\to (x-5,y+3)[/tex]

[tex]P(-3,-2)\to P'(-3-5,-2+3)[/tex]

[tex]P(-3,-2)\to P'(-8,1)[/tex]

If a figure reflected by R x-axis, then

[tex](x,y)\to (x,-y)[/tex]

[tex]P'(-8,1)\to P''(-8,-1)[/tex]

Therefore, the image of given point after transformation is (-8,-1).

Solve the following equation (image attached).

Answers

Answer:

Step-by-step explanation:

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