3x + 5 > 16
x is an integer.

Find the smallest value of x.

Answers

Answer 1

Answer:

4

Step-by-step explanation:

3x + 5 > 16

3x > 16 - 5

3x > 11

x > 11 / 3

x > 3.6666...

The smallest value would be 4.

Answer 2

Answer:

4

Step-by-step explanation:

Given

3x + 5 > 16 ( subtract 5 from both sides )

3x > 11 ( divide both sides by 3 )

x > [tex]\frac{11}{3}[/tex] , that is

x > 3 [tex]\frac{2}{3}[/tex]

If x is an integer then the smallest value of x is 4


Related Questions

How many roots does y=3x^2+8 have?

Answers

Answer:

This quadratic has two unequal, imaginary roots.

Step-by-step explanation:

y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots.  In this case they happen to be different (unequal), as well as imaginary.

Setting y = 3x^2 + 8 = 0, we get:

3x^2 = -8, or

x^2 = -8/3

Taking the square root of both sides, we get

x = ±i√(8/3) (2 imaginary roots)

Which would be the first step for solving the equation x + 2 = 18?
A. add - 2 to both sides of the equation
B. add 18 to both sides of the equation
c.
divide both sides of the equation by
7
16
D
multiply both sides of the equation by
7

Answers

The first step for solving this equation would be adding -2 to both sides of the equation.

Answer:

A. Add -2 to both sides

Step-by-step explanation:

The reason you need to add -2 to both sides is because if you add -2 to -2 it cancels out and you are left with x=18. But you need to add -2 to 18 too because them the equation won't be equal anymore.

What the slope? Can someone help me

Answers

Answer:The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

I know this one is hard but its hard for me. PLEASE HELPP

Answers

Answer:

G. <3 and <5 hope this helps

Answer:

G

Step-by-step explanation:

differentiate x+sinx/x+cosx with respect to x​

Answers

Step-by-step explanation:

content://com.cryptotab.android.FileProvider/images/screenshot/1615820475640483392397139554304.jp

Find an overestimate for 33 x 67 by adjusting each factor up to the next ten.

Answers

Answer:

210 is my estimate

Step-by-step explanation:

Increase 33 to 40
Increase 67 to 70
Then 40x70 = 280

It 16x = (141)²-(109)², then
the value of x is.
(a). 150
(b). 500
(c). 600
(d). 32​

Answers

Answer:

b) 500

16x = (141)^2 - (109)^2

or, 16x = 19881 - 11881

or, x = 8000/16=500

Find the measure of Arc XY.


Answers

Answer:

arc XY = 46°

Step-by-step explanation:

the arc of an inscribed angle is equal to 2 x the inscribed angle

m<XZY=1/2m XY

mXY

2m<XZY2(23)46°

PLEASE HELP ME WITH ALGEBRA! THANK YOU

Answers

Answer:

She will do 61 sit ups.

Step-by-step explanation:

The number of situps are increasing by 4 each day.

So at this rate...

Day 6: 37

Day 7: 41

Day 8: 45

Day 9: 49

Day 10: 53

Day 11: 57

Day 12: 61

wouldn’t it be 61 sit ups on day 12.

Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?

Answers

Answer:

6-12.

Step-by-step explanation:

Between 6 to 12 two numbers must the third side of the card fall.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that Sarah is creating a triangular birthday card for her teacher.

Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.

It should be known that two of the sides measure 4 inches and 9 inches.

Therefore, in between 6 to 12 the third number must be lie.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

What is the height of a cylinder with a volume of 384x cubic inches and a radius of 8 inches? Round to the nearest tenth of an inch. inches ​

Answers

Answer: what's the x after 384?

Step-by-step explanation:

David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
will give brainliest!

Answers

Convert minutes to hours there are 60 minutes in one hour. 75/60=1.25 hours. Then divide miles by hours so 3.5/1.25=2.8 miles an hour

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3х-5=2x+ 10?

Ox= 5

О-5а Х

O-15 = -5x

O-5х = 15

Answers

D is the answer to the question


Write an expression for the area and perimeter for the figure shown.
I WILL GIVE THE BRAINLIEST IF YOU CAN ANSWER THIS

Answers

Perimeter= 2(2x+2)+2(2x-1)
Area=(x-1)*(x-1)+(2x-1)*(x+3)

Hope it helps

will give brainliest! number 4 it’s the pythagorean theorem

Answers

Ok so Here is the answer

You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?

Answers

Answer: $117,000

Step-by-step explanation:

The maximum that Arianna may borrow is 2.5 times her annual income.

First step therefore, would be to calculate her annual income:

= 900 * 52 weeks

= $46,800

She may borrow 2.5 times this:

= 46,800 * 2.5

= $117,000

Brainly reward!!!!

What's the area of the gray shape?

Answers

Answer: 14.465 (round if necessary)

Steps:
Area of a triangle: (0.5)(b)(h)
(0.5)(6)(6)
(0.5)(36) = 18

Area of a half circle: (2πr²)0.5
(2*π*1.5²)0.5
(7.07)0.5
= 3.535

18 - 3.535 = 14.465

A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicine. How much mg of the medicine will be in James' bloodstream at the start of day 6?

a
61.25mg
b
80.94mg
c
115.08mg
d
132.12mg

Answers

James will need 115.08mg of medicine at the start of day 6.

I hate how i have to write things here

Answers

Answer: Question 1 is m=-7/4

Question 2 is -4 as the y axis where it intercepts and the other coordinate is (3,-2)

Step-by-step explanation:

Q. Which equation describes the line that passes
through the point at (-2, 1) and is perpendicular
to the line y = 1/3x + 5?

Answers

Answer:

Step-by-step explanation:

perp. -3

y - 1 = -3(x + 2)

y - 1 = -3x - 6

y = -3x - 5

x = -0.25 and y = -6
Solve the expression: xy

Answers

Answer:

If x = -0.25 and y = -6 then we have -6(-0.25) = 1.5

Hope this helps!


Need help :::::::::::::::::

Answers

Answer:

2/3

Step-by-step explanation:

First, we read the two points with circles off the graph.

They are (-4, -5) and (5, 1).

slope = (y2 - y1)/(x2 - x1) = (-5 - 1)/(-4 - 5) = -6/(-9) = 2/3

Answer: 2/3

Someone help, I don't understand what trig ratio to use, or how to get the answer to w or x

Answers

Answer:

Uhm I think you need to like times the 10 to the 56? erm yeaaaaaaa SOrry if you get it wrong

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

56*10= 560

34+56= 90

90*10= 900

X is about 2 times the size of W so it would be

1:2 (W:X)

I think i am right, i may be wrong i haven't exactly learned this yet, i am just going off by what i know. sorry if i am wrong

The ratio of dogs to cats at a pet store is 11: 4. If there are 90 total pets (dogs and cats), how many cats are there?​

Answers

Answer:

number of cats

[tex]90 \times \frac{4}{15} \\ 24cats[/tex]

19+23=2X-2

Someone help me pleaseeeeeeeeeeeeee

Answers

Answer:

x = 22

Step-by-step explanation:

19+23=2X-2

42 = 2x - 2

-2x = -2 - 42

-2x = -44

x = 22

hope this helps

Triangle congruence and similarity. PICTURE INCLUDED* SAS, SSS, ASA, or AAS

Answers

Answer:

Yes. SSS

Step-by-step explanation:

The dilation factor is to multiply by 3, from the smaller to larger triangle. This proves they are similar.

AA is not an accurate postulate.

Please help me complete it PLEASE ASAP!!!!!!!!!

Answers

1= 12.5
2= 25
3= 37.5
4=50
5= 62.5

Find f(-) if f(n) = 5n + 6.

Answers

Answer:

f(-1) = 1

Step-by-step explanation:

Are you missing a number after the negative in f(-)?

If so, let me solve for f(-1) so substitute in the n with a -1 so f(-1) = 5(-1) + 6

so f(-1) = -5 + 6 so f(-1) = 1

Interest earned: $84
Principal: 600
Interest rate: 7%
Time: ?

Answers

Answer:

2 years

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

t = 84 / ( 600 × 0.07 ) = 2

t = 2 years

The time required to

accumulate simple interest of $ 84.00

from a principal of $ 600.00

at an interest rate of 7% per year

is 2 years.

Can I please have help with question 2) a and b

Answers

Answer:

[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]

Step-by-step explanation:

(a)

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{10\sqrt{6} }{3}[/tex] units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²

    = 32 + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{121}{3}[/tex] ( take the square root of both sides )

h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

h = [tex]\frac{11\sqrt{3} }{3}[/tex]

 

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