Is (1, 7) a solution to this system of inequalities? y < x + 8 y ≤ 6x + 1

Answers

Answer 1

Answer:

-8

Step-by-step explanation:

Answer 2

Final answer:

Upon checking both inequalities, the point (1, 7) satisfies y < x + 8 and y ≤ 6x + 1. Thus, (1, 7) is a solution to the system of inequalities.

Explanation:

To determine if the point (1, 7) is a solution to the given system of inequalities, we need to check if the point satisfies both inequalities. The system is:

y < x + 8

y ≤ 6x + 1

For the first inequality:

y < x + 8

7 < 1 + 8

7 < 9 ⇒ True

For the second inequality:

y ≤ 6x + 1

7 ≤ 6(1) + 1

7 ≤ 7 ⇒ True

Since the point (1, 7) satisfies both inequalities, it is indeed a solution to the system.


Related Questions

I have 50 points to give what is 10 to the 3rd power :D

Answers

Answer:

1000

Step-by-step explanation:

thx bro :)

do the following senarios model the equation y=2x+5

There are initially 5 chickens on the farm. Each month thereafter the number of chickens is 2 times the number in the month before. YES/NO?

Nina earns $2.00 for each Enjoy the City book she sells. Each time she sells a book she also gets a five-dollar tip. YES/NO?

The temperature at 8:00 AM is 5 degrees Celsius and increases 2 degrees per hour. YES/NO?

Answers

1) Yes
2) No
3) Yes
Hope this helps!

which expression is equivalent to -a*b
a.) a*(-b)
b.) b-a
c.) (-a)(-b)
d.) -a+b

Answers

Hope this helps u
The answer is a.)
the answer is a) a*(-b)

What happens when you multiply or divide by a negative number in a inequality

Answers

Answer:

Flip the inequality sign!

Step-by-step explanation:

There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.

NEED HELP!!!!! What is 0.50000 times 0.10

Answers

Answer:

0.50000 * 0.10 = 0.05

Step-by-step explanation:

multiply without the decimal points, then put the decimal point in the answer. so 5*1 nd that is 5, 0.5 has one decimal point and so does 0.1 so there is two decimal points : )

Answer:

0.05

Step-by-step explanation:

0.5*0.1=0.05

i used a calculator

Which relation is a function?
Of
Mark this and return
Save and Exit
Next
Submit

Answers

In mathematics, a relation is a function if each input has a unique output. This one-to-one correspondence distinguishes functions, vital for modeling relationships and solving mathematical problems.

In mathematics, a relation is considered a function if each input (or element from the domain) corresponds to exactly one output (or element in the range).

Every element in the domain is associated with a unique element in the range.

A function is a specific type of relation between two sets, usually called the domain and the range.

In a function, each element in the domain is paired with exactly one element in the range.

Function Notation:

If f is a function, we often use the notation f(x) to represent the output (or value in the range) corresponding to the input x in the domain.

Key Criteria for a Relation to be a Function:

Domain-Range Pairs: Each element in the domain must be paired with an element in the range.

Uniqueness: Each element in the domain must have a unique partner in the range. No two different elements in the domain can have the same output.

Testing for a Function:

Vertical Line Test: If any vertical line intersects the graph of the relation at more than one point, the relation is not a function.

Mapping Diagram: A mapping diagram can visually represent the pairing of elements from the domain to the range.

Example:

Consider the relation where each person is paired with their date of birth. This is a function because each person has a unique date of birth.

Notation for Functions:

A function f is often denoted as f:A→B, where A is the domain and B is the codomain.

Therefore,  a relation is a function if each input value maps to only one output value.

Learn more about function here

brainly.com/question/35114770

#SPJ3

The above question is incomplete, the complete question is:

Explain which relations are known as function ?

n
A well in which groundwater rises because of pressure is called a(n)
a. artesian well.
b. geyser well.
C. spring well.
d. dry well.
Please select the best answer from the choices provided
Oo oo
O

Answers

It’s is the answer is c spring well

Answer:

c

Step-by-step explanation:

What is the median of the data represented by the box plot?



Enter your answer in the box.

Answers

Answer:

20

Step-by-step explanation:

Find the surface area of the right rectangular prism shown below

Answers

Answer:

you need to provide the figure

Where is the picture?

square root of 12 • by the square root of -1

Answers

Answer:

2i-/3

Step-by-step explanation:

This question involves imaginary numbers and simplifying radicals.

Question #4 i think my answer is wrong . thoughs anyone ?

Answers

Answer:

2nd option is the correct one

I believe the answer is the second option

Please help answer bottom questions

Answers

Answer:

what grade mathematics is this?

Step-by-step explanation:

???/

PLEASE HELP!!!! I WILL MARK THE BRAINLIEST!!!!

Answers

After calculating the unit rates and applying the given code, the final answer to the puzzle is 12.

The puzzle involves analyzing the unit rates of different line graphs and then performing a specified mathematical operation on them using a given code.

Calculate the unit rates for each graph:

Graph A: 8/4 = 2

Graph B: -6/3 = -2

Graph C: 10/5 = 2

Graph D: -8/4 = -2

Graph E: 8/4 = 2

Graph F: -6/-3 = 2

Apply the given code: [E * (B - F + A) + (C - D)]

Substitute the calculated unit rates into the code: [2 * (-2 - (-2) + 2) + (2 - (-2))]

Simplify the expression: [2 * (2 + 2) + (2 + 2)]

Perform the calculation: [2 * 4 + 4]

Get the final answer: [8 + 4], which equals 12.

Therefore, the final answer to the puzzle is 12.

50 POINTS! What is the value of x?


4

4√3

8

​ 8√3 ​
The figure contains a right triangle. The side opposite the right angle is 8. The side opposite the 60 degree angle is x.

Answers

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

Since the triangle is a right triangle with a 60 degree angle, the triangle is what can be referred to as a 30-60-90 triangle. In this type of triangle, the larger leg (the one opposite the 60 degree angle) is [tex]\sqrt{3}[/tex] times larger than the smaller leg (the one opposite the 30 degree angle). Also, the hypotenuse (the side opposite the right angle) is twice larger than the smaller leg. Since the smaller leg is 8/2=4 units long, x is [tex]\sqrt{3}[/tex] larger than that or just [tex]4\sqrt{3}[/tex]. Hope this helps!

Answer:

4√3

Step-by-step explanation:

We can use trig functions since this is a right triangle

The side opposite the right angle is 8, that is the hypotenuse

We know the opposite side is x

sin theta = opp/ hyp

sin 60 = x/8

Multiply each side by 8

8 sin 60 =x

sin 60 = sqrt(3)/2

8 (sqrt(3)/2 =x

4 sqrt(3) =x

What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4 2 9 12 y = negative 2 x minus 6 y = negative 2 x + 6 y = 2 x minus 6 y = 2 x + 6

50 POINTS PLEASE DO NOW>>> ASAP

Answers

Answer:

y = 2 x minus 6

Step-by-step explanation:

(-6,-18) and (-1,-8)

Slope: (-8 - -18)/(-1 - -6)

10/5

2

y = 2x + c

-8 = 2(-1) + c

-8 = -2 + c

c = -6

y = 2x - 6

y = 2x - 4

Answer:

c

Step-by-step explanation:

Solve for x. Write both solutions, separated by a comma.
2x^2 - x - 10 = 0​

Answers

Answer:

-2, 5/2

Step-by-step explanation:

2x^2 - x - 10 = 0​

Factor

(2x-5)( x+2) = 0

Using the zero product property

2x-5 =0     x+2 =0

2x=5            x = -2

x = 5/2          x = -2

Answer:

x= 5 /2 or x=−2

Step-by-step explanation:

Step 1: Factor left side of equation.

(2x−5)(x+2)=0

Step 2: Set factors equal to 0.

2x−5=0 or x+2=0

x= 5 /2  or x=−2

aH the second question

Answers

Answer:

ii. 55 degrees.

Step-by-step explanation:

(ii)

Consider the  quadrilateral ABCD.

Angle n = 180 - 96 = 84 degrees  ( opposite angles of a cyclic quadrilateral are supplementary).

Consider triangle ABC: the 3 angles are supplementary, so

m < j = 180 - 84 - 41

=  55 degrees.

The table shows the number of boys and girls that have black blonde brown or red hair color.

Black* (boys) 4 (girls) 5
Blonde* (boys) 4 (girls) 6
Brown* (boys) 10 (girls) 8
Red* (boys) 2 (girls) 1

What is the probability that a student is a girl with blonde hair? (Round to nearest hundredth)

Answers

Answer:

im not sure but i think its 0.15

Step-by-step explanation:

the number of students are 40

there are 6 blonde girls out of those 40

6/40 simplified is 3/20

3/20 converted to decimal is 0.15

Answer:

its 0.20, the person saying its 0.15 is wrong

HELP PLEASE ITS A GRADE I WILL GIVE 5 STARS TO WHOEVER ANSWERS ALL 5

Answers

Answer:

It 20%

Step-by-step explanation:

Yw  ->-

Sasha's school is due west of her house and due south of her friend Nina's house. The distance between the school and Nina's house is 8 kilometers and the straight-line distance between Sasha's house and Nina's house is 10 kilometers. How far is Sasha's house from school?

Answers

Answer:

6 km

Step-by-step explanation:

These three places form a right angle triangle

10² = 8² + x²

100 = 64 + x²

x² = 36

x = 6

40 points!!! List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar triangle

Answers

Answer:

ha

bi

cj

Step-by-step explanation:

same angles lol

Answer:

They are the same triangle so list the same angles in the same position

A=H

B=I

C=J

AB=HI

AC=HJ

BC=IJ

question is only 10 points but it's fine

Step-by-step explanation:

a farmer is putting up a rectangular pasture. it measures 320 feet by 335 feet it costs $8 per foot, how much will it cost

Answers

Final answer:

The total cost to fence a rectangular pasture measuring 320 feet by 335 feet at $8 per foot is $10,480. The cost is calculated by finding the perimeter of the rectangle (1310 feet) and multiplying it by the cost per foot.

Explanation:

To calculate the cost of fencing a rectangular pasture measuring 320 feet by 335 feet at a rate of $8 per foot, we need to find the perimeter of the rectangle and then multiply it by the cost per foot.

The perimeter (P) of a rectangle can be found using the formula P = 2(length + width). In this case:

Length (L) = 320 feet

Width (W) = 335 feet

So, the perimeter P = 2(L + W).P = 2(320 feet + 335 feet)P = 2(655 feet)P = 1310 feet

Now, to find the total cost, we multiply the perimeter by the cost per foot:

Total Cost = Perimeter × Cost per foot

Total Cost = 1310 feet × $8/foot

Total Cost = $10,480

Therefore, the total cost to fence the entire pasture will be $10,480.

please help me really quick​

Answers

Answer:

Solution is...

A)  X < 6

Find the value if x and simplify completely

Answers

Answer:

[tex] x = 9 \sqrt{10} [/tex]

Step-by-step explanation:

By Geometric mean property:

[tex]y = \sqrt{3 \times 27} \\ = \sqrt{81} \\ y = 9 \\ by \: pythagors \: theorem : \\ x = \sqrt{ {27}^{2} + {9}^{2} } \\ = \sqrt{(9 \times 3)^{2} + {9}^{2} } \\ = \sqrt{ {9}^{2} \times {3}^{2} + { {9}^{2} } } \\ = \sqrt{ {9}^{2} ( {3}^{2} + 1)} \\ = 9 \sqrt{9 + 1} \\ x = 9 \sqrt{10} [/tex]

A certain class has 11 students, 6 boys, and 5 girls, and they have no matched birthdays. What is the probability that 3 eldest students are all boys?

Answers

Answer:

Nashua RSM?

Step-by-step explanation:

There are 323232 forwards and 808080 guards in Leo's basketball league.
Leo must include all players on a team and wants each team to have the same number of forwards and the same number of guards.
If Leo creates the greatest number of teams possible, how many guards will be on each team?

Answers

Answer:

b.

Step-by-step explanation:

Answer:

there are 5 guards on each team

Step-by-step explanation:

Since we have given that

Number of forwards in Leo's basketball league = 32

Number of guards in Leo's basketball league = 80

We need to find the greatest number of teams possible.

So, we will find "Highest common factor " i.e HCF of 32 and 80 = 16

So, Number of guards on each team would be 5

Circle D has its center on a radius of circle A. The diameter of circle D is equal
to the radius of circle A. Find the ratio of the area of circle D to the area of
circle A

Answers

Answer:

1:4

Step-by-step explanation:

An angle that turns through 1/360 of a circle and measures 360 degrees is called a ________ angle.

A. Unit

B. Straight

C. Obtuse

Answers

An angle that turns through 1/360 of a circle and measures 360 degrees is called a (A) Unit angle.

An angle that turns through [tex]\( \frac{1}{360} \)[/tex] of a circle and measures 360 degrees is called a Unit angle. This term is associated with the concept of angular measurement, where a full circle is divided into 360 equal parts, each known as a degree. Therefore, an angle that subtends [tex]\( \frac{1}{360} \)[/tex] of this circle is referred to as a "unit angle."

The options provided are:

A. Unit: This is the correct answer. A unit angle is precisely the measure of [tex]\( \frac{1}{360} \)[/tex] of a circle, and in this case, it corresponds to 360 degrees.

B. Straight: A straight angle measures 180 degrees and is formed by two opposite rays. It is not directly related to the concept of [tex]\( \frac{1}{360} \)[/tex] of a circle.

C. Obtuse: An obtuse angle measures more than 90 degrees but less than 180 degrees. It is not the appropriate term for an angle that turns through [tex]\frac{1}{360}[/tex] of a circle and measures 360 degrees.

In summary, the correct term for an angle that turns through [tex]\( \frac{1}{360} \)[/tex] of a circle and measures 360 degrees is a Unit angle (option A).

Which statement about the intersecting line and segment is false?
A. DB is a perpendicular bisector of AC-
B. DB is a bisector of AC.
AE = EC
D. CEEA

Answers

Answer:

B. DB is a bisector of AC.

A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling a number less than 5?

Answers

Answer:

[tex] \frac{5}{6} [/tex]

Answer:

15.8%

Step-by-step explanation:

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