The shaded region in the graph represent all possible solution set for [x] and [y].
What are inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.It is used most often to compare two numbers on the number line by their sizeGiven is the inequality as -
- 5x + 4y > - 7
Refer to the graph attached. The shaded area represents the total set of possible solutions for [x] and [y] respectively.
Therefore, the shaded region in the graph represent all possible solution set for [x] and [y].
To solve more questions on graphing inequalities, visit the link below -
brainly.com/question/29061217
#SPJ5
Select all of the expression that are equivalent to 4(3x + 14y)
Answer:
12x + 64y
Step-by-step explanation:
This is the distributed property. You need to apply it according to this question
Freddie invests £6600 in an account that pays 3 % compound interest per annum for the two years, then 1 % . Work out how much money Freddie will have in his account in 8 years.
Using compound interest, it is found that Freddie will have £7433 in his account in 8 years.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.For the first two years, the parameters are given as follows:
P = 6600, r = 0.03, n = 1, t = 2.
Hence the amount is:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(2) = 6600\left(1 + 0.03)^{2}[/tex]
A(2) = 7002.
For the final 6 years, the parameters are:
P = 7002, r = 0.01, n = 1, t = 6.
Hence the amount after 8 years is:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(6) = 7002\left(1 + 0.01)^{6}[/tex]
A(6) = 7433.
Freddie will have £7433 in his account in 8 years.
More can be learned about compound interest at https://brainly.com/question/25781328
#SPJ1
Find the measure of the indicated angle to the nearest degree.
Answer:41
Step-by-step explanation:
Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle.
9, 15, 19
A) acute
B) obtuse
C) right
D) not a triangle
Answer:
Step-by-step explanation:
The sum of the two smaller sides of a triangle must be less than the longest side
a+b<c
Since 9+15>19 this is not a triangle.
simplify the following
[tex]( \frac{1}{a} - \frac{1}{b}) {}^{ - 1} [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{1}{a}-\frac{1}{b} =\frac{1*b}{a*b}-\frac{1*a}{b*a}\\\\=\frac{b}{ab}-\frac{a}{ab}\\\\=\frac{b-a}{ab}\\\\\\(\frac{1}{a}-\frac{1}{b})^{-1} = (\frac{b-a}{ab})*{-1}\\\\=\frac{ab}{b-a}[/tex]
The student council sent its members on four field trips during the school year. The number of
buses needed to transport the members on each field trip is a function of the number of members
who went on each trip. This function consists only of the ordered pairs (52,3), (72, 4), (86,5),
and (105, 6). What is the DOMAIN for this function?
Answer:
{52,72,86,105}
Step-by-step explanation:
hope this helps :)
Ryan is outside playing basketball. He is 5 ft tall and at this time of
day is casting a 12 ft shadow. The basketball hoop is 10 ft tall. How
long is the basketball hoop's shadow?
Answer:
17
Step-by-step explanation:
Does anyone know what 1/2 of -4x is? I am stuck on a question in math. Please help!
Mia went for a long bike ride. She rode 10.25 kilometers each hour for 4.25 hours. How far did Mia travel on her bike ride?
Answer:
43.5625 kilometers
Step-by-step explanation:
hi!
To solve this problem, you have to take note of the important information which is:
- 10.25 km/hour
- 4.25 hours
- how far did she travel?
To answer the question, you need to take Mia's hourly rate (10.25 km PER hour) and multiply that by how many hours she rode her bike for (4.25) which equals 43.5625 kilometers
10.25*4.25 = 43.5625 kilometers
I hope this helped :)
Sallie is earning $8.70 per hour and got a 6% increase in her pay. What is sallies new rate of pay?
Find the slope of the line.
у
4
2
x
-4
-2
O
2
4
-2
-4
O 3/1
0 -3/1
O 6/2
O 1/3
2
Answer: 3/1
Step-by-step explanation:
A
PLEASE HELP IM DESPERATE
Write in the line in slope-intercept form given the slope of 1/3, through the point (-6,9)
Answer:
y = ¹/₃x + 11Step-by-step explanation:
A line passing through point (x₁, y₁) with the slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-6, 9) x₁ = -6, y₁ = 9
So:
y - 9 = ¹/₃(x - (-6))
y - 9 = ¹/₃(x + 6) ← point-slope form
y - 9 = ¹/₃x + 2 {add 9 to both sides}
y = ¹/₃x + 11 ← slope intercept form
What is the range of the function in the graph below(photo imported)
Y is less than or equal to -2
Y is less than or equal to 0
Y is less than or equal to -1
all real numbers
Answer: y is less than or equal to -1
How?
The graphs highest value it will ever reach, range wise, is -1. Therefore it isnt 0, or all real numbers.
The reason why it is -1 and not -2 is because the curve hits -1. Sure, -2 is included in the range, but y is less than or equal to -1 INCLUDES -2
:)
Lydia's transaction at Walmart. HOW MUCH CHANGE SHOULD HE REC 100-(15+14+345)+4410) +2)
A.$47 B$16 C. $14D. $20
Answer:
4686
Step-by-step explanation:
In the equation: y=3x, what is the 3 called?
3 is the Coefficient in the following expression.
Which expression is NOT equivalent to -3x - 1/2 + 4y?
A: 2y - 5x - 1/2 + 2y + 2x
B: -2x - 1/2 + 6y + 3x
C: -3x - 3/4 + 4y + 1/4
D: -3y - 3/4 + 7y + 1/4 - 3x
Answer:
-2x-1/2+6y+
Step-by-step explanation:
A pizza is cut into 8 equal pieces. Jeremy ate 3 of them. Frank ate 2 of them. Then Bill and Harley showed up and shared the rest of the pizza equally. Together, how much of the pizza did Jeremy and Bill eat? Choose your answer to a simplified fraction.
Answer:
4 1/2
Step-by-step explanation:
Jeremy ate 3 slices. Then bill ate half of 3 slices of pizza which is 1 1/2. Add them up and you get 4 1/2.
roduct and simplify your answer. 7n(-2n+5n-5) Enter the correct answer.
Answer:
[tex]21n^{2} - 35[/tex]
Step-by-step explanation:
[tex]7n(-2n+5n-5)[/tex]
[tex]-14n^{2} + 35n^{2} - 35[/tex]
[tex]21n^{2} - 35[/tex]
choose all items where the equation matches the given table
Answer:
1st, 3rd, 4th
Step-by-step explanation:
1st one: 43 x
multiply x by 43
7 x 43 = 301
7 x 43 = 258
10 x 43 = 430
3 x 43 = 129
4 x 43 = 172
(correct)
2nd one: 12x
multiply x by 12
2 x 12= 32
we know that 2 x 12 is 2 so this equation does not work
(incorrect)
3rd one: 202x
multiply x by 202
6 x 202 = 1212
4 x 202 = 808
10 x 202 = 2020
3 x 202 = 606
8 x 202 = 1616
(correct)
4th one: 13x
multiply x by 3
9 x 13 = 117
2 x 13 = 26
7 x 13 = 91
3 x 13 = 36
10 x 13 = 130
(correct)
The perimeter of a football field in a certain school is 296m. If the breadth is 2/3 of the length, find the sides of the field
Answer: 88.8 m , 59.2 m
Step-by-step explanation:
Given
Breadth is [tex]\frac{2}{3}[/tex] of length
Suppose length is x m
So, breadth is [tex]\dfrac{2}{3}x[/tex]
Perimeter is given by [tex]P=2(L+W)[/tex]
Putting values
[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]
Length L is [tex]88.8\ m[/tex]
width W is [tex]\frac{2}{3}x=59.2\ m[/tex]
The radius of the earth is 6370 km what is the approximate circumference of the earth?
If we were to take a cross-section of our planet on the equator, we would get a circle. So, the circumference of this circle is the distance one would have to travel to go around the earth. The formula for the circumference of the circle is 2 x r x pi. The radius of the Earth is r, and pi is approximately 3.1415. So, the circumference is 2 x 6370 x 3.1415, which equals 40 029 km, or approximately 40 thousand kilometers.
Answer: 12,740π. If you use pi as 22/7, you get 40040. If you use pi as 3.14, you get around 40004, so the circumference is basically around 40000
Step-by-step explanation:
A random sample of 50 students from a high school with 900 students is surveyed. Each student is asked what science class he or she is taking and all students at the school take science. The table shows the responses.
Answer: 50 and 900 is correct
Step-by-step explanation:
50 and or 100
Using the quadratic formula to solve 7x2 -x = 7, what are the values of x?
Answer:
x=-7
Step-by-step explanation:
7x2-x=7
7x2=14.
14-x=7
When you finished the last step, you will subtract 14 to both sides.
14-x=7
14-14-x=7-14
this will cancel out the 14 on the left.
And will leave you with:
-x=7-14
7-14 is -7.
and this will get you to
-x=-7
To finish this off, you have to turn the negative x/variable, into a positive x/variable.
So, you will divide both sides of the equation by the same term.
-x = -7
into
[tex]\frac{-x}{1} =\frac{-7}{1}[/tex]
and it will be -7.
I hope this helps :)
Question 36 of 45
The table below shows the amount of blue and yellow
paint needed to obtain a given amount of green paint.
The amount of blue paint needed to produce the green
paint is
you just need to subtract the amount of yellow from the amout of green
amount of yellow paint -amout of green paint =amount of blue paint
Can someone help solve question 12 and 13 please
answer:
the answers are undefined and zero ( and in that order )
step-by-step explanation:
for question 12,
x = 10
since that equation is just a vertical line, the slope is undefined!
but for question 13
y = -5
the equation is just a horizontal line rather then a vertical line, the slope is zero ( since it is not moving )
i hope this helps you and if you need anymore help then please feel free to ask me! :)
4/5x - 3/10 (x +4)
What is the solution to the question?
Answer:
1/10x(5x-12)
Step-by-step explanation:
4/5x-3/10x(x+4)
factor the expression
1/10x(8x-3x-12)
collect like terms to get 1/10x(5x-12)
Priya ran 1 ½ miles today, and Tyler ran 3 ¾ miles today. How many times the length of Tyler's run was Priya's run?
The following triangle is equilaterial triangle. Solve for the unknown variable.
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent, then
2x = 6 ( divide both sides by 2 )
x = 3
and
3y = 6 ( divide both sides by 3 )
y = 2
Thus x = 3 and y = 2 → d
Question 2 of 5
A right cone has a slant height of 17 feet, and the diameter of the base is 16
feet. What is the height, h, of the cone?
h
17 ft
16 ft
Answer:
15 ft
Step-by-step explanation:
A right triangle is formed by h, the radius and the slant height
Given diameter = 16, then radius = 16 ÷ 2 = 8
Using Pythagoras' identity in the right triangle with legs h and 8 and hypotenuse the slant height, then
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take the square root of both sides )
h = [tex]\sqrt{225}[/tex] = 15
Answer:
Step-by-step explanation: