Answer:
Please find attached the required graph of the inequality, y created using Microsoft Excel
Step-by-step explanation:
The inequality is presented as follows;
y > x² + 2·x - 8
We can graph the inequality using Microsoft Excel by generating the data points as follows;
x [tex]{}[/tex] y
-9 [tex]{}[/tex] 55
-8 [tex]{}[/tex] 40
-7 [tex]{}[/tex] 27
-6 [tex]{}[/tex] 16
-5 [tex]{}[/tex] 7
-4 [tex]{}[/tex] 0
-3 [tex]{}[/tex] -5
-2 [tex]{}[/tex] -8
-1 [tex]{}[/tex] -9
0 [tex]{}[/tex] -8
1 [tex]{}[/tex] -5
2 [tex]{}[/tex] 0
3 [tex]{}[/tex] 7
4 [tex]{}[/tex] 16
5 [tex]{}[/tex] 27
6 [tex]{}[/tex] 40
7 [tex]{}[/tex] 55
8 [tex]{}[/tex] 72
9 [tex]{}[/tex] 91
The points are plotted and a dashed line is used to join the points to represent the > inequality symbol. The region above the graph of the inequality is then shaded.
phrases can be used to represent the inequality 6.5x+ 1.5 s 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The product of 6.5 and a number, when increased by 1.5, is at most 21. The sum of 1.5 and the product of 6.5 and a number is at least 21. Save and Exit Net Mark this and return
This question is incomplete
Complete Question
Phrases can be used to represent the inequality 6.5x+ 1.5 ≤ 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The sum of 1.5 and the product of 6.5 and a number is at least 21.
Answer:
The product of 6.5 and a number, when increased by 1.5, is at most 21.
The product of 6.5 and a number, when increased by 1.5, is below 21.
Step-by-step explanation:
We are given the inequality is: 6.5x+ 1.5 ≤ 21
The sign ≤ is known as Less than or equal to.
≤ can also be said to be = at most
Therefore, the Phrases that represents the inequality
6.5x+ 1.5 ≤ 21 is:
* The product of 6.5 and a number, when increased by 1.5, is at most 21.
* The product of 6.5 and a number, when increased by 1.5, is below 21.
Answer:
b and c
Step-by-step explanation:
Assume the average child weighs 40 pounds at age 3. Assume the
average child weighs 70 pounds at age 6. What is the average number of
pounds the child gains per year between ages 3 and 6?
Answer:
10 i think
Step-by-step explanation:
Answer: 10 pounds per year
The given unit rate is 30 pounds every 3 years.
Now, we will divide 30 pounds by 3 years.
30 pounds ÷ 3 years = 10 pounds per year
The answer is 10 pounds per year.
which system of inequalities is shown in the graph?
A)
[tex]y \leqslant 5 \: \: and \: \: y \geqslant 3x - 2[/tex]
B)
[tex]y > 5 \: \: and \: \: y < 2x - 3[/tex]
C)
[tex]y > 5 \: \: and \: \: y \geqslant 2x - 3[/tex]
D)
[tex]y \leqslant 5 \: \: and \: \: y > 3x - 2[/tex]
Answer:
sry I can't understand how to do this question
Which expression is equivalent to the one below?
3(10+)
-5
1
4
-5
8
5+
1
8
1
-5+
4
Answer: 1 and 5 ?
i'm so confused o-o
Step-by-step explanation: i have no idea what i'm doing i just picked a random answer, i'm very sorry if i'm wrong :c
Answer:
Do you have a picture, I can answer you faster?
Rachel has a collection of 40 stuffed animals, of the animals, 3/8 are beats and 1/5 are dogs. The rest are other animals. How many other animals does she have?
Answer:
17 animals
Step-by-step explanation:
Rachel has a collection of 40 stuffed animals
3/8 are bears
= 3/8 ×40
= 120/8
= 15
1/5 are dogs
= 1/5×40
= 40/5
= 8
15+8
= 23
Therefore the number of animal she have left can be calculated as follows
= 40-23
= 17
Hence there are 17 animals left
use a proportion to find the length of side x for the pair of similar figures
Answer:
30.8
Step-by-step explanation:
1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.
2. Set the ratios equal to each other.
14/10 = x/22
3. Cross multiply and solve for x.
14 x 22 = 308
10 x x = 10x
4. Divide by 10
x = 30.8
Answer:
30.8cm they are correct
Step-by-step explanation:
i am from connexus 8th grd pre algrabra
unit 5 lesson 3
1. 1:2
2. C. yes they are similar they have porportional side lengths and = ange measures
3. x = 4.5m
4. x = 30.8cm
5. x = 6 m
HELP please, will give brainliest
As we know that
Diagonal of square = √2 ( side of square )So , we need to find side of square first
Using area of square = Side²
➩ 144 = S²
➩ S = √144
➩ Side = 12 cm
Now ,
➨ Diagonal = √2 ( 12 )
➨ Diagonal of square = 12√2
1
What is the solution to the system of linear equations graphed here?
A (0,2)
B (-2,-4)
C) No Solution
D) (-2,2)
Answer:
The solution is (-2,2)
Answer:
A) (0,2)
Step-by-step explanation:
0.2A^{1-1}
0.2A^{0} .
0.2\times 1
=0.2
If three pounds of apples cost $5.25, how much will 10 pounds cost?
show work!!!!
please help
Answer:
10 pounds will cost $17.50
Step-by-step explanation:
(5.25 / 3) * 10 = x
1.75 * 10 = x
17.50 = x
Answer:
10 pounds of apples will cost $17.50.
Step-by-step explanation:
First, we need to find the unit rate.
$5.25/3 = $1.75
Now we need to multiply $1.75 by 10 pounds.
$1.75 × 10 = $17.50
Please look at the picture I’m timed !!
Answer:
[tex]k = 2.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\frac{7.6}{2} = \frac{9.5}{k}[/tex]
Step 2: Solve for k
Cross-multiply: [tex]7.6k = 2(9.5)[/tex]Multiply: [tex]7.6k = 19[/tex]Isolate k: [tex]k = 2.5[/tex]Answer:
The answer is K+2.5
Step-by-step explanation:
What did the pig say when the farmer pulled it by the tail
Answer:
Without me you will surely die. Too much of me and like a pig you may lie. What am I?
Step-by-step explanation:
Oink Oink That ain't my tail im a male
PLEASE I NEED HELP
Enter in the missing numbers to create equivalent ratios.
Answer:
The table with the missing number
1 5
2 10
5 25
10 50
Step-by-step explanation:
The form of the equivalent ratios is [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] , where a, b, c, and d are integers
From the given table, we will use the first row in all cases (a = 1 and c = 5)
∵ a = 1 and b = 2
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 2 × 5
∴ d = 10
∴ The first missing is 10
∵ a = 1
∵ c = 5 and d = 25
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{b}[/tex] = [tex]\frac{5}{25}[/tex]
→ By using the cross multiplication
∵ 5 × b = 1 × 25
∴ 5b = 25
→ Divide both sides by 5
∴ b = 5
∴ The second missing is 5
∵ a = 1 and b = 10
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{10}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 10 × 5
∴ d = 50
∴ The third missing is 50
∴ The equivalent ratios are [tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{5}{25}[/tex] = [tex]\frac{10}{50}[/tex]
The table with the missing numbers
1 5
2 10
5 25
10 50
whats the LCM of 5 and 60?
For values of x when x + 0, which number property is shown below?
17x () = 172
O associative
0 commutative
O multiplicative identity
division property of zero
i need help, can you please help me?
Answer:
Y= 2/4x + -3
Step-by-step explanation:
Pleaseeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
∠ JHF = 69°
Step-by-step explanation:
Since HJ is a midline then it is parallel to EG , thus
∠ JHF and ∠ GEH are corresponding and congruent, then
7x + 62 = 79 - 10x ( add 10x to both sides )
17x + 62 = 79 ( subtract 62 from both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Thus
∠ JHF = 7x + 62 = 7(1) + 62 = 7 + 62 = 69°
Answer:
7x + 62 = 180
7x= 180 - 62
x = 118 / 7
x = 16
7 × x = 7 × 16
112 + 62 = 174
Step-by-step explanation:
HOPE ITS CORRECT..
Write the expression as a single multiplication sentence without
parentheses.
11 × (15 + 5)
Answer:
11x20
Step-by-step explanation:
15=5 equals 20 so 11x20 is 220
To get system B, the
equation. The solution to system B
equation in system A was replaced by the sum of that equation and
v times the
v the same as the solution to system A
Answer:
This is confusing what are you looking for?
Step-by-step explanation:
402 = 2 x 3 x ____
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
67
Step-by-step explanation:
2x3=6
402/6=67
2x3x67=402
hope this helped:)
What is the surface area of the right triangular prism
A 2,127 square centimeters
B 2,367 square centimeters
C 4,440 square centimeters
D 5,920 square centimeters
Answer:
A
Step-by-step explanation:
Area of a base: 16 × 15 ÷ 2 = 120
Area of sides:
37 × 15 = 555
37 × 16 = 592
37 × 20 = 740
Area of prism: 2 × 120 + 555 + 592 + 740 = 2127
find an equation of the line that is perpendicular to the line y=5x+6 and passes through the point (-2,5)
workings pls
Answer:
[tex]5y=-x+23\\[/tex]
Step-by-step explanation:
Since the equation of the line is perpendicular to the line y = 5x +6
we can use the formula:
[tex]m_1m_2=-1\\[/tex]
where m1 is the slope of the line we have and,
m2 is the slope of the line we need
so here m1 is 5 as we compare it with the slope-intercept form our slope is:
[tex]y=5x+6\\y=mx+b[/tex]
our m1 is 5 but we need m2 so plugging in the value we get m2 to be:
[tex]m_1m_2=-1\\5m_2=-1\\m_2=-1/5\\[/tex]
and now we have our m2, now furthermore since the line passes through the point (-2 , 5) it means the point must lie on the line and satisfy it. We can use this point and the slope m2 and find out the equation by the point-slope form equation:
[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{5}(x-(-2))\\\\5(y-5)=(-1)(x+2)\\5y-25=-x-2\\5y=-x-2+25\\5y=-x+23\\[/tex]
The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.
Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
will give 100 points for answer it'd better be correct though
Answer:
Step-by-step explanation:
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Answer:
B. Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
C. Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
E. Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Step-by-step explanation:
I just did the test and got this correct.
(please mark brainliest)
Have a good day!
I had $3
My ma gave me$10
My uncle n auntie gave me $20
My grandpa gave me $100
I still had $6 more
How much did i have before this??
Answer:
133 bucks can i get brainliest
Step-by-step explanation:
if x2=18x+y and y2=18y+x, then find the value of root
Answer:
[tex]\sqrt{x^2+y^2+1}=18[/tex]
Step-by-step explanation:
We are given:
[tex]x^2=18x+y\qquad\qquad[1][/tex]
[tex]y^2=18y+x\qquad\qquad[2][/tex]
Subtracting [1] and [2]:
[tex]x^2-y^2=18x+y-(18y+x)[/tex]
Operating:
[tex]x^2-y^2=18x+y-18y-x[/tex]
Recall:
[tex]x^2-y^2=(x-y)(x+y)[/tex]
Substituting:
[tex](x-y)(x+y)=18x+y-18y-x[/tex]
Rearranging:
[tex](x-y)(x+y)=18x-18y-(x-y)[/tex]
[tex](x-y)(x+y)=18(x-y)-(x-y)[/tex]
Dividing by x-y (recall x≠y):
[tex]x+y=18-1=17[/tex]
[tex]x+y=17\qquad[3][/tex]
Now we add [1] and [2]:
[tex]x^2+y^2=18x+y+18y+x[/tex]
Rearranging:
[tex]x^2+y^2=18x+18y+x+y[/tex]
[tex]x^2+y^2=18(x+y)+(x+y)[/tex]
[tex]x^2+y^2=19(x+y)[/tex]
Substituting from [3]
[tex]x^2+y^2=19*17=323[/tex]
Adding 1:
[tex]x^2+y^2+1=324[/tex]
Taking the square root:
[tex]\sqrt{x^2+y^2+1}=\sqrt{324}=18[/tex]
Thus:
[tex]\mathbf{\sqrt{x^2+y^2+1}=18}[/tex]
2. Two rectangular fields with identical shapes and areas are to be fenced side by side. The total area enclosed is 8mi^2 and the perimeter for all the fencing is 16 miles. Find the possible dimensions of one of the fields (2 possible answers).
Step-by-step explanation:
Let length is x and breadth is y.
The formula for the area and the perimeter of a rectangle is given by :
A = xy
P = 2(x+y)
Here, A = 8 mi² and P = 16 miles
Putting all the values,
xy = 8
y=8/x ......(1)
2(x+y) = 16
x+y = 8 .....(2)
Put equation (2) in equation (1) as follows :
[tex]x+\dfrac{8}{x}=8\\\\x^2+8=8x\\\\x^2-8x+8=0[/tex]
When we solve, we get :
x = 6.82 miles, 1.17 miles
Put the value of x in equation (1)
When x = 6.82 miles,
y = 8/6.82
y = 1.17 miles
When x = 1.17 miles,
y = 8/1.17
y = 6.82 miles
Hence, the dimension of the field is 6.82 miles and 1.17 miles.
write the constant of proportionality (k). Write an equation (y=kx)
Answer: hmmmm
Step-by-step explanation:
A meerkat was digging a new path to get to his home 8 ft below the surface. He hit a stump and dug 15 ft lower so the roots would not be in his path. What elevation is the meerkat?
Answer:
The elevation is [tex]32.3^{o}[/tex].
Step-by-step explanation:
The home of the meerkat is 8 feet below the surface. So that the root of the stump would not be in his path, he dug 15 feet lower.
This can be represented by the sides of a right angled triangle. Applying the appropriate trigonometric function, let the elevation be represented by θ.
Then,
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{8}{15}[/tex]
Sin θ = 0.5333
⇒ θ = [tex]Sin^{-1}[/tex] 0.5333
= 32.287
θ = [tex]32.3^{o}[/tex]
The elevation of the meerkat is [tex]32.3^{o}[/tex].
how do u add really big fractions
Answer:
It depends on your situation
Step-by-step explanation:
If you have a mixed fraction, for example: 5 23/3000 + 101 777/3000 you would have to make them irrational numbers and add them. Like so: 3000x5 = 15000. 15000+23 = 15023. 15023/3000. Same process but this time you get 303777/3000. You then add the numerators (top numbers) and you'll get the sum over 3000.
For regular fractions you simply add the numerators. If your denominators are not the same, you need to find a common term that both can fit into. If the denominators are not the same, no matter the size of the fraction, you cannot add it.
g(x)= 3x-5
h(x)=2/2x+3
write h(g(x)) as an expression terms of x
Answer: h(g(x))= 2/6x-7
Step-by-step explanation:
1.h(g(x))= 2/(g(x))+3
2.g(x)= 3x-5
h(g(x))= 2/2(3x-5)+3
=2/6x-10+3
=2/6x-7
Find the value of x so that the function has the given value.
n(x) = -6x + 2; n(x) = 44
9514 1404 393
Answer:
x = -7
Step-by-step explanation:
Substitute the given value and solve for x
n(x) = -6x +2
44 = -6x + 2
42 = -6x . . . . . subtract 2
-7 = x . . . . . . . divide by -7
n(x) will have the value 44 for x = -7.