Z.5 Graph solutions to one-step inequalities TMX DIN 4) Solve the inequality and graph the solution. ≥ 2 Language arts 0 Submit To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it. 1 2 3 Science 4 5 7 8 Recommendations 9 10
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The solution of the inequality is d≥ 4. The graph is attached with the answer below.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The solution to inequality is,
d/2 ≥ 2
d ≥ 2 x 2
d ≥ 4
The graph states that all the values of "d" are greater than or equal to 4.
Therefore, the solution to the inequality is d≥ 4. The graph is attached with the answer below.
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Related Questions
Yuvia works in a computer store, where she earns a commission of 8 percent of her sales. On monday, her sales were $2,500. She calculates the amount she made on commission: ($2,500)(0. 08) = yuvia also earns a base salary of $45 per day. What is the total amount she earned that day? [total salary = base pay + commission].
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If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.
Commission = 8 % of sales
Commission =($2,500)(0. 08)
Commission =$ 200
If yuvia also earns a base salary of $45 per day,
Total salary = base pay + commission].
Total salary =45 +200
Total salary =$245
f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.
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How do I solve this?
10-7(3 + 2) +7²
Answers
Answer:
24
Step-by-step explanation:
10 - 7(3 + 2) + 7²
10 - 7(5) + 49
10 - 35 + 49
10 - 35 = -25
-25 + 49 = 24
I hope this helps!
I need help with this math hw its' in the image
Answers
Answer:
x = 7y = 37Step-by-step explanation:
You want to know the values of x and y that make the angle measures consistent with the triangles being congruent in the given figure.
CongruenceThe side markings show congruent triangles with corresponding vertices (and angles) ...
L (3x+24)° ⇔ P (8x -11)°
M 84° ⇔ Q 84°
N (2x +y)° ⇔ R (no marking)
Corresponding angles L and P have the same measure, so ...
3x +24 = 8x -11
35 = 5x . . . . . . . . add 11-3x
7 = x . . . . . . . . . divide by 5
The measures of these angles are ...
(3(7) +24)° = 45°
Angle sum theoremThe sum of the angles in each triangle is 180°, so the measure of angle N is found to be ...
L +M +N = 180°
45° +84° +N = 180°
N = 51°
This lets us find the value of y from ...
(2x +y)° = 51°
2(7) +y = 51
y = 37 . . . . . . . . subtract 14
The value of x is 7. The value of y is 37.
Read each problem carefully. Solve each quadratic equation for the variable(s) specified. Be sure to show all of your work. Explain in two to three sentences what the meof the solution(s) are in relation to the problem situation.1. An object is propelled off of a platform that is 75 feet high at a speed of 45 feet per second (ft./s). The height of the object off the ground is given by the formulah(t) = - 16t^2 + 45t + 75, where h(t) is the object's height at time (t) seconds after the object is propelled. The downward negative pull on the object is represented by -16t^2? Solvefor t.
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Solve for t using quadratic formula:
[tex]\begin{gathered} t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \end{gathered}[/tex]Where:
[tex]\begin{gathered} a=-16 \\ b=45 \\ c=75 \end{gathered}[/tex]so:
[tex]\begin{gathered} t=\frac{-45\pm\sqrt[]{45^2-4(-16)(75)}}{2(-16)} \\ t=\frac{-45\pm5\sqrt[]{273}}{-32} \\ so\colon \\ t\approx-1.175s \\ or \\ t\approx3.988s \end{gathered}[/tex]We take the positive time, therefore:
Answer:
t = 3.988s
The object will hit the ground after approximately 3.988 seconds.
We can also say that the object will remain in the air for less than 4 seconds.
Is y-8= -x a linear equation?
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Select the correct answer.
Given the following formula, solve for a.
8= a+b+c / 2
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Answer:
a = 16 - b - c
Step-by-step explanation:
8 = (a + b + c) ÷ 2
×2 on both sides to cancel out ÷
16 = a + b + c
- b - c to cancel out +
a = 16 + b + c
Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below. P(h) =P. e-0.00012h In this function, Po is the air pressure at the surface of the Earth, and his the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 65% of the air pressure at the surface of the Earth?
A. 0.65 m
B. 5416.7 m
C. 3587.4 m
D. 3589.9 m
Answers
3589.9 m is the height at which air pressure equals 65% of the air pressure at the surface of the Earth
How to find the height at which air pressure equals 65% of P₀?
Given: the function P(h) =P₀ e^(-0.00012h)
When air pressure equals 65% of the air pressure at the surface of the Earth. That means P = 0.65P₀
Substitute P = 0.65P₀ into the function:
P(h) = P₀ e^(-0.00012h)
0.65P₀ = P₀ e^(-0.00012h)
Dividing both sides by P₀ gives:
0.65 = e^(-0.00012h)
Take ln of both sides (ln is the inverse of e):
ln 0.65 = -0.00012h
h = ln 0.65/ (-0.00012)
h = 3589.9 m
Therefore, the height at which air pressure equal 65% of the air pressure at the surface of the Earth is 3589.9 m. Option D is the answer
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Marc is making bread that calls for 5 cups of flour. His measuring cup only holds 1/2 cup. How many times will Marc need to fill the measuring cup to get the 5 cups of flour?
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Total cups of flour to be filled= 5 cups
Capacity of measuring cup = 1/2 cup
Number of times Marc need to fill the 5 cups with his measuring cup = 5 / (1/2)
[tex]\begin{gathered} =5\text{ / }\frac{1}{2} \\ =5\text{ x }\frac{2}{1} \\ =\text{ 10 times} \end{gathered}[/tex]Y=-3|x+2|+8 Slope of the rays
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The slopes of the rays of the absolute value function, y = -3·|x + 2| + 8 are 3 and -3
What is an absolute value function?In an absolute value function, an algebraic expression is contained within an absolute value symbol.
The given absolute value function is; y = -3·|x + 2| + 8
The slope of the rays are found as follows;
The general form of the absolute value function is; f(x) = a·|x - h| + k
The vertex of the function is the point (h, k)
The slope of the function is a
Comparing the specified function, y = -3·|x + 2| + 8, to the general function, we get;
The vertex of the function is (h, k) = (-2, 8)
The slope of the rays of the function are; a = 3
Slope of the ray 1 = (8 - (-19))/(-2 - (-11)) = 3
Slope of ray 1 is therefore; 3
Slope of ray 2 = (8 - (-19))/(-2 - 7) = -3
The slope of the ray 2 is therefore; -3
The slope of the rays are; 3 and -3
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What is the product of 54 and 2.2 \times 10^62.2×10 6 expressed in scientific notation?
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The given expression is represented in scientific notation as (1.77 × 10⁶).
What do we mean by scientific notation?
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as the standard form in the UK and scientific form, standard index form, and standard form.When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 × 10⁸ in scientific notation.So, the given expression in scientific notation:
= (2.2 × 10^6) - (4.3 × 10^5)= (2.2 × 1000000) - (4.3 × 100000)= 2200000 - 430000= 1770000= 177 × 10^4= 1.77 × 10⁶Therefore, the given expression is represented in scientific notation as (1.77 × 10⁶).
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Correct question?
2.2⋅10^6 −4.3⋅10^5 scientific notation
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)?
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The expression which is equivalent to fog(x), is
fog(x) = 3x² + 5
Given, the functions f(x) and g(x), as follows
f(x) = 3x + 2 and g(x) = x² + 1
Now, we have to find the fog(x),
fog(x) = 3( x² + 1 ) + 2
fog(x) = 3x² + 3 + 2
fog(x) = 3x² + 5
So, the value of fog(x) = 3x² + 5
Hence, the expression which is equivalent to fog(x), is
fog(x) = 3x² + 5
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Write the equation y= 4/3 x + 2 in standard form also please Include step by step process
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The standard form of the equation of the line
The equation of the line can be expressed in several forms. One of them is the standard form:
Ax + By = C
Where A, B, and C are constants, and x and y are the variables.
We have the equation:
[tex]y=\frac{4}{3}x+2[/tex]Multiplying by 3:
[tex]3y=4x+6[/tex]Subtracting 4x:
[tex]-4x+3y=6[/tex]Is the required standard form of the line
Solve the problem involving probabillities withindependent events.A single die is rolled twice. Find theProbability of getting a 6 the first time anda 3 the second time.
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Solution
If a single die is rolled twice, we would have
[tex]P((6,3))=\frac{1}{36}[/tex]Triangles ABC and DEF are similar.
Side length AB is 2, side length AC is 4, and side length BC is 3
Side length DE is 1.34
What is the length of DF and EF?
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If Triangles ABC and DEF are similar. Side length AB is 2, side length AC is 4, and side length BC is 3 Side length DE is 1.34 then length of DF = 2.68 and length of EF = 2.01
What are Similar Triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Given,
Triangles ABC and DEF are similar.
AB = 2
AC = 4
BC = 3
DE = 1.34
We need to find the length of DF and EF
Given that ABC and DEF are similar, therefore:
AB/DE = BC/EF = AC/DF
2/1.34=3/EF=4/DF
1.49=3/EF=4/DF
Now,
1.49=3/EF
EF=3/1.49
EF=2.01
1.49=4/DF
DF=4/1.49
DF=2.68
Hence, length of DF = 2.68 and length of EF = 2.01
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Please help me i need this answer in less than 15 minutes. What is -1 5/8 estimated?
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Answer:
[tex] - 120[/tex]
that would be your answer thank you very much
20 hours and earns $210.00
Answers
Answer:
$10.5/hr
Step-by-step explanation:
210/20=10.5
What are the coordinates of the endpoints of the midsegment for △RST that is parallel TS¯¯¯¯¯?
Enter your answer by filling in the boxes.
Answers
The coordinates of the midsegment are :
T ( 0 , 2 ) where x axis 0 and y axis is 2
S ( 8 , 0 ) where x axis is 8 and y axis is 0
R ( 0 , 6 ) where x axis is 0 and y axis is 6
All the points are mentioned in the first quadrant and
The coordinates of the midsegment are :
T ( 0 , 2 ) where x axis 0 and y axis is 2 this means we move 2 units from the origin towards right and 0 units from the x axis thus the y axis is 0
Similarly you can observe for the rest of the two points
S ( 8 , 0 ) where x axis is 8 and y axis is 0
R ( 0 , 6 ) where x axis is 0 and y axis is 6
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Which point is on the graph of f(x) = 2*5^×? O A. (1,10) O B. (10, 1) O C. (0,10) O D. (0,0)
Answers
Question:
Which point is on the graph of
[tex]f(x)=2\times5^x[/tex]A) (1,10)
B) (10,1)
C) (0,10)
D) (0,0)
Answer:
Remember that for any given point to be on the graph of a function, it has to satisfy the equation of such function.
Remember we can change
[tex]f(x)=2\times5^x[/tex]For
[tex]y=2\times5^x[/tex]Let's check if point A satisfies this expression:
[tex]\begin{gathered} y=2\times5^x\rightarrow10=2\times5^1\rightarrow10=2\times5 \\ \rightarrow10=10 \end{gathered}[/tex]Because point A satisfies the equation, we can assure it is also on the graph of the function.
(You can check that any other option is incorrect because none of those points satisfy the equation of the function)
which relation is not a function?
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Answer:
D
Step-by-step explanation:
Two of the same X's
I am going to have to send you a photo of the problem because it is to large to crop into this.
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Solution
we need to convert the following expression:
four less than half a number n
Then the best answer is:
[tex]\frac{1}{2}n-4[/tex]two weeks after being planted, a sunflower was eighteen inches tall. After five weeks, it was thirty inches tall. if the sun flower grew at a constant rate, how tall was the sunflower when It was planted?
Answers
10" tall
1) Gathering the data
2 weeks 5 weeks
18" tall 30" tall
2) Let's find the initial height of that sunflower since it is not a proportional growth we need to find it through a linear function.
(Since 30/5 = 6 and 18/2=9)
After finding the slope m, let's find the linear coefficient
y=mx +b
18 =2(4) +b
18= 8 +b
18-8=b
b=10
So the rule of that function is y=4x +10
3) Now we can find the initial height. Plugging x=0, where x is the number of weeks we have:
y = 4x +10
y=4(0) +10
y= 10
So the sunflower was 10" tall on the day it was planted.
1.9 worksheet Name: Veronica is fertilizing her backyard. The total weight of fertilizer varies rectly with the number of bags.
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The rate of cahne of rate with respect to bags is.
[tex]\begin{gathered} R=\frac{120-90}{4-3} \\ =\frac{30}{1} \\ =30 \end{gathered}[/tex]Therfore, the rate is 30.
Since, the slope of the graph is positive. The variation is direct.
What is the greatest common factor of 42a^5b^3,35a^3b^4,and 42ab^4?
Answers
Answer:
[tex]7a {b}^{3} [/tex]
Step-by-step explanation:
[tex]42 {a}^{5} {b}^{3} = 2 \times 3 \times 7 \times a \times a \times a \times a \times a \times b \times b \times b[/tex]
[tex]35 {a}^{3} {b}^{4} = 5 \times 7 \times a \times a \times a \times b \times b \times b \times b[/tex]
[tex]42a {b}^{4} = 2 \times 3 \times 7 \times a \times b \times b \times b \times b[/tex]
We see that 7, a, and b^3 are common factors, so the GCF is
[tex]7a {b}^{3} [/tex]
HELP ME QUICKLY!!!
What is the equation of a line with a slope of 6 and à
y-intercept of 8.
A) y=6x+8
B) y=8x+6
C) y=48x
D) y=6x-8
Answers
Answer:
Equation of the line is 6x−y+8=0.
So I think Its A
Step-by-step explanation:
I rlly hope it helps u lol
Cassandra has a tangler panto in her backyard the panto is 12.74 m long and 5.45 m wide round the length and width to the nearest whole number then estimate the perimeter of cassandra is panto write an equation to show your work
Answers
The perimeter measures around 36 metre.
Describe a perimeter?The perimeter refers to the area surrounding an object. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.
While 12.74 rounds up to 13, 5.45 rounds down to 5. Recatangle created a total of four sides, two of which are identical in length to the other two (which is a poor way to explain it). There are two sides that are 13 inches long and two sides that are 5 inches long, which is the solution to this question. When added together, the perimeter would be 13+13+5+5.
As an expression,
2(13)+2(5)
=26+10
=36.
The perimeter is approximately 36 meters.
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Write an equation in the form y mx for the Heartbeats to Time proportional relationship shown below. Time over heartbeats
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To determine the required slope intercept form, take the heartbeat as varible y and time as varible x.
Now select any two coordinates from the table.
Take (2,3) and (4,6).
Use the two point form,
[tex]\begin{gathered} \frac{y-3}{x-2}=\frac{6-3}{4-2} \\ 2(y-3)=3(x-2) \\ 2y-6=3x-6 \\ 2y=3x \\ y=\frac{3}{2}x \end{gathered}[/tex]Thus, y=1.5x is the requried form of the line.
Find the rate of change for each interval solve 2
Answers
we will use the next formula to find the rate of change of the given interval
[tex]r=\frac{f(b)-f(a)}{b-a}[/tex]in our case
a=-3
b=6
[tex]f(-3)=10\log (-3+4)+2=2[/tex][tex]f(6)=10\log (6+4)+2=12[/tex]then we substitute the values in the formula
[tex]r=\frac{12-2}{6-(-3)}=\frac{10}{6+3}=\frac{10}{9}[/tex]The average rate of change is 10/9=1.11
Use the Left and Right Riemann Sums with 100 rectangles to estimate the (signed) area under the curve of y=−8x+2 on the interval [0,50]. Write your answer using the sigma notation.
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In order to find the left, the method is
1. Divide the interval [0,50] in 99 intervals.
2. Multiply the length of the first interval by the image of the left side of that interval
3. Do the same with all of them
4. Sum all the 99 results
On the right side, just changes 2. to the right side of the interval.
After that process, you will obtain that, the left sum is -9798.99, and the right sum is -10001.01.
In sigma notation, the left sum is
[tex]\sum_{i\mathop{=}0}^{99}[x_i-x_{i+1}]min(f(x_i),f(x_{i+1}))[/tex]The right sum is
[tex]\sum_{i\mathop{=}1}^{100}[x_i-x_{i+1}]max{}{}f((x_i),f(x_{i+1}))[/tex]
Brenda ordered 12 dozen cookies from the bakery 1/3 of them or peanut butter 1/6 of the cookies are ice 3/8 of the cookies are chocolate chip recipe cookies are oatmeal how many cookies are oatmeal cookies
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The number of oatmeal cookies when Brenda ordered 12 dozen cookies from the bakery is 18.
How to calculate the value?Since Brenda ordered 12 dozen cookies from the bakery, the total number ordered will be:
= 12 × 12
= 144 cookies
Since 1/3 of them or peanut butter 1/6 of the cookies are ice 3/8 of the cookies are chocolate, the fraction for oatmeal will be:
= 1 - (1/3 + 1/6 + 3/8)
= 1 - 7/8
= 1/8
The oatmeal cookies will be:
= 1/8 × 144
= 18
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This table shows the relationship between the diameter of a tire and its cost a Kim’s discount hubcapsWhat is the best prediction of the cost of hubcap with a diameter of 20 inches
Answers
Answer:
Concept:
We will have to get the formula connecting the diameter and the cost
Step 1:
We will bring put two coordinates below as
[tex]\begin{gathered} (x_1,y_1)\Rightarrow(14,40) \\ (x_2,y_2)\Rightarrow(16,50) \end{gathered}[/tex]To figure out the equation of the line, we will use the formula below
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y-y_1}{x-x_1}[/tex]By substituting the values, we will have
[tex]\begin{gathered} \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{y-y_{1}}{x-x_{1}} \\ \frac{50-40}{16-14}=\frac{y-40}{x-14} \\ \frac{10}{2}=\frac{y-40}{x-14} \\ y-40=5(x-14) \\ y-40=5x-70 \\ y=5x-70+40 \\ y=5x-30 \end{gathered}[/tex]Step 2:
To get the cost of a hubcap with a diameter of 20 inches , we will substitute x=20 in the equation below
[tex]\begin{gathered} y=5x-30 \\ y=5(20)-30 \\ y=100-30 \\ y=70 \end{gathered}[/tex]Hence,
The final asnwer is
[tex]\Rightarrow70[/tex]The FIRST OPTION is the right answer