Answer:
x=-7
0=(-7)³-3(-7)²+2(-7)-8
=-343-147-14-8
0≠-512
x+7 isn't a factor
What is the equation of a line that is parallel to the given line and passes through the point (-2,2)
The equation of the line will be y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
First, we need to find the equation of the line that is given:
We can use the formula,
[tex]m = \dfrac{y_1 - y_2}{x_1-x_2}[/tex]
[tex]m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}[/tex]
So the equation for this line is
y = (1/5) x - 3
This means that the equation for the line we are trying to find has a slope of as well
Let's put the points in the equation and try to find the y-intercept:
2 = [tex]\dfrac{1}{5}[/tex] ( -2 ) + b
[tex]\dfrac{15}{5} = b[/tex]
So the final equation for the line we are trying to find is y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]
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Select the correct answer. how might an architect use geometry in their work? to determine the best materials for a structure to decide how many electrical outlets to install to decide how much to charge for their design to design the floorplan of a structure
An architect uses geometry to charge for their design to design the floorplan of a sructure.
Architects use geometry to help them design buildings and structures. Mathematics can help architects express design images and to analyze as well as calculate possible structural problems.
The shapes and sizes used in the architect’s design are often possible due to mathematical principles.
An example of this would be the Pythagorean Theorem. Architects are required to know college level algebra, trigonometry, probability and statistics, linear programming, calculus I and calculus II. They are also required to obtain a professional degree, gather work experience in an internship setting and pass the Architect registration exam for licensing purposes.
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Answer:
to design the floorplan of a structure
Step-by-step explanation:
Geometry describes the properties and arrangement of shapes in space. Designing the floor plan of a structure would involve the arrangement of shapes in a defined space.
pls answerthanks for your help
Scientists are using a computer simulation to test ideas about climate on Earth. Looking at one period of time in the simulation, they notice that more energy entered the Earth system than exited. How might the amount of carbon dioxide have changed to cause this, and how would this have changed the energy in the Earth system? In the simulation,
A. Carbon dioxide decreased, leading to less energy in the Earth system and less energy absorbed by Earth’s surface.
B. Carbon dioxide decreased, leading to more energy in the Earth system and more energy absorbed by Earth’s surface.
Carbon dioxide increased, leading to less energy in the Earth system and less energy absorbed by Earth’s surface.
D. Carbon dioxide increased, leading to more energy in the Earth system and more energy absorbed by Earth’s surface.
Answer:
Step-by-step explanation:
ore energy entered the Earth system than exited due to the greenhouse effect, solar energy trapping systems like solar panel, etc.
How CO₂ changed the energy in the Earth system due to many reasons:-
Carbon dioxide forces the Earth's energy budget out of balance by absorbing thermal infrared energy radiated by the surface. It absorbs thermal infrared energy with wavelengths in a part of the energy spectrum that other gases, such as water vapor, co₂, etc.
The greenhouse effect also increases energy in the earth's system.
An increase in the amount of carbon dioxide creates an overabundance of greenhouse gases that trap additional heat.
These greenhouse gas emissions have increased the greenhouse effect and caused the earth's surface temperature to rise.
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Find the nth term of this number sequence
1, 7, 13, 19, ...
Answer:
6n-5
Step-by-step explanation:
Some different types of sequences
To find sequence patterns, often the sequences are arithmetic (adding by a constant amount) or geometric (multiplying by a constant amount).
To test if something is a geometric sequence, find the quotient of (divide) adjacent terms.
To test if something is an arithmetic sequence, find the difference of (subtract) adjacent terms.
Finding the type of our sequence
Note the following:
19-13=6
13-7=6
7-1=6
So, to get each next term, add 6. However, what is the nth term?
Finding an expression for our sequence
You'll be adding up "n" sixes to get there (expressed with multiplication, because multiplication is shorthand for repeated addition), but we need a starting point so that when n=1, the expression equals 1, and when n=2, the expression equals 7... and so on. This starting point shifts the "6n" piece of our expression so that it lines up on the sequence. I'm going to call this starting point "b" for the base that is supporting this sequence.
So the expression will look something like [tex]6n+b[/tex]
Knowing that the expression needs to equal 1 when n=1, we can set up an equation and solve for "b".
[tex]6n+b=n^{\text{th}} \text{ term}\\6(1)+b=(1)\\6+b=1\\(6+b)-6=(1)-6\\b=-5[/tex]
So, the expression for the nth term of the sequence is [tex]6n-5[/tex]
Verifying
To verify that the expression we found is right, we can test our expression for each of the terms we do know:
The first term (n=1) is 1
[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]
[tex]6(1)-5 \overset{?}{=} (1)[/tex]
[tex]6-5 \overset{?}{=} 1[/tex]
[tex]1 \overset{\checkmark}{=} 1[/tex]
The second term (n=2) is 7
[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]
[tex]6(2)-5 \overset{?}{=} (7)[/tex]
[tex]12-5 \overset{?}{=} 7[/tex]
[tex]7 \overset{\checkmark}{=} 7[/tex]
The third term (n=3) is 13
[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]
[tex]6(3)-5 \overset{?}{=} (13)[/tex]
[tex]18-5 \overset{?}{=} 13[/tex]
[tex]13 \overset{\checkmark}{=} 13[/tex]
The fourth term (n=4) is 19
[tex]6n+b=n^{\text{th}} \text{ term}\\[/tex]
[tex]6(4)-5 \overset{?}{=} (19)[/tex]
[tex]24-5 \overset{?}{=} 19[/tex]
[tex]19 \overset{\checkmark}{=} 19[/tex]
what is the square root of 799300
Answer:
894.035793467 or roughly 894
Step-by-step explanation:
I square rooted it by using a calculator, and by working it out on paper.
Given circle D, calculate the measure of arc AC if AD=16 and BD=13.
Answer:
18.66
Step-by-step explanation:
Using the pythagorean theorem:
a^2 + b^2 = c^2
a^2 + 13^2 = 16^2
a^2 + 169 = 256
a^2 = 87
a = 9.33
Since we need to figure out length AC and not just AB, we can multiply our answer by 2:
9.33 x 2 = 18.66
Answer:
71.32°
Step-by-step explanation:
The measure of angle ADB can be found using the trig relation ...
Cos = Adjacent/Hypotenuse
__
cos(ADB) = DB/AD = 13/16
Using the inverse function, ...
∠ADB = arccos(13/16) ≈ 35.659°
Arc AC has the same measure as angle ADC, which is double the measure of angle ADB.
Arc AC = 2×35.659° = 71.318° ≈ 71.32°
The measure of arc AC is about 71.32°.
_____
Additional comment
The length of arc AC is the product of the radius and its radian measure:
length AC = (16)(71.32π/180) ≈ 19.92 . . . units
Which ordered pair word form a proportional relationship with the point graph below
a. (10,10)
b. (25,35)
c. (70,50)
d. (90,60)
Answer:
D. (90, 60)
Step-by-step explanation:
A proportional relationship is a relationship in which the ratios of two variables are equivalent.
If we take two points on the graph such as (45, 30) and (30, 20), we can see that they can both be simplified to the ratio 3:2. Using this we can find the correct answer. From looking at all the points we can see that only (90,60) would also form a ratio of 3:2, thus d would be the correct answer.
City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than 3 times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. What was the temperature of City A and City B on that day?
A) City A was 5: C. and City B was 4° C.
B) City À was 3° C, and City B was -1° C
C)City A was 8° C. and City 3 was -3° C.
D)City À was 5° C, and City 3 was -5° C.
Answer:
A) City A was 5°C and City B was 4°C
Step-by-step explanation:
let temperature of City A be x and City B be y
According to the conditions of the question
4x = 8 + 3y (first temperature)
x - 2y = -3 (second temperature)
x = -3 + 2y
4(x) = (-3 + 2y)×4
4x = -12 + 8y
But it's already given that 4x = 8 + 3y
So,
8 + 3y = -12 + 8y
8 + 12 = 8y - 3y
20 = 5y
y = 20/5
y = 4
That means City B temperature was 4°C
So Option A
If you want you can find x to find City A temperature
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Kylie is ordering 9 pizzas for her party. Each pizza is either thin crust or deep dish. Each thin crust pizza costs $20, and each deep dish pizza costs $8 more. If her total including 10% tax is $242, how many thin crust pizzas did she order?
A. 2
B. 3
C. 4
D. 5
E. 8
Answer:
the answer is A. 2 thin crust pizzas
Write an equation in slope intercept form with the given information.
Goes through points (-1,3) and (1,5)
Answer:
y= x +4
Step-by-step explanation:
The slope-intercept form of an equation is given by y= mx +c, where m is the slope and c is the y-intercept.
Start by finding the slope of the line.
[tex]\boxed{\text{slope}=\frac{y_1-y_2}{x_1-x_2} }[/tex]
Slope
[tex]=\frac{5-3}{1-(-1)}[/tex]
[tex]=\frac{2}{1+1}[/tex]
[tex]=\frac{2}{2}[/tex]
= 1
Substitute m= 1:
y= x+c
Finally, find c by substituting a pair of coordinates.
When x= 1, y= 5,
5= 1 +c
c= 5 -1
c= 4
Thus, the equation of the line is y= x +4.
Additional:
For more questions on slope-intercept form, do check out
https://brainly.com/question/27497166Which explains whether or not the function represents a direct variation? This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour. This function represents a direct variation because it has a positive, constant rate of change of $10 per hour. O This function does not represent a direct variation because it does not represent the cost for 1 hour. O This function does not represent a direct variation because the function rule for the cost is to add $10, not multiply by a constant. Which explains whether or not the function represents a direct variation ? This function represents a direct variation because it passes through the origin and has a constant rate of change of $ 5 per hour . This function represents a direct variation because it has a positive , constant rate of change of $ 10 per hour . O This function does not represent a direct variation because it does not represent the cost for 1 hour . O This function does not represent a direct variation because the function rule for the cost is to add $ 10 , not multiply by a constant .
The answer choice which explains whether the function is a direct variation or not is; This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Which explains whether or not the function represents a direct variation?It follows from the task content that the function passes through the origin and hence, if the function was represents as a linear function, it's y-intercept would be zero.
Furthermore, the slope, otherwise termed it's rate of chage is constant and is evaluated as; $5 per hour. Hence, the aforementioned form the basis for the classification of the function as a direct variation.
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Factor this expression completely 9x^2 - 72x + 8
The solution for the given equation will be x=7.8873 and x=0.112699.
What is a quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
Find the Solution for
9x²−72x+8=0
using the Quadratic Formula where
a = 9, b = -72, and c = 8
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{(-72)\pm\sqrt{(-72)^2-4(9)(8)}}{2(9)}[/tex]
x= [tex]\dfrac{72\pm4896}{\sqrt{18}}[/tex]
The discriminant b2−4ac>0
so, there are two real roots. After solving for plus and then minus we will get two values as follows.
x=7.8873
x=0.112699
Therefore the solution for the given equation will be x=7.8873 and x=0.112699.
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Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies inversely as the square of x, and y
7
when x = 1, find y when x = 3.
3x2 (3)=
--/12
C.
7
27
y =
b.
4x² (3) 7
36
7x2 (3) 4
63
3
y=y(3)
y=
d.
Answer:
k=7,y=2.33 and y=k/x^2
Step-by-step explanation:
y=k/x^2
7=k/1
k=7
y=k/x^2
y=7/3
y=2.33
hope it helpful
if each interior angle of a regular polygon measures 180° how many sides does it have
Answer:
This is impossible.
Step-by-step explanation:
The interior angle of a regular polygon is equal to
[tex] \frac{180(n - 2)}{n} [/tex]
where n is the number of sides.
Setting this equal to 180°,
[tex] \frac{180(n - 2)}{n} = 180 \\ \\ \frac{n - 2}{n} = 1 \\ \\ n = n - 2 \\ \\ 0 = - 2[/tex]
which is false.
The mapping diagram shows a functional relationship.
Domain
Range
3
9
0
3
-1
9
Complete the statement.
f(3) is
Solve For x
[tex] \large \frak{5x + 15 = 30}[/tex]
Tysm!:)
[tex]\boldsymbol{5x+15=30}[/tex]
Subtract 15 from both sides.
[tex]\boldsymbol{5x=30-15 }[/tex]Subtract 15 from 30 to get 15.
[tex]\boldsymbol{5x=15 }[/tex]Divide both sides by 5.
[tex]\boldsymbol{x=\dfrac{15}{5} }[/tex]Divide 15 by 5 to get 3.
[tex]\boldsymbol{x=3 \ \ \to \ \ \ Answer}[/tex]VerificationLet x=3.
[tex]\bf{5\times3+15=30 \ \ \to \ \ \ Multiply }[/tex][tex]\bf{15+15=30 \ \ \to \ \ \ Add}[/tex][tex]\bf{30=30 \to \ The \ equality \ is \ fulfilled.}[/tex]Checked ✅
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
$50 item discounted 30%
Select the correct answer.
A petri dish contains cells of a certain strain of bacteria. Each bacterial cell in the dish divides in half approximately every 6 minutes. The curve of best fit that models the number of bacterial cells in the dish is given by the equation f(x) = 4.2 • 1.1x, where x represents the number of minutes and y represents the number of cells. Which value most likely represents the initial number of bacterial cells in the petri dish?
A.
10 cells
B.
5 cells
C.
2 cells
D.
1 cell
Answer:
the answer to that is B. 5 cells
A triangle has a base length of 3ac2 and a height 5 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 5.
Answer:
45750 cm²
Step-by-step explanation:
Area of triangle:a = 4 and c = 5
base length = 3ac²
= 3 * 4 * 5 * 5
= 300 cm
height = 5 cm more than the base length
= 300 + 5
= 305 cm
[tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base \ length * height}[/tex]
[tex]\sf =\dfrac{1}{2}*300*305\\\\= 150 * 305\\\\= 45750 \ cm^2[/tex]
5x + 13y=232
12x + 7y= 218
Answer:
x=10, y=14
Step-by-step explanation:
added in the picture
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
Equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an equation:
2.3p – 10.1 = 6.5p – 4 – 0.01p
Combine like terms:
2.3p – 10.1 = 6.49p – 4
Or in the equation 2.3p – 10.1 = 6.5p – 4 – 0.01p mulitply by 100 on both sides.
We get:
230p – 1010 = 650p – 400 – p
Thus, equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.
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Solve for the value of x:-
7(x+2)=35
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 3 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: 7(x + 2) = 35[/tex]
[tex]\qquad \tt \rightarrow \: 7x + 14 = 35[/tex]
[tex]\qquad \tt \rightarrow \: 7x = 35 - 14[/tex]
[tex]\qquad \tt \rightarrow \: 7x = 21[/tex]
[tex]\qquad \tt \rightarrow \: x = \cfrac{21}{7} [/tex]
[tex]\qquad \tt \rightarrow \: x = 3[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
decimal form of rational numbers 1/11
Answer:
1/11 = 0.090909090909090909........................
For a 70-year-old investor, selling a weak stock at a loss may be (5 points)
O
a smart move to avoid potential additional future losses
® a poor decision, as the stock will most likely come back
an opportunity to buy as many as possible of the same stock
a red flag for the government to penalize that company
When you acquire stock in a firm, you are acquiring a little portion of that company known as a share. The correct option is A.
What are stocks?When you acquire stock in a firm, you are acquiring a little portion of that company known as a share. Investors buy stocks in firms they believe will increase in value. If this occurs, the value of the company's shares rises as well.
For a 70-year-old investor, selling a weak stock at a loss may be a smart move to avoid potential additional future losses.
Hence, the correct option is A.
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Write the sentence as an equation.
253 equals the product of 232 and k
Type a slash ( / ) if you want to use a division sign.
Answer:
253=232×k
Step-by-step explanation:
please mark me as brainlest
Use the figure below to find the answer.
X
Find y.
y=
45
III
7
T
234567890
Answer: [tex]\frac{7\sqrt{2}}{2}[/tex]
Step-by-step explanation:
[tex]\sin 45^{\circ}=\frac{7}{y}\\\\\frac{1}{\sqrt{2}}=\frac{7}{y}\\\\y=\frac{7}{\sqrt{2}}=\boxed{\frac{7\sqrt{2}}{2}}[/tex]
Use the long division method to find the result when 16x³ +24x² + 13x + 3 is
divided by 4x+3
Answer:
4x^2+3x+1
Step-by-step explanation:
4x^2+3x+1 is the answer I hope this helps
Please I need help with this question asap
For the matrix given , the element a₂₃ is the number at 2nd row and 3 column ,which is 6 , Option B is the correct answer.
What is a Matrix ?It is a table or a rectangular array of numbers or expressions arranged in rows and columns ,
For a Matrix of m x n , m is the no. of rows and n is the no. of column
For the matrix given the element a₂₃ is the number at 2nd row and 3 column ,
which is 6 ,
Therefore Option B is the correct answer.
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how much is 20 Pepsi if one Pepsi is sold at the rate of 20 naira
Answer:
Let x= cost of 20 pepsi
so 1 Pepsi = 20 naira
20 = x
x= 20*20
x= 400 naira
Therefore the cost of 20 pepsi is 400 naira
