a.
The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.
So, 3x² + 5x - 12 = 0
Substituting x = 4/3, we have
3(4/3)² + 5(4/3) - 12
= 3(16/9) + 20/3 - 12
= 16/3 + (20 - 12 × 3)/3
= 16/3 + (20 - 36)/3
= 16/3 - 16/3
= 0
So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
b.
The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x - 5 = 0
Substituting x = 4/3, we have
x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5
= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5
= 1 + 2√6 + 6 - 2 - 2√6) - 5
= 2√6 + 6 + 1 - 2√6) - 5 - 5
= 2√6 + 7 - 2√6) - 7
= 2√6 - 2√6 + 7 - 7
= 0 + 0
= 0
So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
c.
The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x + 5 = 0
Substituting x = 1 + 2i, we have
x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5
= (1² + 2(2i) + (2i)²) - 2 - 4i + 5
= 1 + 4i - 4 - 2 - 4i + 5
= 4i + 1 - 4 - 2 - 4i + 5
= 4i - 5 - 4i + 5
= 4i - 4i + 5 - 5
= 0 + 0
= 0
So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Learn more about quadratic equations here:
https://brainly.com/question/11982012
Write the equation of the line that passes through (-2, 4) and is perpendicular to x = 3.
Check the picture below.
Use the drop-down menus to complete each statement to show why 5sqrt(7) is between 10 and 15.
Answer:
First drop down: √4 and √9
Second drop down: 2 and 3
Third drop down: 10 and 15
Step-by-step explanation:
the root of four is 2
the root of nine is 3
thus √ 7 is between 2 and 3
5√7 is between 10 and 15 because 2x5 is 10 and 3x5 is 15.
In a raffle 1000 tickets are being sold, at $1 each. The first prize is $100, and there are 3 second prizes of $50 each. How much does the price of the ticket exceed the expected value
Answer:
The price of of the ticket exceeds its value by $ .75
ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15
Answer:
"given figure"
No figure was given.
Step-by-step explanation:
1/8 of a pumpkin pie has 379 calories. How many calories
are in the whole pie?
Answer:
379*8
Step-by-step explanation:
1. 300*8=2400
2.70*8 = 560
3. 9*8=72
3032
help plsss TT ill givee brainly
Answer:
Find the Circumference!
Step-by-step explanation:
Finding the circumferenfe is pretty simple!
On this question, it looks like the diameter is 14!
take the circumference and divide it by 2
14/2
Take the answer and multiply it by PI (3.14).
7 * 3.14 = 21.98
Find the missing number.Write your answer on your answer sheet.
3/5÷2/6= 3/5÷6/2=
[tex] \huge \bf \color{gold} \frac{3}{5} \div \frac{2}{6} = [/tex]
[tex] \tt \frac{3}{5} \times \frac{6}{2} = [/tex]
[tex] \tt \frac{18 \div 2}{10 \div 2} = [/tex]
[tex] \tt \frac{9}{5} = [/tex]
[tex] \boxed {\color{blue}{ 1 \frac{4}{5}}}[/tex]
THE RESULT IS 1 4/5
Answer:
The solution is 9/5 and 1/5
Step-by-step explanation:
3/5÷2/6
= 3/5×6/2
= 3/5×3
= 9/5
3/5÷6/2
= 3/5×2/6
= 3/5×1/3
= 1/5
Which graph represents a proportional relationship?
Answer:
The one shown in the photo
Step-by-step explanation:
A proportional relationship is one in which the relationship increases steadily, which looks like a straight line when graphed. Also, the line should pass through the origin, which is the point (0, 0) on a graph.
The graph shown increases steadily (it's a straight line), and passes through the origin (point 0,0) as well. So, it's proportional. Hopefully that's helpful! :)
plz help asap plzz plllzzzzz
Question
Given that the market basket for gardening was $\$131.17$ last year and $\$131.96$ this year, what was the inflation rate?
(Round your answer to the nearest hundredth of a percent.)
Answer:
0.006%
Step-by-step explanation:
minused old price from the new one and then divided the answer by the old price
Evaluate the expression.
8P2
Answer:
8×100+P×10+2×1
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Can someone help me please I will mark u brilliant
Answer:
6.333... is greater
Step-by-step explanation:
6.3 is larger than 6.2
Answer:
6.33333
Step-by-step explanation:
6.29
6.33333
The 3 is greater than the 2.
Hope this helps :)
PLEASE HELP URGENT
use the graph to solve the equation. the topic is quadratic equations
pic attached with graph & equation
Answer:
3 and-2
Step-by-step explanation:
The point of intersection
Answer:
x=-2, x=3
Step-by-step explanation:
x²-x-6=0
x²-3x+2x-6=0
x(x-3)+2(x-3)=0
(x+2)(x-3)=0
Find the value of a when b = 7 and c = 6 in the formula a=(b+c) - 2.
Answer:
a = 11
Step-by-step explanation:
a = (7+6) - 2
a = 13 - 2
a = 11
65 trees in town park..38 are apple. How many oak
Answer:
27 oak trees
Step-by-step explanation:
15 POINTS!!!! Can someone simplify this as much as possible? ty!
245 = 50 + 1s
Step-by-step explanation:
245=50+1s. /-50
195=1s
s=195
Can someone help plz
Problem 1
The price for one super skateboard is £75.00 which is found in cell C8. When it comes to excel spreadsheets, we always read across the top first before reading the left hand side. So the format is columnRow which may seem strange if you're used to reading the row first.
Right next to cell C8 is D8 and that's the number of super skateboards sold (26 of them). Multiply the unit price by the number of units sold to get the revenue for this particular type of item.
75*26 = 1950
Now the question is: what if the company sells more than 26 skateboards? Let's say there was an error and 30 boards were sold. To quickly recompute the correct answer, we can rely on references rather than hardcoded values.
Typing out [tex]=C8*D8[/tex] will compute the multiplication of items C8 and D8. The equal sign out front is very important. It tells the spreadsheet program that you want to do this type of operation (rather than just write out plain text). If you were to simply type in C8*D8 without the equal sign, then the result is exactly C8*D8 without filling in the variables.
Answer is =C8*D8Don't forget about the equal sign out front
===========================================================
Problem 2
Like before, we'll have an equal sign as the first thing we type in. Then we'll type in Sum(E5:E14) to sum of the values from E5 to E14. You could type in Sum(E5,E6,E7,E8,E9,E10,E11,E12,E13,E14) or you could type in E5+E6+E7+E8+E9+E10+E11+E12+E13+E14; however, that would be a tedious approach prone to error. The spreadsheet program interprets the colon as a way to fill in the gap from start to end. We start at E5 and end at E14, and add up everything in between.
Note that all the cells referenced are the various revenues for each type of item. Each of these cells is computed by multiplying the C and D column items.
Answer is =Sum(E5:E14)Don't forget about the equal sign out front
===========================================================
Problem 3
There are a few other alternatives, but your teacher might be talking about adding each item one at a time. Refer to problem 2 for more info.
Answer is =Sum(E5,E6,E7,E8,E9,E10,E11,E12,E13,E14)Or
Answer is =E5+E6+E7+E8+E9+E10+E11+E12+E13+E14Don't forget about the equal sign out front
===========================================================
Problem 4
Answer: 96 poundsExplanation: Simply pick out the smallest item. The excel command is "min" and you provide it a list of values to pick from. In this case, that list being E5:E14 to represent E5,E6,...,E13,E14. So you'll type in =Min(E5:E14) similar to what you did for the "sum" command.
===========================================================
Problem 5
Answer: 1950 poundsExplanation: As you can probably guess, the "max" function is used here. It picks out the largest value of a list. The command is =Max(E5:E14)
===========================================================
Below I've attached two images. Figure 1 shows the commands to type in, while figure 2 shows the result of each command. In other words, it's the before and after. I used LibreOffice spreadsheet, but this applies to any spreadsheet program as they all tend to follow the same idea.
HEEEEELP!!!!! what are 5 expressions that are equivelent to 8x+16
Answer:
8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)
Step-by-step explanation:
Classify the quadrilateral, Explain your reasoning. Thank you!!
Answer: y=7, x=2
Step-by-step explanation:
∠Q+∠P=180° (∠s between 2 // lines)
97°+(12y-1)°=180°
12y-1=83°
12y=84
y=7
5x+6=8x (Iso triangle)
x=2
18 In the arithmetic sequence 4, 7, 10, 13, the ---BLANK--- is 3.
what is blank
Answer:
I don't understand
Step-by-step explanation:
Like How
hallar una ecuacion de la parabola cuyo foco es (-2,2) y cuya directriz es = -8
The equation of the parabola whose focus is (-2,2) and whose directrix is x= -8 is [tex](y+2)^2=-20(x+5)[/tex]
The standard formula for finding an equation of a parabola is expressed as [tex]y^2=4ax[/tex]
If the curve is shifted to the left and down, the equation becomes [tex](y-k)^2=4a(x-h)[/tex] where:
(h, k) is the vertex of the parabola
If the focus is at (-2, 2) and the directrix is at x = -8, the equivalent vertex of the parabola will be at (-5, -2) and the midpoint between the vertex and directrix is at a = -5
Substitute these values into the formula of the parabola.
[tex](y-k)^2=4a(x-h)\\(y-(-2))^2=4(-5)(x-(-5))\\(y+2)^2=-20(x+5)\\[/tex]
Hence the equation of the parabola whose focus is (-2,2) and whose directrix is x = -8 is [tex](y+2)^2=-20(x+5)[/tex]
Learn more here: https://brainly.com/question/7243813
Steve drives at a constant speed of 59.3 mph. How far should he expect to drive in 7/8 hr?
Answer:
51.9 miles
Step-by-step explanation:
distance = speed * time
d = 59.3 * 7/8
d = 51.8875 miles
rounded
51.9 miles
plz help i only need this question who ever get its right will get 77 point
Answer:
Ok, so I think it's x= 2.5 and y= 306.1 plz forgive me if I'm wrong.
the length of the house is 1,200 feet and 1,100 feet wide. what is the perimiter
Answer:
4,600
Step-by-step explanation:
1,200+1,200+1,100+1,100
Help help help help help
Answer:
1,3
Step-by-step explanation:
1 belongs in the green box because on a graph, you start from the x axis which is the horizontal line. The dot is on top of the 1, so the green box would be 1. On the vertical line, the dot is next to the 3, so 3 would go in the grey box.
Elijan un lugar de su escuela o de su localidad y elaboren un croquis a escala.
Muestren su trabajo a la clase e indiquen qué escala utilizaron.
Answer:
Falta informacion para poderlo realizar ( :
Step-by-step explanation:
Alfred has made 8 cookies to give to his friends. Since he has 15 friends that he wants to give cookies to, how many more cookies does he need to make? Define a variable, write an equation, and solve your equation algebraically. Check your solution.
I wrote notes on this question a while ago
C=cookies to make
C+8=15
C+8-8+15-8
C+0=7
C=7
Check:7+8=15
15=15
a square has an area of 64 square units. if it’s side were only half as long, what would it’s area be??
Answer:
16
Step-by-step explanation:
8x8 is 64, so half of 8 is 4 so 4x4 is 16
As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation.
If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.
There are several types of correlation:
Positive correlation - An increase in one variable leads to an increase in another variable and vice versa Negative correlation - An increase in one variable leads to a decrease in another variable and vice versa Zero correlation - Variables don't change in relation to one anotherIn this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.
In conclusion, what was observed is negative correlation.
Find out more at https://brainly.com/question/10099551.
Pls sove brailest will be given
Answer: 6a3b3
Step-by-step explanation:
Reformatting the input:
Changes made to your input should not affect the solution:
(1): "0.6" was replaced by "(6/10)".
STEP 1:
Equation at the end of step 1
6
0-(((——•(a2))•b)•(0-(2•5ab2)))
10
STEP 2:
3
Simplify —
5
Equation at the end of step 2:
3
0 - (((— • a2) • b) • ( -2•5ab2))
5
STEP 3:
Equation at the end of step 3
3a2
0 - ((——— • b) • ( -2•5ab2))
5
STEP 4:
Multiplying exponential expressions :
4.1 a2 multiplied by a1 = a(2 + 1) = a3
Multiplying exponential expressions :
4.2 b1 multiplied by b2 = b(1 + 2) = b3
Canceling Out:
4.3 Canceling out 5 as it appears on both sides of the fraction line
Equation at the end of step 4:
0 - -6a3b3
STEP 5:
Final result :
6a3b3