Answer:
x=[tex]\sqrt5/2[/tex] , x = -[tex]\sqrt5/2\\[/tex]
Step-by-step explanation:
2x^2-5=0
add 5 to both sides
2x^2-5+5=0+5
2x^2=5
(2x^2/2) = 5/2
x^2=5/2
x=[tex]\sqrt5/2\\[/tex] , x = -[tex]\sqrt5/2[/tex]
To determine the nature of the roots of the quadratic equation y [tex]= 2x^2 - 5[/tex], we can analyze its discriminant (denoted by Δ).
The discriminant is calculated using the formula Δ [tex]= b^2 - 4ac,[/tex] where a, b, and c represent the coefficients of the quadratic equation in the standard form [tex]ax^2 + bx + c = 0.[/tex] For the given equation, a [tex]= 2,[/tex] b [tex]= 0,[/tex]and c [tex]= -5.[/tex]Plugging these values into the discriminant formula, we have: Δ [tex]= 0^2 - 4(2)(-5) Δ = 0 + 40 Δ = 40[/tex]The discriminant is positive, indicating two distinct real roots.
Since the discriminant is greater than zero, we can conclude that the roots of the equation are real and different. Therefore, the nature of the roots for y[tex]= 2x^2 - 5 i[/tex]s that it has two distinct real roots.
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Find the values of x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; top, y degrees; lower right, z degrees. A ray extends the left side of the triangle and the angles labeled y degrees and (3 x plus 5) degrees form a straight angle. Another ray extends the bottom side of the triangle and the angles labeled z degrees and (3 x minus 5) degrees form a straight angle. X degrees y degrees z degrees left parenthesis 3 x plus 5 right parenthesis degrees left parenthesis 3 x minus 5 right parenthesis degrees
Given:
Consider the below figure attached with this question.
Angles of a triangle are x, y and z.
To find:
The values of x, y and z.
Solution:
If two angles are linear pair, then their sum is 180 degrees.
[tex]y+(3x+5)=180[/tex]
[tex]y=180-3x-5[/tex]
[tex]y=175-3x[/tex]
Similarly,
[tex]z+(3x-5)=180[/tex]
[tex]z=180-3x+5[/tex]
[tex]z=185-3x[/tex]
According the the angle sum property, the sum of all angles of a triangle is 180 degrees.
[tex]x+y+z=180[/tex]
[tex]x+(175-3x)+(185-3x)=180[/tex]
[tex]-5x+360=180[/tex]
[tex]-5x=180-360[/tex]
[tex]-5x=-180[/tex]
Divide both sides by -5.
[tex]x=36[/tex]
The value of x is 36.
[tex]y=175-3(36)[/tex]
[tex]y=175-(108)[/tex]
[tex]y=67[/tex]
Now,
[tex]z=185-3(36)[/tex]
[tex]z=185-108[/tex]
[tex]z=77[/tex]
Therefore, the values of x, y and z are 36, 67 and 77 respectively.
Savannah loves to talk on her cell phone. She has $100 in her budget to pay this month’s cell phone bill. Her cell phone plan is $20 per month plus $0.10 per minute of usage. If x represents the minutes of usage, which equation best represents the word problem?
A. 100+20=.10x
B. 100+.10x=20
C. 20 +.10x=100
D. 20-.10x= 100
Answer: C. best fits the word problem.
Step-by-step explanation:
The reason C. best fits is because the bare minimum $20 she has to pay plus .10 times whatever amount of minute's she spends talking has to equal $100 for her to stay in budget. A good example would be say she spends 800 minutes in total on her phone. 0.10 times 800 is 80. So in this hypothetical situation, it would be 20 + 80 = 100.
What are the terms in the expression 7x+4y+1?
A. 7x, 4y, and 1
B. 7 and 4
C. 1
D. x and y
Answer:
D.
x and y are the terms think about the letters in the expression and those are the terms.
I OFFER 100 POINTS AND WHOEVER ANSWERS FIRST WILL BE BRAINLIEST
(SHOW WORK IF YOU CAN PLZ)
For f(X)=1/x-5 and g(X) =x^2+2, find f(g(x)) and (g o f)(6)
152
Find the x of the angle
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So first we will do 180-152 to get the measure of the angle besides the angle. That'll give us 28, then we know that those base angles of this mini triangle are congruent so we will do 28+28 to get 56. Now we will do 180-56 to get the last angle of the triangle, which is 124. And this angle is the same as the angle with x because they are corresponding angles so x is 124°.
There are 20 teachers and 705 students in Corey's school. What is the ratio of teachers to students?
Answer:
4:141
Step-by-step explanation:
first, wright out a ratio with what's given
20(teachers):705(students)
next, simplify the ratio by dividing both sides by the gcf
20: 705
20/5 : 705/5
4 : 141
Write the word form and fraction form of 0.189.
Answer:
Fraction is 189/1000
Word I guess would be point one eight nine
(2x−6)+4(x−3) i need help as fast as possible explain and answer pls
Answer:
6x-18
Step-by-step explanation:
(2x-6) + 4(x-3)
(2x-6) + (4x-12)
2x - 6 + 4x - 12
6x-18
Answer:
6x-18 (simplified)
Step-by-step explanation:
· 100 · (0.7)3. (1 - 0.7)5-3?
TIME REMAINING
01:45:37
Which is the graph of the equation ?
Answer:
Lifting weights. Using resistance bands. Using your body weight for resistance, by doing push-ups, pull-ups, crunches, leg squats or push-ups against a wall. Using weight machines at a gym.
Step-by-step explanation:
Took the test on Edge
Which symbol should go into the box to make the statement true?
|17| |17
Answer: equals 17
Step-by-step explanation:
Answer:
The answer is = for 17 and |17|
Please help me with this question.
Solve for the solution: 2m+1≥7
Answer:
m≥3
Step-by-step explanation:
Answer:
m≥3
Step-by-step explanation:
whats the answer to number 5 please and thank you? please write down the steps
please help
Answer:
67
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
x + 55 = 90 (Right angle triangle)
x = 90 - 55
x = 35
Please mark as brainliest.
HELP ASAP PLEASE . CONVERT TO STANDARD NOTATION
Answer:
0.000425 and 62570000000.
Step-by-step explanation:
Answer:
1) 425000
2) 62.570000
Step-by-step explanation:
There are 5 under the 10.
1) 10 x 10 x 10 x 10 x 10 = 100000
100000 x 4.25 = 45000
2) There are 7 under the 10.
10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000
10000000 x 6.257 = 62.570000.
If you don't understand, count the "0's" and times then by 1 and 0's.
help pleaseeeeee thanks .
is-2 a solution of the inequality -2x+5__> 9 ?
Answer:
Yes
Step-by-step explanation:
-2 plugged into x would give you 4 then 4 + 5 is 9
Which expression uses the associative property to make it
easier to evaluate 6(1/3•7/5)?
A. (6•5/7)1/3
B. (6•1/3)7/5
C.6(7/5•1/3)
D.3(1/6•7/5)
Answer:b
Step-by-step explanation:
The associative property for the expression is (6 • 1/3)7/5.
What are the Properties of Multiplication?Certain rules that are used while multiplying numbers are known as the characteristics of multiplication. All types of mathematical expressions, whether they be algebraic expressions, fractions, or integers, can be solved thanks to these features, which make it simple to simplify expressions.
Given expression 6(1/3 • 7/5),
to write its associative property
The Associative Property of Multiplication states that altering the way the numbers are grouped has no impact on the result of the multiplication.
a(b . c) = (a . b)c
6(1/3 • 7/5) = (6 • 1/3)7/5
Hence correct expression for the property is option B, (6 • 1/3)7/5.
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Algebra, help please ASAP
Answer:
a
Step-by-step explanation:
m*m= m^2
-15*2=-30
-15m+2=-13m
Answer:
a
Step-by-step explanation:
(m-15)(m+2)
3x-2y=10 solve for y
Answer:
y = 3 /2 x − 5
Step-by-step explanation:
It's hard to write out an explanation for this one but you could also plug it into an algebra calculator to check mine and your answer :))
A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal
Answer:
324 calories
Step-by-step explanation:
A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal
The unit rate for calories per cup = calories per cup
3/4 cup serving = 81 calories
3 cups of cereal = x calories
We Cross Multiply
3/4 × x = 81 × 3
x = (81 × 3) ÷ 3/4
x = 243 × 4/3
x = 324 calories per cup
There are 324 calories in 3 cups of cereal
4. Landon is cooking soup. He has 15 pinan of vegetable broth, 19 pints of milk, and 14 pints of tomato juice. How many gallons does Landon have, if 1 gallon = 8 pints? 6 gallons.
Answer:
6 gallons
Step-by-step explanation:
1) add 15 and 19 to get 34
2) then add 34 and 14 to get 48
3) then divide 48 by 8 to get 6
Solve m +1.4 = 0.6.
What does m equal?
Answer:
m=0.8
Step-by-step explanation:
Answer:
0.8
Step-by-step explanation:
1.4-0.6=m
Dovecreek Manufacturing has two facilities that manufacture tents. Each facility produces both the Expedition tent and the
Excursion tent. The daily production labor hours for each department are given in the following two matrices.
Delores Plant
Cortez Plant
Expedition Excursion
Expedition Excursion
Sewing
45
60
Sewing
54
72
(
1
1
Assembly
72
108
Assembly
63
104
Which of the following matrices shows the combined daily labor hours for each department from both facilities?
OA.
99 132
135 167
ОВ.
105 180
126 212
C.
117 168
117 176
99 132
135 212
Answer:
dts on sundar
Step-by-step explanation:
PLS help!!!! I am super confused and I have a test soon.
Gabriella bought 6 7/14 yards
of red fabric and 7 1/7 of
blue. How much cloth did she
buy in all?
Answer:
13 9/14
Step-by-step explanation:
Add the blue + red fabric
1. Make the denominator the same
6 7/14 + 7 2/14
2. Add
6 7/14 + 7 2/14 = 13 9/14
Answer:
13 9/14
Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest
The sales tax rate in the state of New York is 8.875. If you buy a pair of shoes for 56.00, how much tax would you pay?
Answer:
4.97
Step-by-step explanation:
Plz help quick this is due in 10 mins! Are they right? Questions are below!
Answer:
the first question is right the next about the sea level i think would be 7.92 then the last would be the value of x should be greater than or equal to -5
Step-by-step explanation:
Help how do I find the missing sides in this special triangle
Helen has two more than twice the number of Gail's pokemon cards. If you increase the number of Gail's pokemon cards by 10, she will have the same number of pokemon cards as Helen has. How many pokemon cards does Gail have?
Answer:
Gail will have 8 cards before adding those 10, 18 if she added those 10.
Step-by-step explanation:
When Gail has 8 cards then Helen would have 18 cards, whicj is twice more than double that of Gail's.
Answer:over 10
Step-by-step explanation:
Get sticke bugged lol
1.875 ÷ 1.256 ÷ 4.25 ÷ 1.5 =
pls answer fast!!!!!!
Answer:
answer is 0.2341701 your welcome