The solution is ± √5
The value of the equation is given by x = ± √5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
x² = 5 be equation (1)
On simplifying the equation , we get
x² = 5
Taking the radical form , radical notation is the usage of a root in an expression, such as the square or cube root
So , taking square roots on both sides of the equation , we get
The value of x = ±√5
Therefore , the value of A is ±√5
Hence , The value of the equation is given by x = ± √5
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What is the value of f(5) if f(3)=10 and the rate of change over the interval 3≤x≤5 is 15?(1 point
f(5)=40
f(5)=20
f(5)=5
f(5)=10
The average rate of change of [tex]f(x)[/tex] over 3 ≤ x ≤ 5 is
[tex]\dfrac{f(5)-f(3)}{5-3}=15[/tex]
Solve for [tex]f(5)[/tex]:
[tex]\dfrac{f(5)-10}2=15[/tex]
[tex]f(5)-10=30[/tex]
[tex]\boxed{f(5)=40}[/tex]
(a) Which of the following expresses the zero product property formally using quantifiers and variables? ∀ real numbers x and y, if xy = 0 then x = 0 and y = 0. ∀ real numbers x and y, if x = 0 and y = 0 then xy = 0. ∀ real numbers x and y, if x = 0 or y = 0 then xy = 0. ∀ real numbers x and y, if xy = 0 then x = 0 or y = 0. (b) Which of the following is the contrapositive of the zero product property? ∀ real numbers x and y, if x ≠ 0 or y ≠ 0 then xy ≠ 0. ∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 or y ≠ 0. ∀ real numbers x and y, if x ≠ 0 and y ≠ 0 then xy ≠ 0. ∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 and y ≠ 0. (c) Which of the following is an informal version (without quantifier symbols or variables) for the contrapositive of the zero product property? For any two real numbers, if at least one of them is nonzero then their product is nonzero. If the product of two real numbers is nonzero, then both numbers are nonzero. If the product of two real numbers is nonzero, then neither number is zero. If neither of two real numbers is zero, then their product is nonzero.
Answer:
A) ∀ real numbers x and y, if xy = 0 then x = 0 or y = 0.
B) ∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 and y ≠ 0.
c) If neither of two real numbers is zero, then their product is nonzero
Step-by-step explanation:
A) Expression of zero product property using quantifiers and variables
∀ real numbers x and y, if xy = 0 then x = 0 or y = 0.
B) Contrapositive of the zero product property
∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 and y ≠ 0.
C) The Informal version (without quantifier symbols or variables) for the contrapositive of the zero product property is : If neither of two real numbers is zero, then their product is nonzero
Can someone help me plzzz
Answer:
"i notice that for every one case they order there's 12 rolls in each case", "I wonder how many rolls is in half a case"
Step-by-step explanation:
thts what i would've put
Determine if the conclusion that follows from the given statements below is valid. If valid which law was used?
1. if a number is a natural number then it is a whole number
2. if a number is a whole number then it is an integer
Conclusion : if a number is a natural number then it is an integer
Answer:
the conclusion is not valid
Answer: The conclusion is valid by the law of syllogism
The law of syllogism follows the basic form:
If P, then Q
If Q, then R
Therefore, if P then R
We can write it like this
[tex]P \to Q \\\\Q \to R\\\\\therefore P \to R[/tex]
We can think of it like starting at town P, moving to Q, then to R. Or we could go from P directly to R if we aren't worried about the town in the middle (town Q).
Help me?? Anyone I'll vote brainliest and everything 5 stars!! :)
Answer: y - 3 = -1/5(x+5)
Step-by-step explanation:
Hope this helps
Find the slope of the line passing
through (2,5) and (-3, -6).
Answer:
the slope of the line passing through the points (2,5) and (-3,-6) is 11/5
Step-by-step explanation:
(y2-y1)/(x2-x1)
(-6-5)/(-3-2)
-11/-5
11/5
The group of points {(0, 1), (0,5), (2, 6), (3, 3)}
is not a function, but the group of points {(1, 4),
(2, 7), (3, 1), (5, 7)} is a function. What do you
notice about the two groups of points? What do
you think it means to be a function?
Answer:
each x point should be mapped to a y point
Step-by-step explanation:
Solve 4x + 10-30
X<5
x>5
X<10
X>10
Answer:
0
Step-by-step explanation:
4x + 10 - 30
4 × 5 + 10 - 30
20 +10 - 30
30 - 30
0
An x-box cost $230 but is discounted 28%. What is the new cost of the x-box?
The new cost of the Xbox is $165.60
1.00 - 0.28 = 0.72
0.72 * 230 = 165.60
3 different numbers which are all equivalent to 10
Answer:
2 4 6
Step-by-step explanation:
Company A charges a $100 annual fee plus a $9/hr car share fee. Company B
charges $120 plus $7/hr. What is the minimum number of hours that a car
share needs to be used per year to make Company B a better deal?
O A. 11
O B. 10
O C. 12
O D. 9
Answer:
A.11
Step-by-step explanation:
i think 11 hours is the minimum number of hours that a car share needs to be used per year because it might also make Company B a more stabilized deal.
Answer:
A, 11
Step-by-step explanation:
Explanation: if you ignore the annual and just multiply both hourly by 10 and add the annually after they are both equivalent to 190 and since B costs less from 11 hours and beyond B will cost less.
why is (4,1) not a solution to the equation y=3x+1
Answer:
When you plug in the coordinate into the equation, the equation becomes false.
Step-by-step explanation:
Step 1: Define
y = 3x + 1
(4, 1)
Step 2: Substitute and Evaluate
1 = 3(4) + 1
1 = 12 + 1
1 ≠ 13
Answer: plus x and y into the formula
Step-by-step explanation:
455 What is the minimum number of square marbles required to tile a floor of length 6 meter 24
cm. and width 4 meter 16 cm?
A. 6
B. 12
C. 14
D. 8
Answer:
6
Step-by-step explanation:
Length of a floor, l = 6 m 24 cm = 624 cm
Breadth of a floor, b = 4 m 16 cm = 416 cm
We need to find the minimum number of square marbles required to tile the floor.
Taking factors of 624 and 416 by prime factorization :
624 = 2 x 2 x 2 x 2 x 3 x 13
416 = 2 x 2 x 2 x 2 x 2 x 13
Their HCF = 208
No of tiles length wise = 624/208 = 3
No of tiles width wise = 416/208 = 2
The minumum no of tiles needed = 3 × 2 = 6
Hence, 6 square tiles are required to tile a floor.
Let f(x)=x2−18 and g(x)=17−x. Perform the composition or operation indicated.
f/g(−8)
Answer:
[tex]2x - 18 \div 17 - x = 2( - 8) - 18 \div 17 - ( - 8) \\ - 16 - 18 \div 17 + 8 \\ = - 34 \div 25[/tex]
Plssssss answer thjs quet
Answer:
I’m. Not really good at math but I think its b
Step-by-step explanation:
Which term gives the horizontal length of one cycle of a periodic function?
O amplitude
O period
O frequency
O phase shift
The period of a function is the horizontal length of one complete cycle. The period may also be described as the distance from one "peak" (max) to the next "peak" (max). This sine curve, y = sin x, has a period of 2π, the horizontal length of one complete cycle.
Answer: B period
Step-by-step explanation:
EDGE 2020
Computisional Science
Answer:
Computational science is a discipline concerned with the design, implementation and use of mathematical models to analyse and solve scientific problems. Typically, the term refers to the use of computers to perform simulations or numerical analysis of a scientific system or process.
Step-by-step explanation:
Which of the following is the correct factorization of the polynomial below 2X squared -16 X +32
Answer:
it depends what you mean but if you taking out the gcf its 2(x^2-8x+16)
but if you mean like quadratic formula its (2x-8)(x-4) and if you wanna do the extra step to symplify that its 2(x-4)(x-4).
Answer:2(x-4)^2
Step-by-step explanation:
If its -26 degree in Canada and 34 degrees in Australia what is the difference in temperature
Answer:
It would be 60 degrees
Step-by-step explanation:
You take the numbers and write the equation 34-(-26) to figure out the difference. You then change the signs, making it 34+26, as before you were subtracting a negative. If you complete that problem, you come to the conclusion of 60.
3.) Find the domain and range for each of the following functions.
help me please i’m stuck, thank you
Answer:
the answer is D. 8
Step-by-step explanation:
2x+14=3x+6
14=x+6
8=x
D
if h(t) = -3t + 6 + 7t, What is h(3)
Answer:
h(3) = 18
Step-by-step explanation:
Step 1: Define
h(t) = -3t + 6 + 7t
h(3) is x = 3
Step 2: Simplify
h(t) = 4t + 6
Step 3: Substitute and Evaluate
h(3) = 4(3) + 6
h(3) = 12 + 6
h(3) = 18
pls help me with this
6(1-4w)=-18
do the distributive property
Answer:
w=1
Step-by-step explanation:
6(1-4w)=-18
(6*1)-(6*4w)=-18
6-24w=-18
-24w=-24
w=1
Will u mark me brainliest plz!!!!???!!!
w=1
Step-by-step explanation:
Step 1: m2m+mZn +mzo = 180 degrees (sum of angles of a triangle)
Step 2: mp +mZo = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, mZm+mZn+mZo=mZn + MZD Step 4: So.mZm+mZn=mZp
In which step did the student first make a mistake and how can i be corrected?
Step 1: it should be mZm+mZnam 2990 degrees (corresponding angles)
Step 1: I should be mm +mZn+mZo = 90 degrees (adjacent angles)
Step 3: t should be mZm+mZnm Zo=mZo-mZp Step 2. n should be mZo-mZo=90 degrees (complementary angles) -
Answer:
mZo == mc+a3/3x + 9b == mZnam
Step-by-step explanation:
Hope i could help :)
Which is the correct answer?
Julio and Kyle hike along the same trail. Kyle hikes the first 6 miles in 2 hours. Who hikes more quickly?
Which lines are perpendicular to the line y – 1 = One-third(x+2)
Answer:
[tex]y-1=-3(x+2)[/tex]
Step-by-step explanation:
The equation of the given line:
[tex]y-1=\frac{1}{3}(x+2)[/tex]
This equation is in the form [tex]y-y_{1}=m(x-x_{1})[/tex]. Therefore, 1/3 is the slope.
To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.
The equation of the perpendicular line: [tex]y-1=-3(x+2)[/tex]
HELPPPPP NOOOWWWW PLEASE Seventh grade has already saved $60 for a field trip to Hersheypark they need to raise at least $720 in order to pay for the trip they decide to sell T-shirts to raise money they earn $12 toward the trip for every t-shirt they sell. Ryan the quality that represents the situation? How many teachers must they sell to earn at least $720?
Answer:
Please explain your question better.
Step-by-step explanation:
60 - 720 = 660
660 divided by 12 = 55
Answer:
60
Step-by-step explanation:
$720 divided by $12 is 60.
I don't think I did this right.
Nope prolly not
IN THE CENTRAL CITY GRAND PRIX, OUT OF 50 CARS THAT STARTED THE RACE, 12
OF THEM FINISHED. WHAT PERCENT OF THE CARS FINISHED THE RACE? WHAT
PERCENT DID NOT FINISH THE RACE?
I need a step by step explanation please !!!
Answer:
24% finished, 76% did not
Step-by-step explanation:
12cars/50 total +24%, and then just subtract 100% by the 24 to get 76% for the remaining percent
Answer:
24% finished and 76% did not
Step-by-step explanation:
you have the ratios:
12/50 and 38/50
These have to be turned into percentages so they need to have a denominator of 100
to do this, figure out what you have to multiply the denominator by to get 100
In this case, 50 times 2 is equivalent to 100.
Then, whatever you multiplied the denominator by, you multiply the numerator by
In this case, 12 times 2 is 24 and 38 times 2 is 76
Once you have the end products, take the numerator and add a percentage sign to it
Chat me if you have anymore questions