Answer:
subtraction property of equality
Step-by-step explanation:
From the Standard form for quadratic equation, it is possible to see that step 1 represents the subtraction property of equality.
Quadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0), the coefficient c is a constant and the degree of the function must be equal to 2.
From the Standard form: ax²+bx+c=0, it is possible to see that step 1:
–c = ax² + b represents the subtraction property of equality.
Read more about a quadratic function here:
brainly.com/question/1497716
2(4+2x)≥5x+5 solve inequality
Answer:
x ≤ 3
Step-by-step explanation:
2(4+2x)≥5x+5
8+4x≥5x+5
4x-5x≥5-8
-x≥-3
x ≤ 3
[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]
For what value of b will f(x) = x^2 + bx + 400 have -20 as its only zero? Record your answer and fill in the bubbles on your answer document.
The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero then the value of b is 40.
The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero
Then x=-20
What is the zero of a polynomial?The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.
x=-20 is the zero of the given polynomial
Therefore it satisfies the given polynomial
[tex]f(-20)=(-20)^2+b(-20)+400[/tex]
[tex]0=400-20b+400\\800-20b=0\\-20b=-800\\b=\frac{-800}{-20} \\b=40[/tex]
Therefore the value of b is 40.
To learn more about the zeros of the polynomials visit:
https://brainly.com/question/12461081
Which of these is an example of a literal equation?
A. 4x + 7 = 22
B. 5+ 20 = 52
C. ax - by = k
D. 2x + 7y
find the sum of the series
√2 - 2 + 2√2 +__+64√2.
Step-by-step explanation:
The question is not clear to me
Solve the qn in attachment .
Answer:
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Step-by-step explanation:
The given expression to us is ,
[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]
Now take the LCM as ( x - 1 ) and Simplify , we have ,
[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]
Simplifying further , we get ,
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Hence the second option is correct.
Answer:
[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1)}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2} \\ \frac{ - 4x + 7}{2(x - 1)} \\ option \: b \: is \: your \: answer \\ thank \: you[/tex]
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What is the
circumference of Earth's equator?
(Hint. Earth's circumference at the equator is equal to the distance that Earth rotates around the equator).
Answer:
The circumference of Earth's equator is 40,080 km.
Step-by-step explanation:
Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:
24 x 1,670 = X
40,080 = X
Therefore, the circumference of Earth's equator is 40,080 km.
Help, someone please lol
Answer:
2x+5x^2=1
2x+5x*5x=1
2x+25x=1
27x=1
1/27=x
Hope This Helps!!!
Answer:
D. 24
Hope it helps!
Two cars started from a point and traveled in opposite directions; each
car has traveled some miles as shown on the number line. Find the
distance between the two cars.
Answer:
Hey, could you please add the number line to the question too
Consider the original parallelogram and the enlargement. A parallelogram has side lengths 5 millimeters and 10 millimeters. A larger parallelogram has side lengths 15 millimeters and B. What is the length of side B in the enlarged parallelogram? 15 mm 30 mm 40 mm 50 mm
Answer:
B=30mm
Step-by-step explanation:
According to the Question,
we have, A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.
The Enlargement Parallelogram And Original Parallelogram Sides Ratio Remain the same.
Therefore, A/C = D/B
5/10 = 15/B
B=150/5
B=30mm
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Answer:
Step-by-step explanation:
If the product of 2 integers is -12, then that equation looks like this:
xy = -12
If the sum of those same 2 integers in 1, then that equation looks like this:
x + y = 1
Let's solve the second equation for x and plug it into the first equation. Solving the second equation for x gives us
x = 1 - y and plug that into the first equation in place of x to get:
(1 - y)y = -12 and
[tex]y-y^2=-12[/tex] Now move everything over to one side and factor to find y:
[tex]-y^2+y+12=0[/tex] and the 2 values for y are
y = -3 and y = 4. Let's see what happens when we solve for x.
If xy = -12 and y is -3:
x(-3) = -12 so
x = 4
If xy = -12 and y is4:
x(4) = -12 so
x = -3
So it looks like the 2 integers are -3 and 4
What is the measure of angle ABC of a circle
Answer:
the angle <ABC is equal to 65°
What is 6 1/3 divied by 1/6
Answer:
38
Step-by-step explanation:
6⅓÷⅙
change 6⅓ to improper fraction
19/3÷1/6
keep the first fraction, change the division sign to multiplication and reciprocate/flip the second fraction
19/3× 6/1
the denominator 3 and numerator 6 will simplify/cancel each other
the new fraction is now: 19/1 × 2/1
there is no need to multiply the denominators because it will still be equal to 1 so we just need to multiply the numerators by each other
19×2=38 OR 38/1 (both answers are the same)
Three consecutive odd integers have a sum of 27. Find the integers.
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Sum of three consecutive odd integers = [tex]27[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The values of the three integers.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
[tex]\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let us assume the three consecutive odd integers to be [tex]x[/tex], [tex](x+2)[/tex] and [tex](x+4)[/tex].
As per the condition, we have
[tex]Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27[/tex]
[tex]➺ \: x + (x + 2) + (x + 4) = 27[/tex]
[tex]➺ \: x + x + 2 + x + 4 = 27[/tex]
Now, collect the like terms.
[tex]➺ \: (x + x + x) + (2 + 4) = 27[/tex]
[tex]➺ \: 3x + 6 = 27[/tex]
[tex]➺ \: 3x = 27 - 6[/tex]
[tex]➺ \: 3x = 21[/tex]
[tex]➺ \: x = \frac{21}{3} \\[/tex]
[tex]➺ \: x = 7[/tex]
Therefore, the three consecutive odd integers whose sum is [tex]27[/tex] are [tex]\boxed{ 7 }[/tex], [tex]\boxed{ 9 }[/tex] and [tex]\boxed{ 11 }[/tex] respectively.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]⇢ 7 + 9 + 11 = 27[/tex]
[tex]⇢ 27 = 27[/tex]
⇢ L. H. S. = R. H. S.
[tex]\sf\blue{Hence\:verified.}[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
Answer:
3
Step-by-step explanation:
We are going to be using cofunction identity cos(90-x)=sin(x).
Apply to either side but not both.
cos(22f − 1) = sin(7f + 4)
sin(90-[22f-1])=sin(7f+4)
90-[22f-1]=7f+4
Distribute
90-22f+1=7f+4
Combine like terms
91-22f=7f+4
Add 22f on both sides
91=29f+4
Subtract 4 on both sides
87=29f
Divide 29 on both sides
3=f
f=3 is between 0 and 90
Answer:
The answer is "3."
Step-by-step explanation:
Just submitted the test and got the answer correct!
Determine the solution on the following equation
Answer:
x = 3
Step-by-step explanation:
Step-by-step explanation:
3(8x-8)/2=64
3(8x-8)=64×2
24x-24=128
24x=128+24
24x=152
24x/24=152/24
x=6.3
PLZ I NEED ANSWER ILL GIVE BRAINLIEST
Answer:
2
Step-by-step explanation:
In an indirect proof, you prove an "if-then" statement is true by assuming the statement is false (stating the inverse or converse), and then disproving the false statement. You want to prove the statement shown below in an indirect proof. What statement should you prove is false?
Statement to Prove True: If a figure has exactly three sides, then it is a triangle.
Statement to Prove False:
Answer:
Step-by-step explanation:
15 years from now Renu will be four times her present age. What is Renu's present age?
Answer:
5 years
Step-by-step explanation:
(x+15)=4x
15=4x-x
15=3x
5=x
2. A rectangle has length 13 and width 10. The length and the width of the rectangle are each
increased by 2. By how much does the area of the rectangle increase? *
50
20
38
35
What is the scale factor from ABC to DEF?
Within similar triangles, the angles are the same. So, we need to look at the side lengths then.
72 to 12
66 to 11
42 to 7
In each pair of corresponding side lengths, the original side length from triangle ABC is divided by 6 (or multiplied by 1/6) to get the smaller side length on triangle DEF.
The scale factor from ABC to DEF is 1/6.
Hope this helps!
Help me please
I will mark you as brainliest
Answer:
In picture
Step-by-step explanation:
Brainliest please~
[tex](0,3)[/tex] and [tex](1,-2)[/tex]
Equation: (refer the image below)
Slope:
[tex]m=\frac{3+2}{0-1}[/tex]
[tex]m=-5[/tex]
Equation:
[tex]y=5x-b[/tex]
[tex]3=b[/tex]
Substitute (0,3)
Point: [tex](1,-2)[/tex]
Question 12 (5 points)
Determine the value of x
0.28 units
0.98 units
3.58 units
1.12 units
Answer:
1.12 Units
Step-by-step explanation:
1. Use cos(56°) = x/2
Make sure your calculator mode is in deg (degree) not rad(radians)
2. 2(cos(56°)) = x
3. x = 1.118385807
4. Round up to get 1.12 Units
O(Q0) A(2,0), B(3, 2) and C(1, 2) are the vertices of quadrilateral OABC. Translate quadrilateral by translation vector [0,2]
Answer:
A'(2,2) B'(3,4) C'(1,4) O'(Q,2)
the quadratic function f(x) = ax² + bx + c has tge minimum point (-2,-9) ans f(-1) = -7 Find (a) values of a,b and c
i'll mark u brainliest pls,help
Hello again,
"katie deleted your answer to the question Hello,a=2, b=8, c=-1Indeed,y=f(x)=ax...
You've been warned"
Answer is a=2, b=8 and c=-1
Indeed:
y=f(x)=ax²+bx+c
Since (-2,-9) is the vertex,
y=k*(x+2)²-9
Or f(-1)=-7 ==> -7=k*(-1+2)²-9 ==> k=2
f(x)=2(x+2)²-9=2*(x²+4x+4)-9=2x²+8x+8-9
f(x)=2x²+8x-1
A proof: the picture is following.
The two
triangles are similar.
What is the value of x?
Enter your answer in the box:
Answer:
x = 5
Step-by-step explanation:
Sides of large triangle: 4x and 15
Corresponding sides of small triangle: 3x + 1 and 12
[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]
[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]
[tex] 16x = 15x + 5 [/tex]
[tex] x = 5 [/tex]
You have job were you are paid (p) $1,000 a month plus $15.00 for every hour (h) you work. You work 150 hrs (h), how much money did you make?
Answer:
15 x 150 = 2250
2250 + 1000 = 3250
you make $3250,00
Please help I will mark brainliest- I already know it’s not the last two- please help!
Answer:
Traversable because it has exactly two odd nodes
Step-by-step explanation:
There is a rule that says it is traversable if it has exactly 2 odd nodes. The are other rule where it can be traversable is if has no odd nodes.
Also if we let the starting point be D and the ending point be B we can travel the network in such way that each edge is only traveled once which is the definition that the network is traversable.
So I will do this by starting at D, then travel to A using the outside edge, then travel to back to D using inside edge, then travel to C, then travel to B, then travel to A using outside edge, and then back to B from A using inside edge.
Solve 2(1 – x) > 2x.
x < 2
x > 0.5
x < 0.5
x > 2
Answer:
x < 0.5
Step-by-step explanation:
Given
2(1 - x) > 2x ( divide both sides by 2 )
1 - x > x ( add x to both sides )
1 > 2x ( divide both sides by 2 )
[tex]\frac{1}{2}[/tex] > x , that is
x < [tex]\frac{1}{2}[/tex] OR x < 0.5
There are five students standing in a line with their hats. Suddenly the wind picks up the hats and randomly assigns each hat to a student. What is the probability that no student will get his or her own hat
Answer:
The probability of a person getting their own hat is 1/5 or 20%.
Step-by-step explanation:
If each person has one hat the chances (the probability) of them getting their own hat would be 20%. The chances (the probability) of them getting a hat that belongs to one of the other four students would be 80%. Due to there being 5 hats each person owns 1 hat so there would be a 1 out of 5 chance of them getting their own hat.
HELP ASAP 10 POINTS AND BRAINLIST AND 5 STAR AND THANKS BUT IF CORRECT
Step-by-step explanation:
hope it helps you..........
Answer:
[tex](\frac{2}{5} )^{3}[/tex] = [tex]\frac{8}{125}[/tex] [tex]cm^{3}[/tex]
Step-by-step explanation:
