Help!!!!!!!!!!! :((((
Answer:
just subtract
Step-by-step explanation:
first go number by number and then subtract them and see the average rate of change and input that number
It is given the quadratic equation (q + 1 )x² - 8x + p = 0,where p and q are constants,has two equal real roots.Express p in terms of q.
Do help meeee!!!
Step-by-step explanation:
answer is in the photo above
Answer:
[tex]\displaystyle p = \frac{16}{q + 1}[/tex].
Step-by-step explanation:
Factor out the coefficient of [tex]x^{2}[/tex]:
[tex]\displaystyle \frac{1}{q + 1}\, [(q + 1)\, x^2 - 8\, x + p] = 0[/tex].
[tex]\displaystyle x^2 - \frac{8}{q + 1} \, x + \frac{p}{q + 1} = 0[/tex].
Let [tex]m[/tex] denote the real root of this equation. By the Factor Theorem, this equation would have the factor [tex](x - m)[/tex] repeated for two times in total:
[tex](x - m)^{2} = 0[/tex].
Expand to obtain: [tex]x^2 - 2\, m\cdot x + m^{2} =0[/tex].
Compare this expression with [tex]\displaystyle x^2 - \frac{8}{q + 1} \, x + \frac{p}{q + 1} = 0[/tex]:
[tex]\displaystyle -\frac{8}{q + 1} = -2\, m[/tex] (for the coefficient of [tex]x[/tex].)
[tex]\displaystyle \frac{p}{q + 1} = m^2[/tex] (for the constant.)
Rewrite the first equation to find an expression for [tex]m[/tex] in terms of [tex]q[/tex]:
[tex]\displaystyle m = \frac{4}{q + 1}[/tex].
Substitute this expression for [tex]m[/tex] into the second equation to find an expression for [tex]p[/tex] in terms of [tex]q[/tex]:
[tex]\displaystyle \frac{p}{q + 1} = m^2[/tex].
[tex]\displaystyle \frac{p}{q + 1} = \frac{4^2}{(q+1)^{2}}[/tex].
[tex]\displaystyle p = \frac{16}{q + 1}[/tex].
Verify that this expression for [tex]p[/tex] satisfies the requirements:
[tex]\displaystyle (q + 1) \, x^{2} - 8\, x + \frac{16}{q + 1} = 0[/tex].
[tex]\displaystyle x^2 - \frac{8}{q + 1} + \frac{16}{(q+1)^2} = 0[/tex].
[tex]\displaystyle x = \frac{4}{q + 1}[/tex] is the (repeated) real root of this quadratic equation.
4. Change 5 hours to minutes.
300 minutes
ОО
30 minutes
3000 minutes
ОО
3 minutes
Answer:
[tex]{ \tt{1 \: hour = 60 \: minutes}} \\ { \tt{5 \: hours = (5 \times 60) \: minutes}} \\ = 300 \: { \bf{minutes}}[/tex]
Pls help 28 pts and brainliest
Answer:
43 units^2
Step-by-step explanation:
Area of a rectangle is
A = l*w
The bottom rectangle is 3 by 11 for an area of 33
The top rectangle is 2 by 5 for an area of 10
Add the areas together
33+10 = 43
Graph the solution set to this inequality.
3x – 11 > 7x + 9
Step-by-step explanation:
Solve the inequality:
[tex]3x - 11 > 7x + 9[/tex]
Rearrange unknown terms to the left side of the equation:
[tex]3x - 7x > 9 + 11[/tex]
Combine like terms:
[tex] - 4x > 9 + 11[/tex]
Calculate the sum or difference:
[tex] - 4x > 20[/tex]
Reduce the greatest common factor for both sides of the inequality:
[tex] - x > 5[/tex]
Divide both sides of the inequality by the coefficient of variable:
[tex]x < - 5[/tex]
2: plot:
[tex]x < - 5[/tex]
Graph on number line:
The solution inequality that represents the solution of the given expression inequality is → x < - 5.
What is inequality? Differentiate between equation and expression? expression inequality : An inequality is used to make unequal comparisons between two expressions or numbers.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the inequality as follows -
3x – 11 > 7x + 9
The inequality is given as -
3x – 11 > 7x + 9
3x > 7x + 9 + 11
3x - 7x > 9 + 11
- 4x > 20
x < - 5
Therefore, the solution inequality that represents the solution of the given expression inequality is → x < - 5.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
pls help pls help pls help pls help
Answer:
The difference is 3 for 4-7, and 39 for 52-91. So basically its a change of 3 for every 4-7 I think this is what you ask for. Let me explain and show results and then pick what you need.
Step-by-step explanation:
So, we know 4 to 7 is 3.
52 to 91 is 39.
So one is a change in 3. the other is a change is 39.
However, could these be the same, just bigger?
Lets divide the 52 to 91 with a change of 39 by 4 to 7 with a change of 3:
52/4 to 91/7 with a change of 39/3 =
13 to 13 with a change of 13.
So this tells us that the 52 to 91 with a chang eof 3 is 13 times bigger than 4 to 7 with a change of 3.
Hope this helps!
PLEASE ANSWER ASAP!!!
Answer:
False
Step-by-step explanation:
Step-by-step explanation:
YOU ARE CORRECT
[tex] {7}^{(1 \times 9)} = {7}^{5 + 5} \\ {7}^{9} \: \: \: \: \: \: \: \: \: \: \: {7}^{10} [/tex]
the equation is false
Anybody know the answer ?
Answer:
The final speed after collision of the first ball that weighs 4 kg will be 8.5 m/s.
Step-by-step explanation:
M1 = 4
M2 = 2
V1 = 8
V2 = 6
V2f = 5
V1f = ?
Rep. Situation with Momentum formula:
M1*V1+M2*V2 = M1*V1f+M2*V2f
Rearrange:
((M1*V1+M2*V2)-M2*V2f) / M1 = V1f
Calculate:
((44) - 10) / 4 = V1f
V1f = 8.5
Learn with an example
A line that includes the point (1, 2) has a slope of 9. What is its equation in slope-intercept
form?
Answer:
y = 9x + (-7) should be the answer
Factor this trinomial completely. 2x2 + 6x + 4 O
A. 2(x-2)(x + 1)
B. 2(x + 2)(x+1)
c. 2(x + 2)(x-1)
D. 2(x-2)(x - 1)
Answer:
B. 2(x+2)(x+1)
Step-by-step explanation:
[tex]\sf\purple{B. \:2(x + 2)(x+1) }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 6x + 4[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 3x + 2) \\ =2 \: ( {x}^{2} + 2x + x + 2)[/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] = 2 \:[x(x + 2) + 1(x + 2)][/tex]
Taking the factor [tex](x+2)[/tex] as common,
[tex] = 2(x + 2)(x + 1)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Cedric sends text messages at a constant rate of 5 messages per 1 hour. What equation would be used to represent this situation?
Answer:
...........................I would be I don't know
The perimeter of a square is 56 cm. What is the Area of the square in square centimeters?
Answer:
[tex]{ \tt{let \: one \: side \: be \: s}} \\ { \bf{perimeter = 4s}} \\ 56 = 4s \\ s = \frac{56}{4} \\ { \tt{s = 14 \: cm}} \\ \\ { \bf{area = {s}^{2} }} \\ = {14}^{2} \\ { \boxed{ \tt{area = 196 \: {cm}^{2} }}}[/tex]
Answer:
A =196 cm^2
Step-by-step explanation:
The perimeter of a square is
P = 4s where s is the side length
56 = 4s
Divide by 4
56/4 = 4s/4
14 =s
The area is given by
A =s^2
A =14^2
A =196 cm^2
Slope intercept, only need help on number 3. HELP NEEDED ASAP, NO LINKS
Answer:
2) slope=2
y intervept=2
3) slope=1/2
y intercept=-6
4)slope=2
y intercept=4
help asap please, will mark brainliest
Answer:
24 cm
Step-by-step explanation:
Answer:
24cm
Step-by-step explanation:
V= 4/3πr³
or, r³= 3/4π ×V= 3/4π× 18432π= 13824
or, r= (13824)^1/3= 24cm
4+2(x–4)=–7(x+7)
....Whats the answer? NEEDED ASAP
Answer:
-5
Step-by-step explanation:
4+2(x-4) = -7(x+7)
First, work out parenthesis: 4+ 2x-8 = -7x -49
Combine like terms: 2x-4= -7x-49
now isolate x by first adding 49 to each side: 2x+45= -7x
Then subtract 2x from each side: 45= -9x
Last, divide both sides by -9:
x= -5
Answer:
The answer is negative five or -5.
Step-by-step explanation:
First, you need to distribute your equation and at the end, the -4 should be just 2x - 8.
Second, subtract the numbers 4 and -8, which will equal to -4.
Third, rearrange your terms. Those terms would be -4 + 2x, so it should be 2x - 4.
Fourth, distribute again but with -7(x + 7) and you should get -7x - 49.
Fifth, add four to both sides of your equation. It should be like 2x - 4 + 4 = -7x - 49 + 4.
Sixth, add the numbers for the both sides. Therefore, you have 2x = -7x - 45.
Seventh, add 7x to both sides of the equation. You add it to 2x and -7x - 45 + 7x.
Eighth, simplify by combining like terms which you get 9x = -45.
Ninth, divide both of the sides of your equation by the same term. Your number to use when diving is 9.
Tenth, simplify but cancel terms that are both the numerator and denominator. Then you divide the numbers and get -5.
g(x)= -16x2 + 64x + 80 where x is the number of seconds after the rocket is launched. The function can also be written in factored form as g(x) = -16 (x + 1)(x - 5). What is the y-intercept of the function? What does it represent?
Answer:
y=80
Step-by-step explanation:
when solve y-intercept let x=0
y= -16(0)2+64(0)+80
y=0+0+80
y=80
(0;80)
Una caja en forma de prisma rectangular tiene 10cm3 de volumen.Si la longitud de cada arista se multiplica por 4, ¿cual sera el volumen de la caja?
-1/2(-3/2x + 6x + 1) - 3x what is the equivalent expression
Answer:
Step-by-step explanation:
Apply the Distributive Property of Multiplication. Multiply each of the three terms inside parentheses by -(1/2):
(3/4)x - 3x - (1/2) - 3x, or
(3/4)x - 6x - 1/2
The first two terms can be combined, to obtain:
(-5 1/4)x - 1/2, or (-21/4)x - 1/2
contain 50 cards each card there's only one number from 1 to 50 one card is drawn at random the bag write the sample space also at the event A and B find the number of sample points in them. condition for event a the number on the card is divisible by 6 condition on event be the number on the card is complete square
Answer:
S = {1, 2, 3, . . . 49, 50}, n(S) = 50 (i) Condition for event A : number is divisible by 6. A = {6, 12, 18, 24, 30, 36, 42, 48} n(A) = 8 (ii) Condition for event B : the number on the card is a complete square. B = {1, 4, 9, 16, 25, 36, 49} n(B)
Step-by-step explanation:
100%SURE
FOLLOW ME
MARK ME AS BRAINLIEST
#CARRYONLEARNING
Find the common ratio of the geometric sequence -13, 117, -1053,...
Answer:
-9
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous number:
117/-13
= -9
So, the common ratio is -9.
what is the standard deviation and variance of 10, 10, 10, 10, 13, 20, 23, 32, 32, 32, 32, 47, 50, 53, 60, 60, 63, 72, 72, 72, 72, 80, 82, 91, 93, 99. show solution
Answer:
bro/sis through this solution u can solve ur values
Step-by-step explanation:
To calculate the variance, you first subtract the mean from each number and then square the results to find the squared differences. You then find the average of those squared differences. The result is the variance. The standard deviation is a measure of how spread out the numbers in a distribution are.
I hope this will help you
Factor the expression x^2 +3x-10
Answer:
(x+5)(x-2)
Step-by-step explanation:
x^2 +3x-10
What two numbers multiply to -10 and add to 3
5*-2 = -10
5+-2 = 3
(x+5)(x-2)
Eight cards are labeled with numbers 2,3,4,5,7,9,10,11 respectively. One card is selected. What is the probability that the card is a prime number?
Answer:
62.5
Step-by-step explanation:
Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5
can somebody help me giving brainlets
Answer:
It's actually 13 groups
4 students will be left over
Step-by-step explanation:
Add all the students together
134
Divide 10
13 and remainder 4
Answer:
13 ; 4
Step-by-step explanation:
Total students = 24 + 21 + 33 + 36 + 20 = 134
grups that will be made = 134 : 10 = 13,4 = 13
13 x 10 = 130
Students that will be left overs = 134 - 130 = 4
Brainliest, 26 points
Jenna picked x amount of oranges. Josh picked twice as many oranges as Jenna, less 3. How many more oranges did Josh pick than Jenna?
3x -3
2x -3
x - 3
3x
Answer:
x - 3
Step-by-step explanation:
Jenna picked x.
Josh picked 2x - 3.
The difference is:
2x - 3 - x
which simplifies to
x - 3
Answer: x - 3
a 20 foot ladder leans against a building. if the ladder is 8 feet from the building, find to the nearest degree, the measure of the angle that the foot of the ladder makes with the ground
Answer:
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos theta = 8/20
cos theta = 2/5
Taking the inverse cos of each side
cos^-1 (cos theta) = cos ^-1 ( 2/5)
theta =66.42182152
To the nearest degree
theta = 66 degrees
What is the slope of the line 3x -9y =4?
Answer:
1/3
Step-by-step explanation:
3x -9y =4
To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
Subtract 3x from each side
-9y = -3x+4
Divide each side by -9
-9y/-9 = -3x/-9 +4/-9
y = 1/3x -4/9
The slope is 1/3 and the y intercept is -4/9
Here,
3x -9y =4
To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
Subtract 3x from each side
-9y = -3x+4
Divide each side by -9
-9y/-9 = -3x/-9 +4/-9
y = 1/3x -4/9
The slope is 1/3 and the y intercept is -4/9
[tex] \\ [/tex]
factorise fully p^3 + p^2
Answer:
[tex]\huge\boxed{p^3+p^2=p^2(p+1)}[/tex]
Step-by-step explanation:
[tex]p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)[/tex]
Used:
[tex]a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac[/tex]
find the area of the triangle
I just need to know the angle
Answer: B. DBC
Step-by-step explanation:
Answer: [tex]\angle DBC[/tex] (choice b)
================================================
Explanation:
When naming any angle, you need 3 points. The middle point is the vertex of the angle. The other two points can be in any order as long as they are on the lines or rays that we want.
We go for angle DBC, which we can write as [tex]\angle DBC[/tex], since B is at the vertex and points D and C are on either side of the vertex.
Angle ABD is adjacent to the marked angle, but it's not what we're after.
Angle BDC isn't drawn, so we cross this off the list as well.
Saying [tex]\angle B[/tex] is too vague in this context because it could mean either [tex]\angle ABD[/tex] or it could mean [tex]\angle DBC[/tex] since they both share the same vertex B.
