Solve these
[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]
Answers
Answer:
hope this will help you more
![Solve These[tex] {x}^{2} - 5x + 6[/tex][tex] {x}^{2} - 11x + 28[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/E73XQKaioOvLIjdLdhbBuM3JLfsGqKZk.jpeg)
Answer:
[tex]x^2-5x+6[/tex]
x = 3, x = 2
[tex]x^2-11x+28[/tex]
x = 7, x = 4
Step-by-step explanation:
One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;
[tex]ax^2+bx+c[/tex]
The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Substitute in each of the terms and solve for the roots in each equation;
[tex]x^2-5x+6[/tex]
Substitute, and solve
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]
[tex]=\frac{5+1}{2}[/tex] [tex]=\frac{5-1}{2}[/tex]
[tex]=3[/tex] [tex]=2[/tex]
[tex]x^2-11x+28[/tex]
Substitute, and solve
[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]
[tex]=\frac{11+\sqrt{9}}{2}[/tex] [tex]=\frac{11-\sqrt{9}}{2}[/tex]
[tex]=\frac{11+3}{2}[/tex] [tex]=\frac{11-3}{2}[/tex]
[tex]=7[/tex] [tex]=4[/tex]
Related Questions
What, if any, was Miguel’s mistake?
Answers
four terms in the sequence an are a3=15, a4=19, a5=23, and a6=27 which function can be used to find the nth term in the sequence
Answers
Answer:
an = 4n + 3
Step-by-step explanation:
Solve the system of equations by graphing.
x + y = -9
4x + y = -19
Answers
Answer:
(3 [tex]\frac{1}{3}[/tex] , 5 [tex]\frac{2}{3}[/tex] )
Step-by-step explanation:
x + y = -9 --> y = -x -9
4x + y = -19 --> y = -4x - 19
Graph accordingly.
What is the value of m?
Om=2
Om=3
Om=15
O m=16
Answers
Answer:
m = 3
Step-by-step explanation:
5m + 1 = 3m + 7
2m = 6
m = 3
The value of m in the figure is 3
From the question, line segments GH and HK are congruent.
So, we have:
GH = HK
Substitute known values
5m + 1 = 3m + 7
Collect like terms
5m - 3m = -1 + 7
Evaluate the like terms
2m = 6
Divide both sides by 2
m = 3
Hence, the value of m in the figure is 3
Read more about quadrilaterals at:
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An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)
Answers
Answer:
Step-by-step explanation:
This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.
x + 1 = 0 so
x = -1
x - 9 = 0 so
x = 9
We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).
Lines A and B are parallel
A
1
2
50° 4
B
5 6
8
mZ2 = [?]°
Answers
Factorize this expression
qr-qs+pr-ps
Answers
Answer:
(q+p)(r-s)
Step-by-step explanation:
qr-qs+pr-ps
q(r-s) + p(r-s)
(q+p)(r-s)
What is the value of x in the equation 6 +4x = 7
Answers
Answer:
x = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
6 + 4x = 7 ( subtract 6 from both sides )
4x = 1 ( divide both sides by 4 )
x = [tex]\frac{1}{4}[/tex]
Answer:
x = 1/4
Step-by-step explanation:
6 +4x = 7
collect terms
4x = 7 - 6
4x = 1
Divide both sides by 4
x = 1/4
Bye ! :-)
the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)
Answers
Answer:
$469.80
Step-by-step explanation:
First, let's find out how many fees would be paid exclusively for renting it out for 14 days.
29.00 * 14 = $406
They have to pay 406 dollars just for having the car for 14 days.
Now let's find out how much will need to paid for driving for 320 km.
We can first take away 100 km because the fee only starts afterwards.
320 - 100 = 220
220 * 0.29 = 63.8
63.80 + 406 = 469.80
Make t the subject of this formula.
r = 7 (t + 3)
Answers
Answer:
t= r-21
7
Step-by-step explanation:
r = 7(t+3)
expanding the bracket
r = 7t + 21
bringing t to the left hand side
7t = r - 21
divide both sides by seven
t= r-21
7
Answer:
t = (r/7) - 3
Step-by-step explanation:
Given equation,
→ r = 7(t + 3)
Now the value of t will be,
→ r = 7(t + 3)
→ r = 7t + 21
→ r - 21 = 7t
→ 7t = r - 21
→ t = (r - 21)/7
→ t = (r/7) - 3
Hence, value of t is (r/7) - 3.
a=v2/rSolve the formula for r.
Answers
Answer:
r =v2 /a
Step-by-step explanation:
a=v2/r
ra=v2
r =v2 /a
Answer:
r = [tex]\frac{v^2}{a}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{v^2}{r}[/tex] ( multiply both sides by r to clear the fraction )
ar = v² ( divide both sides by a )
r = [tex]\frac{v^2}{a}[/tex]
h(x)=-4x-7, when x=3
h( blank)=blank
Answers
Answer:
h(3)=19
Step-by-step explanation:
it's saying x=3 so -4×3 is -12 and -12 -7 is 19 so the answer is 19
Answer:
hope this helps
Step-by-step explanation:
Find the values of q, w, and y in this diagram
Plz help I need this fast
Answers
Answer:
[tex]{ \tt{q = 60 \degree}} \\ \\ { \tt{w = 180 - 60 = 120 \degree}} \\ \\ { \tt{y = 180 - 60 - 70 = 50 \degree}}[/tex]
HELPPP!!! ILL GIVE YOU THE BRAINLIEST IF YOU ANSWER LESS THAN 5 MINS. If APQR - ASTU, which statement must be true?
Answers
Answer:
D.
Step-by-step explanation:
If you look on both triangles, PQ and ST are both and the same spots. (P is in the same spot as S and Q is in the same spot as T.
help asap please thanks
Answers
-pi/4 is the same thing as 7pi/4.
The sine function will get us the y-value we need.
Keep in mind that our y-value will be negative (based on the position of the line), and pi/4 and 3pi/4 will both have positive y-values.
Therefore, the correct expression is sin(7pi/4).
Hope this helps!! :)
The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance between the cities.
Answers
The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. Find the mean, median, and mode. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge?
Answers
Answer:
a) [tex]\=x=36.4inches[/tex]
b) [tex]Median=22[/tex]
c) [tex]Mode=18[/tex]
d) [tex]The\ Mean[/tex]
Step-by-step explanation:
From the question we are told that:
Depths:
18 inches,
20 inches
26 inches
22 inches
85 inches
18 inches
24 inches
Sample size [tex]n=7[/tex]
Summation of all depths
[tex]\sum d=18+20+26+22+85+18+24[/tex]
[tex]\sum d=255[/tex]
a)
Generally the equation for Mean is mathematically given by
[tex]\=x=\frac{\sum d}{n}[/tex]
[tex]\=x=\frac{255}{7}[/tex]
[tex]\=x=36.4inches[/tex]
b)
Generally the Median is given by the Middle Number which is
[tex]Median=22[/tex]
c)
Generally the Mode is given by the Highest occurring Number which is
[tex]Mode=18[/tex]
with two appearances
Therefore
d)
The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is
[tex]The Mean[/tex]
help please
plz plz plz
Answers
Step-by-step explanation:
Here,
y= 2x
and x € (1,2,3)
now,
when x=1 , when x=2 , when x= 3
y=2x y= 2x y=2x
= 2×1 = 2×2 = 2×3
= 2 = 4 = 6
Therefore, y = (2,3,6)
How many miles is her road trip
Answers
She has driven 75 miles per hour for 3 whole hours. To find the miles she has driven multiple the miles per hour and the amount of time she has driven. This is 225.
Then she drove 40 miles per hour for only 1 hour. She only drove 40 miles. Add 225 + 40. This gives you 265 miles.
Answer:
(B). 265 miles
Step-by-step explanation:
She travelled 75 mph for 3 hours and 40 mph for 1 hour.
Therefore, 75 + 75 + 75 + 40 = 265 miles
If this helps you, please mark brainliest!
Can someone help me? It's urgent and thank you!
Answers
Answer:
its c trust me. ive seen some stuff like this before
PLEASE HELP ASAP - ILL GIVE BRAINLEST
GIVE THE WORK FOR IT TP PELASEE!! and 20 points
Answers
Answer:
Step-by-step explanation:
Hope this helps u !!
Which of the following is a quadratic function?
Answers
Answer:
A
Step-by-step explanation:
A
when multiplied out
the highest exponent of x is 2
y = 2x² + x - 6
Answer:
option A
Step-by-step explanation:
A quadratic equation is a single variable polynomial of degree 2.
[tex]A ) y = ( x + 2)(2x-3) = 2x^2 -3x +4x - 6 =2x^2 + x - 6 \ - Yes \\\\B) y = 3(x - 4) \ - No\\\\C) y = \frac{1}{x^2} \ - No\\\\D) y = x(x-4)(x+3) = x(x^2 -x - 12) = x^3 -x^2 - 12x \ - No[/tex]
Name the identical triangles and measurement of side BA
Answers
Step-by-step explanation:
BE/BC=BD/BA
tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.
4/(4 + 10) = 5/(5+X) Cross Multiply
4(5+x) = 5(4+10)m
20 +4x=20 +50 subtract 20 from both sides
4x = 50 divide by 4
x =12.5
A man has twin sons of equal height. The combined
height of the man and one son is 180cm. The
combined height of the man and both sons is
252cm. Twice the man's height added to the height
of one son would be
Answers
Answer:
son weight = 72
Step-by-step explanation:
D + S = 180
D + 2S = 252
S=252-180
S = 72
D= 108
Which conjunction about whole numbers is true?
The sum of two non-zero even numbers is even and less than the addends.
The sum of two non-zero even numbers is even and greater than the addends.
The difference of two non-zero even numbers is odd and less than the larger number.
The difference of two non-zero even numbers is odd and greater than the larger number.
Answers
Answer:
The sum of two non-zero even numbers is even and greater than the addends
Step-by-step explanation:
The solution to the whole number equation is sum of two non-zero even numbers is even and greater than the addends
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
Substituting the values in the equation , we get
Let the first number be p
Let the second number be q
Now , the values of p and q are even
So , when p = 2 and q = 4
The sum of two non-zero even numbers is even and greater than the addends
p + q > q be equation (1)
p + q > p be equation (2)
2 + 4 > 4
2 + 4 > 2
6 > 4 and 6 > 2
Hence , the equation is true and sum of two non-zero even numbers is even and greater than the addends
To learn more about equations click :
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Can someone explain how to do this?
Answers
Answer:
x = 32°
Step-by-step explanation:
The two angles form a straight line, so therefore they are supplementary.
The sum of supplementary angles always equal 180°, so we know that:
(3x - 4) + (3x - 8) = 180°
Now you have the equation, solve for x.
3x - 4 + 3x - 8 = 180°
6x - 12 = 180°
6x = 192°
x = 32°
Answer:
3x-4+3x-8=180
3x+3x=180+4+8
6x=192
x=32
check: 3(32)-4+3(32)-8=180
I ONLY NEED HELP ON THE FIRST QUESTION SHOWN
Answers
write a numerical expression
two hundred fifty-nine mines eighty-five plus sixty-two divided by two
Answers
A candy store owner has 8.32 pounds of jelly beans. If
she puts the jelly beans into 8 jars, how much candy
will go in each jar?
Answers
Answer:
1.04 lbs
Step-by-step explanation:
8.32 lbs / 8 jars=
1.04 lbs per jar
which value of x is in the domain of f (x) =v x-7?
Answers
Answer:
The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \sqrt{x - 7}[/tex]
Domain of the square root function:
The square root does not exist for negative values, so the domain of a square root function:
[tex]g(x) = \sqrt{h(x)}[/tex]
Is [tex]h(x) \geq 0[/tex]
In this question:
[tex]f(x) = \sqrt{x - 7}[/tex]
Then:
[tex]h(x) = x - 7[/tex]
[tex]x - 7 \geq 0[/tex]
[tex]x \geq 7[/tex]
The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]
Answer:
the answer is 8 and x>or equal 7 and the only option greater than 7 is 8
Step-by-step explanation: