Answer:
x=4 && x=1
Step-by-step explanation:
x^2 - x - 4x + 4=0
x(x-1) - 4(x - 1)=0
(x-4)(x-1)=0
X=4 and x=1
All real values of $x$ such that $x²-5x + 4=0$ will be x=4 and x=1.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the quadratic equation is, x²-5x+4=0
Any equation of form ax²+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have to find the value of x as,
x²-5x + 4=0
x² - x - 4x + 4=0
x(x-1) - 4(x - 1)=0
(x-4)(x-1)=0
X=4 and x=1
Thus, all real values of $x$ such that $x²-5x + 4=0$ will be x=4 and x=1.
Learn more about the equation here,
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Question Progress
Homework Progress
4735
The length of a rectangle is twice its width.
The perimeter of the rectangle is 41 cm.
Label the diagram with the correct length and width for the rectangle.
cm
cm
Answer:
Width=6 5/6cm and Length=13 2/3cm
Step-by-step explanation:
Lets have width=x
Therefore, 4x+2x=41cm
6x=41cm
x=41/6=6 5/6
the width is 6 5/6 cm and length 41/3=13 2/3
The equation of a line is given below.
2x + 5y = -5
Find the slope and the y-intercept.
Then use them to graph the line.
Answer:
y=-2/5x-1
Step-by-step explanation:
2x+5y=-5
Step 1: Add-2x to both sides.
2x+5y=-5
+-2 +-2
5y=-2x-5
Step 2: Divide both sides by 5.
5y ÷ 5 = -2x-5÷5
y=-2/5x-1
5. Linda earns $95 per day. If she works of a day, how much will she earn?
Answer:
95 Dollars
Step-by-step explanation:
95 dollars because she earns 95$ per day and it says "of a day" so it would have to be 95*1, and 95*1 is 95 and it asks how much she earns as in money so it is 95 dollars.
Find the following:
sin A
cos A
tan A
cot A
sec A
csc A
Step-by-step explanation:
we use the law of sine :
sin(A)/a = sin(B)/b = sin(C)/c
with the related angles being opposite of the lines.
so, we have
sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =
= 0.316227766...
cos²(A) + sin²(A) = 1
cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =
= 0.948683298...
tan(A) = sin(A)/cos(A) = 0.333333333...
cot(A) = 1/tan(A) = 3
sec(A) = 1/cos(A) = 1.054092553...
csc(A) = 1/sin(A) = 3.16227766...
1. Divide
(7x2 - 13x+4) - (x-1
)
Answer:7 x 2 − 14 x + 5
Step-by-step explanation:
1 In general, given a{x}^{2}+bx+cax
2
+bx+c, the factored form is:
a(x-\frac{-b+\sqrt{{b}^{2}-4ac}}{2a})(x-\frac{-b-\sqrt{{b}^{2}-4ac}}{2a})
a(x−
2a
−b+
b
2
−4ac
)(x−
2a
−b−
b
2
−4ac
)
2 In this case, a=7a=7, b=-14b=−14 and c=5c=5.
7(x-\frac{14+\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})(x-\frac{14-\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})
7(x−
2×7
14+
(−14)
2
−4×7×5
)(x−
2×7
14−
(−14)
2
−4×7×5
)
3 Simplify.
7(x-\frac{14+2\sqrt{14}}{14})(x-\frac{14-2\sqrt{14}}{14})
7(x−
14
14+2
14
)(x−
14
14−2
14
)
4 Factor out the common term 22.
7(x-\frac{2(7+\sqrt{14})}{14})(x-\frac{14-2\sqrt{14}}{14})
7(x−
14
2(7+
14
)
)(x−
14
14−2
14
)
5 Simplify \frac{2(7+\sqrt{14})}{14}
14
2(7+
14
)
to \frac{7+\sqrt{14}}{7}
7
7+
14
.
7(x-\frac{7+\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})
7(x−
7
7+
14
)(x−
14
14−2
14
)
6 Simplify \frac{7+\sqrt{14}}{7}
7
7+
14
to 1+\frac{\sqrt{14}}{7}1+
7
14
.
7(x-(1+\frac{\sqrt{14}}{7}))(x-\frac{14-2\sqrt{14}}{14})
7(x−(1+
7
14
))(x−
14
14−2
14
)
7 Remove parentheses.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})
7(x−1−
7
14
)(x−
14
14−2
14
)
8 Factor out the common term 22.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{2(7-\sqrt{14})}{14})
7(x−1−
7
14
)(x−
14
2(7−
14
)
)
9 Simplify \frac{2(7-\sqrt{14})}{14}
14
2(7−
14
)
to \frac{7-\sqrt{14}}{7}
7
7−
14
.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{7-\sqrt{14}}{7})
7(x−1−
7
14
)(x−
7
7−
14
)
10 Simplify \frac{7-\sqrt{14}}{7}
7 7− 14 to 1-\frac{\sqrt{14}}{7}1− 7 14
7(x-1-\frac{\sqrt{14}}{7})(x-(1-\frac{\sqrt{14}}{7}))
7(x−1− 7 /14 )(x−(1− 7 14 )) 11 Remove parentheses.
7(x-1-\frac{\sqrt{14}}{7})(x-1+\frac{\sqrt{14}}{7})
7(x−1− 7/ 14 .7(x−1+ 7 14 )
84/120 equivalent fraction
Answer:
7/10
this should work
Step-by-step explanation:
On a piece of paper, graph f(x) = 4x. Then determine which answer choice
matches the graph you drew.
Answer:
The Correct Answer is A
Step-by-step explanation:
You are able to put the equation into Desmos Online Graphing Calculator.
When inserting the equation:
[tex]f(x) = 4 {}^{x} [/tex]
You are able to determine that the graph looks like Graph A
I hope this helps and you have a great day!
Note: I am not a professional so take my opinion with caution!
Answer:c
Step-by-step explanation:
Complete the table of values for
1
0
1
1
1
1
1) On the writ, draw the graph of
12
1
0
(0) Use your graph to find
(1)
the value of when x 1.5
(b) the value of x when y6
26
6
Answer:
can't see the pic properly
6) Solve
5x < -10
AX <-2
B) x>-2
CXC-15
D) x < -50
Hey there!
5x < -10
DIVIDE 5 to BOTH SIDES
5x/5 < -10/5
CANCEL out: 5/5 because it gives you 1
KEEP: -10/5 because it helps solve for the x-value
NEW EQUATION: x < -10/5
SIMPLIFY IT!
x < -2
It is an OPEN circle shaded to the RIGHT
Therefore, your answer should be:
Option A. x < -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much is the tip if the rate is 15%
Answer:
its 1.944
Step-by-step explanation:
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.
Shown is a pentagon, with the size of
each angle shown. Work out the largest angle.
Answer:
160°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540
x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is
7x + 50 = 540 ( subtract 50 from both sides )
7x = 490 ( divide both sides by 7 )
x = 70
Then
largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°
The solution is : the largest angle is 150°.
What is the polygon?A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.
here, we have,
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540
x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is
7x + 50 = 540 ( subtract 50 from both sides )
7x = 490 ( divide both sides by 7 )
x = 70
Then
largest angle = 2x + 10
= 2(70) + 10
= 140 + 10
= 150°
Hence, The solution is : the largest angle is 150°.
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Pratima attends dance classes every 6 days, singing
classes every 4 days, and yoga classes every 16 days. If
.
she does all three activities today, in how many days will
she do all the three activities again on the same day?
PLEASE SHOW YOUR WORK
Using the least common factor, it is found that she will do all the three activities again on the same day again in 48 days.
She sings every 4 days.She attends dance classes every 6 days.She has yoga classes every 16 days.To find how many days it takes so that she will do all the three activities again on the same days, we have to find the least common factor of 4, 6 and 16.
It is done factoring them using prime factors, then:
4 - 6 - 16|2
2 - 3 - 8|2
1 - 3 - 4|2
1 - 3 - 2|2
1 - 3 - 1|3
1 - 1 - 1
Hence:
lcm(4,6,8) = 2x2x2x2x3 = 48
She will do all the three activities again on the same day again in 48 days.
To learn more about the least common factor, you can take a look at https://brainly.com/question/25924269
(g, 6) and (-5, -9)
Slope = 3/2
Answer:
g=5
Step-by-step explanation:
(-9)-(6) / (-5)-(g) = 3/2
3 x -(g+5) = 2 x -15
g+5=10
g=5
Answer:
g=15
Step-by-step explanation:
we first can substitute in (-5,-9) into the x and y variables in y=mx+b as well as the slope:
so we get:
-9=3/2(-5)+b
now lets solve for b:
3/2 x -5 = -15/2
-9=-15/2+b
now add the -15/2 on both sides of the eqaution:
b=-33/2
now lets substitute it back in:
y=3/2x-33/2
NOW lol substitute the 6 in to find g:
6=3/2g-33/2
solve from here to get
45/2=3/2g
multiply by 2 on each side
45=3g
divide both sides by 3:
g=15!!!!!!!!!!!!!!
I hope this helped sry it took long lol
A certain music club charges an annual membership fee of $99, in return, its members will be able to buy and download songs at a very low cost of 10 cents each. If Tyna spent a total of $149.30 including the membership fee, how many songs did she buy?
A) 99+10x=149.30
B) 99-10x=149.30
C) 99-0.1x=149.30
D) 0.1x+99=149.30
Answer:
D). 0.1x+99=149.30
How many songs Tyna Bought:
503 songs
Step-by-step explanation:
Since the membership fee is 99 you don't have to pay for it again
(Until next year that is)
Now it states that every download cost 10 cents or $0.1
So we don't know how many she will buy so we can replace that unknown value with x
So the equation is
0.1x+99=149.30
To solve this you first subtract 99 on both sides:
Which will result in
0.1x=50.3
Divide 0.1 on both sides
So Tyna bought 503 songs
(HOLY THAT IS A LOT OF SONGS)
Hope this Helps!
Which model shows the greater rate of change
Answer:
Model B
Step-by-step explanation:
In Model A as x increases by 2 y decreases by 1. So as x increases by 1 y decreases by 0.5 giving us a rate of change of -0.5
In Model B we have a slope of 2/3 (because as x inreases 2 times y increases 3 times)
-0.5 < 2/3
If f(x) = 2x2 + 3x and g(x) = x 2- 7, find (f +g)(x)
Answer:
3x²+3x-7
Step-by-step explanation:
(f+g)(x)=2x²+x²+3x-7
=3x²+3x-7
50 POINTS FOR EACH PERSON PLSSSSS HELP!!!!!
∫[tex]x^{\frac{3}{2} }[/tex]㏑(x) dx
Answer:
Look at images below ^^
Step-by-step explanation:
I'm not sure if they are correct, since I'm not there yet. But I hope it's correct.
Can someone check my answer?? PLEASE-
The length of a rectangle is six more than the width. If the perimeter of the rectangle is 40 ft, find the length of the rectangle.
A. 13 ft (what I think) ****
B. 7 ft
C. 23 ft
D. 17 ft
Answer:
the length of the rectangle is 13 ft.
Step-by-step explanation:
width of a rectangle x ft
length of a rectangle x+6 ft
the perimeter of the rectangle is 40 ft,
2(x+x+6) = 40
2x+6 = 20
2x = 14
x = 7
So the length of the rectangle is x+6 = 7+6 = 13 ft
congrats you're right (≧▽≦)!!
Answer:
The correct answer ia A)13 ft
Step-by-step explanation:
hope this helps
a cookie recipe included 2/3 cups of sugar for 12 cookies, how many cups of sugar will you need if you wanted to make 42 cookies
Answer:10/6 cups of sugar is the answer to this equation being the correct answer.
Step-by-step explanation:
What is the "theoretical yield" of cookies from each of the "reactants?"
Choose the symbol that correctly compares the fractions below.
Answer: A. ( > )
Step-by-step explanation: When you learn fractions, the fraction with the smaller numerator ( the top number) is the greater fraction because it contains more parts of the whole.
PLSSS help now!!!!!! Will mark Brainlyest !!!
Answer:
(7, -4)
Step-by-step explanation:
Rotation 180° causes both coordinates to change sign. It is the same as reflection across the origin, or reflection across both the x- and y-axes.
The image point is (7, -4).
A small toy rocket is launched from a 24-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula
h = - 2t^2+ 2t + 24.
How long will it take the rocket to hit the
ground?
Answer:
4 seconds
Step-by-step explanation:
Since we want to know the time when the height is 0, we can rewrite the problem as [tex]0=-2t^2+2t+24[/tex]. From there, we can plug it into the quadratic formula, which gives us [tex]\frac{-2-\sqrt{4-4(-2)(24)} }{2(-2)}[/tex](Since it's a real-world problem and we have a negative denominator, we won't be using the positive square root). We simplify this to get [tex]\frac{-2-\sqrt{196} }{-4}[/tex], then [tex]\frac{-2-14}{-4}[/tex]. Finally, we can calculate this to be 4 seconds.
Help help math math math
Answer:
10000
Step-by-step explanation:
you have four digits and each one of them can be 0-9, so 10 possibilities for each digit
10×10×10×10= 10,000
Answer:
160
Step-by-step explanation:
I believe the answer is 160 because it is a four-digit passcode, and 10 different numbers can be used ( 10 * 4 = 40, and 40 * 4 = 160).
PLEASE HELP DUE RIGHT NOW!!!
Answer:
linear
Step-by-step explanation:
Hemp help help math math
Answer:
This is not a linear function, as it isn't any function because 3 has two outputs.
Step-by-step explanation:
Explained above
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
the first option
Step-by-step explanation:
The set-up cost for a machine that attaches snaps on clothing is $1,100. After set-up,
it costs $0.12 for each snap to be attached. A newer machine has come out that has
a set-up cost of $1,520. With the new machine, it only costs $0.09 for each snap to
be attached. How many snaps would the company have to attach to make the
purchase of the newer machine worthwhile?
Answer:
14,001
Step-by-step explanation:
old machine: 1,100+.12x
new machine: 1,520+.09x
if you plug in 14,000 for x, you get
old machine: 2,780
new machine: 2,780
therefore, you need 1 over 14,000 for it to be worth it because
if you plug in 14,001 for x, you get
old machine: 2,780.12
new machine: 2,780.09
which makes the new machine $.03 cheaper at this point (and the more snaps attached, the more the new machine will be worth it)
hope this helps!
The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1.
Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. (4 points)
Part B: How many cups of yellow paint should Garcia add to each cup of red paint to make the shade of orange? Explain your reasoning. (4 points)
Part C: If Garcia purchased 6 cups of red paint for $42, what is the unit price per cup of red paint? (2 points)
Pls answer i need help
Answer:
Uggghhh
Step-by-step explanation:
I dont know
Answer:
Part A: Garcia mixed 4 cups of red with 1 cup of yellow.
Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.
Part C: $7
Hope this helps! :)
Step-by-step explanation:
Amy was scheduled for 12 intervals this week. One her first interval, she had a technical issue that prevented her from working for 15 minutes. This issue was reported to a diagnosed by Arise Technical Support, in which they issued an individual Waiver. Amy also looked at her schedule wrong, and computer missed three intervals in a row. What was her CA%
Based on the total of intervals vs the number of intervals Amy attended her CA percentage is 75%
What is the CA percentage?The CA percentage measures the commitment of an employee to be logged in during the intervals that were assigned to him/her to work.
In this way, the CA percentage is equal to 100% if the employee worked as scheduled. Moreover, this percentage can be affected by factors such as:
Technical issues.Human errors.In the case of Amy, there is a total of 12 intervals and it is known:
She had a technical issue that prevented her from working, but this was reported so it is unlikely this is considered in her CA.She missed three intervals because she looked at her schedule wrong.Based on this information, let's calculate her CA:
12 intervals = 100%9 intervals = xx = 9 x 100 / 12x = 900 / 12x = 75%Learn more about percentage in: https://brainly.com/question/8011401
Help help math math math
Answer:
10
Step-by-step explanation:
substitute -8 into x.
f(-8)=-8+18=10
Answer:
10
Step-by-step explanation: