Answer:
(x+5) (x+9)
Step-by-step explanation:
In order to the trinomial
x
2
+
14
x
+
45
Begin by finding the factors for the first term
x
2
=
x
⋅
x
Place those factors as the first term in each parenthesis
(
x
_
)
(
x
_
)
Since both signs of the trinomial are positive you will be adding the factors and both signs will be positive.
(
x
+
_
)
(
x
+
_
)
Now determine the factors of the third term
45
=
1
⋅
45
,
3
⋅
15
,
5
⋅
9
We need the factors that will add up to the middle term
14
=
5
+
9
Place these factors as the second term in each of the parenthesis.
(
x
+
5
)
(
x
+
9
)
(x-5)(x-9) is the factored form of the expression x²-14x+45
The given expression is x²-14x+45
x is the variable in the expression
x square minus forteen times of x plus forty five
Plus and minus are operators in the expression
x²-9x-5x+45
Now let factor out the expression
x(x-9)-5(x-9)
(x-5)(x-9)
Hence, the factored form of the expression is (x-5)(x-9)
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A) the quantity in column A is larger
B) the quantity in column B is larger
C) the two quantities are equal
D) relationship cannot be determined with the given information
Answer: A
The number of distinctive prime factors in Column A is 60.
The number of distinctive prime factors in Column B is 30.
This number is 1/2 half more prime factors.
There is 30 more prime factors, so the answer is A.
The quantity in column A is larger than column B.
Two lines are parallel. Which of the following statements are true?
Select two answers that apply.
The lines do not intersect.
The lines have the same slope.
The lines intersect and form 4 right angles.
The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.
Answer:
The lines do not intersect. and The lines have the same slope.
Step-by-step explanation:
The two statements that are true for parallel lines are:
The lines do not intersect.
The lines have the same slope.
Here, we have,
given that,
Two lines are parallel.
we have, given options are:
The lines do not intersect.
The lines have the same slope.
The lines intersect and form 4 right angles.
The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.
now, we know that,
Parallel lines never intersect, and their slopes are equal.
The other two statements, that the lines intersect and form 4 right angles or two pairs of congruent opposite angles (one acute pair and one obtuse pair), are characteristics of perpendicular lines, not parallel lines.
so, we get,
The two statements that are true for parallel lines are:
The lines do not intersect.
The lines have the same slope.
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The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
Answer:
122
Step-by-step explanation:
a=24
C=26
What is the length of b?
Answer:
10
Step-by-step explanation:
you use the Pythagorean theorem which you do 24^2 + b^2 = 26^2 you should have 576+b^2=676 then subtract 576 on both sides b^2=100 then sqre root which leaves you with b=10
The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
Find the test score of the student who joined the class.
Test score =
Answer:
test score of new student = 43
Step-by-step explanation:
28 x 72 = 2016 (total points class scored)
29 x 71 = 2059 (total points class scored after student joined)
2059 - 2016 = 43
The test score of the student who joined the class is 43.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
We have to find the test score of the student who joined the class.
28 x 72 = 2016
29 x 71 = 2059 (total points class scored after student joined)
The difference between 2016 and 2059 is the test score of new student.
2059 - 2016 = 43
Hence, the test score of the student who joined the class is 43.
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Leslie gained 5.54 pounds between her third and fourth birthdays. If she weighed 42.48 pounds when on her fourth birthday, how much did she weigh in pounds on her third birthday? Does this mean to add or subtract? Pick the correct operation and solve ONLY that one.
Answer:
We Subtract
Her weight on her third birthday = 36.94 pounds
Step-by-step explanation:
Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION
Leslie GAINED 5.54 pounds between her third and fourth birthdays.
This means she added weight
She weighed 42.48 pounds on her Fourth birthday
Hence, Her weight in her third birthday is:
Third birthday + 5.54 pounds = 42.48
$42.48
Third birthday = 42.48 - 5.54
= 36.94 pounds
Her weight on her third birthday = 36.94 pounds.
Find x and y in each figure.
Answer:
[tex]by \:alternate \: interiar \: angle \: \\ (8y + 2) + (25y - 20) = 180 \\ 8y + 2 + 25y - 20 = 180 \\ 33y - 18 = 180 \\ 33y = 180 + 18 \\ 33y = 198 \\ y = 6 \\ \\ now \\ by \: \: linear \: pair \: \\ 10x + 8y + 2 = 180 \\ 10x + 48 + 2 = 180 \\ 10x = 180 - 50 \\ 10x = 130 \\ x = 13[/tex]
so finallyX=13and y=6-------------------------Becky needs to choose a new cell phone plan. She has 2 choices. Carolina Cell offers a monthly fee of $20.79 and $2.00 for each gigabyte of data used. Sanford Cell offers a monthly fee of $22.89 and $1.50 for each gigabyte of data used. What is the amount of gigabytes, to the nearest tenth, when both plans would cost the same?
Answer:
4.2 gigabytes
Step-by-step explanation:
To find the answer, you need to write an equation where the cost of Carolina Cell is equal to the cost of Sanford Cell:
20.79+2x=22.89+1.50x, where x is the number of gigabytes used.
Now, you can solve for x:
2x+1.50x=22.89-20.79
0.5x=2.1
x=2.1/0.5
x=4.2
According to this, the answer is that both plans would cost the same when 4.2 gigabytes are used.
Find the function of a graph in vertex form, whose
vertex is (-1,5) and passes through the point (2, -3)
Answer:
y = -⁸/₉(x + 1)² +5Step-by-step explanation:
y = a(x - h)² + k - vertex form of quadratic function with vertex (h, k)
y = a(x - (-1))² + 5 - vertex form of quadratic function with vertex (-1, 5)
y = a(x +1)² + 5
graph goes through (2, -3) so if x=2 then y =-3
-3 = a(2+1)² + 5
-3 -5 = a×3² + 5 - 5
-8 = 9a
a = -⁸/₉
So the equation of the function:
y = -⁸/₉(x + 1)² + 5
A cubic meter (m³) is ________. a cubic centimeter (cm³).
a.equal to
b.smaller than
c.larger than
d.diferent form
Answer:
It would be larger than
Step-by-step explanation: hope this helps
3 to the 7th power time 3 to the -4th
Answer:
3 to the 3rd power
Step-by-step explanation:
simply the following 2m⁵×5m³×7m²
Answer:
[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]
Step-by-step explanation:
Simplify the expression
[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]
Calculate the product of the coefficients:
2*5*7=70
Compute the product of the variables. Since they are all the same letter, sum their exponents:
[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]
Combine the results:
[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]
3x²-75=0 find the square root
Answer:
[tex]x=\pm5[/tex]
Step-by-step explanation:
First, add 75 to each side.
[tex]3x^2-75+75=0+75\\3x^2=75[/tex]
Next, divide each side by 3.
[tex]x^2=25[/tex]
Now, you can take the square root.
[tex]x = \pm\sqrt25}[/tex]
[tex]x=\pm 5[/tex]
Simplify the expression.
7/4÷(3/2)
7/4 ÷ (3/2)
=7/4 × (2/3)
=(7×2)/(4×3)
=14/12
=(14÷2)/(12÷2)
=7/6
=1 1/6
What does the x intercept represent?
Answer:
the x intercept is the y and x combined together crossing each other
a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.
Step-by-step explanation:
20n 20394848484848575
The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.
What is Force?Force is the strength applied on an object with mass to change its state of motion.
The mass of the body is 10kg.
The force applied on the object is 40N.
The time for which the force is applied is 0.5 sec.
The impulse on the body is calculated by,
Impulse = Force * Time
Impulse = 40 * 0.5
Impulse = 20 kg-m/s
The final speed of the body is given by
v = u + at
Assuming the initial speed = 0
v = at
Acceleration = Force / mass
Acceleration = 40/10
a = 4 m/s²
v = 4 * 0.5
v = 2 m/s
The distance covered within the time interval is given by,
s = ut + (1/2) at²
s = (1/2) at²
s = (1/2) 4 * 0.5 *0.5
s = 0.5 m
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Solve for k.
4.5 + 1.5k = 18 - 3k
Answer:
k = 3
Step-by-step explanation:
Given
4.5 + 1.5k = 18 - 3k ( add 3k to both sides )
4.5 + 4.5k = 18 ( subtract 4.5 from both sides )
4.5k = 13.5 ( divide both sides by 4.5 )
k = 3
Answer:
[tex]k=3[/tex]
Step-by-step explanation:
[tex]4.5+1.5k=18-3k[/tex]
Subtract 4.5 to both sides
[tex]15k=13.5-3k[/tex]
Add 3k to both sides
[tex]4.5k=13.5[/tex]
Divide both sides by 4.5 to get k alone
[tex]\frac{4.5k}{4.5} =\frac{13.5}{4.5}[/tex]
[tex]k=3[/tex]
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8) Fill in the chart for each equation.
EQUATION
SLOPE
Y-INTERCEPT I SLOPE
1) y = {x-4
2) y = -9x + 5
Answer:
Equation: y = x - 4
Slope: 1
y-intercept: -4
Equation: y = -9x + 5
Slope: -9
y-intercept: 5
Hope this helps!
3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.
Answer:
$2.14
Step-by-step explanation:
x = price
24x+(x+16) = 53.5
25x+16 = 53.5
25x+53.5
x=53.5/25=2.14
Find the equation of the line that passes through the point (7,-8) and is perpendicular to the line y=1/8x-2
Answer:
y=-8x+48
Step-by-step explanation:
Slope is -8 because perpendicular slopes are negative reciprocals
Plug it in:
-8=7(-8)+b
48=b
plz help me with this ty
Answer: $0.14 per fluid ounce.
Step-by-step explanation: $4.48 divided by 32 = $0.14
What is the value of x?
A)9.4
B)7
C)-9.4
D)-7
Answer:
we need to see the problem
Step-by-step explanation:
try sending a picture
The ratio of the number of adults to the number of students at a field trip has to be 3:8. During a current field trip, there are 190 more students on the trip than there are adults. How many students are attending the field trip? How many adults?
Given :
The ratio of the number of adults to the number of students at a field trip has to be 3:8.
During a current field trip, there are 190 more students on the trip than there are adults.
To Find :
How many students are attending the field trip? How many adults?
Solution :
Let, number of adults are x.
So, number of students are x + 190.
We know :
[tex]\dfrac{x}{x+190}=\dfrac{3}{8}\\\\8x = 3(x+190)\\\\8x -3x = 570\\\\5x = 570\\\\x = 114[/tex]
Number of students are 114 and number of adults are 114+190 = 304.
Hence, this is the required solution.
It takes dariya 35 seconds to download 5 song
Answer:
7 seconds per song?
Step-by-step explanation:
Answer:
I assume you're asking how long it takes to download 1 song, which would be 7 seconds.
Step-by-step explanation:
12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?
Answer:
$4.5
Step-by-step explanation:
I'm gonna do my work on paper.
I'll give brainliest to correct answer
Fill in each blank with a reason that justifies the statement. Given: XY = 36
look at the screenshot
Answer:
[tex]b. \:distributive \: property \: of \: equality \\ c. \: collect \: like \: terms\\ d. \: addition \: property \: of \: equality \\ e. \: division \: property \: of \: equality [/tex]
Evaluate
14
P
- 4 - 2h when p=1 and h=4.
Answer:
Step-by-step explanation:
Putting values into the equation
14(1) - 4 - 2(4)
14 - 4 - 8
10 - 8 = 2
(5b+6)°
(4b-6)°
answer B=
Answer:
B = 10
Step-by-step explanation:
5B + 6 + 4B - 6 = 90
9B + 0 = 90
Therefore, B = 10
Hi purple (I think that was your name) please hopefully you see this I was messing around with this app and I logged out I was logged in with my old school email so now it doesn’t work so I had to make this acc it’s my school new school email please send me the pic of the carnival hw again please.
Answer:
I'm sorry but I don't know how to do function notation. I'm so sorry that I couldn't help you with this.
What is the slope of y=-1/2x+3
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given : A linear equation in two variables is given to us , which is y = -½ + 3 .
To Find : The slope of the line .
Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,
[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]
Where , m is the slope of the line and c is the y - intercept of the line .
Now , on comparing the equation with the standard form , we have :
m ( slope ) = -½ .c ( y - intercept ) = 3 .Hence the slope of the line is -½.