The factors of the given model are (x+2) and (x+7)
Given the representation of the model expressed as;
[tex]x^2+9x+14[/tex]
To get the factors, we will factorize the given quadratic function as shown:
[tex]g(x) = x^2+2x+7x+14[/tex]
Group the functions to have;
[tex]g(x) = (x^2+2x) + (7x+14)\\[/tex]
Factor out the GCF from both parenthesis:
[tex]g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)[/tex]
Hence the factors of the given model are (x+2) and (x+7)
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Beatrice graphed the relationship between the time (in seconds) since she sent a print job to the printer and the number of pages printed.
10
10
20
20
30
30
40
40
5
5
10
10
15
15Seconds since sending print jobPages printed
What does the
x
xx-intercept represent in this context?
Choose 1 answer:
Given:
Consider the below figure attached with this question.
To find:
The interpretation for x-intercept in this context.
Solution:
In the given graph x-axis represents the second since sending print job and y-axis represents the Pages printed.
At x-axis the y-coordinate is 0. It means the x-axis represents the number of seconds that passed before the printer started printing pages.
Therefore, the correct option is C.
Answer:
B. The number of seconds that passed before the printer started printing pages
Step-by-step explanation:
Find the slope (m) of the line using the origin, (0,0) and the point (2,8)
Answer:
m=4
Step-by-step explanation:
m = y2 - y1/x2 - x1
(y2=8, y1=0, x2= 2, x1=0)
m = y2 -y1/x2 - x1
= 8 - 0/2 - 0
= 8/2
=4
Mrs. Vacarro sliced a banana into 5 pieces. After eating one slice, she gave ⅘ of the original total to her toddler. After her child was finished, there were ⅖ of the banana slices left. What expression would you use to find out what fractional amount of banana Mrs. Vacarro's toddler ate?
The fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Mrs. Vacarro sliced a banana into 5 pieces.
Number of slices she gave to her toddler = 4/5
Number of slices left after her toddler had finished eating = 2/5
Thus number of slices toddler ate,
⇒ [tex]\frac{4}{5} -\frac{2}{5}[/tex]
⇒ [tex]\frac{4-2}{5}[/tex]
⇒ [tex]\frac{2}{5}[/tex]
Hence we can conclude that the fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.
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Solve for 2. Round to the nearest tenth, if necessary.
X
K
J
63°
1
PLS HELP ME
Answer:
Step-by-step explanation:
The reference angle is given as 63 degrees. The sides in question, x and 1, are adjacent to and opposite of this angle, respectively. The trig ratio that utilizes the sides adjacent to and opposite of angles is the tangent ratio; namely:
[tex]tan(63)=\frac{1}{x}[/tex] and rearrange algebraically to get
[tex]x=\frac{1}{tan(63)}[/tex] to get
x = .5
What is the percent increase each year for the investment?
Answer:
11.5%.
Step-by-step explanation:
Looking at the base of the exponent, it can be seen that it is 1.115. 1.00 is equal to 100% of the investment value each year. There is an additional 0.115, which is equivalent to 11.5%, which represents the increase in the investment value each year.
Therefore, the percent increase each year for the investment is 11.5%.
I’m stuck somebody can help me
Answer:
26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
(g•h)(x) = 2(x²+4)
(g•h)(3)=2(3²+4)
=2(9+4)
=2(13)
=26
x + y = −3
y = 2x + 2
Answer:
Step-by-step explanation:
x + y = −3
y = 2x + 2
Substitute the y value of the second equation into the top equation
x + 2x + 2 = - 3
3x + 2 = - 3
3x = -3 -2
3x = - 5
x = -5/3
x + y = - 3
-5/3 + y = - 3
y = -3 + 5/3
y = -1 1/3
Shinto is serving pizza. He serves 1/5 of the pizza to one friend and 5/12 to another friend. If he had 9/10 of a pizza to start with, how much does he have leftover.
Answer: 17/60
Step-by-step explanation:
Change all of the fractions to have a common denominator:
LCM of 10, 12, 15 is 60
You get 12/60, 25/60, and 54/60.
54/60 is what he had at the start, and so you can just subtract what he gave away
54/60-12/60=42/60
42/60-25/60=17/60
17 is a prime number so you cannot simplify the fraction
Answer:
17/60
Step-by-step explanation:
First we find the LCM of 10, 12, and 5, which is 60.
He started with 54/60.
He gave away 12/60, leaving 42/60.
He gave away another 25/60, leaving 17/60.
He had 17/60 of a pizza left over.
find the missing side.
Answer:
33.4
Step-by-step explanation:
tan50 = x/28
x =28tan50 = 33.3691 = 33.4 (nearest tenth)
Helpless! I need help.
Answer:
0
Step-by-step explanation:
r=5
So
=5⁴-5(5)³-4(5)²+5(5)+75
=5⁴-5(125)-4(25)+5(5)+75
=625-625-100+25+75
=0
write down the first 3 term of each sequence described by the sequence with first term 8 and difference -7
Answer:
8,1,-6
Step-by-step explanation:
8 + (-7)
= 8-7 = 1
1 + (-7) = 1 - 7 = -6
The first three terms are 8, 1,-6
Answered by Gauthmath
what is everything i need to know about bearings?? i suck at them
Answer:
Step-by-step explanation:
bearing is the angle which a line makes with the north.
A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
200 employees.
What is the best way to randomly choose these 200 employees?
Answer: Use employee identification numbers to randomly select 200 employees
Step-by-step explanation:
Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.
From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.
Jenny puts 8 stickers on each page of her note book. She uses 72 stikers in all which equation can be use to find the number of in jennys note book
Answer:
72/8=9 im not sure which it is asking for
Step-by-step explanation:
we know that Jenny has 72 stickers with 8 stickers on each page. so therefore the the 72 stickers have been divided by 8 to fit onto 9 pages.
Answer:
9 pages of stickers
Step-by-step explanation:
72 / 8 = 9 pages of stickers
An electricity post is supported by a 12 m long strut(wire). If the strut makes an angle of 53° with the ground level, how far from the post is the strut attached to the ground?
Step-by-step explanation:
I do hope that you understand through the steps in the attachment, if not kindly reach out!
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
2 QUESTIONS!
Answer:
D and B
Step-by-step explanation:
2) (59.6)/180 * pi=1.04
I NEEDDD HELPPPP ASAPPPP ITS URGENTTT!!!!
Answer:
(x-6)^2+(y-14)^2=4
Step-by-step explanation:
For which of following equations is (-2,-3) not a solution (Will give brainlest plus 33 points)
Answer:
[tex] - 3x = 4y - 6[/tex]
[tex] - 3( - 2) = 4( - 3) - 6[/tex]
[tex]6 = - 12 - 6[/tex]
[tex]6 = - 18[/tex]
For the function determine:
Answer:
answer for number a is 3/2
answer for number b is 6
answer for number c is 8
what does it mean when x is a constant, in a maths equation
Answer: a constant is a fixed number in an expression. For example x+5=9. The constants are 5 and 9 since it’s a fixed number. Since it says x is a constant it means it can only be one answer.
Please ignore what was already selected
Answer: Option 4
CE/DE
Explanation:
Sin = Opposite/Hypotenuse
In triangle DCE the opposite ( angle D ) is CE and the hypotenuse is DE
so sinD = CE/DE
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Match each equation with its solution
PLEASE HELPP ASAP!
Answer:
-5x = 26 is 5.2
x/2 = 4 is -8
3/2x=6 is 4
x/-7.2=4 is 28.8
solve for x.
solve for x.
solve for x.
Answer:
x = 10
Step-by-step explanation:
7(x+1+7)=6(x+5+6)
or, 7(x+8)=6(x+11)
or, 7x+56=6x+66
or, 7x-6x=66-56
or, x=10
Answered by GAUTHMATH
. Tập nghiệm của bất phương trình
1 5
1 1
x x
x x
là:
Answer:
pnj hnu n
126
11
yes ......
....
.
..
x u g
Pythagorean Theorem
The diagram shows square 1, 2, and constructed on the sides of right
triangle
3
1 2
Which statement about the squares must be true?
Option A
We can prove this by a example
Take a pythagorean triplet 3, 4, 5
Now 5 is the hypotenuse
Area 1 = 3^2
= 9
Area 2 = 4^2
=16
Area 3 = 5^2
=25
So 9 + 16 = 5
25 = 25
Therefore its option A
Answered by Gauthmath must click thanks and mark brainliest
The correct relation between these rectangle is (Area of 1) + (Area of 2) = (Area of 3)
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
From the general formula of the area of the square,
Area of 1 = (side of 1st)²
Area of 2 = (side of 2nd)²
Area of 3 = (side of 3rd)²
From the Pythagorean theorem in the given triangle,
(side of 2nd)²+(side of 1st)² = (side of 3rd)²
Thus,
(Area of 1) + (Area of 2) = (Area of 3)
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Evaluate (mm)(x) for x=-3
Step-by-step explanation:
Maybe
(m²)(-3)
-3m²
hope it helps
Find the measure of the indicated angle to the nearest degree.
33
32
Answer:
A= 75°
Step-by-step explanation:
SinA = opposite÷hypoteneous
A = Sin^-1(32÷33). (inverse sin = sin^-1)
A = 75.85
A= 75°
Note: To calculate we use scientific calculater.
Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.
In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.
We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.
The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):
sin(A) = BC / AC
Substituting the given values, we have:
sin(A) = 32 / 33
Using the inverse sine function (sin⁻¹), we can find the value of angle A:
A = sin⁻¹(32 / 33)
Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.
Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.
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ANSWER PLEASE
simplify 2n(n2+2n+3)-3(2n+7) and (-4n2-3n-8)+2(n+9)
Step-by-step explanation:
> 2n³+4²+6n-6n-21
2n³+4n²-21
> -4n²-3n-8+2n+18
-4n²-3n-8+2n+18
-4n²-n-8+18
-4n²-n+10
please prove it
(full steps required)
(No spam answers)
Answer:
Step-by-step explanation:
It's given in the question,
[tex]2^x=3^y=12^z[/tex]
[tex]2^x=12^z[/tex]
[tex]\text{log}2^x}=\text{log}12^z}[/tex]
[tex]x\text{log2}=z\text{log12}[/tex]
[tex]x=\frac{z\text{log}12}{\text{log2}}[/tex]
[tex]3^y=12^z[/tex]
[tex]\text{log}3^y}=\text{log}12^z}[/tex]
[tex]y\text{log}3}=z\text{log}12}[/tex]
[tex]y=\frac{z\text{log12}}{\text{log}3}[/tex]
Now substitute the values in the equation,
[tex]\frac{1}{y}+\frac{2}{y} =\frac{1}{\frac{z\text{log12}}{\text{log}3}}+\frac{2}{\frac{z\text{log}12}{\text{log2}}}[/tex]
[tex]=\frac{\text{log}3}{z\text{log}12}+\frac{2\text{log}2}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}3+\text{log}2^2}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}(3\times 2^2)}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}(12)}{z\text{log}12}[/tex]
[tex]=\frac{1}{z}[/tex]
Hence proved.
Find the sizes of unknown angles.
Grade 7
Geometery-Angles...
Pls answer fast with steps whoever tells right will given brainliest and 5 stars.
Answer:
40,65,75,40,105,35
Step-by-step explanation:
All the x variables form a straight line so
[tex]x + x+ 25 + x + 35 = 180[/tex]
[tex]3x + 60 = 180[/tex]
[tex]3x = 120[/tex]
[tex]x = 40[/tex]
Angle P is vertical to Angle X so
Angle P is equal to Angle X so
[tex]p = 40[/tex]
3q and q is supplementary to both Anlge P and X so this means they must equal 140.
[tex]3q + q = 140[/tex]
[tex]4q = 140[/tex]
[tex]q = 35[/tex]
