Given Equation :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]
To Find :
The value of x .Solution :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]
We are to find two numbers such that,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad p \times q = 22 \:}}} \\ \\[/tex]
The two numbers are 2 and 11, so
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + ( - 2x) + 11x - 22 = 0 \:}}} \\ \\[/tex]
Finding common factors :
[tex]{\longrightarrow \pmb{\sf {\qquad {x} (x - 2) + 11(x - 2) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (x - 2)(x + 11) = 0 \:}}} \\ \\[/tex]
Whether, the value of x is :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x - 2) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = 2 \:}}} \\ \\[/tex]
Or, Whether the value of x is :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 11) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = - \: 11 \:}}} \\ \\[/tex]
So,
Therefore the value of x is (-11) or 2.Answer:
A) –11
D) 2
Step-by-step explanation:
Got it right on edge!
What is the domain of the function graphed below?
Answer:
The second option
Step-by-step explanation:
Hello!
The domain of a graph is the interval in which the graph is on the x values.
This graph has all the x values that are greater than or equal to -3, as the graph is to the right of it.
The answer would be the second option: [tex]D : x/x \geq -3[/tex]
The range is the y-values of the graph. The y value of this graph is above 0, so it would be y ≥ 0
Use the equation A = bh to calculate the height of a parallelogram with an area of 36 square inches and a base of 9 inches
Answer:
4 inches
Step-by-step explanation:
A = b x h
A = 36
b = 9
36 = 9 x h
4 = h
height = 4 inches
3w + 4x – 15y + 6w + 7x + 7y
5w + 3y + 9x + 2x - 11y + 4w
7x - 3y + 12w + 5y - 3w + 4x
4w + 3x – y + 5w - 14x - 7y
how many of these are equal?
Answer:
3w, 4x, 4w, 7y, 7x, 3y, 5w,
Step-by-step explanation:
3.
Laura multiplied 27,890 by a fraction with a numerator of 12. The product
was less than 27,890. Which of the following statements is true about the
denominator of Laura's fraction?
Answer:
I don't see any optional answers, but the denominator must be greater than 12.
Step-by-step explanation:
27,890*(12/X) < 27,890
Therefore (12/X) < 1
and X > 12
Pls help pls help !!!!!!!
Find five pairs of integers with a sum of -6
Answer:
-5, -1
-9, 3
5, -11
-8, 2
-18, 12
Step-by-step explanation:
Answer:
_8 2. c. bbx. hx xhdj audiovisual audible Suffolk erudition Ayrshire Ysidro rump sidi ecru his
A stainless steel patio heater is a square pyramid. The length of one side of the base is 19.8 in. The slant height of the pyramid is 93.8 in. What is the height of the pyramid?
“Use distributive property to rewrite each expression.”
3(a + 10)
Answer:
The answer is
3a+30
Step-by-step explanation:
I hope this helped
What is the equation of the line of the graph?
Question 12 options:
y= 2x + 1
y= -x -2
y= x + 2
y= -2x + 1
Answer:
y = x+2
Step-by-step explanation:
y = mx +c
y-intercept is +2
so y = mx + 2
the slope of the line is one across one up so
y = x+2
Answer:
Step-by-step explanation:
At y-intercept, x =0
So, from the graph, y-intecept = b = 2
Equation of the line: y =mx +b
y = mx + 2
Choose any point on the line and substitue in the above equation and we get the slope(m)
(-2 ,0)
0 = m*(-2) + 2
0 = -2m + 2
-2 = -2m
-2/-2 = m
m= 1
Equation of the line: y = x + 2
What scale factor was used to dilate STUV to S’T’U’V?
A. 0.20
B. 0.50
C. 0.25
D. 0.75
Answer: C. 0.25
Step-by-step explanation:
Large Shape: S (-4, 12) T (2, -4) U (6, -8) V (-12, -8)
Small Shape: S (-1, 3) T (0.5, -1) U (1.5, -2) V (-3, -2)
For the smaller shape the distance between V and U is 4.5
For the larger shape the distance between V and U is 18
So when you divide [tex]\frac{4.5}{18}[/tex] you should get 0.25
S: [tex]\frac{-4}{-1}=4[/tex] [tex]-4 *0.25=-1[/tex]
T: [tex]\frac{2}{0.5}=4[/tex] [tex]2*0.25=0.5[/tex]
U: [tex]\frac{6}{1.5}=4[/tex] [tex]6*0.25=1.5[/tex]
V: [tex]\frac{-12}{-3} =4[/tex] [tex]-12*0.25=-3[/tex]
I hope this helps
Use the number line below to determine which of the following answer choices has statements that are all true.
Answer:
1st option, and 4th option
Step-by-step explanation:
Is it select one, or select all that are correct?
Which fractions are equivalent to 1 2 ? Select all that apply. A. 2 4 B. 3 6 C. 3 4 D. 4 8
Answer:
A , B And D
2/4 divide both numbers by to and you get 1/2
3/6 divide both numbers by 3 and you get 1/2
4/8 divide both numbers by 4 and you get 1/2
Xavier and Carlos have a bet to see who can get more “friends” on a social media side after 1 month. Carlos has 10 more friends than Xavier when they start the competition. After much work, Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends.
a. Write a system of equation that matches the verbal description given below if
c = number of Carlos’ friends and x = number of Xavier’s friends.
The system of equations that describes the situation is given by these two following equations:
c = 10 + x.2c + 3x = 160.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are c and x.
Carlos has 10 more friends than Xavier when they start the competition, hence:
c = 10 + x.
Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends, hence:
2c + 3x = 160.
More can be learned about a system of equations at https://brainly.com/question/24342899
Han and Priya want to know the mean height of the 30 students in their dance class. • The mean height for Han’s sample is 59 inches. • The mean height for Priya’s sample is 61 inches.
Answer:
60 inches
Step-by-step explanation:
Add 59+61 =120 which you divide by 2 for the mean of 60.
pls answer i give u anything
Answer:
the first one is 0.5 inches 1.27 centimeters
the second is 0.25 inches or 0.635 centimeters
Step-by-step explanation:
A rectangle has a perimeter of 42 m and a width of 9 m. What is the length in meters.
Answer:
12 meters
Step-by-step explanation:
2x9=18 (get both widths)
42-18=24 (take away widths of 9m)
24/2=12 (divide by 2 to get one length)
You roll a number cube ten times and it lands on a 5 two times. What is the theoretical probability that it lands on a 5 on your next roll?
Answer:
2/10 = 1/5
Step-by-step explanation:
It landed five 2 times and you rolled it 10 times
What is the last step in constructing an angle?
Connect the endpoint and the mark at the angle measure.
Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor
Draw a horizontal ray
Make a mark at the number of degrees you want the angle to be.
The last step to be carried out in a bid to construct an angle using a protractor is; Connect the endpoint and the mark at the angle measure.
How to construct an angleIn a bid to construct an angle by means of a protractor, it follows that a sequence of steps must be carried out. These steps are as ordered below;
Draw a horizontal rayPlace the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractorMake a mark at the number of degrees you want the angle to be.Connect the endpoint and the mark at the angle measure.Read more on angle construction;
https://brainly.com/question/8607612
Answer: For the last step you have to connect the endpoint and the mark
Step-by-step explanation:
Find the value of x.
х
30°
24
Answer:
Step-by-step explanation:
x is the opposite side of angle 30°
34 is the adjacent side of 30°
So, find the value of x, we have use tan
[tex]\bf \boxed{ tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}}}[/tex]
[tex]tan \ 30^\circ = \dfrac{x}{24} \\\\\\0.58 = \dfrac{x}{24}\\\\\\0.58*24=x[/tex]
x = 13.92
please help me I need help please
Answer:
p = 4
Step-by-step explanation:
Given equation:
[tex]x^2+(p-3)y^2-4x+6y-16=0[/tex]
Standard equation of a circle:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius)
If you expand this equation, you will see that the coefficient of [tex]y^2[/tex] is always one.
Therefore, [tex]p-3=1[/tex]
[tex]\implies p=1+3=4[/tex]
Additional information
To rewrite the given equation in the standard form:
[tex]\implies x^2+y^2-4x+6y-16=0[/tex]
[tex]\implies x^2-4x+y^2+6y=16[/tex]
[tex]\implies (x-2)^2-4+(y+3)^2-9=16[/tex]
[tex]\implies (x-2)^2+(y+3)^2=16+4+9[/tex]
[tex]\implies (x-2)^2+(y+3)^2=29[/tex]
So this is a circle with centre (2, -3) and radius √29
what is an equation of the line that passes through the points (6,3) and (-6,1)
Answer: y = [tex]\frac{1}{6}[/tex]x + 2
Step-by-step explanation:
[1] First, we will graph the points given. See the attachment with [1] in the corner.
[2] Next, we will find the slope.
(2a) Using rise over run. See the attachment with [2] in the corner.
(2b) Use the slope equation:
[tex]\displaystyle \frac{1-3}{-6-6}= \frac{-2}{-12} =\frac{1}{6}[/tex]
[3] Find the y-intercept. Look to the graph. See the attachment with [3] in the corner.
This gives us a final answer of y = [tex]\frac{1}{6}[/tex]x + 2
Please help me out! I would also love an explanation on how to find the ratio and the answer
Answer:
A
Step-by-step explanation:
This will have slope in it, so bear with me.
We will use the equation [tex]\frac{y(2) - y(1)}{x(2) - x(1)}[/tex] (keep in mind (2) means second and (1) means first)
Lets fill it out.
[tex]\frac{-4-(-1)}{-4-3}[/tex]
It should be [tex]\frac{-3}{-7} or \frac{3}{7}[/tex]
So it is A
Is anyone good at math and can help me solve my math problems
Answer:
Hi! I'm not too bad at math so I hope I can help you. Except, I can't seem to find your question so please comment your question(s) to me so that I can help you. Have a great day:)
How long does it take for a $5000 investment to turn into a $7000 investment if it is compounded
semi-annually at 5.2%
Answer:
well over 3 years and almost over 4 months
Dr. Smith, a biology professor at Bradford University, has decided to give his classes a standardized biology exam that is nationally normed. This indicates that the normal distribution is an appropriate approximation for the probability distribution of students’ scores on this exam. The probability distribution of students’ scores on this standardized exam can be estimated using the normal distribution shown below.
X
X
Inflection Point
Inflection Point
70
78
86
State the mean of the distribution of the biology exam scores.
State the standard deviation of the distribution of the biology exam scores.
Grading Curve Option I
Originally, Dr. Smith decides to curve his students’ exam grades as follows.
Students whose scores are at or above the percentile will receive an A.
Students whose scores are in the – percentiles will receive a B.
Students whose scores are in the – percentiles will receive a C.
Students whose scores are in the – percentiles will receive a D.
Students whose scores are below the percentile will receive an F.
Find the z-scores that correspond to the following percentiles.
percentile
percentile
percentile
percentile
Using that information, find the exam scores that correspond to the curved grading scale. Assume that the exam scores range from 0 to 100. (Round to the nearest whole number.)
A: –
B: –
C: –
D: –
F:
For inflection Points of
707886The mean and standard deviation are is mathematically given as
x=78
sigma=8
What is Normal distribution?Normal distribution is simply a symmetrical bell-shaped graph that displays the distribution of numerous random variables.
Generally, the equation for the mean is mathematically given as
x=total sum /amount
Therefore
x=70+78+80/3
x=78
In conclusion, Inflexion point for normal distribution is given as
[tex]I=\mu+\sigma\\\\\mu+\sigma=86[/tex]
Also
[tex]\mu-\sigma=70[/tex]
Therefore
[tex]78+\d\sigma=86[/tex]
sigma=8
Read more about mean
https://brainly.com/question/20118982
600 people visited the mall today and 8% of these people made a purchase. How many people made a purchase?
Answer:
48 made a purchase
Step-by-step explanation:
8% of 600
= [tex]\frac{8}{100}[/tex] × 600 ( cancel 100 and 600 by 100 )
= 8 × 6
= 48
Jacob had x apple pies. For each lemon pie sold, 10 more than twice the number of apple pies are sold. If jacob has sold 80 lemon pies, how many apple pies were sold.
A) 70
B) 25
C) 35
D) Not Here
Answer:
C) 35
Step-by-step explanation:
The answer is C because he sold 80 lemon pies and as the question states ten more than twice the number of apple pies were sold .
Subtract 80 by 10 and divide it by 2
80-10=70÷2 = 35
Sarah bought 1250 grams of sugar. how many kilograms of sugar did she buy? A. 1.250 B. 12.50 C. 125.0 D 12500
Answer:
1.25 kg
Explanation:
1 kilograms is equal to 1000 grams============
1 g = (1/1000) kg======
So, 1250 gram = (1250/1000) kg
1250 gram = 1.25 kgWe know
1kg=1000gNow
Mass in kg:-
1250/10001.250kgOption A
look at point C and D on the graph..
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
2.24 units
3.16 units
6.40 units
7.07 units
Answer: 7.07
Step-by-step explanation:
if a1 = 4 and an = -4a n-1 +5 then find value of a5
please help
Answer:
Step-by-step explanation:
a1 = 4
a2 = -5(4)-1 = -21
a3 =-5(-21)-1 = 104
a4 = -5(104)-1 =-521
a5 =-5(-521)-1 = 2604
