Answer:
x = - 3, x = - 2
Step-by-step explanation:
Given
x² + 5x + 6 = 0
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 3 and + 2, since
3 × 2 = + 6 and 3 + 2 = + 5, thus
(x + 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
Answer:
x= -2 or -3
Step-by-step explanation:
First, you find the two factors that can replace +5 to enable you to factorize. To do this, you find the factors of +6 and check the factors that when added would give +5.
The factors are +2 and +3
x²+ 5x+6=0
x²+2x+3x+6=0
x(x+2)+3(x+2)=0
(x+2)(x+3)=0
x+2=0 or x+3=0
x= -2 or x= -3
∴x= -2 or -3
Hope this helps!!!
13 Points!
Use a net to find the surface area of the right triangular prism shown below
(Please show/tell an explanation on how you got your answer) :
104 square feet
412 square feet
468 square feet
504 square feet
Answer:
468 square feet; Option C
Step-by-step explanation:
We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:
Area ⇒ 15 * 10 = 150 ft^2
Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:
Area ⇒ 9 * 10 = 90 ft^2
This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2
Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2
This means the surface area of the right, triangular prism is:
150 + 90 + 120 + 108 = Answer: 468 square feet
many graduate schools require applicants to take a certain test those taking the test received three scores a verbal reasoning score a quantitative reasoning score and an analytical writing score in 2013 the average quantitative reasoning score exceeded the average verbal reasoning score by 1.1 points and the average verbal reasoning score exceeded the analytical writing score by 143.2 points the sum of the three average scores was 315.1 what was the average score for each category
Answer:
The average verbal reasoning score: 152.4
The average quantitative reasoning score: 153.5
The analytical writing score: 9.2
Step-by-step explanation:
Let's call A the average verbal reasoning score, B the average quantitative reasoning score and C the analytical writing score.
Then, if the average quantitative reasoning score exceeded the average verbal reasoning score by 1.1 points, we can write the following equation:
B = A + 1.1 (eq. 1)
At the same way, if the average verbal reasoning score exceeded the analytical writing score by 143.2 points, we can write the following equation:
A = C + 143.2 or
C = A - 143.2 (eq. 2)
Finally, the sum of the three average scores was 315.1, so:
A + B + C = 315.1 (eq. 3)
Then, replacing equation 1 and 2 in equation 3:
A + B + C = 315.1
A + (A + 1.1) + (A - 143.1) = 315.1
Solving for A:
A + A + 1.1 + A - 143.2 = 315.1
3A = 315.1 - 1.1 + 143.2
3A = 457.2
A = 152.4
Replacing the value of A in equation 1 and 2:
B = A + 1.1 = 152.4 + 1.1 = 153.5
C = A - 143.2 = 152.4 - 143.2 = 9.2
So, the average score for each category is:
The average verbal reasoning score: 152.4
The average quantitative reasoning score: 153.5
The analytical writing score: 9.2
Which of the following shows the Numbers
arranged in increasing order
Answer:
D
Step-by-step explanation: Plato test
Answer:
C
Step-by-step explanation:
The negative numbers should be the beginning ones because those are less than the positive ones. This eliminates D because it starts with 2/3, which isn't negative. -√3 is between -2 and -1, so it is greater than -5. This means that it should come after -5 in the sequence. The only option we are left with now is C. Hope this helps!
Brian pays £475.29 a year on his car insurance. The insurance company reduces the price by 2.1%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.
Answer:
470.12??? not sure!!!!
Step-by-step explanation:
pls help!! I really need it
Answer:
x> -5
Step-by-step explanation:
The is an open circle at -5 and a line going to the right so it is greater than ( no equals because the circle is open)
x> -5
Answer:
A) x > -5
Step-by-step explanation:
X value is more than negative 5 because you have an open circle at -5 which means value is greater or less but not equal (in our case it is greater) and since the arrow is going towards right (which are the postive values and numbers greater than -5), the answer is A, x>-5
What is the value of b?
36
63
40
75
Help! 7th grade math/ angles.
Answer:
A) 129° B)66°
Step-by-step explanation:
A) A is 129° because the angle is alternate to it.
B) B is 66° because it the angle you would be trying to find would be alternate to that angle, however we do not yet have the angle. To find this angle, we will need to do 180-114 as angles on straight lines add up to 180°. 180-144 is subsequently 66°.
Evaluate for F when C= 20°.
F=9/5C+32
Answer:
work is shown and pictured
The pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas. If the pressure is 6 pounds per square inch when the temperature is find the pressure exerted when the temperature of the gas is
(SHOW WORK)
Answer:
5.18 pounds per square inch
Complete question:
If the pressure is 6 pounds per square inch when the temperature is 440° F,find the pressure exerted when the temperature of the gas is 380°F.
Step-by-step explanation:
According to the Gay Lussac's Law:
[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2}[/tex]
where, P and T are the pressure and temperature of an enclosed ideal gas.
Given:
Initial pressure [tex]P_1[/tex] = 6 pounds per square inch
Initial Temperature [tex]T_1[/tex]=440° F
Final Temperature [tex]T_2[/tex]=380° F
Final Pressure [tex]P_2[/tex]=?
Substituting all values in the formula
[tex]\frac{6}{440} =\frac{P_2}{380}[/tex]
[tex]P_2[/tex] = [tex]\frac{6\times380}{440}[/tex]
[tex]P_2[/tex]= 5.18pounds per square inch
Complete the equation describing how x and y are related. I think the answer is 2?
Answer:
yes, the answer to this question is y=2x
plz.solve this question
I will mark u as brainliest if u are right
Answer:
option is C
Step-by-step explanation:
did u forget me?????
Find the volume of the right pyramid shown below.
Answer:
75 cm
Step-by-step explanation:
I used the formula and my calculator. Hope this helps! if you are still confused please comment!
Answer:
75cm³Step-by-step explanation:
[tex]V= \frac{lwh}{3} = \frac{(5)(5)(9)} {3} =75[/tex]Keisha estimates 259+372 by rounding each number to the nearest 10. What is Keisha's estimate of the sum?
Answer:
630
Step-by-step explanation:
259 rounded to the nearest 10 is 260
372 rounded to the nearest 10 is 370
260+370=630
Hope this helps!
Determine the arc length of AC, where the arc measures 70' and the diameter of the circle is 24 units. Round your answer to the nearest hundredth.
Answer:
AC = 14.65
Step-by-step explanation:
arc length = 2 * pi * R * (theta /360)
= 2 * pi * (24/2) * (70/360)
= 14.65 (ANS)
I need help with this question ASAP please!!!
At Lewisville University, they are looking into how often students
attend football games. Here are the results:
● 45% of students regularly attend football games
● Of those that attend football games regularly, 35% are first-year
students and 64% are upper-class students.
● Of those that do not attend football games, 25% are first-year
students and 34% are upper-class students
What is the approximate probability that a randomly selected person
will be attending the football game given they are an upper-class
student?
Answer:
60.63%
Step-by-step explanation:
Prob. of students who regularly attend = 45%
Prob. of students who don't attend = 55%
Upper Class Students who attend = 64 % of 45 %
= 0.64 × 0.45 × 100 = 28.8% = 0.288
Upper Class Students who don't attend = 34 % of 55% = 0.34 × 0.55 × 100 = 18.7% = 0.187
Total for Upper Class Students = 28.8% + 18.7% = 47.5% = 0.475
Probability that an Upper Class Student randomly selected will be attending = ( 0.288 / 0.475 ) × 100 = 0.6063 × 100 = 60.63%
FAST PLEASE
quadrilateral PQRS is rotates 90 clockwise about the origin to form quadrilateral P’Q’R’S. what is the y-coordinate of point P
Answer:
(-2,-1)
Step-by-step explanation:
(-1,2) ---->> (-2,-1)
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Step 1) Divide up the figure
In this figure, there is a triangle, a small rectangle, and two larger rectangles. The triangle is 6 in x 9 in, the small rectangle is 3 in x 18 in, one of the large rectangles (center) is 8 in x 14 in, and the other large rectangle (bottom) is 5 in x 9 in.
Step 2) Find the area of each shape in the figure
Triangle: A = 1/2 x 6 x 9 = 27
Small rectangle: A = 3 x 18 = 54
Large rectangle (center): A = 8 x 14 = 112
Large rectangle (bottom): A = 5 x 9 = 45
Step 3) Add the area of each shape together
A = 27 + 54 + 112 + 45 = 238 square inches
Hope this helps! :)
Answer:
247 square inches
Step-by-step explanation:
Divided the diagram into a triangle and three rectangles.
The triangle is 6 in * 6 in = 36 square inches
1st rectangle is 4 in * 3 in = 12 square inches
2nd rectangle is 11 in * 14 in = 154 square inches
3rd rectangle is 9 in * 5 in = 45 square inches
Therefore, 36+12+154+45 = 247 square inches
The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.
A) Each point in the data set falls on the regression line.
B) The regression model is an accurate representation of the distance for any number of hours hiked.
C) Each point in the data set is near the regression line.
D) The regression model is inaccurate, as it does not begin at (0, 0).
Answer:
d)
Step-by-step explanation:
it does not begin at 0,0
it is beginning at the 1
Each point in the data set is near the regression line.
Option C is the correct answer.
What is regression?Regression is a statistical method used to analyze the relationship between two or more variables.
It helps to identify and quantify the relationship between the dependent variable (also called the response variable) and one or more independent variables (also called the explanatory variables or predictors).
We have,
Each point in the data set is near the regression line.
This is because the regression line is the line of best fit that minimizes the distance between the line and the actual data points.
While not all points will fall exactly on the line, the fact that they are all relatively close to the line indicates that the line is a good fit for the data.
Option A is not necessarily true for all data sets, and option B is an overgeneralization.
Option D is not necessarily a problem, as a regression line does not always have to pass through the origin.
Thus,
Each point in the data set is near the regression line.
Learn more about regressions here:
https://brainly.com/question/28178214
#SPJ5
PLEASE HELP ANSWER!
is y+7=2x+3y linear or nonlinear?
Answer:
linear
Step-by-step explanation:
its is linear I know this for a fact I had this same question
Will mark as brainliest if correct
the number at the bottom of the exponent is called a power, true or false
Answer:
False.
Step-by-step explanation:
Let's say we had [tex]2^{4}[/tex] we would say 2 to the power of 4.
2 is the base and 4 is the exponent.
Answer:
false
Step-by-step explanation:
the number at the bottom of the exponent is called a base. for example, if your exponent is 2^3, as shown in the image, the 2 would be the base and the 3 would be the power :)
Simplify. 3 – 7 • 5 + 2 • 4 ASAP
Answer:
-40
Step-by-step explanation:
Use PEMDAS
3 – 7 • 5 + 2 • 4
Multiply first:
3-35+8
3-43
-40
Hope this helps! Please mark brainliest :)
Answer:
Step-by-step explanation:
3-7 times 5 + 2
3-35+2
-32+2
-30
What’s the equation of a line??
When the large prism was reduced, the surface area changed by a factor of:
Answer: 16/25
Step-by-step explanation:
Answer:
The answer is 16/25
Step-by-step explanation:
Since the original scale factor was 4/5 then you would need to square four and five in order to get the new scale factor.
When you square 4 you get 16 and when you square 5 you get 25. Therefore the answer should be 16/25.
*I also got it right on the edge quiz
whats 9+10x+8= i need to know
Answer
x = − 17 /10 + I/ 10
( Fraction symbol = /)
What are three ways you can solve a proportion?
Answer:
Vertical.
Horizontal.
Diagonal (often called "cross-products")
Step-by-step explanation:
The number of apples in 15 pound boxes sold at a farm is normally distributed as shown below.
Number of apples in a box
What approximate percentage of boxes have less than 20 apples?
a. 84%
b. 15%
c. 16%
d. 20%
Answer: 16%
Step-by-step explanation:
Answer:
Sample answer from Edm and Plato
Step-by-step explanation:
there are 9800 films on netflix. 11% of the films are romance. how many films are romance?
Answer:
[tex]1078[/tex]
Step-by-step explanation:
[tex]9800 \times \frac{11}{100} = 1078[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
4/7 - -3/5 step by step pls explain
Answer:
41/35
Step-by-step explanation:
Simplify the following:
4/7 + 3/5
Put 4/7 + 3/5 over the common denominator 35. 4/7 + 3/5 = (5×4)/35 + (7×3)/35:
(5×4)/35 + (7×3)/35
5×4 = 20:
20/35 + (7×3)/35
7×3 = 21:
20/35 + 21/35
20/35 + 21/35 = (20 + 21)/35:
(20 + 21)/35
| 2 | 1
+ | 2 | 0
| 4 | 1:
Answer: 41/35
Naruto is choosing between two venues that will deliver food to his house. With probability 1/3 he will choose Ramen Mania (R), and with probability 2/3 he will choose Sushi (S). If he chooses R, 15 minutes after making the call, the remaining time it takes the food to arrive is exponentially distributed with average 10 minutes. If he orders S, 10 minutes after making the call, the time it takes the food to arrive is exponentially distributed with an average of 12 minutes. Given that he has already waited 25 minutes after calling, and the food has not arrived, what is the probability that he ordered from R?
Answer:
39.10%
Step-by-step explanation:
The given timeout distributions are:
Exp (1/10), Exp (1/12)
The equation to use is the following:
F (x) = 1 - e ^ (- a / b); x> 0
So the probability is:
P (food has not arrived after waiting 25 minutes | R) = e ^ (- 10/10) = 0.3679
P (food has not arrived after waiting 25 minutes | S) = e ^ (- 12/15) = 0.2865
So:
P (food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) + (food has not arrived after waiting 25 minutes | S) * P (S)
Replacing:
P (food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 + 0.2865 * 2/3 = 0.3136
However:
P (R | food has not arrived after waiting 25 minutes) = (food has not arrived after waiting 25 minutes | R) * P (R) / P (food has not arrived after waiting 25 minutes)
P (R | food has not arrived after waiting 25 minutes) = 0.3679 * 1/3 / 0.3136 = 0.3910
It means that the probability is 39.10%
Answer:
39.10%
Step-by-step explanation: