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▹ Answer
x₁ = -5
x₂ = 7
▹ Step-by-Step Explanation
x² - 2x - 35 = 0
x² + 5x - 7x - 35 = 0
x(x + 5) - 7x - 35 = 0
x(x + 5) - 7(x + 5) = 0
(x + 5)(x - 7) = 0
x + 5 = 0 → 0 - 5 = -5
x - 7 = 0 → 0 + 7 = 7
x₁ = -5
x₂ = 7
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
X = -5 X = 7Step-by-step explanation:
[tex] {x}^{2} - 2x - 35 = 0[/tex]
Write -2x as a difference
[tex] {x}^{2} + 5x - 7x - 35 = 0[/tex]
Factor out X from the expression
[tex]x(x + 5) - 7x - 35 = 0[/tex]
Factor out -7 from the expression
[tex]x(x + 5) - 7(x + 5) = 0[/tex]
Factor out x+5 from the expression
[tex](x + 5)(x - 7) = 0[/tex]
When the product of factors equals to 0, at least one factor is 0
[tex]x + 5 = 0[/tex]
[tex]x - 7 = 0[/tex]
Either,
[tex]x + 5 = 0[/tex]
[tex]x = 0 - 5[/tex]
[tex]x = - 5[/tex]
Or,
[tex]x - 7 = 0[/tex]
[tex]x = 0 + 7[/tex]
[tex]x = 7[/tex]
Hope this helps...
Best regards!!
Mr.Chang needs to ship 8 boxes of cookies in a packing carton. Each box is a tight rectangular prism 8 inches long, 5 inches wide, and 3 inches high. What is the volume in cubic inches, of each box?
Answer:
120 inches cubed
Step-by-step explanation:
The formula for finding the volume of a rectangular prism is length * width * height.
In this case, 8 inches long is the length, 5 inches is the width, and 3 inches is the height.
So multiplying all of those together gets you 120 inches cubed.
Graph the line y=-1/3x+2
Answer:
Graphed below.
Step-by-step explanation:
The slope of the line is -1/3.
The y-intercept is at (0, 2).
The x-intercept is at (6, 0).
Find the value of x. Give reasons to justify your solution. AB ∥ EC
Answer:
27°
Step-by-step explanation:
Let line AB be extended to touch line DC at point F, thereby forming triangle BCF.
∠ABC + ∠BCE = 180° (sum of interior angles in a transversal).
∠ABC + 48 = 180
∠ABC = 180 - 48 = 132°
Also in triangle ADF, ∠ADF + ∠DFA + ∠FAD = 180 (sum of angle in a straight line)
85 + ∠DFA + 25 = 180
∠DFA + 110 = 180
∠DFA = 180 - 110 = 70
∠DFA = 70
∠DFA + ∠BFC = 180° (sum of angle on a straight line)
∠BFC + 70 = 180
∠BFC = 180-70 = 110
∠BFC = 110°
∠ABC + ∠CBF = 180° (sum of angle on a straight line)
132 + ∠CBF = 180
∠CBF = 1800 - 132 = 42
∠CBF = 42°
In triangle BCF:
∠BFC + ∠CBF + x = 180° (sum of angle in a triangle)
42 + 110 + x = 180
x + 152 = 180
x = 180 - 152
x = 27°
Answer:
22 Degrees
Step-by-step explanation:
First, i extended the line AB, to make a triangle and then i found out that the angle is 70 degrees, and from that i got that the other angle is 110 degrees, so now i know that the triangle (that has X in it) is this formula:
110+48+X=180
so now 180-158=22, so that is the answer
Five-thirds divided by one-third Step 1: Show the dividend Five-thirds in a fraction bar. Step 2: Below the dividend, show the divisor One-third in a fraction bar. Step 3: Find how many One-third seconds fit in Five-thirds seconds Step 3: Five-thirds divided by one-third =
Answer: the answer 5
Step-by-step explanation: it is 5
Answer:
its 5
Step-by-step explanation:
Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integration.) dy dt = 27t8
Answer:
[tex]y=3t^9+C[/tex]
Step-by-step explanation:
Given: [tex]\dfrac{dy}{dt}=27t^8[/tex]
We want to obtain the general solution of the given differential equation.
[tex]dy=27t^8$ dt\\$Take the integral of both sides\\\int dy =\int 27t^8$ dt$\\y=\dfrac{27t^{8+1}}{8+1} +C$, (where C is the constant of integration)$\\y=\dfrac{27t^{9}}{9} +C\\\\y=3t^9+C[/tex]
The general solution of the differential equation is: [tex]y=3t^9+C[/tex]
CHECK:
[tex]\dfrac{d}{dt} y=\dfrac{d}{dt}(3t^9+C)=\dfrac{d}{dt}(3t^9)+\dfrac{d}{dt}(C)\\\\\text{Since derivative of a constant is zero}\\\\\dfrac{dy}{dt}=27t^{9-1}\\\dfrac{dy}{dt}=27t^8[/tex]
What is the area of the figure below 13 in length, 11 in width, 29 in and 13 in?
Answer:
B. 533in²
Step-by-step explanation:
Step 1: Find the area of the rectangle
A = lw
A = (29)13
A = 377
Step 2: Find the leg of the triangle
13 + 11 = 24
Step 3: Find the area of the triangle
A = 1/2bh
A = 1/2(24)(13)
A = 12(13)
A = 156
Step 3: Add the areas of the 2 figures together
377 + 156 = 533
What is 66 tens + 24 tens
Answer:
900.
Step-by-step explanation:
66 tens are 660.
and 24 tens are 240.
so, It is 900!
if x degree and 50 degree are co interior angles find the value of x degree
Answer:
x+50degree =180 (sum of co- interior angle)
x=180-50degree
x=130answer
if you borrowed 12,000 dollars in student loans and paid back 4,200 dollars what percent of the total loan have you paid back
Answer:
35%
Step-by-step explanation:
4,200*100/12,000
420,000/12,000
35%
Please answer question two minutes because I been waiting for an hours for answer question
Answer:
→VU
→TU
Step-by-step explanation:
→ stands for "ray" these sides are rays that form ∠VUT
An experiment is conducted with 15 seniors who are taking Spanish at Oak View High School. A randomly selected group of eight students is first tested with a written test and a day later with an oral exam. To avoid order effects, the other seven students are tested in reverse order. The instructor is interested in the difference in grades between the two testing methods. The table below contains the descriptive statistics for the grades of the two tests.
n Mean Std. Deviation
Talk 15 1.523 1.530
Write 15 4.166 2.047
Difference (Talk - Write) 15 -2.643 2.182
Calculate a 98% confidence interval for the difference in mean grades between the two testing methods.
Answer:
Step-by-step explanation:
The formula for determining the confidence interval for the difference of two population means is expressed as
Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
Where
x1 = sample mean grade for written test
x2 = sample mean grade for oral test
s1 = sample standard deviation for written
s2 = sample standard deviation for oral test
n1 = number of students for written test
n1 = number of students for oral test
For a 98% confidence interval, we would determine the z score from the t distribution table because the number of samples are small
Degree of freedom =
(n1 - 1) + (n2 - 1) = (15 - 1) + (15 - 1) = 28
z = 2.467
x1 - x2 = 1.523 - 4.166 = - 2.643
Margin of error = z√(s1²/n1 + s2²/n2) = 2.467√(1.530²/15 + 2.047²/15) = 2.467√0.43540726667
= 1.036
The 98% confidence interval is -2.643 ± 1.036
The base of a triangle exceeds the night by 7 yards. If the area is 60 squares yards. Find the length of the base and the height of the triangle
Answer:
Height = 8 yards, base = 15 yards.
Step-by-step explanation:
Let the height be x yards then the base = x+7 yards.
Area = 1/2 * base * height, so:
1/2 * (x+7) * x = 60
1/2x(x + 7) = 60 Multiply through by 2:
x(x + 7) = 120
x^2 + 7x - 120 = 0
(x - 8)(x +15) = 0
x = 8, -15
x = 8. ( we ignore the negative root).
So the base is 8+7 = 15 yards long.
Please answer this correctly
Answer:
12.5%
Step-by-step explanation:
There is only one number 5 from a total of 8 parts.
1 out of 8.
1/8 = 0.125
P(5) = 12.5%
Answer:
12.5%
Step-by-step explanation:
Spinner divided in parts = 8
Number 5 = 1
P(5) = 12.5%
What is the value of - x^2 -4 x -11 if x =.3
Answer: -32
Step-by-step explanation:
I'm just going to plug in and break down the equation to make it more understandable and easier to comprehend
-(3^2) - (4*3) -11
-(9)- (12) -11
-9 - 12 - 11
-21 -11
-32
Ten different numbers are written on pieces of paper and thrown into a hat. The sum of all the numbers is 205. What is the probability of selecting four numbers that have a sum greater than 82
Answer:
The probability is 40%
Step-by-step explanation:
a) There are ten pieces of paper with ten numbers
Probability of selecting four pieces of paper = 4/10 or 40%
Probability that the four numbers selected will have a sum greater than 82 = 82/205 = 40%
Therefore, the probability of selecting four numbers that have a sum greater than 82 out of ten numbers totalling 205 is 40%.
b) Probability is the ratio of the number of outcomes favourable for the event to the total number of possible outcomes. In other words, it is a measure of the likelihood of an event (or measure of chance).
Find the value of x for which a ll b
Answer:
x=35
Step-by-step explanation:
The Taylors have recorded their weekly grocery expenses for the past 12 weeks and determined that the mean weekly expense was $.82.55. Later Mrs. Taylor discovered that one week's expense of $74 was incorrectly recorded as $47. What is the correct mean?
Answer:
$84.80
Step-by-step explanation:
find the difference between accurate price and written price: 74 - 47 = 27
find written total (before Mrs. Taylor found mistake) by undoing the mean calculation: 82.55 x 12 = $990.60
the total expenses is $27 more than what they thought: 990.60 + 27 = 1017.60
divide accurate total by 12 to find mean: 1017.60 / 12 = $84.80
hope this helps :)
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answer:
Step-by-step explanation:
t=V100-50/4
t=V50/4=1.76≈1.8 s
when h=0
t=V100/4=10/4=2.5 s
Answer: a) (5√2)/4 ≈ 1.77 seconds
b) 5/2 = 2.5 seconds
Step-by-step explanation:
[tex]t=\dfrac{\sqrt{100-h}}{4}\\\\\\h=50\rightarrow t=\dfrac{\sqrt{100-50}}{4}\\\\\\.\qquad \qquad =\dfrac{\sqrt{50}}{4}\\\\\\.\qquad \qquad =\large\boxed{\dfrac{5\sqrt2}{4}}\\\\\\\\h=0\rightarrow t=\dfrac{\sqrt{100-0}}{4}\\\\\\.\qquad \qquad =\dfrac{\sqrt{100}}{4}\\\\\\.\qquad \qquad =\dfrac{{10}}{4}\\\\\\.\qquad \qquad =\large\boxed{\dfrac{5}{2}}[/tex]
5 x (8-4) ÷ 4 - 2 please show work
Answer:
3
Step-by-step explanation:
=> 5 x (8-4) ÷ 4 - 2
Solving Brackets
=> 5 × 4 ÷ 4 - 2
Dividing
=> 5 × 1 - 2
Multiplying
=> 5 - 2
Subtracting
=> 3
Answer:
3
Step-by-step explanation:
5 x 4/4-2
5x1-2 (any expression divided by itself equals one)
5-2 (any expression multiplied by one remains the same)
=3
hope this helps love!
I NEED HELP PLEASE, THANKS! :)
Answer:
θ = {0, π/2, π, 3π/2, 2π} . . . . choice B
Step-by-step explanation:
In this equation, r will be a maximum where cos(4θ) is a maximum. That is where ...
4θ = 2kπ . . . . for some integer k
Dividing by 4 gives ...
θ = k(π/2)
θ = {0, π/2, π, 3π/2, 2π} . . . . matches choice B
__
You will note that the graph also has extremes at odd multiples of π/4. These are the locations where cosine is a minimum and r is negative. It can be argued that r is not a maximum at those points.
please help me on this
Answer:
a. X=5b. X=4solution,
[tex]a. \: \: \frac{3x + 4}{2} = 9.5 \\ \: \: or \: 3x + 4 = 9.5 \times 2(cross \: multiplication) \\ \: \: or \: 3x + 4 = 19 \\ \: \: or \: 3x = 19 - 4 \\ \: \: or \: 3x = 15 \\ \: or \: x = \frac{15}{3} \\ \: x = 5[/tex]
[tex]b. \: \: \frac{7 + 2x}{3} = 5 \\ \: \: or \: 7 + 2x = 5 \times 3(cross \: multiplication) \\ \: \: or \: 7 + 2x = 15 \\ \: \: or \: 2x = 15 - 7 \\ \: or \: 2x = 8 \\ \: or \: x = \frac{8}{2} \\ \: \: x = 4[/tex]
Hope this helps..
Good luck on your assignment..
Identify the range of the function shown in the graph.
Answer:
B
Step-by-step explanation:
The range is all values of y. Y goes from -1 to 1. Please mark brainliest.
Answer:
see below
Step-by-step explanation:
The domain of the function is the possible x values
The domain is all real values since x can be any number
The range of the function is the possible y value
The values of y go from -1 to 1 so
-1 ≤y≤1
need some help thanks ;)
Answer:
137
Step-by-step explanation:
sum of angle in a circle = 360°
105 + 118 + x = 360
223 + x = 360
x = 360 - 223
x = 137
3. Maria is a veterinarian. She wants to know how the weight of a puppy is related to its length. To find out, Maria randomly selected 10 puppies that are two months old. She recorded the length and weight of each puppy in the table below. Part A. The data from the table are shown on the scatterplot. Draw an estimated line of best fit through the data points. (3 points) Part B. Use the scatterplot to answer these questions. a. What kind of correlation exists between the length and weight of the puppies? Explain. (2 points) b. Identify two points on the line of best fit that you drew in Part A. Use the two points to find the equation of the line. Write the equation of the best fit line in slope-intercept form. Show your work. (4 points: 1 point for identifying the coordinates of two points, 1 point for slope, 1 point for b-value, and 1 point for showing work)
Answer:
Part A. I chose points (7,1.3) and (48,9.8)
Part B. a. Positive correlation; b. y = 0.21x - 0.2
Step-by-step explanation:
Part A.
I chose the first and last points on the line — (7 in, 1.3 lb) and (48 in, 9.8 lb).
That put three points on the line, three above it, and four below.
Part B
a. Type of correlation
There is a positive correlation between the length of a puppy and its weight.
You would expect a longer dog to be bigger and weigh more than a shorter dog.
b. The equation for the line of best fit
The slope-intercept equation for a straight line is
y = mx + b
where m is the slope of the line and b is the y-intercept.
The line passes through the points (7,1.3) and (48, 9.8).
(i) Calculate the slope of the line
\begin{array}{rcl}
[tex]m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = & \dfrac{9.8 - 1.3}{48-9}\\\\& = & \dfrac{8.5}{41}\\\\& = & \textbf{0.21 lb/in}\\\\\end{array}[/tex]
The slope of the line is 0.21 lb/in.
(ii) Locate the y-intercept
Put the slope and the coordinates of one point into the slope-intercept formula.
[tex]\begin{array}{rcl}y & = & mx + b\\1.3 & = & 0.21\times7 + b\\1.3 & = & 1.47 + b\\b & = & -0.2\\\end{array}[/tex]
The y-intercept is at (0,-0.2)
(iii) Write the equation for the line
y = 0.21x - 0.2
Agency K purchased 125 computers last year and 195 computers this year. What is the percentage increase from the number of computers purchased last year to this year?
Answer:
70% i believe.
Step-by-step explanation:
One writer, a group of students measured snowfall totals at their school. This chart shows how many inches of snow the students measured each month. How much snowfall did they receive in January and February combined?
January 3.4
February 8.4
The correct answer is 20.7 inches of snow
Explanation:
The chart registers the total of snowfall at the school, in this, you can observe the total of snow in December was 3.4 inches, while in January the total was 12.3 and in February it was 8.4. Additionally, if you want to know the total during January and February combined the correct process is to add the two numbers. This means 12.3 inches (January) + 8.4 inches (February) = 20. 7 inches (Total in January and February.) Thus, the answer is 20.7 inches of snow.
A rectangle was rotated 270° about the origin. The image is shown. Which points are vertices of the pre-image? Check all that apply.
Answer:
Answer:
M(3,2)
Step-by-step explanation:
270 = (y,-x)
(3,2)=(2,-3)
Step-by-step explanation:
Answer:
Also N(3, 1)
Step-by-step explanation:
Select true or false for each equation
- 48 (134) = 1,608 True or False
- 7.3 • 0.14 = - 1.022 True or Flse
(- 0.28)(- 5.6) = - 1.568 True or False
(3/4)(- 1 1/3) = -1 True or False
Answer:
False
True
False
True
Step-by-step explanation:
Easiest and fastest way is to plug each equation into a calc and see if they match the values given. When you do so, you should get your answers.
m−4+m−5 how do i solve this?
Answer:
2m-9
Step-by-step explanation:
m-4+m-5
=m+m-4-5
=2m-9
Answer:
2m-9
Step-by-step explanation:
m-4+m-5
take the like terms
= 2m-4-5
= 2m-9
Sorry if that didn't help
There are two species of plants that live along the ridge line of Old Rag, which is a mountain here in Virginia. The probability of observing the first species is 0.61, while the probability of observing the second species is 0.08. The probability of observing them growing together (i.e. right next to one another) is 0.28. When you go for a hike along this ridge line, what is the probability of observing one species or the other but not both together
Answer:
0.13
Step-by-step explanation:
First let's find the probability of finding the first species or the second species:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.61 + 0.08 - 0.28
P(A or B) = 0.41
Then, to find the probability of finding one or another but not both, we just need the symmetric difference of the events, that is: P(A or B) - P(A and B):
P(A or B) - P(A and B) = 0.41 - 0.28 = 0.13