9514 1404 393
Answer:
(x +10)(x -4)
Step-by-step explanation:
Compare the factored and expanded forms:
(x +p)(x +q) = x^2 +(p+q)x +pq = x^2 +6x -40
That is, the constants in the binomial factors will be factors of -40 that have a sum of 6. This is where your knowledge of multiplication tables is helpful.
-40 = -1×40 = -2×20 = -4×10 = -5×8
The sums of these factor pairs are 39, 18, 6, 3, respectively. So, the one we want is (-4)(10) = -40. Now that we know the values of 'p' and 'q', we can write the factorization ...
x^2 +6x -40 = (x -4)(x +10)
Pavan saves $x each month.His two brothers each save $4 more than Pavan each month.
Altogether the three boys save $26 each month.
(a) Write down an equation in x.
Answer:
a)(4+x) + (4+x) + x= 26
b) x=6
Step-by-step explanation:
pavan=x
brother 1=4+x
brother 2=4+x
brother 1=brother 2
a)
(4+x) + (4+x) + x= 26
b)
(4+x) + (4+x) + x= 26
=> 8+3x=26
=>
take 8 to 26
=>
3x=26-8=18
take 3 to 18 side
x=18/3=6
therefore pavan saves 6$ per month
3/4 ÷ 1/5 = ??????????
Answer:
15/4 or 3 3/4
Step-by-step explanation:
3/4 x 5/1 = 15/4
Answer:
[tex]\frac{15}{4}[/tex]
Step-by-step explanation:
turn [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5}[/tex] into
multiply the denominators and then multiply the numerators
3 x 5 = 15
4 x 1 = 4
the fraction is [tex]\frac{15}{4}[/tex]
hope this helps :)
find the sequence 13, __, 33, __, 53
Answer:
Each new number adds 10 (you could also write the equation 3 + 10n where n is the position of the number in the sequence)
The blanks are 23 and 43
Step-by-step explanation:
In two numbers it goes up by 20, so in one it will go up by 10.
This means the blanks are 13 + 10 = 23 and 33 + 10 = 43
Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠XYZ? Neeed this fast asap
15°
30°
45°
75°
Answer:
B,30
Step-by-step explanation:
Answer:
B,30°
Step-by-step explanation:
A quadrilateral ABCD has the given angle measures. Select all measurements which
could come from a cyclic quadrilateral.
A:
angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B:
angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
C:
angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110°
D:
angle A is 60°, angle B is 50°, angleC is 120°, and angle D is 130°
E:
angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150°
Answer:
A: angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B: angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
D: angle A is 60°, angle B is 50°, angle C is 120°, and angle D is 130°
Step-by-step explanation:
The sum of opposite angles of a cyclic quadrilateral is 180°
It must satisfy the following:
A+C=180° and B+D=180°
Only choice A and B and D satisfy.
The correct options are options A, B, and D.
What is a cyclic quadrilateral?A quadrilateral having all its corners on a circle plus opposite angles' sum is 180° called a cyclic quadrilateral.
A) ∠A =90°
∠B=90°
∠C =90°
∠D =90°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
B) ∠A =80°
∠B=80°
∠C =100°
∠D =10 0°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
Similarly, options C, D, and E also can be checked whether they can come from a cyclic quadrilateral or not.
C) Cannot come from a cyclic quadrilateral since ∠A + ∠C =140°≠180°.
D) ∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
E)Cannot come from a cyclic quadrilateral since∠A + ∠C = 170°≠180°.
Therefore, The correct options are options A, B, and D.
To get more about the cyclic quadrilateral visit:
https://brainly.com/question/24142962
1.ABCD is a rectangle.its diagonals meet at O.lif AO = 5x-1 and BO =
4x+9.find the length of the diagonals.(lengths in cm)
Answer:
[tex]Length = 98[/tex]
Step-by-step explanation:
Given
[tex]AO = 5x - 1[/tex]
[tex]BO = 4x + 9[/tex]
Required:
The length of the diagonal
Since AO and BO are diagonals that meets at O, we have:
[tex]AO=BO[/tex]
This gives
[tex]5x - 1 = 4x + 9[/tex]
Collect Like Terms
[tex]5x - 4x = 1 + 9[/tex]
[tex]x = 10[/tex]
Subsitute 10 for x in [tex]AO = 5x - 1[/tex]
[tex]AO = 5 * 10 - 1[/tex]
[tex]AO = 50 - 1[/tex]
[tex]AO = 49[/tex]
The length of the diameter is:
[tex]Length = AO * 2[/tex]
[tex]Length = 49 * 2[/tex]
[tex]Length = 98[/tex]
The heights, in inches, for 120 people (male and female) have been measured. The results are presented:Heights sample data: 66.13 65.84 69.19 61.94 68.86 65.66 70.19 59.54 70.29 62.64 67.59 61.29 66.34 65.19 62.7 64.96 70.35 71.36 70.29 62.21 73.46 65.74 66.22 64.28 66.56 66.5 68.55 67.01 61.13 66.93 63.98 65.88 66.02 69.86 65.5 61.14 62.27 64.93 66.04 71.74 68.69 65.27 67.39 66.01 67.51 67.41 67.62 66.2 65.25 64.78 68.87 68.5 67.17 62.62 61.76 63.41 64.73 65.22 62.14 68.19 67.59 68.64 66.3 66.34 65.66 63.14 69.68 68.07 63.1 66.86 62.2 69.44 65.35 61.53 59.7 61.12 69.98 66.52 63.27 65.69 70.76 68.02 69.35 65.45 70.28 62.04 69.28 63.45 67.52 63.37 64.47 68.82 73.15 62.47 65.56 68.28 67.66 63.81 66.39 69.88 67.26 65.5 66.33 65.75 68.83 71.8 64.6 69.95 66.8 70.82 66.71 67.11 69.23 70.71 64.32 67.18 65.1 64.79 62.58 67.2 a)Calculate the mean and standard deviation for the sample. Give your answers to 2 decimal places. sample mean
Answer:
70.4
Step-by-step explanation:
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The residual for Raisin Bran is 8.556. How many grams of sugar does Raisin Bran actually have per cup
Answer:
Note: The full question is attached as picture below
a. Slope of 0.536 means that when there is an increase in carbohydrate content, there will be sn increase in 0.536 grams of sugar content.
b. Coefficient of Determination, R^(2) = 0.544^(2) = 0.295936 = 0.296. Percent of variation = 29.6
c. For carbohydrate content of 29 grams,
Predicted amount of sugar per cup for Raisin Bran = -5.10 + 0.536*29 = 10.444 gram
d. Residual value= Actual value - Predicted value
8.556 = Actual sugar content - 10.444
Actual sugar content = 8.556 +10.444
Actual sugar content = 19
So, the Raisin Bran actually have 19 grams of sugar per cup.
Shown below is a prism.
The cross-sectional area is 21cm2.
The prism has a length of 6cm.
Find the volume of the prism.
Answer:
Volume = 126 cm^2
Step-by-step explanation:
You don't exactly know what the base looks like, but it doesn't matter. The volume of a Prism is Base * height.
Solution
V = Base (which is the Cross sectional Area) * Length
V = 21 cm^2 * 6 cm
V = 126 cm^2
A school raised $18,000 at a charity event. A, B, and C, in ratio 1: 2: 3. How much money did each charity receive?
Answer:
3000
6000
9000
Step-by-step explanation:
18000/6=3
A=1(3000)=3000
B=2(3000)=6000
C=3(3000)=9000
last year 1/5 of the students in your class played a sport this year 10 students join the class five of the new students play a sport now 1/4 of the students play a sport how many students are in your class now
Answer:
60
Step-by-step explanation:
last year 1/5 of the class played sports, so s = (1/5) c
the next year, s increased by 5, c increased by 10 and the fraction changed to 1/4, so for the next year (s+5) = (1/4)(c+10)
To solve this we can substitute s = (1/5)c from the first equation into the second, so
((1/5)c + 5)=(1/4)(c+10), simplify both sides
(1/5)c + 5 = (1/4)c + 10/4, simplify 10/4 to 5/2
(1/5)c + 5 = (1/4)c + 5/2, multiply both sides by 20 to eliminate fractions (least common multiple of 2, 4 and 5)
4c + 100 = 5c + 50, subtract 4c, subtract 50 from both sides
50 = c, number of students in class last year was 50, this year is 10 more, so this year is 60
What is the y intercept of the graph
A. -2
B. 2
C. -4
D. 4
Answer:
option C = -4
Step-by-step explanation:
Because the line is in the y-axis of -4
Option C) -4
REASON:the line is on the Y axis of -4
What is the solution of the equation x2 = 64?
Answer:
8
Step-by-step explanation:
8 * 8 = 64
Hope this helps!
A recipe needs 2 tablespoons of vegetable oil for every 3/4 cup of flour. If you plan to use 3 cups of flour,
how much vegetable oil will you need?
Answer:
24
Step-by-step explanation:
-%6$6%7$%$7%867-$7
Answer:
8
Step-by-step explanation:
Ratio: 2:3/4
Equation: 3/4x=3
x=4
4*2=8
2 kilometers to 72 meters write each ratio in simplest form
Answer: It is 136.
Step-by-step explanation:
2 kilometers to 72 meters simplest form is 1:36.
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
Then their ratio will be formed as
[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]
where x is a common factor (not 1)
This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.
Thus, a = px, b = qx
1. To Find common denominator:
2 x 2/ 72 x 2
Commonest denominator: 2
2. Divide the two terms:
2 x 2 = 2/ 72 = 36
3. Convert into rate form:
1:36
Therefore, 2 kilometers to 72 meters simplest form is 1:36.
Learn more about ratio here:
brainly.com/question/186659
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A park planner is designing a dog park
Answer:
Un planificador de parques está diseñando un parque para perros
1. Which of the following expressions when evaluating yields 5?
a. 10x3 + 6
b. 5 -5 x 6
c. 24 - 6 - 12
Answer:
b
Step-by-step explanation:
10x3+6= 36
5-5x6= -25
24-6-12=6
Fill in the missing numbers to write an equation for each linear table. Helppp please
You purchase 2.4 meters of nylon cord to make 8 friendship bracelets. How many centimeters are in each bracelet?
A. 0.3 cm
B. 3 cm
C. 7.2 cm
D. 30 cm
Answer:
A. 0.3 cm
Step-by-step explanation:
2.4m÷8=0.3cm
2.4 meters devide by 8 equals to 0.3 centimeter
Answer:
Step-by-step explanation:
30 cm is the correct answer
Select the correct answer.
The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2
Answer:
The answer is D slope = -3 y-intercept = -2
Step-by-step explanation:
Answer
D.
Step-by-step explanation:
The first part of the equation is -3 and the second part is -2. The number attached to the variable is the "slope" and the number coming after the variable is the y intercept.
5x-4y =-10 what is x and y i need the numbers
Answer:
x=2(2y-5) over 5 , y=-5(-x-2) over 4
2/3 times (-4/5) I have no idea lol
Answer:
-8/15
Step-by-step explanation:
That's your answer
lan worked 25 hours at the grocery store last week and 36 hours this week.
What is the percent change?
O 44% Increase
O 44% Decrease
O 31% Increase
O 31% Decrease
Which point on the diagram shows the minimum value of y?
Answer:
Step-by-step explanation:
ok
Find the product: 4 2/5 x 5 1/2 =
Answer:
4 2/5 x 5 1/2 = 24.2
Step-by-step explanation:
PLZZ MARK BRAINLIEST!!!
Write the expression
a2b3c2d in expanded
form.
Answer:
a*2+b*2+c*2+d
Step-by-step explanation:
If i's meant to be Pythagorean theorem, a*a+b*b=c*c
Data Set 1
Drag and drop the range of each data set into the
boxes.
X X
Х
Х
х
Data Set 1
Data Set 2
x x
х
X
Х
Range
20
30
40
50
60
20
25
30
45
Data Set 2
х
Х
х
x x
Х
х
Х
+
20
30
40
50
60
1
2
3
4
5
Finish
Answer:
Data Set 1: 20
Data Set 2: 25
Step-by-step explanation:
Range = maximum value - minimum value
Range of Data Set 1:
Maximum value of data set 1 = 40
Minimum value of data set 1 = 20
Range of Data Set 1 = 40 - 20 = 20
Range of Data Set 2:
Maximum value of data set 2 = 60
Minimum value of data set 2 = 35
Range of Data Set 2 = 60 - 35 = 25
Answer:
20 and 25
Step-by-step explanation:
took test guy above is correct
Solve for x: -8 < x - 1 < 5
Answer: −7<x<6
Step-by-step explanation:
−8<x−1<5
−8+1<x−1+1<5+1(Add 1 to all parts)
−7<x<6
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded. Which linear inequality is represented by the graph?
Answer:
y>3x+2
Step-by-step explanation:
1. use y2-y1/x2-x1 to find the slope (3)
2. since the y-intercept is already give as (0,2) we have the equation y=3x+2
3. finally since the left side is shaded, that would mean everything greater than that equation can equal y therefore y>3x+2
Answer:
Beans
Step-by-step explanation:
A total of 472 tickets were sold. They were either adult tickets or student tickets. The number of student tickets were 3 times tge number of adult tickets sold. How many adult tickets were sold?
Answer:
adult tickets = 118
student tickets = 354
Step-by-step explanation:
a = number of adult tickets
s = number of student tickets
a + s = 472
3a = s
substitute for s
a + 3a = 472
reduce
4a = 472
divide by 4
4a/4 = 472/4
a = 118
s = 354
