Answer:
The table is linear because as x increases by 1, y changes by an average rate of |2|. You can also notice the tables both end in |+1|, which shows that the table has a constant rate of change between the two points at the end. Thus, the table is linear. If the table was nonlinear, there would be no constant rate of change between the 2 sets of data.
Ximena has procrastinated all her homework until the very last minute. She has 2 hours to spare until midnight, which is when all her homework is due. Her biology homework will take 30 more minutes than her English homework, and her math homework will take three times as long as her biology homework. How long will each subject take?
Answer:
Step-by-step explanation:
Let,
For English = x min.
For Biology= (x+30) min.
For Math= 3(x+30) min.
2 hours= 2*60 = 120 min.
Now, x+(x+30)+3(x+30)=120
Or, x= 0 min.
For English = 0 min.
For Biology= 30 min.
For Math= 90 min
Explain to a new student how to simplify the expression below. Show the updated expression after each step you take.
(-8)+(-3)+(-4)(7) ÷14+9(-2)
Answer:
-31
Step-by-step explanation:
You use pemdas which is
parathesis
exponents
multiply or divide, use in order
then add or subtract, use in order
(-8)+(-3)+(-4)(7)÷14+9(-2)
multiply first
-4*7=-28
(-8)+(-3)+(-28)÷14+9(-2)
Divide next
-28÷14=-2
(-8)+(-3)+(-2)+9(-2)
multiply again
9*(-2)=-18
(-8)+(-3)+(-2)+(-18)
now add
-8+(-3)=-11
(-11)+(-2)+(-18)
add again
-11+(-2)=-13
(-13)+(-18)
add for the last time
-13+(-18)=-31
x^2 + 5x - 14 factorise
Answer: (x-2)(x+7)
Step-by-step explanation:
Answer: (x+7)(x-2)
Step-by-step explanation:
[tex]x^2+5x-14=\\x^2+7x-2x-14=\\x(x+7)-2(x+7)=\\(x+7)(x-2)[/tex]
18. Point B partitions AC in the ratio 1:3. What are the coordinates of C?
Please help I’ll give crown
Using proportions, the coordinates of C are given as follows: (60,41).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Point B partitions AC in the ratio 1:3, hence:
B - A = 1/4(C - A)
The x-coordinate of C is found as follows:
12 + 4 = 1/4(x + 4)
16 = 1/4(x + 4)
x + 4 = 64.
x = 60.
The y-coordinate of C is found as follows:
5 + 7 = 1/4(y + 7)
12 = 1/4(y + 7)
y + 7 = 48
y = 41.
The coordinates of C are given as follows: (60,41).
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Answer:
Step-by-step explanation:
In the figure is a right triangle ABC with AC=10cm and AB=6cm, What is the height AB (Theorem of Pythagoras)
Answer:
8cm
Step-by-step explanation:
Given-;
BC(base)=6cm
AC(hypotenuse)=10cm
To Find-:
AB(Perpendicular)=?
Solution-:
As we know that
Pythagoras Theorem=>H²=P²+B²
By using it
=>10²=P²+6²
=>100=P²+36
=>100-36=P²
=>64=P²
Therefore, the height of AB is 8cm.
find the expression for g(x)
Hello,
[tex]f(x) = 4 {x}^{2} - 9[/tex]
[tex]g(x) = 4 {x}^{2} - 9 + 8 = 4 {x}^{2} - 1[/tex]
Elvira is comparing prices between two different suppliers of fresh lettuce. Val’s Veggies charges $250 for delivery plus $1.50 per bag of lettuce. Sally’s Salads charges $100 for delivery plus $4.00 per bag of lettuce. How many bags of lettuce must be purchased for Val’s Veggies to be the cheaper option?
a. Write and solve an inequality that models this situation.
b. Describe in words the quantities that would work in this situation.
c. Write your answer in both interval and set notation.
The inequality to model this situation is given by x>60 .
Inequality is defined as the relationship between a variable and a constant or two variables which can be written in the form of an equation using the notations < , > , ≤ or ≥ .
Let us consider the number of bags of lettuce bought be x.
Therefore amount needed to buy x bags from Val's veggies is :
250 + 1.5 x
And the amount needed to buy x bags from Sally's Salads is :
100 + 4 x
Now it is given that Val's Veggies need to be cheaper than Sally 's.
a) Therefore we will write an inequality and solve it for x:
∴ 250 + 1.5 x < 100 + 4 x
moving the variables and constants together
or, 1.5 x - 4 x < 100 - 250
or, - 2.5x < -150
or, x > 60
b) Therefore from the inequality we can conclude more than 60 bags of lettuce needs to be purchased for Val's cost to be cheaper.
c) Set notation: {x ∈ Z | x>60}
interval notation : x∈(60.∞)
Therefore from the inequality , the number of bags to be purchased must be more than 60.
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in the following series one number is wrong find out the wrong number
a
A 132
B 42
C 48
D 59
E 84
Answer:
D - 59
Step-by-step explanation:
All the options are even except from D which is odd
Hope this helps :)
Find the value of x in each case.
Answer: 11
Step-by-step explanation:
[tex]\angle GFE=33^{\circ}[/tex] (linear pair)
[tex]\angle FEB=180^{\circ}-4x[/tex] (linear pair)
[tex]33+180-4x+x=180[/tex] (sum of angles in a triangle)
[tex]33+180-4x+x=180\\\\33-3x=0\\\\x=11[/tex]
Determine whether each sequence is geometric. If so, find the common ratio. 1,2,4,8, . . . . .
The given sequence is geometric, with the common ratio = 2.
What is a geometric progression?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.Given: 1, 2, 4, 8, ...
=> 2⁰, 2¹, 2², 2³, ...
We can see that the quotient of each two consecutive terms is 2, in the given sequence, following the necessary condition for a sequence to be geometric.
Thus, The given sequence is geometric, with the common ratio = 2.
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Write an equation of each line in standard form with integer coefficients.
a line through (3,1) with slope 0
The equation of the line in standard form passing through the point (3 , 1) with slope equal to 0 is y = 1.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Using the point slope form, plug in the values of the slope and the point to set up the equation.
(y - y1) = m(x - x1)
where m = 0 and (x1 , y1) = (3 , 1)
(y - 1) = 0(x - 3)
y - 1 = 0
y = 1
Since the variable(s) is already isolated at one side and the constant on the other side, the equation is y = 1 already in standard form.
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Please help me!! Middle school question Integers
Answer:
Step-by-step explanation:
We can do this as a normal problem on the left.
(-7)x2+9 we do the multiplication first, then add. (Multiplication and division always happen before addition and subtraction, unless brackets are being used.)
-> -14+9=-5
Now that we know the left side of the equation is equal to -5, we must find which answer is GREATER than -5, because instead of an equal sign, there is a < meaning greater than.
4+[3x(-2)] for this one we do the multiplication first
4+(-6)=-2. -2> -5
Thus, it is the first answer, because that is the one that is greater than -5.
Solve this and earn 20 points. (Please show work)
Answer:
1 1/2 ÷ 1/2 = 3/2 ÷ 1/2 = 3/2 × 2 = 3
Find the measures of the angles or sides in each triangle.
The ratios of the measures of the three angles is 4: 5: 11 .
If the ratios of the measures of the three angles is 4: 5: 11 then the measures of the three angles in a triangle is 84°, 30° and 66° respectively.
What is meant by angles?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
The ratios are 4: 5: 11 then
Angle A = 14, Angle B = 5, Angle C = 11
Total ratio = 14 + 5 + 11 = 30
The total angle in a triangle = 180°
Angle A
= 14 / 30 × 180°
= 0.4666666666666 × 180°
= 84°
Angle B
= 5/30 × 180°
= 0.1666666666666 × 180°
= 30°
Angle C
= 11/30 × 180°
= 0.3666666666666 × 180°
= 66°
Therefore, the measures of the three angles in a triangle is 84°, 30° and 66° respectively.
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The measures of the angles in each triangle are 36°, 45°, and 99.°
How do find the measures of the angles in the triangle?Angle A = 4
Angle B = 5
Angle C = 11
Total ratio = 4 + 5 + 11
= 20
The total angle in a triangle = 180°
Angle A = 4 / 20 × 180°
= 36°
Angle B = 5/20 × 180°
= 45°
Angle C = 11/20 × 180°
= 99°
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The relation between degrees Fahrenheit F and degrees Celsius C is described by the function F = (9/5)C+32 . In the following ordered pairs, the first element is degrees Celsius and the second element is its equivalent in degrees Fahrenheit. Find the unknown measure in each ordered pair.
d. (q, 19)
5:9 is degrees Celsius and the second element is its equivalent in degrees Fahrenheit.
What does a temperature in Fahrenheit mean?
Water freezes at 32 degrees Fahrenheit and boils at 212 degrees Fahrenheit on the Fahrenheit scale, which is used to measure temperature.It is denoted by the °F sign. The temperature had risen to 100 degrees Fahrenheit by mid-morning.F = (9/5)C+32
F = C x 9/5 + 32
C = (F - 32) x 5/9
The above equations could easily be derived by the following relationships:
Freezing Point = 0C or 32F and Boiling Point = 100C or 212F
Range from freezing point to boiling point = 100C or 180F,
i.e. C : F = 100:180 = 5:9
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given: 7(x + 2) + 4x = 6(2x - 4)
prove: x = 2/3
The solution to the equation 7(x + 2) + 4x = 6(2x - 4) gives the result x = 38
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
7(x + 2) + 4x = 6(2x - 4)
Opening the bracket gives:
7x + 14 + 4x = 12x - 24
Collecting like terms:
x = 38
The solution to the equation 7(x + 2) + 4x = 6(2x - 4) gives the result x = 38
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8 x 100 = 8 x 10^2 i don't know i need help please help!!!!!
Step-by-step explanation:
10^2=100x8 =800
800=8x100
10^2 =100.The reason is, you are basically doing 10x10=100x8=800.
Simplify 5√√2+√√2+3√√2.
OA. 8,2
OB. 7.2
O C. 6√2
OD. 9,2
Answer:
D
Step-by-step explanation:
5[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] + 3[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term
= [tex]\sqrt{2}[/tex] (5 + 1 + 3)
= 9[tex]\sqrt{2}[/tex]
Add. Estimate to check your work. 5,238 + 2,794
The sum of 5,238 and 2,794 is 8,032.
What is addition?In math, addition is the process of adding two or more numbers together. Addends are the numbers that are added, while the sum refers to the result of the operation.
Given: 5,238 + 2,794
To add the estimate, we place the given 4-digit number 2794 below the given 4-digit number 5238, and then group the numbers into columns according to their places, such as once, tens, hundreds, and thousands.
The numbers are now added column-by-column. First, we add the number in the one's column (8+4=12), then in the tens column after carrying 1 (9+3+1=13), in the hundreds column carrying 1(2+7+1=10) and in the thousands column carrying 1 again (5+2+1=8).
So the final result of the addition is 8,032.
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The graph shows the velocity f(t) of a runner during a certain time interval:
Graph of line segment going through ordered pairs 0, 2 and 6, 8. Graph of another line segment going through ordered pairs 6, 8 and 8, 0. Label on the x axis is time in seconds, and label on the y axis is velocity in meters per second.
Which of the following describes the intercepts on the graph?
The initial velocity of the runner was 8 m/s, and the runner stopped after 2 seconds.
The initial velocity of the runner was 2 m/s, and the runner stopped after 8 seconds.
The initial acceleration of the runner was 8 m/s2, and the runner stopped after 2 seconds.
The initial acceleration of the runner was 2 m/s2, and the runner stopped after 8 seconds.
The initial velocity of the runner was 2 m/s, and the runner stopped after 8 seconds. Therefore, option (b) is correct.
The velocity of an object helps to calculate the speed of the object in a particular direction. A velocity-time graphs shows the speed and direction of an object that travels over a specific period of time. They are also known as speed-time graphs too.
The vertical axis represents the velocity of an object and horizontal axis represents the time taken to cover particular distance with the speed.
Here, the ordered pairs given in the question are (0,2), (6,8) going through one line segment and for other line segment it is (6,8) and (8,0) respectively. We have to conclude various statement that matches best for the ordered pairs given to us. Let's proceed to solve this.
For (0,2), this ordered pair conclude that: At t = 0 sec, the initial velocity of the runner was 2m/s respectively.
Similarly, for (6,8) this represents that at t = 6 sec the velocity of the runner reaches at maximum. i.e., 6m/s and acceleration is 1 m/s² also from this ordered pair for another line segment a state of deceleration begins which ultimately reduces the acceleration of an object.
For (8,0), this ordered pair represents that at t = 8 sec the velocity of the object which is the final velocity it become 0 m/s i.e., the runner stopped.
From all the ordered pair we have concluded that option (b) is correct which says that the initial velocity of the runner was 2 m/s, and the runner stopped after 8 seconds.
Hence, option (b) is correct.
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please help!!
In the figure below angle ADB = (7x + 2) degrees and angle CDB = (3x - 2). Find the measure of the angle ADB.
The measure of the angle ADB is 65 degrees
How to find the measure of the angle ADB?The angles are given as
Angle ADB = (7x + 2) degrees
Angle CDB = (3x - 2) degrees
The angles are complementary angles
This means that they add up to 90 degrees
So, we have:
ADB + CDB = 90
This gives
7x + 2 + 3x - 2 = 90
Evaluate
10x = 90
Divide by 10
x = 9
Substitute x = 9 in Angle ADB = (7x + 2) degrees
Angle ADB = (7 x 9 + 2) degrees
Evaluate
Angle ADB = 65 degrees
Hence, the measure of the angle ADB is 65 degrees
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2(7x-7)=14x-20
with work plss and ty :)
Answer: 0= negative 6
Step-by-step explanation:
235+39429-2293= bằng bao nhiêu
Answer:
41957
Step-by-step explanation:
39429
2293
235
_______
41957
set as brainliest
how many times smaller is (4 x 10^4) than (1.25 x 10^2)
The number of times that (4 x 10⁴) is higher than (1.25 x 10²) is 3.2 × 10².
How to illustrate the information?It should be noted that the information is to find the number of times that (4 x 10⁴) is higher than (1.25 x 10²).
This will be calculated by dividing the values we have.
= (4 × 10⁴) / (1.25 × 10²)
= 3.2 × 10²
In conclusion, the number of times that (4 x 10⁴) is higher than (1.25 x 10²) is 3.2 × 10².
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100 POINTS! ANSWER PLEASE! Order the following rational and irrational numbers from least to greatest. -2 3/5, square root of 20, 3.9, 10/3, 3 7/8
The given rational and irrational numbers can be ordered from least to greatest as follows; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.
What is the arrangement of the numbers in ascending order?It follows from the task content that the numbers given are rational and irrational numbers.
To order the numbers, they should be converted to decimal numbers as follows;
-2 3/5 = -2.6
√20 = 4.47
3.9 = 3.9
10/3 = 3.33
3 7/8 = 3.875
Hence, the order from least to greatest is; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.
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Solve each system by substitution. Check your answers.
4x+2y=7 , y = 5x
By substitution, the solution of the system of equations, 4x + 2y = 7 and y = 5x, is (1/2 , 5/2).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in x and y,
4x + 2y = 7 (equation 1)
y = 5x (equation 2)
Since the second equation is already expressed in y in terms of x, substitute the second equation to the first equation.
4x + 2y = 7 (equation 1)
4x + 2(5x) = 7
4x + 10x = 7
Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.
4x + 10x = 7
14x = 7
x = 1/2
Substitute the value of x in the second equation and solve for y.
y = 5x
y = 5(1/2)
y = 5/2
Hence, the solution of the given system of equations is (1/2 , 5/2).
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Find x and AB if B is between A and C, AB=3x, BC=14, and AC=41.
The value of x is 9 and the measure of AB is 27.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
We need to Find x and AB if B is between A and C,
Given that AB=3x, BC=14, and AC=41.
AB + BC = AC
3x+14=41
3x=27
X=9
Now substitute to find the AB;
AB=3(9)
AB =27
Therefore the value of x is 9 and the measure of AB is 27.
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Find the area under the normal curve between the values z=-2.61 and z=0.4
Round your answer to 4 decimal places.
Answer:
0.6508
Step-by-step explanation:
The standard normal distribution has a mean μ= 1 and standard deviation σ = 0
The area under the normal curve for any z value say Z i.e. P(z ≤ Z) can be read off from the Standard Normal Tables or just use a statistical calculator
Using a calculator is best
I see the lower z score as - 2.61 and the upper z score as 0.4
P(-2.61 ≤ z ≤ 0.4) = P(0.4) - P(-2.61)
P(z ≤ 0.4) = 0.65542
P(z ≤ -2.6) = 0.0045271
P(z ≤ 0.4) - P(z ≤ -2.6) = 0.65542 - 0.0045271 = 0.6507588 = 0.6508 rounded to 4 decimal places
(Note: some calculators are able to directly compute the area between two z values)
how many groups of 3/8 are in 1
Answer:
Step-by-step explanation:
2 2/3
Help me pls I need help with this or else I won,t pass pls help
Answer:
17
Step-by-step explanation:
put the point on 17 on the number line
Answer:
17
Step-by-step explanation:
12-(-5) = 12+5. Two negatives create a positive. 12+5=17