Answer:
109is the answer
Step-by-step explanation:
Hope it helps you
Solve for x
(X+6)^2 = 8x+36
Answer:
x=0,x=-4
Step-by-step explanation:
(x+6)(x+6) =8x+36
x^2+12X+36-8X-36=0
X^2+4X=0
x(X+4)=0
You will get x=0 ,x=-4
Answer: x1=-4,x2=0
Step-by-step explanation:
x+6^2=8x+36
Expand the expression
x^2+12x+36=8x+36
Cancel equal terms
x^2+12x=8x
Move the variable to the left
x^2+12x-8x=0
Collect like terms
x^2+4x=0
Factor the expression
x x (x+4) = 0
Separate into possible cases
x=0
x+4=0
Solve the equation
x=0
x=-4
The equation has 2 solutions
x1=-4,x2=0
A 100kg bag contains peanuts and almonds. Peanuts are priced at $2 per kg and almonds are priced at $2.40 per kg. If the whole bag is priced at $2.08 per kg, how many kg of peanuts and almonds are there in the bag?
Answer:
Step-by-step explanation:x+y=100
(2x+2.4y)/100=2.08
x=80
y=20
How many three-digit multiples of 6 have the sum of digits divisible by 6 if all digits are different?
WILL GIVE BRAINILEST TO IF ANSWERED CORRECTLY PLS
Draw a line segment with endpoints M and R. Now draw a parallel line segment that is the same length as segment MR with the endpoints M′ and R′ in the same order.
Which answer correctly describes the transformation from segment MR to segment M′R′?
Answer:
The transformation that map line RS to line R"S" is " rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1)" ⇒ B
Step-by-step explanation:
Let us revise some transformationIf the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y) ⇒ R(180, O) (x, y) → (-x, -y) If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k) ⇒ T (x, y) → (x, y + k)∵ The coordinates of the point R = (-2, 4)∵ The coordinates of point R" = (3, -3)→ Both coordinates in R" have opposite signs then R∴ R rotated 180° about the origin ⇒ using the 1st rule above∴ R' = (2, -4)→ Find the difference between the x-coordinate of R" and x-coordinate of R'∵ xR" - xR' = 3 - 2 = 1→ By using the 2nd rule above∴ R' translated 1 unit to the right → Find the difference between the y-coordinate of R" and y-coordinate of R'∵ yR" - yR' = -3 - (-4) = -3 + 4 = 1→ By using the 3rd rule above∴ R' translated 1 unit up∴ The rule of translation is T(x, y) ⇒ (x + 1, y + 1)Let us use these 2 rules on S to find S"∵ The coordinates of the point S = (-4, -1)∵ S is rotated 180° around the origin→ By using the 1st rule above, opposite the signs of its coordinates∴ S' = (4, 1)∵ S' translated 1 unit right→ By using the 2nd rule above, add its x-coordinate by 1∵ S' translated 1 unit up→ By using the 3rd rule above, add its y-coordinate by 1∴ S" = (4 + 1, 1 + 1)∴ S" = (5,2)→ That means the rules of transformation of point R is rightThe transformation that map line RS to line R"S" is " rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1)"
Translation
Explain Explain Explain Explain
ind the equation of the line tangent to the graph of the given function at the point with the indicated x-coordinate.
f(x) = (x0.5 + 5)(x2 + x); x = 1
The equation of the line tangent to the curve is y = 19 · x - 7.
How to determine the equation of the line tangent to a curveIn this problem we need to find the equation of a line tangent to the function f(x) = (√x + 5) · (x² + x) for x = 1, that is, a line that only passes through one point of the entire curve. The equation of the line is introduced below:
y = m · x + b
Where:
m - Slopeb - InterceptThe slope of the line can be found by evaluating the first derivative of f(x) for x = 1:
f'(x) = (1 / 2√x) · (x² + x) + (√x + 5) · (2 · x + 1)
f'(1) = (1 / 2) · 2 + 6 · 3
f'(1) = 1 + 18
f'(1) = 19
The y-coordinate of the curve is:
f(1) = (√1 + 5) · (1² + 1)
f(1) = 6 · 2
f(1) = 12
Lastly, we determine the intercept of the tangent line:
b = y - m · x
b = 12 - 19 · 1
b = - 7
The equation of the line tangent to the curve is y = 19 · x - 7.
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The announcer said, ingrid won the 100 metre race in 13.9 seconds. Her time was originally measured to 2 decimal places. What was the slowest time she could have run?
Answer:
13.94 seconds
Step-by-step explanation:
The greatest number with 2 decimal places that can be rounded to 13.9 is 13.94.
Answer: 13.94 seconds
The announcer said that Ingrid has won the race in 13.9 seconds, then the slowest time she could have run is 13.94 seconds.
What is approximation?Something similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated.
By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.
13.94 is the largest number that can be rounded to the nearest two decimal places and be equal to 13.9.
Because after the second decimal, that is 4 the number has to increase as per the rules of approximation. That's why the number 13.94 up to two decimal places is correct.
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In its Fuel Economy Guide for 2019 model vehicles, the Environmental Protection Agency gives data on 1259 vehicles. There are a number of high outliers, mainly hybrid gas‐electric vehicles. If we ignore the vehicles identified as outliers, however, the combined city and highway gas mileage of the other 1231 vehicles is approximately Normal with mean 22.8 miles per gallon (mpg) and standard deviation 4.8 mpg.
How high must a 2019 vehicle's gas mileage be to fall in the top 15% of all vehicles?
Answer:
I’m not so sure
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases. Slopes are equal; therefore, segments are parallel
The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases
How to prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases?From the figure, we have the following coordinates
B = (a, 0)
D = (d, c)
The midpoint of line segment BD is calculated as
BD = 1/2 * (x1 + x2, y1 + y2)
So, we have
BD = 1/2 * (a + d, 0 + c)
This gives
BD = ((a + d)/2, c/2)
Also, we have:
Lines MN and AB are horizontal lines
This means that they have a slope of 0
i.e.
Slope of AB = Slope of MN = 0
Parallel lines have equal slope
Hence, the segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases
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There are 14 reams of paper in a case. How many total reams of paper are in 15 cases?
Work Shown:
1 case = 14 reams
15*(1 case) = 15*(14 reams)
15 cases = 210 reams
Answer:
There are 210 reams of paper in 15 cases
Step-by-step explanation:
1 case = 14 reams
To find out the total of reams in 15 cases, multiple both sides by 15
15 x 1 case = 15 x 14 reams
15 cases = 210 reams
Marvin Co. sells pens ($6) and flashlights ($10). If total sales were $624 and customers bought 7 times as many pens as flashlights, what would be the number of pens sold?
Marvin Co. sells a total of 12 flashlights and 84 pens
Price of pen sold by Marvin Co. = $6
Price of flashlight sold by Marvin Co. = $10
Total sales = $624
Let the number of flashlights be x and the number of pens be y
Formulating the equations:
10x + 6y = 624
It is given that customer bought 7 times as many pens as flashlights, therefore:
y = 7x
Putting y = 7x in the equation we get,
10x + 6(7x) = 624
10x + 42x = 624
52x = 624
x = 12
So, the number of flashlights sold is 12 and the number of pens sold is 84
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help solve show how to!!!
M(-7)=|3x - 2| + 2
Answer:
M=|3x-2|+2/7
Step-by-step explanation:
Find the value of M:
Divide each term by -7. Simplify.
M=|3x-2|+2/7
Find the value of x:
Simplify both sides of the equation, then isolate the variable.
x=-7M/3 OR x=7M/3+4/3
I hope this helps! I tried. Hope you get it right!
Does doubling the height of a cylinder have the same effect on the volume of a cylinder as doubling the radius? Explain
Answer:
No, doubling the height will just double the volume.
Step-by-step explanation:
It doubles the volume. Volume of a cylinder: volume= \pi *radius squared * height.
Answer:
No, it does not have the same effect. Doubling the height of a cylinder doubles the volume, while doubling the radius generates a volume 4 times greater.
Step-by-step explanation:
:)
Can someone provide an example and counter example of a function ?
Answer:
A weekly salary is a function of the hourly pay rate and the number of hours worked
Step-by-step explanation:
a function is a map assigning values of a result or solution set to values of a set of initial or starting values.
we typically name these starting values x and the solution values f(x) or y (the results "created" out of x).
we often say
y = f(x)
and provide an expression or table to explain the logic of the mapping between x and f(x).
the only rule to be a function and not just a general relationship between these 2 sets :
every value in the set of starting values must have exactly one assigned solution value. not 0, not 2 (or more). one and only one.
but yes, different values of x can have the same assigned solution value. that is not a problem for a function. it just cannot be the other way around. there cannot be different solution values assigned to the same value of x.
so, a typical example of a function is a line.
e.g.
y = f(x) = 5x + 12
for every value of x you could think of (and everything else) there is exactly one result value calculated.
or the score board in a sports event :
athlete 1 : 12 points
athlete 2 : 24 points
athlete 3 : 20 points
athlete 4 : 22 points
...
the athletes are the "x". and their associated points the "f(x)" or "y".
no athlete is listed multiple times with different scores.
a typical example of not being a function is a circle. for almost every value of x inside the circle (that means for almost every point of the horizontal diameter of the circle) there are 2 values of y (that means points on the arc of the circle) : one above and one below the diameter.
or a strange score board like
athlete 1 : 12 points
athlete 2 : 24 points
athlete 3 : 20 points
athlete 2 : 22 points
athlete 4 : 22 points
...
athlete 2 is listed twice with 2 different scores.
so, this is therefore not a function.
The sum of two numbers is 58. The first number is 8 less than half the second number. Let c rep
number. Let d represent the second number. Which statements about solving for the two numbe
all that apply.
The equation c+d=58 represents the sum of the two numbers.
The equation c+d=58 represents the sentence "The first number is 8 less than half the seco
The equation C=d-8 represents the relationship between the two numbers.
The equation C=d-8 represents the sum of the two numbers.
The number d is 14.
The number c is 44.
The number is 14
Answer:
The following are the correct choices
First : The equation c + d represents the sum of the two numbers
Third: The equation c = (1/2)d - 8 represents the relationship
and the last choice : The number c is 14
Step-by-step explanation:
Translate the word problem into equations and solve for c and d where c is the first number and d the second
Sum is 58 translates to
c + d = 58 (1) ===> First choice
First number is 8 less than half the second number translates to
c = (1/2)d - 8 (2) ==> Third choice
Multiply equation (2) by 2 on both sides giving
2c = d - 16 ==> 2c - d = -16 (3)
Add equations (1) and (3) giving
c + d + 2c - d = 58-16
3c = 42
c = 42/3 = 14 ===> Last choice
Substituting for c in equation (1) gives
14 + d = 58
d = 44
Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.
(x,y) =(3, 10) and (x,y) = (9, -2) are points on a line
Answer:
Step-by-step explanation:
Step 1: We must locate the slope, by using the slope formula, which is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
When we plug it in we get:
[tex]\frac{-2-10}{9-3}[/tex]
Which simplifies to a -2
Step 2: We must plug in our values in the point-slope formula which is:
[tex]y-y1=m(x-x1)[/tex]
We can plug in (3,10) or (9,-2). It doesn't matter which one, we'll end up with the same answer. For this example, we'll use (3,10)
When we plug in our values we will get:
[tex]y-10=-2(x-3)[/tex]
Step 3: Now we just need to put our equation in slope-intercept form
[tex]y-10=-2(x-3)[/tex]
[tex]y-10=-2x+6\\y=-2x+16[/tex]
Therefore, our answer is [tex]y=-2x+16[/tex]
Hope this helps!!!
Use the shape to answer the question.
7 cm
7 cm
7 cm
9 cm
9 cm
what’s the perimeter
Answer:
39cm
Step-by-step explanation:
7+7+7+9+9 = 39 - hope this works: )
find the area of a 36 inch tv with the aspect ratio 16:9
A ratio shows us the number of times a number contains another number. The area of the TV will be 729 inches².
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the aspect ratio of the 36-inch tv is 16:9. Therefore, the width of the TV will be,
Length of the TV / Width of the TV = 16 : 9
36 inches / Width of the TV = 16 : 9
Width of the TV = 20.25 inches
Now, the area of the TV will be,
Area = Length of the TV × Width of the TV
= 36 inches × 20.25 inches
= 729 inches²
Hence, the area of the TV will be 729 inches².
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Please help me answer this question, I’ve tried a billion things and I keep getting it wrong
If X = 6 units, Y = 8 units, and h = 6 units, what is the area of the trapezoid?????????
-7th
The area of the trapezoid is 42 square units
How to determine the areaThe formula for area of a trapezoid is expressed as;
Area = a + b/ 2 h
Where;
a is the length of the side = 6 unitsb is the length of its base = 8 unitsh is the height of the trapezoid = 6 unitsNow, to determine the area of the trapezoid, we need to substitute the values of the length of the side and its base with the height of the trapezoid.
Substitute the value into the equation
From the above information, we have that;
Area = 6 + 8/ 2 (6)
Find the quotient
Area = 14/ 2(6)
Area = 7(6)
Multiply through
Area = 42 square units
We have that the area of the trapezoid takes the value 42 square units
Thus, the area of the trapezoid is 42 square units
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The graph off (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of h (in red). The functionfis defined by f(r) =/. Write down the expression for h().
Answer: the slope would be 7
Step-by-step explanation:
Which type of statement and connective are associated with p V q?
a) Conditional; if ... then
B)Negation; not
c) Disjunction; or
d) Conjunction; and
Answer:
what will happen if we bought corrupt people
Three bags of beads have masses of 10.3 grams 5.23 grams and 3.74 grams complete the bar diagram to find the total mass of all the beads
Therefore, the total mass of all bags of beads is 19.27 grams
Given masses of three bags of beads as
Mass of beads in bag1 = 10.3 grams
Mass of beads in bag2 = 5.23 grams
Mass of beads in bag3 = 3.74 grams
We have to calculate the total mass of all the beads as below
The total mass of all bags of beads = mass of bag1 + mass of bag2 + mass of bag3
= 10.3 + 5.23 + 3.74
= 19.27 grams
Therefore, the total mass of all bags of beads is 19.27 grams
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Circumference is:
a) The number of square units
that cover the surface of a circle.
b) 3.14
c) The measurement around
the outside of a circle.
d) none of the above
Enter
The length L of a Brazilian snake m months after birth is
L(m) = 3(m - 8)-5 inches.
(a) Use function notation to give the equation that needs to be solved in order to find how old the snake is when it is 5 feet 1 inches long.
The snake would be 30 months old when his length is 5 feet 1 inches.
• Algebra is a branch in mathematics which deals with symbolic and the rule for manipulation of those symbols. Algebra is also divided into some sub branches such as advanced algebra, abstract algebra , linear algebra, elementary algebra etc.
• The basics of algebra contains numbers, variables, constants, expressions and equations. The basic operations in mathematics are addition, subtraction, multiplication, division.
The length L of an Brazilian snake m months after birth is given by
L(m) = 3(m-8) -5 inches
We need to find how much the snake is old the snake Is when it is 5 feet 1 inches long
L(m) = 5 feet 1 inches
We know that 1 feet = 12 inches
L(m) = 5*12+1
= 61 inches
61 = 3(m-8)-5
66 = 3(m-8)
m-8 = 22
m = 30
The snake would be 30 months old when his length is 5 feet 1 inches.
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Which statements describe the key features of the graph of f(x) = -
The graph has a y-intercept at -2.
The graph has an x-intercept at -6.
The graph has a vertical asymptote at x = 3.
The graph has a vertical asymptote at x = -3.
The graph has a horizontal asymptote at y = 1.
18-3x-x? Check all that apply.
x²-9
When graphed y=3x+5 will it increase or decrease
It would increase positively because the slope is 3
15) Falcons can dive at speeds of up to 318 feet per second. Convert this speed to miles per
hour.
Answer:
Step-by-step explanation:
318 feet per second
So 19080 feet per minute
So 1,114,800 feet per hour
So 216.818181... miles per hour
Solve m–2(m–4)≤3m for m. m≤2 m≥2 m≤−2 m≥−2
Answer:
it equals 4
Step-by-step explanation:
On his first three tests, Devon scored 95, 77, and 96. What score must he get on his fourth test to have an average (mean) of 80 for all four tests?
Answer:
53
Step-by-step explanation:
Add all of number you have right now then pick a number and add it then divide it by 4 and keep going until reach 80
Find f(12) for the given piecewise function:
-18x+20, x < 19
f(x).
-16x²,
x ≥ 19
0-6478
0-5776
O-2304
0-196
Step-by-step explanation:
since 12 < 19, we have to use the first function definition :
f(12) = -18×12 + 20 = -216 + 20 = -196