The answer is D. x = 32 and x = 0
============================================================
Explanation:
Think of x-16 as y. In other words, let y = x-16
We have (x-16)^2 = 256 become y^2 = 256.
Solve for y to get y = 16 or y = -16. You apply the square root to both sides. Don't forget about the plus/minus. This is because (-16)^2 = (-16)*(-16) = 256. We square the negative as well.
--------
If y = 16, then y = x-16 solves for x to get
y = x-16
16 = x-16
x-16 = 16
x = 16+16
x = 32 is one solution
---------
Plug in y = -16 and isolate x
y = x-16
x-16 = y
x-16 = -16
x = -16+16
x = 0 is the other solution
----------
We can check each answer by plugging them back into the original equation
Let's try x = 0
(x-16)^2 = 256
(0-16)^2 = 256
(-16)^2 = 256
256 = 256 ... works
Now try x = 32
(x-16)^2 = 256
(32-16)^2 = 256
(16)^2 = 256
256 = 256 ... also works; both answers have been confirmed
If the federal government collects $1500 from every tax payer but spends $2500 on each tax payer every 12 months what is a function that would describe the amount of money earned by the government
Answer:
The government loses $1000 per tax payer, according to the following function:
[tex]y(x) = -1000*x[/tex]
Where "y" is the total money earned by the government and "x" is the number of tax payers.
Step-by-step explanation:
Let's call the monetary balance of the government after one year "y", where "x" is the number of tax payers. Since each tax payer, "x", pays a total of $1500 every year, but the government spends $2500 with each one of them, then we can build a function "y(x)", with the value of collected tax being positive while the cost of each tax payer is negative, as shown below:
[tex]y(x) = 1500*x - 2500*x\\y(x) = x*(1500 - 2500)\\y(x) = -1000*x[/tex]
The government loses $1000 per tax payer.
1⁄7 + 1⁄2 + 3⁄4 =jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:j=39/28 or 1.392857 or 1 11/28
Step-by-step explanation:
I assume that you are looking for j
1⁄7 + 1⁄2 + 3⁄4=j
9/14+3/4
39/28
Determine the x-intercepts of the following equation.
(-x + 5)(-x - 2) = y
(-10,0
(5,0) and (-2,0)
(0,10)
(0, -10)
(5,0) and (2,0)
O(0,5) and (0, -2)
Answer:
(5,0) and (-2,0)
Step-by-step explanation:
In order to find the x intercept, the y value has to be zero, this automatically eliminates several of the options. What you can do is plug in 0 for y and see what the answer is. If you get stuck, you can also guess and check.
The door to your bathroom has never closed well. In fact, every time you try to use the bathroom, the cats bust open the door because it simply won’t latch. You look at the door and it appears that the door frame is slightly tilted. The person who built your house claims that can’t be true because he measured your door frame and found it be an exact right angle. He claims what you’re seeing is an optical illusion. If you knew the door frame measurements were as pictured to the right, did the builder install your door frame correctly at a right angle?
Answer:
If the door was at the right angle then that means it is not an optical illusion, but if the door is straight then that means the door is not at a right angle so it's an optical illusion.
Step-by-step explanation:
Maybe if the door was straight, but you saw it at a right angle then maybe you were laying down, you were sick, seeing things or you drank a lot of alcohol that day. If it was a right angle on that day then it was not an optical illusion.
Plane V and Plane J intersect at which of the following?
they intesect at line a
Work out the length x.
+
7.5 cm
16 cm
Answer:
x ≈ 17.67 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 16² + 7.5² = 256 + 56.25 = 312.25 ( take the square root of both sides )
x = [tex]\sqrt{312.25}[/tex] ≈ 17.67 ( to 2 dec. places )
The measure of hypotenuse length x would be 17.67 cm
What is Pythagoras Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|² = |AB|² + |BC|²
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Using the Pythagoras' identity in the right angled triangle.
hypotenuse² = perpendicular² + base²
x² = 16² + 7.5²
x²= 256 + 56.25
x²= 312.25
Now take the square root of both sides
x = √312.25
x = ≈ 17.67 ( to 2 dec. places )
Therefore, the measure of hypotenuse length x would be 17.67 cm
Learn more about Pythagoras theorem here:
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Josh mixed 2 cartons of orange juice, 3 bottles of soda waterland 6 cans of
cocktail fruits to make a fruit punch for the Christmas party. Each carton of
juice is 1 gallon and 3 quarts. Each soda water bottle contains quarts, The
cans of cocktail fruit are 2 pints each. How much (
measured in gallons) of
fruit punch did Josh made?
Answer:
9.5 gallons
Step-by-step explanation:
Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of
cocktail fruits to make a fruit punch.
Each carton of juice is 1 gallon and 3 quarts.
Therefore, 2 cartons will be:
2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts
1 quart = 0.25 gallon
6 quarts = 6 * 0.25 = 1.5 gallons
Therefore, Josh poured 3.5 gallons of orange juice.
Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.
Therefore, the number of gallons that the soda water bottle contains is:
3 * 6 * 0.25 = 4.5 gallons
The cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.
1 pint = 0.125 gallon
2 pints = 0.25 gallons
=> 6 cans of cocktail fruit is:
6 * 0.25 = 1.5 gallons
The amount of fruit punch that Josh made is the sum of all components:
3.5 + 4.5 + 1.5 = 9.5 gallons
Using the appropriate arithmetic operation, the total measure of the fruit punch in gallons is 9.5 Gallons
Recall :
1 quartz = 0.25 gallons 1 pint = 0.125 gallonsOrange juice :
2 cartons = 2(1.75) = 3.5 gallons
Soda water :
3 bottles = 3(6 × 0.25) = 4.5 gallons
Cocktail juice :
6 cans = 6(2 × 0.125) = 1.5 gallons
Total gallons in mixture :
(3.5 + 4.5 + 1.5) = 9.5 gallonsLearn more : https://brainly.com/question/25581049
Solve the following equation for x.
15x^2 – 46x + 16 = 0
Answer:
X=2/5,8/3
Step-by-step explanation:
Look on Tiger Algebra for step by step. JUst put the problem into g-oogle.
Answer:
X=8/3,2/5
Step-by-step explanation:
The total time that Ken and Bob worked in a week was 63 hours. Ken worked 36 hours. What is the ratio of Bob's working hours to Ken and Bob's total working hours?
Answer:
33
Step-by-step explanation:
beacause you have to minus to find th aspect ratio I beleive.
12. Which of the following numbers is
contained in the solution set of the
inequality 1-5x + 35| > 20?
A
-1
B
3
С
9
D
10
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If mr. burts spent $3.87 on grapes from kroger and bought 3.05 pound,How much was each pound? A)1.25 B)$2.80 C)$ PLZ HURRY
Answer:
A) $1.25
Step-by-step explanation:
If you divide the 3.87 by 3.05 you will approximately get 1.25
Help please! look at the attachment
Answer:
B
Step-by-step explanation:
Help me ASAP please.
If two lines intersect and one angle measures 25°, what are the measures of the other angles?
25
75
155
125
Answer:
Two Lines that intersect from TWO angles. The sum of the Two Angles is always 180 degrees.
180 Minus 25 = 155.
Step-by-step explanation:
On a coordinate plane, a horizontal line goes through y = negative 3. Using the graph, determine the value of the slope. What is the slope? -3 0 3 no slope What is true about the graph? All x value are the same All Y values are the same Each X and Y value is different.
Answer:
The slope is 0/ No slope.
All Y values are the same
Step-by-step explanation
just took a test on it
Select the correct answer.
What is the simplest form of the ratio 11 : 16?
A.
1:6
B
5:8
c.
11.16
D.
22:32
Answer:
C
Step-by-step explanation:
The ratio 11:16 cannot be simplified
Answer:
Its already in simplest form
Step-by-step explanation:
You can think of it as a fraction. you cant divide 11 by anything besides 1 and itself. 11 doesnt go into 16 at all, completely. So the ratio cant be simplified
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.
Answer:
is greater than
Step-by-step explanation:
The answer is C less than we got it wrong
Step-by-step explanation:
Please help me Simplify 5+(z+2)
Maybe try to simplify
Answer:
7+z
Step-by-step explanation:
you can open the parentheses right away because it is addition. so you are left with 5+z+2. you can add both 5 and 2 together, so the final result will be 7+z
Sean is travelling. He has a flight of 4 hours 20 minutes, a stopover of 35 minutes and then another flight of 3.75 hours. What is his total travel time? Give your answer in hours and minutes.
Answer:
Th=8[tex]\frac{2}{3}[/tex]h Tmin=520min
Step-by-step explanation:
4h 20min = 13/3h = 260min
35min = 7/12h
3.75h = 15/4h = 225min
Total in min: 225+260+35=520min
Total in h: 520/60=52/6=8[tex]\frac{4}{6}[/tex]=8[tex]\frac{2}{3}[/tex]h
Triangle ABC has a perimeter 22cm AB = 8cm BC =8cm By calculation, deduce whether triangle ABC is a right angle triangle. NEED AN ANSWER ASAP
Answer:
No ABC is not a triangle
Step-by-step explanation:
Perimeter = 22 cm
AB = 8 cm ; BC = 8 cm
AC = 22 - ( 8 + 8 ) = 6 cm
But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......
Had it followed the theorem , it could have been a right angle triangle...
What is the length of the diagonal, d, of the cube shown below?
Round your answer to the nearest tenth
Answer:
103.8
Step-by-step explanation:
Length of diagonal of a cube is given by the formula:
[tex]d = side \times \sqrt{3} \\ \\ \therefore \: d = 60 \times \sqrt{3} \\ \\ \therefore \: d = 60 \times 1.73 \\ \\ \therefore \: d = 103.8 \: units[/tex]
The length of the diagonal of the cube is 103.9 units.
What is a cube?
A cube is a three dimensional figure or object which has all the side with equal length.
The length of each side of the cube = a = 60 units.
Therefore, the length of the diagonal of the cube = d = a[tex]\sqrt{3}[/tex] = 60[tex]\sqrt{3}[/tex] units = 103.9 units.
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PLZ PLZ PLZ HELP HELP HELPPP 14 Find the area of the semicircle. Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.
Answer:
The area of semi-circle is 2π units²
Step-by-step explanation:
if f(x) is a linear function and the domain of f(x) is the set of all real number which statement cannot be true?
Options:
The graph of f(x) has zero x-intercepts. The graph of f(x) has exactly one x-intercept. The graph of f(x) has exactly two x-intercepts. The graph of f(x) has infinitely many x-intercepts.Answer:
(C)The graph of f(x) has exactly two x-intercepts.
Step-by-step explanation:
Given a linear function f(x)=ax+b where the domain of f(x) is the set of all real numbers, x.
(A)If f(x)=y, the graph of f(x) will have zero x-intercepts except at y=0 which is the equation of the x-axis.
(B)A linear function can only intersect the x-axis at exactly one point.
(D)When the linear function is f(x)=0, all points of x are x-intercepts of f(x). Therefore f(x) will have infinitely many x-intercepts at this point.
However:
A straight line cannot intersect the x-axis twice, therefore the graph of f(x) cannot have two x-intercepts.
The statement which cannot be true is Option C.
Answer:
C
Step-by-step explanation:
yes
c) work out the value of 3² + 2³
d) work out the value of 2⁴ - 3²
Answer:
a) 2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64
b) 7^4 = 7*7*7*7 = 2401
c) 3^2 + 2^3
= 9 + 8
= 17
d) 2^4 - 3^2
= 16 - 9
= 7
How many triangles can be formed
Answer:
2
Step-by-step explanation:
2
If /61 is the longest side length in the triangle, find the value of x that makes the triangle above a right triang
answer in simplest radical form.
A. 5
B. 6
C. 2V15
D. 6V10
Answer:
A. 5
Step-by-step explanation:
The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.
From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:
(√61)² = (x)² + (x + 1)²
x² + x² + 2x + 1 = 61
2x² + 2x + 1 - 61 = 0
2x² + 2x -60 = 0
Dividing through by 2 gives:
x² + x - 30 = 0
x² + 6x - 5x - 30 = 0
x(x + 6) -5(x + 6) = 0
(x-5)(x+6) = 0
x-5 = 0 or x+6 = 0
x = 5 or x = -6
Since the length of a side cannot be negative, x = 5 units
Answer:
The correct answer is A.
Step-by-step explanation:
X=5
HELP ME PLEASE ITS NOT THAT HARD
Answer:
tan A = 28/45
Step-by-step explanation:
opposite side
the tangent function is defined as tan A = ------------------------
adjacent side
Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45. Thus, the tangent of angle A is
tan A = 28/45
Find the difference.
(5x2 + 2x + 11) - (7 + 4x - 2x2)
A.
3x2 + 6x + 4
B.
9 - 2x - 2x2
C.
3x2 - 2x + 4
D.
7x2 - 2x + 4
Answer:
D
Step-by-step explanation:
Answer:
D.) 9 − 2x − 2x2
CDEF is a kite and m∠FCE = 46. Find m∠3.
a. 32
b. 44
c. 23
d. 46
HEYA BUDDY
.
.
YOUR ANSWER IS 44
.
HOPE IT WILL HELP YOU UP
HAVE A GREAT DAY
ĶÁŤÉ
Is 1/2x-4 a function?
Answer:
Yes it is
Step-by-step explanation:
Each x value is represented by exactly one y value.
Please Help!!! Examine parallelogram ABCD. Opposite sides AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ have lengths of 4y and y+42, respectively. Determine the value of y and answer the following question. Quadrilateral A B C D with side measures as given in the problem. What is the length of AB¯¯¯¯¯¯¯¯?
Answer:
y = 14
Length of AB = 56 units
Step-by-step Explanation:
==>Given:
Parallelogram ABCD, with the following lengths:
AB = 4y
DC = y + 42
==>Required:
a. Value of y
b. Length of AB
==>Solution:
i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.
To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)
Thus,
4y = y + 42
Subtract y from both sides
4y - y = y + 42 - y
3y = 42
Divide both sides by 3
3y/3 = 42/3
y = 14
ii. Length of AB = 4y
Plug the value of y
Length of AB = 4(14)
Length of AB = 56 units