Answers
Answer:
a). f(0) = 7
b). f([tex]\frac{1}{3}[/tex]) = 6
c). f(-5) = 22
d). x = 9
Step-by-step explanation:
The given function is f(x) = -3x + 7
a). For x = 0
f(0) = -3(0) + 7
= 0 + 7
= 7
b). For x = [tex]\frac{1}{3}[/tex]
f([tex]\frac{1}{3}[/tex]) = [tex](-3)(\frac{1}{3})+7[/tex]
= -1 + 7
= 6
c). For x = (-5)
f(-5) = -3(-5) + 7
= 15 + 7
= 22
d). For f(x) = (-20)
-20 = -3x + 7
3x = 20 + 7
3x = 27
x = 9
Related Questions
Which number is less than 2.16? 2.3, 2.09, 2.93, or 2.9
Answers
Answer:
2.09
Step-by-step explanation:
Because:
2.3=2.30
2.9=2.90
and 2.93 is just bigger
therefore your answer is 2.09
Answer:
2.09
Step-by-step explanation:
2.93 > 2.9 > 2.3 > 2.16 > 2.09
2.09 is less than 2.16 mainly due to the fact that 9 is in the hundredths place. 16 is also in the hundredths place, but 9/100 is less than 16/100.
Solve the equation
3p-2q=5
q-1=3p
Answers
Answer:
p = -7/3 and q = -6
Step-by-step explanation:
3p-2q=5
Substitute q-1 for 3p
q-1-2q=5
-q-1=5
q=-5-1=-6
Substitute the value of q = -6 in q-1=3p
-6-1=3p
3p=-7
p = -7/3
2x – 4y = 24
x + 3y = 7
Solve by elimination
Answers
X+3y=7 (-2)
2x-4y=24
-2x-6y=-14
——————-
0 -10y=10
Y=-1
Reemplazar y en la ecuación
2x-4(-1)=24
2x+4=24
2X=20
X=10
Y=-1, X= 10
Hope this helps
Describe how you would graph a figure that is translated by (x - 4, y + 2).
Answers
Answer:
see explanation
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 4, y + 2 )
This means subtract 4 from the original x- coordinate and add 2 to the original y- coordinate, that is
a point (4 , - 4 ) → (4 - 4, - 4 + 2 ) → (0, - 2 )
The resulting graph would result in moving input x by --4 horizontally and Output y by +2 vertically.
What is a translation of a point?Translations are defined by saying how much a point is moved to the left/right and up/down. Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.
Given the point (x - 4, y + 2), we can clearly observe that the graph would move vertically by +2 units while the input will be in the -ve x-axis direction from right to left and thus will move negatively by -4.
Hence, The resulting graph would result in moving input x by --4 horizontally and Output y by +2 vertically.
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0.1.13
Your vacation hotel is only 1068 feet from the historic Colonial Courthouse, but it is mile to the Fine Arts Gallery. Find the difference in the distance between the
Courthouse and your hotel and the Fine Arts Gallery and your hotel in feet. (Note that the units are different.)
The difference in distance is feet.
Answers
Answer:
[tex]Distance = 1572\ feet[/tex]
Step-by-step explanation:
Given
Courthouse = 1068 feet
Gallery = 0.5 mile ----- Missing Part of Question
What the question implies is to
determine the distance between these two locations
This is done as follows:
[tex]Distance = |Courthouse - Gallery|[/tex]
Substitute values for Courthouse and Gallery
[tex]Distance = |1068\ feet - 0.5\ mile|[/tex]
Convert 0.5 mile to feet (1 mile = 5280 feet)
[tex]Distance = |1068\ feet - 0.5 * 5280\ feet|[/tex]
[tex]Distance = |1068\ feet - 2640\ feet|[/tex]
[tex]Distance = |-1572\ feet|[/tex]
[tex]Distance = 1572\ feet[/tex]
Hence, the required distance is 1572 feet
un angulo θ mide 750° y es coterminal con
Answers
Answer:
El ángulo de 750º es coterminal con los ángulos de 29.88º y 389.88º.
Step-by-step explanation:
Antes de comenzar este enunciado, cabe recordar que dos ángulos en posición estándar son coterminales cuando tiene un lado terminal común, además que el sistema sexagesimal tiene un período de 360º, entonces todo ángulo satisface la siguiente condición:
[tex]\theta = 360\cdot x[/tex], [tex]\forall \,x \in \mathbb{R}[/tex].
Si sabemos que [tex]\theta = 750^{\circ}[/tex], el múltiplo [tex]x[/tex], que indica el número de revoluciones dadas es:
[tex]x =\frac{\theta}{360}[/tex]
[tex]x = \frac{750^{\circ}}{360^{\circ}}[/tex]
[tex]x = 2.083[/tex]
El número de ángulos coterminales equivale al número entero de revoluciones. Y la posición coterminal más pequeña queda determinada por el residuo, que es igual a la diferencia entre el total de revoluciones (2.083) y el número de revoluciones enteras. (2) En este caso, existen dos angulos coterminales cuyas magnitudes determinamos a continuación:
[tex]\theta_{1} = (0 + 0.083)\cdot (360^{\circ})[/tex]
[tex]\theta_{1} = 29.88^{\circ}[/tex]
[tex]\theta_{2} = (1 + 0.083)\cdot (360^{\circ})[/tex]
[tex]\theta_{2} = 389.88^{\circ}[/tex]
El ángulo de 750º es coterminal con los ángulos de 29.88º y 389.88º.
Distribute the negative sign: -(x - 6y)
Answers
Answer:
-x + 6y.
Step-by-step explanation:
-(x - 6y)
= -1*x -1*-6y
= -x + 6y
43% of 300 is what number
Answers
Find 10% (30) then times by 4 to find 40% (120)
Find 1% (3) then times by 3 to find 3% (9)
Add the 40% to the 3% (120 + 9)
= 129
what is the distance between (8,-3) and (4,-7) ?
Answers
Answer:
The answer is
[tex]4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(8,-3) and (4,-7)
The distance between them is
[tex]d = \sqrt{ ({8 - 4})^{2} + ({ - 3 + 7})^{2} } \\ = \sqrt{ ({4})^{2} + ( { - 4})^{2} } \\ = \sqrt{16 + 16} \\ = \sqrt{32} [/tex]We have the final answer as
[tex]4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units[/tex]Hope this helps you
Which of the given values is a solution to the equation −4u+3=4u−5
Answers
Answer:
u=-8
Step-by-step explanation:
-4u+3=4u-5
-4u-4u=-5-3
*Divide U by four and we are left with U. Add -5+-3 = -8
u=-8
If PQ=11 and QR=12, what is PR
Answers
Answer:
PR = 23
Step-by-step explanation:
Step 1:
PQ + QR = PR
Step 2:
11 + 12 = 23
Answer:
PR = 23
Hope This Helps :)
-4 + 5x − 7 = 10 + 3x − 2x what eqauls x
Answers
Answer:
X=21/4, or in simplest form 5.25
Step-by-step explanation:
A square garden has an area of 100 square feet. What is the perimeter of the garden? show your work.
Answers
Answer: 40
Step-by-step explanation: 10 • 10 equals 100, so each side is 10. Since a square has 4 sides multiply 4 by 10 which gets you 40.
Perimeter of a square garden is 40.
Here,
A square garden has an area of 100 square feet.
We have to find the perimeter of the square garden.
What is Perimeter of square?
Sum of all four sides of a square is known as Perimeter of a square.
Now,
Let side of a square garden is a.
Area of a square = [tex]side^{2}[/tex] = [tex]a^{2}[/tex]
[tex]a^{2} = 100[/tex]
[tex]a = 10[/tex]
Hence, Perimeter of a square garden = 10 + 10 + 10 + 10
= 40
So, Perimeter of a square garden is 40.
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Which property is illustrated by the following statement? 6 + (x + 8) = ( 6 + x) + 8 Commutative Property of Addition Associative Property of Addition Commutative Property of Multiplication Inverse Property of Addition
Answers
Answer:
Commutative Property of Multiplication, I believe. Hope this helps!
Step-by-step explanation:
Answer:
Associative Property of Addition
A runner can run 2 miles in 10 minutes. At this rate how many miles can he run in 40 minutes
Answers
Answer:
8 miles
Step-by-step explanation:
At a rate of 2 miles in 10 minutes, in 40 minutes he can run 8 miles.
2 / 10 == x / 40
x == (40 * 2) / 10
x == 8
Cheers.
Answer:
Step-by-step explanation:
8
Please answer the question in the photo.
Answers
The equation is sometimes true. When x = 0, 1 or -1, then the equation is true. Otherwise, the equation is false.
====================================================
Explanation:
When it comes to something like "always true" all we need is one counter example to break that statement. Pick something like x = 64 and you'll find that the left hand side becomes
[tex]x^{1/3} = 64^{1/3} = \sqrt[3]{64} = \sqrt[3]{4^3} = 4[/tex]
while the right hand side turns into
[tex]x^3 = 4^3 = 4*4*4 = 64[/tex]
This means the original equation [tex]x^{1/3} = x^3[/tex] updates to [tex]4 = 64[/tex] after plugging in x = 4. We get a false statement making the original statement false when x = 4. So saying "[tex]x^{1/3} = x^3[/tex] is always true" is not correct.
----------------------
The equation is only sometimes true for the x values 0, 1 and -1
Let's try x = 0
[tex]x^{1/3} = x^3\\\\0^{1/3} = 0^3\\\\0 = 0[/tex]
we get a true statement confirming x = 0 as a solution
Trying x = 1 leads to
[tex]x^{1/3} = x^3\\\\(1)^{1/3} = 1^3\\\\1 = 1[/tex]
also true. A similar situation happens with x = -1 as well, just that we have negatives this time.
A sample of 2,000 people yielded P(hat) = .52. What is the variance of the population proportion?
a. .0056
b. .0161
c. .0112
d. .00012
Answers
Answer:
d. .00012 or 0.00012
Step-by-step explanation:
The variance of the population proportion formula is given as:
p(1 - p)/n
Where n = sample size
p = population proportion or p(hat)
n = 2000 people
p = 0.52
Variance of the population proportion = 0.52(1 - 0.52)/ 2000
= 0.52 × 0.48 /2000
= 0.2496 /2000
= 0.0001248
Therefore the Variance of the population proportion is approximately = 0.00012
I will give the brainiest
Suppose x = 7 is a solution to the equation 4x - 2(x + a) = 8. Find the value of a that makes the
equation true.
2
6
3
-25
Answers
Answer:
a=3
Step-by-step explanation:
opening the bracket, we have
4x-2x-2a=8
2x-2a=8
x=7
2(7)-2a=8
14-2a=8
collect like terms
-2a=8-14
-2a=-6
divide both sides by -2
a=3
In ΔABC, Cos A = 4/5, cosB = 3/5then a:b:c is
Answers
The ratio is 3:4:5.
Cosine by definition, is adjacent divided by hypotenuse, meaning that the value of the hypotenuse is 5. Then, we are given two other sides that are adjacent to angles A and B, which are 4 and 3 respectively.
This means that there are side lengths 3, 4, and 5, meaning that the ratio of the sides are 3:4:5.
Hope this helps.
頑張って!
5
Your mom is making soup. As you walk through the kitchen, you decide to taste it. You take a spoon out
of th drawer and use it to taste the soup. It is so good that you want another bite. Should you use that
same spoon? Why or why not?
Enter your answer(s) here
Answers
Answer:
no, because the spoon has been in your mouth and saliva has been on the spoon, so no you should no.
Answer: It all depends on your preference
Step-by-step explanation:
Depending on your moms and yours preference using the same spoon wouldn't be that bad. Unless you've slobbered all over the spoon, using the same spoon will not effect the soup in any shape or form.
357,468 =
thousands 468 ones.
Not what I’m looking for maths
Answers
Answer:
Wrong
Step-by-step explanation:
You must be more specfic about how many 1000's
CAN SOMONE PLEASE HELP ME ASAP PLEASEEE!!!
Answers
Answer:
z = 80°
Step-by-step explanation:
The sum of the interior angles would equal to 360°
100° + 60° + 120° = 280°
360° - 280° = 80°
Answer:
z = 80
Step-by-step explanation:
A quadrilateral has angles that sum to 360°
E + C + G + F = 360
100 + 60 + 120 + F = 360
Combine like terms
280 + F = 360
F = 360 - 280
F = 80
We know that ABCD is similar to FECG
This means that the measure of A = measure of F
z = 80
Which expression is equivalent to the given expression? 2x - 11x-6 A. 2(x – 3) (x + 1) B. (2x + 3)(x- 2) C. (2x+ 1)(x- 6) D. 2(x + 3)(x- 2)
Answers
Answer:
Option C. (2x + 1)(x - 6)
Step-by-step explanation:
To know which option is equivalent to 2x² - 11x - 6, we shall simplify the expression as follow:
2x² - 11x - 6
Multiply the 1st term (i.e 2x²) and last term (i.e - 6) together. This is illustrated below:
2x² × - 6 = - 12x²
Next, find two factors of - 12x² such that when we add them together, it will result to the 2nd term (i.e - 11x) in the expression above.
The factors are x and - 12x
Next, replace - 11x with x and - 12x in the expression 2x² - 11x - 6 as shown below:
2x² - 11x - 6
2x² + x - 12x - 6
Next, we shall factorise the expression 2x² + x - 12x - 6 as follow:
2x² + x - 12x - 6
x(2x + 1) - 6(2x + 1)
(2x + 1)(x - 6)
Thus,
2x² - 11x - 6 is equivalent to (2x + 1)(x - 6)
Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103
Answers
Answer:
3.99 10-6
Step-by-step explanation:
This is simply the answer because if you multiply them all out this equation is the smallest number
Answer:
3.99*10^-6
Step-by-step explanation:
Anything taken to a negative power is going to be smaller than the original number because x^-y=1/(x^y). So since 3.99*10^-6 is smaller than 4.4*10^-5, the former is the answer.
21. Chandra is retiling her bathroom floor. Each tile is in the shape of a
square, and is 6.5 inches long. How many square inches does one tile
cover? *
HELPPP
Answers
Answer:
42.25 inches²
Step-by-step explanation:
Given that the tile has a square shape, and each side of the tile is 6.5 inches, the area covered by one tile in square inches = area of square = s².
Where, s = side length of square
Area of 1 tile = 6.5² = 42.25 square inches.
One tile covers 42.25 square inches.
three less than the product of six and an unknown number is the same as the product of three and the sum of the number and two
Answers
Answer:
6x - 3 = 3(x + 2)
Step-by-step explanation:
Find the midpoint between A and C.
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(0. \: 5, \: 0.5 \: )}}}}}[/tex]
Step-by-step explanation:
Given,
A ( -2 , 4 )⇒ ( x₁ , y₁ )
C ( 3 , - 3 )⇒ ( x₂ , y₂ )
Finding the midpoint between A and C
[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{ - 2 + 3}{2} \: , \: \frac{4 + ( - 3)}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{4 - 3}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{1}{2} \: , \: \frac{1}{2} }})[/tex]
[tex] \dashrightarrow{( \sf{0.5 \: , \: 0.5) \: }}[/tex]
Hope I helped!
Best regards! :D
Which expression shows 7 more than the product of 8 times 9?
Answers
Answer:
Step-by-step explanation:
7 more than the product of 8 times 9
product of 8 times 9 = 8 × 9 = 72
7 more than the product of 8 times 9 = 72 + 7 = 79
Hope this helps
plz mark as brainliest!!!!!!!!!!
HELLLLLPPPPPPP PLZZZZZZ HELP A$AP PLZZZZZZZZZ I WILL MARK BRAINLEST
Answers
Answer:
what do you need help with i dont see the question
Step-by-step explanation:
On a vacation trip, the smith family traveled 2,648 miles by car to a lake resort on the return trip they took a shorter route and drove 2,023 miles at the end of the trip the car’s odometer read 46,238 miles what did the odometer read at the beginning of the trip
Answers
Answer: 41,567
Step-by-step explanation:
1st: Add 2,648 + 2,023 and get = 4,671
2nd: Subtract 46,238 - 4,671 = 41,567