Answer:
-30-45k
Step-by-step explanation:
-5*6=-30
-5*9k=-45k
Answer:
-30 -45k
Step-by-step explanation:
-5(6+9k)
Distribute
-5*6 -5*9k
-30 -45k
Rewrite using a negative exponent. 5/x^2
Answer:
5x^-2 is rewritten as a negative exponent
Use the remainder theorem to find which of the following is not a factor of x^3+12x^2+47x+60 a. x+5 b. x-5 c. x+4 d. x+3
Answer:
b. x-5.
Step-by-step explanation:
If x + 5 is a factor then f(-5) will be = 0.
f(-5) = 0 so it is a factor.
f(5) = 720 so (x - 5) is not a factor.
Answer:
B) x - 5
Step-by-step explanation:
The remainder theorem states the given a polynomial f(x), if f(x) is divided by x - a, the remainder will be f(a). Therefore, one needs to verify if f(a) = 0 in order to confirm it to be a factor of f(x).
a) x + 5:
f(a) = f(-5) = (-5)³ + 12(-5)² + 47(-5) + 60 = 0
b) x - 5:
f(a) = f(5) = (5)³ + 12(5)² + 47(5) + 60 = 720
c) x + 4:
f(a) = f(-4) = (-4)³ + 12(4)² + 47(4) + 60 = 0
d) x + 3:
f(a) = f(-3) = (-3)³ + 12(-3)² + 47(-3) + 60 = 0
One can observe that only the item B has f(a) not equaling 0, and thus it cannot be a factor of f(x).
Find the measures of the angles of a triangle if the measure of one angle is twice the measure of a second angle and the third angle measures 3 times the second angle decreased by 48.
Answer:
38°, 66° and 76°Step-by-step explanation:
A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.
<A + <B + <C = 180° ...... 1
If the measure of one angle is twice the measure of a second angle then
<A = 2<B ...... 2
Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3
Substituting equations 2 and 3 into 1 will give;
(2<B) + <B + (3<B-48) = 180°
6<B- 48 = 180°
add 48 to both sides
6<B-48+48 = 180+48
6<B = 228
<B = 228/6
<B =38°
To get the other angles of the triangle;
Since <A = 2<B from equation 2;
<A = 2(38)
<A = 76°
Also <C = 3<B-48 from equation 3;
<C = 3(38)-48
<C = 114-48
<C = 66°
Hence the measures of the angles of the triangle are 38°, 66° and 76°
The division property of 5x - 10 = 0
Answer:
x=2
Step-by-step explanation:
5×-10=0
5×=10
so you divide both sides by 5
Answer:
x=2
Step-by-step explanation:
0.5% of a is 3 then what is a?
Answer:
a = 600Step-by-step explanation:
0.5%a = 3
×10 ×10
5%a = 30
×20 ×20
100%a = 600
a = 600
what is 5b=25 equivalent to?
Answer:
5×5=25
Step-by-step explanation:
25 divided by 5 is the answer to b which is 5 then what equals 25? answer is 5 times 5
f(x)=8x^2 -800 Enter the solutions from least to greatest.
Answer:
x = -10, 10
Step-by-step explanation:
Step 1: Write out function
f(x) = 8x² - 800
Step 2: Set equal to 0
0 = 8x² - 800
Step 3: Add 800 on both sides
800 = 8x²
Step 4: Divide both sides by 8
x² = 100
Step 5: Take square root on both sides
x = ±10
Step 6: Arrange
-10 < 10
So x = -10, 10
16. Peter works part time for 3 hours every day and Cindy works part time for 2 hours every day. a. If both of them get $4.50 an hour, write an inequality to compare Peter's and Cindy's earnings.
Answer:
Inequality:
$14.5 > $9
OR
Peter's earnings > Cindy's earnings
Step-by-step explanation:
Number of hours Peter works every day = 3 hours
Number of hours Cindy works every day = 2 hours
Earnings per hour for both of them = $4.50
Total daily Earnings for Peter = Number of hours worked by Peter multiplied by hourly earnings of Peter
Total daily Earnings for Peter = 3 \times $4.50 = $13.5
Total daily Earnings for Cindy = Number of hours worked by Cindy multiplied by hourly earnings of Cindy
Total daily Earnings for Cindy = 2 \times $4.50 = $9
Comparing the daily earnings of Peter and Cindy, we can see that Earnings for Peter is greater than that of Cindy.
Inequality:
$14.5 > $9
OR
Peter's earnings > Cindy's earnings
Points A, B, C, D, and E are collinear and AC= 16 What is x?
Answer:
[tex] x = 3 [/tex]
Step-by-step explanation:
Since points, A, B, C, D and E are collinear, AB = x + 7, BC = 2x, AC = 16, therefore:
[tex] AB + BC = AC [/tex]
[tex] (x + 7) + 2x = 16 [/tex]
Solve for x
[tex] x + 7 + 2x = 16 [/tex]
[tex] 3x + 7 = 16 [/tex]
Subtract both sides by 7
[tex] 3x + 7 - 7 = 16 - 7 [/tex]
[tex] 3x = 9 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{9}{3} [/tex]
[tex] x = 3 [/tex]
What is the inverse of y=r? + 8?
Answer:
F-1(x)=x+8
Step-by-step explanation:
What is the inverse of y=r? + 8?
I hope this help.
The coordinates of point A are 400 units of X and 40 units of Y. The coordinates of point B are 480 units of X and 60 units of Y. With X on the horizontal axis and Y on the vertical axis, the slope of the line between points A and B is
Answer:
The slope of the line between points A and B is 0.25
Step-by-step explanation:
Here in this question, we simply aim at calculating the slope of the line between two given points;
The points in question are;
A(400,40) and B(480,60)
Mathematically, the slope of the line can be calculated using the formula:
slope = (y2-y1)/(x2-x1)
Where ;
x1 = 400
y1 = 40
x2 = 480
y2 = 60
Substituting the values, we have;
slope = (60-40)/(480-400) = 20/80 = 1/4 = 0.25
If a rectangle has a length of 3x + 5 and a width of x + 1, what is the perimeter
Answer:
perimeter = 8x+12
Step-by-step explanation:
perimeter of a rectangle = 2(Length + width)
= 2[(3x+5)+(x+1)]
=2( 3x+5+x+1)
=2(4x+6)
perimeter= 8x+12
Evaluate the function below:
Replace x in the equation with 2.
-2(2) +4 = -4 + 4 = 0
The answer is 0
Work out 114 % of 818.07 kg Give your answer rounded to 2 DP.
Answer:
932.60 kg
Step-by-step explanation:
To find a percent of a number, change the percent to a decimal and multiply by the number.
114% of 818.07 kg =
= 114% * 818.07 kg
= 114/100 * 818.07 kg
= 1.14 * 818.07 kg
= 932.60 kg
Answer:932.60
Step-by-step explanation:
i had the same question on hegarty lol
Help needed ASAP will give brainliest
Answer:
its b 3/11
Step-by-step explanation:
the decimal goes 0.2727272727...
What two whole numbers will the v54 fall between?
Answer:
7 and 8
Step-by-step explanation:
7 X 7= 49 8 X 8= 64 and you can't get closer unless you make it a decimal
What is the sum of 5.89732 304.615
Answer:
310.51232
Step-by-step explanation:
here's your answer
please help asap, thank you!!
what's must be added to the number below to make it divisible by 11 82604_9
Answer:
3
Step-by-step explanation:
8260439 / 11 = 750949
you randomly pull a scrap from a bag of scraps. the bag has 1 red scrap, 3 pink scraps, and 4 black scraps. what is the probability of drawing a pink scrap?
Answer:
3/8 or 37.5%
Step-by-step explanation:
Will give brainliest and good rating
Answer:
top right
Step-by-step explanation:
i need help with number 1 please help
Answer:
D. they are noncollinear
Step-by-step explanation:
this is because they aren't in one straight line going x, y, z, w. because they intersect and make cross shape.
f(x)=10. Find f^-1(x)
Answer:
See below.
Step-by-step explanation:
This question cannot be answered with the information that is given since we don't know what f(x) or f^-1(x) are.
What is an expression which represents the sum of (3x-7y) and (10x+3y) in simplest terms?
Answer:
13x-4y
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(3x - 7y) + (10x + 3y)
Add like terms.
3x + 10x - 7y + 3y
13x - 4y
Thus,
The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
if you were to describe a translation of triangle ABC what information would you need to include your description
Answer:
In order to describe the translation of the triangle ABC we need to know the rule of translation, i.e. we need to know how many units to the left or to the right the x coordinate will move and how many units up or down the y coordinate will move
Step-by-step explanation:
You need to how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
The rule of translation, which states how many units the x coordinate will move to the left or right and how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.
Learn more about the Scale images here:
brainly.com/question/13194929
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A rectangular garden is fenced on all sides with 128 feet of fencing. The garden is 4 feet longer than it is wide. Find the length and width of the garden.
Answer:
Length = 34 and Width = 30
Step-by-step explanation:
This is a simple system of equation that is mainly solved using substitution, so keep in mind the following key points:
Rectangle's Perimeter is 128 ft."the garden is 4 feet longer than it is wide," this simply means that the Length is 4 feet longer than the Width: which algebraically translates to [tex]L = 4 + W[/tex]Perimeter formula for Rectangle is [tex]P = 2(L+W)[/tex]First, we find the Width by plugging the given values in the formula:
[tex]128 = 2((4 + W) + W)\\128 = 8 +2W + 2W\\120 = 2W + 2W\\120 = 4W\\W = \frac{120}{4}\\\ W = 30[/tex]
All we did here was substituting 4 + W for L to find the Width.
Now, to find the Length we plug in the value of W and solve for L:
[tex]128 = 2(L + 30)\\\frac{128}{2} = (L + 30)\\64 = L + 30\\64 - 30 = L\\L = 34[/tex]
Tip: always sketch a rough geometrical diagram of word problems, it helps. (Refer to the diagram attached)
Keep working hard and good luck. <3
Quadrilateral ABCD is graphed on a coordinate plane with the vertices A(-9,-6), B(-4,-6), C(-3,-2), and D(-8,-2). A. Quadrilateral ABCD is translated to the left 2 units and up 6 units. Write the translation in terms of x and y using ordered pair notation. B. Determine the coordinates of the vertices of the image. Be sure to name each of the vertices of the image with the correct notation.
2 units to the left , you need to subtract 2 from each x value. Up 6 units, you add 6 to each y value.
A’(-11,0), B’(-6,0), C’(-5,4), D’(-10,4)
Draw the new shape at these new points and label as I have them written.
Which of the following statements are true? The coordinates of point p (2,3) lie along the directed segment
Answer:
3
ehebehejhebehsueywbw
Answer:
It was number 2
Step-by-step explanation:
The one where P is located at (3,5)
if x+y=5,x-y=4,find the value of x²-y²
Answer:
20
Step-by-step explanation:
→ First find the value of x and y
x + y = 5
x - y = 4
→ Add the equations to cancel out the y's
2x = 9
→ Divide both sides by 2 to find the value of x
x = 4.5
→ Substitute x = 4.5 back into x - y = 4 to find the value of y
4.5 - y = 4
→ Minus 4.5 from both sides to isolate -y
-y = -0.5
→ Multiply everything by -1
y = 0.5
→ Substitute x = 4.5 and y = 0.5 into x² - y²
4.5² - 0.5² = 20.25 - 0.25 = 20
Need help with 6 math problems please
Answer:
9) 60
10) 16
11) 12
12) 3
13) 60
14) 4
Step-by-step explanation:
9) (2)(5)(6)
(10)(6)
60
10) 4(5-1)
4(4)
16
11) 3+4+2+6
7+2+6
9+6
12
12) 3- (1-[tex]\frac{6}{6}[/tex])
3- (0)
3
13) 5(6+1+6-1)
5(7+6-1)
5(13-1)
5(12)
60
14) 2-3(1-1)+4
2-3(0)+4
-1(0)+4
0+4
4