Answer:
[tex]x^3-10x^2+31x-28[/tex]
Step-by-step explanation:
Since we are looking for a polynomial with RATIONAL coefficients, then we know that if [tex]3-\sqrt{2}[/tex] is a root, then its conjugate [tex]3+\sqrt{2}[/tex] must also be a root
Therefore, we build the polynomial using binomial factors with the given roots as shown below:
[tex](x-4)*(x-3+\sqrt{2} )*(x-3-\sqrt{2} )= (x-4)((x-3)^2-2)=\\=(x-4)*(x^2-6x+9-2) =(x-4)*(x^2-6x+7)=\\=x^3-10x^2+31x-28[/tex]
17 tens in standard form add
Let U = {a, b, c, d, e, f, g}. Find the complement of the set A below.
A = {a, c, e, g}
Answer:
[tex]A' = \{b,d,f\}[/tex]
Step-by-step explanation:
Given
[tex]U = \{a, b, c, d, e, f, g\}[/tex]
[tex]A = \{a, c, e, g\}[/tex]
Required
Find the complement of A
The complement of A are elements in the universal set (U) but not in A.
In other words,
if [tex]A = \{a, c, e, g\}[/tex]
then A' are the elements other than a, c, e and g that are in the universal set
So
[tex]A' = \{b,d,f\}[/tex]
Where A' represents the complement
If a fir tree is 24 feet tall and casts a shadow 45 feet long, then how long of a shadow will be
cast by a nearby marble column that is 32 feet tall?
Answer:
60 feet
Step-by-step explanation
24/45=32/h
24h=45x32
h=60 feet
How can 20 × 15 help you find 19 × 15?
Answer:
Step-by-step explanation:
You find the answer of 20 x 15 and subtract 15.
Answer:You find the answer of 20 x 15 and subtract 15.
Step-by-step explanation:
Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one position on a flat path from the tree is H=60°, and from a second position L=20 feet farther along this path it is B=50° What is the height of the tree?
Answer: 44.11 feets
Step-by-step explanation:
Using Pythagoras :
tan θ = opposite / Adjacent
Tan 60° = h / x
h = x tan 60 - - - (1)
tan 50° = h / (x + 20)
h = (x + 20) tan 50 - - - (2)
Equate (1) and (2)
x tan60 = (x + 20) tan 50
1.73205x = (x + 20) 1.19175
1.73205x = 1.19175x + 23.835
1.73205x - 1.19175x = 23.835
0.5403x = 23.835
x = 23.835 / 0.5403
x = 44.114380
Hence, height = 44.11 feets
To solve the inequality 9x >-4, the inequality sign must be reversed.
True
OR
False
Answer:
false
Step-by-step explanation:
you only need to reverse the sign when you are dividing by a negative number
Answer: False?
Step-by-step explanation:
The table gives a few x,y pairs of a line, what is x intercept
Answer:
Intersections of Linear Equations. The intersection of a line are the points where the line intersects, or crosses, the horizontal and vertical axes. The line shown on the graph intersects the two coordinate axes. The point where the line crosses the x-axis is called [x-intercept].
Step-by-step explanation:
When I divide my number by 8 and are my number I get 90. What is my number?
Answer:
720
Step-by-step explanation:
90x8=720
720/8=90
HOPE THIS HELPS BROSKI~
What is 35% of 80 ?
A
15
B.
24
С
28
D
52
The angle bisectors of triangle XYZ meet at point P. What is PJ?
=======================================================
Explanation:
Segment PJ is perpendicular to segment YZ
So triangle PJZ is a right triangle with the known leg ZJ = 12, unknown leg PJ = x, and known hypotenuse PZ = 20.
Let's say a = 12, b = x, c = 20.
Use the Pythagorean theorem to find x
a^2 + b^2 = c^2
12^2 + x^2 = 20^2
144 + x^2 = 400
x^2 = 400-144
x^2 = 256
x = sqrt(256)
x = 16
Therefore segment PJ is 16 units long.
Side note: the angle bisectors won't always form 90 degree angles with the opposite sides. These angle bisectors are also altitude lines because of the 90 degree angles that form.
8th GRADE MATH #7 On its first visit to the vet, Emma’s Kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit, the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten’s weight since its first visit? *
Answer:
14.6 % increase
Step-by-step explanation:
44 divided by 30 = 1.46
To decimal = 14.6 percent
I think
If x + y = 13 and y = 2, then which of the following is true according to the
substitution property?
A) 2 + y = 13
B) x = 13 - y
NICy = 13 - x
OD) x + 2 = 13
Answer:
OD) x+2=13
Step-by-step explanation:
you would plug in the y substitute which would be 2, making the equation x+2=13
:) hope this helps lol
Answer:
X+2=13
Step-by-step explanation:
We know that x+y=13 when added. We also know that y=2. To find X we can add X to 2 to get 13. X=11
If you multiply or divide both sides of an inequality by a negative number, you must __________ the inequality sign.
Answer:
Step-by-step explanation:
flip
How do you solve 9 7/8 divided by 5 2/3? Explain how you used math to determine your answer.
Answer:
Change the mixed fractions to improper fractionsFor any fraction in the form [tex]A\frac{b}{c}[/tex] is equal to [tex]\frac{(A*b)+c}{b}[/tex] so the fractions are [tex]\frac{79}{8}[/tex] and [tex]\frac{17}{3}[/tex] Then in order to divide, change the fraction on the right by flipping it, and then multiply everything [tex]\frac{79}{8} \div\frac{17}{3}=\\\frac{79}{8} \times\frac{3}{17} =\frac{1343}{24}[/tex]help me pls thank you
Answer:
discrete
Step-by-step explanation:
This graph is discrete. A discrete graph has separate values, which are represented by multiple unconnected points. In continuous graphs, the values are all connected to each other. If this graph was continuous, then we would see a line rather than separate dots. The graph can also not be neither continuous nor discreet because it passes the vertical line test, meaning that it is a function.
Hope this helps :)
Which of the h values are solutions to the following equation? h^2=.36
Answer:
h=0.6, -0.6
Step-by-step explanation:
take the root of both sides and solve
5.03)
Factor x2 - 4x + 5. (4 points)
Answer:
(x + 5) (x - 1)
On the last day of vacation, the Ramirez family drove 252 miles from a state park to its home. The drive covered 35% of the total distance the family traveled during its vacation. What is the total distance the Ramirez family traveled during its vacation?
Answer:
Step-by-step explanation:
35 percent of total miles traveled (say T)is 252 miles.
(35/100) * T=252
T=(252*100)/35 => T=720 miles
So total distance the Ramirez family traveled during its vacation is 720 miles
Answer:
720 miles
Step-by-step explanation:
Unit rate for 2.88 for 12 ounces
Answer:
0.24 per ounce
Step-by-step explanation:
Find the slope between (-12, 16) and (-4, -2)
Answer:
x=-9/4
Step-by-step explanation:
1. Which of the following is the standard form of y = (x – 3)(x – 7)?
a. y = (x + 5)2 – 21
b. y = (x - 5)² - 4
c. y = (x + 5)2 - 4
d. y = (x – 5)2 + 28
A
B
9514 1404 393
Answer:
b. y = (x - 5)² - 4
Step-by-step explanation:
Here, we take "standard form" to mean "vertex form."
In the US, "standard form" would be ...
y = x² -10x +21
Vertex form is ...
y = (x -5)² -4 . . . . matches B
John can clean pools at a constant rate of 3/5 pools/hour. How many pools can John clean in 10 hours?
Answer:
6
Step-by-step explanation:
3/5*10
What is the y-intercept of the function f(x)=4 - 5x?
-5
-4
4
5
Answer:
4
Step-by-step explanation: Its 4 becuase you plug in the zero like this'
f(x)=4-5(0)
f(0)=4-0
f(0)=4
So it will (0,4)
If these two shapes are similar, what is the measure of the missing length g?
On Wednesday, 45 packages were sent in for pick up. 9 of the packages had the
"fragile" label and 8 of the packages required the recipient's signature. How many
packages did not require signature?
Answer:
37
Step-by-step explanation:
Are u supposed to do 45 minus 8= 37
Answer:
45 – 8 = 37
37 packages did not require recipient’s signature.
Step-by-step explanation:
Also im new can u pls mark me brainliest
Find the product. 1/8 times 8 to the square root
Step-by-step explanation:
The product 1/8 times 8 to the square root
Answer:
0.35355339
Step-by-step explanation:
What is the decimal value of x in the equation 7x − 2 = 5x + 3?
Answer:
x= 2.5
Step-by-step explanation:
7x-5x = 2x
2x-2 = 3
3 + 2 = 5
2x=5
5/2 = 2.5
Answer: 5/2 or 2.5
Step-by-step explanation:
So first you add 2 to -2( crossing it out) and add 2 to 3. Then you simplify giving you the equation of 7x=5x+5.
Then subtract 5x from 7x and 5 giving you the equation of 2x=5.
Ounce done divide your equation by 2, giving you the answer if 5/2 or 2.5.
Which is the surface area of the cube?
can someone help me please. I have to choose.
Answer:
2. underestimate
Step-by-step explanation:
Plz help. Write the slope intercept form of the equation.
Answer:
y = - 1.5x - 5 or y = - 3/2x - 5
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
1 = - 3/2 ( - 4 ) + b Equation
Step 3:
1 = 6 + b Multiply
Step 4:
b = - 5 Subtract 6 on both sides
Answer:
y = - 1.5x - 5
Hope This Helps :)