Answer:
Step-by-step explanation:
Division by zero is undefined, so the only restriction on the domain, the values of x is that x cannot equal 9. So the domain is all real numbers except 9. Or in interval notation
x=(-oo,9),(9,+oo)
Answer:
All real numbers
Step-by-step explanation:
y = (x+1)(x-9)
y = x² - 8x - 9
There are no asymptotes, restrictions of x, or holes.
Martha sells custom painted square canvases. She determined that the amount of tissue paper she'll need to wrap each canvas can be represented by
y= x^2 + 2x + 1, where y is the total square inches of tissue paper and x is the side length of the canvas in inches. Write and solve an equation to determine the side length of the canvas is Martha needs 49 square inches of tissue paper.
Given:
The equation is
[tex]y=x^2+2x+1[/tex]
where y is the total square inches of tissue paper and x is the side length of the canvas in inches.
To find:
The side length of the canvas is Martha needs 49 square inches of tissue paper.
Solution:
We have,
[tex]y=x^2+2x+1[/tex]
Putting y=49, we get
[tex]49=x^2+2x+1[/tex]
[tex]0=x^2+2x+1-49[/tex]
[tex]0=x^2+2x-48[/tex]
Splitting the middle term, we get
[tex]0=x^2+8x-6x-48[/tex]
[tex]0=x(x+8)-6(x+8)[/tex]
[tex]0=(x+8)(x-6)[/tex]
Using zero product property, we get
[tex]x+8=0[/tex] and [tex]x-6=0[/tex]
[tex]x=-8[/tex] and [tex]x=6[/tex]
Side length cannot be negative. So, only possible value of x is 6.
Therefore, Martha needs 6 inches side length of the canvas for 49 square inches of tissue paper.
A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?
a) -5
b) 0
c) 1
d) 6
Answer: c
Step-by-step explanation:
La profundidad de una alberca aumenta paulatinamente desde 0.80 metros hasta 3 metros en una longitud de 10 metros cual es el angulo de inclinacion de la alberca
Answer:
El ángulo de inclinación de la alberca es aproximadamente 12.407º.
Step-by-step explanation:
Puesto que conocemos la distancia horizontal ([tex]l[/tex]) y la variación en la profundidad ([tex]h[/tex]) de la alberca, en metros, podemos emplear la siguiente razón trigonométrica para calcular el ángulo de inclinación de la alberca ([tex]\alpha[/tex]), en grados sexagesimales:
[tex]\alpha = \tan^{-1}\left(\frac{h}{l} \right)[/tex] (1)
Si sabemos que [tex]l = 10\,m[/tex] y [tex]h = 2.20\,m[/tex], entonces el ángulo de inclinación de la alberca es:
[tex]\alpha \approx 12.407^{\circ}[/tex]
El ángulo de inclinación de la alberca es aproximadamente 12.407º.
Identifying and Solving Proportions
PLS ANY HELP!! thank you to whoever helps with question 6 <3
Answer:
Inez ran the mile in 5 minutes and 20 seconds
Great had the fastest time.
Her mile was faster by 20 seconds.
Step-by-step explanation:
Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator
rationalized
y=
and z=
Answer:
7
Step-by-step explanation:
First you have to fined the unit rate
1,500/25= 60
Now your gonna do
300x60= 18,00
Please help me i will give you brainliest *image
I need to know these as well- Ive been staring at my screen and I cant figure them out-
Fred has a garden. He has 10 aucumber plants. This is 5% of all the plants in his garden. How many plants dons Fred have in his garden?
Lucy earned $24 for tutoring 2 students for 1 hour each. How much can she earn for tutoring 15 students for 1 hour each?
Answer:
Step-by-step explanation:
15(24/2)=$180
HELP DUE IN 5 MINS!
x=??
y=??
Answer:
x = 55
y = 45
Step-by-step explanation:
In similar triangles, the ratio between similar sides are the same. So,
AB/ED = BC/EF = AC/DF
Substitute values that they give
6/15 = 18/y = 22/x
Solve 6/15 = 18/y by cross-multiplying
6y = 15*18 = 324
Divide both sides by 6
y= 45
Solve 6/15 = 22/x by cross-multiplying.
6x = 22*15 = 330
Divide both sides by 6.
x = 55
Because there is some dispute between the answers, let's check the ratios.
6/15 = 18/45 = 22/55
0.4 = 0.4 = 0.4
True, x = 55 and y=45
since triangle abc~ def
their sides will be proportional
AB/de=ac/df
6/15=22/x
doing crisscrossed multiplication
6x=22×15
x=22×15/6=55
again
AB/de=BC/EF
6/15=18/y
doing crisscrossed multiplication
6y=15×18
y=15×18/6=15×3=45
PLS HELP ME I WILL GIVE YOU BRAINLIEST!
Answer:
The answer is 4) 69.08 m
Step-by-step explanation:
What is the value of the expression?
84-24428
13
115
13.4
152
O
Answer:
WWhat
Step-by-step explanation:
The measure of H=90°, the measure of G=80° and FG=75 feet. Find the length of HF to the nearest tenth of a foot
Answer:
The length of HF is 73.9 feet.
Step-by-step explanation:
Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Where θ is the angle given in the triangle = [tex]80^{o}[/tex].
Then,
Sin 80 = [tex]\frac{x}{75}[/tex]
⇒ x = Sin 80 x 75
= 0.9848 x 75
= 73.86
x = 73.9
Thus, the length of HF is 73.9 feet.
PLEASE HELP!!!
The diagram shows two parallel lines inter-
sected by a transversal. Tell whether each sen-
tences is True or False.
Answer:
1) True
2) True
3) True
4) True
5) False
Step-by-step explanation:
Hope this helped!
Someone help out with this problem
Answer:
copying angle C
Step-by-step explanation:
it shows that angle c is being copied
hope it helps
Use a vertical shift to graph the function. y=2sin(1/2)x+3
Solve the question.
Q – 26 = –53
Answer:
Q=-27
Step-by-step explanation:
Simplify the radical expression.
2√10 . 3√12
A.12√60
B.5√120
C.12√30
D.6√120
Simplify the radical expression.
√14q . 2√4q
A.3√56q
B.4q√14
C.2√56q^2
D.4√14q^2
Simplify the radical expression by rationalizing the denominator.
4/√11
A.11√4
B.4√11
C.4√11/11
D.√121/11
Drag numbers to show which one is closer to -1 and -1/4 on the number line
Answer:
-0.82 is closest to -1, and -0.28 is closest to -1/4
Step-by-step explanation:
you can start by converting all of them to a fraction or decimal:
-0.28 = -28/100 = -7/25 = -14/50
-0.82 = -82/100 = -41/50
-1/5 = -10/50
-4/5 = -40/50
-1 = -50/50
-1/4 = -12.5/50
Which equation shows how the properties of numbers extend to negative whole numbers by the Associative Property
of Addition?
A)
-2 + 4 = 4 + (-2)
B)
-2(4) = 4(-2)
(2 + 4) + 3 = -2 + (4 + 3)
D)
-2(4 + 3) = (-2 x 4) + (-2 x 3)
Answer:
A is correct answer
ok
now make me brainliest
Rhonda has an extra credit project to make a rectangular prism with the volume of at least 24 in3 . If the area of her base is 6 in2, which inequality would represent all the possible heights, h, of her prism in order to meet her teacher’s requirements?
A h ≥ 4
B. h ≥ 8
C h ≤ 4
D. h ≤ 8
Answer:
c
Step-by-step explanation:
Answer: 90% of 40 is 36. Therefore, 36 students are present in the class.
Learning Task 1
Find the percentage of the following number.
1. 45% of 20
2. 40% of 85
3. 70% of 60
4. 35% of 140
5. 5% of 360
Please help i cant fail
Answer:
3a+13
Step-by-step explanation:
Add 5 and 8 together to get 13
Deepak sold his T.V set for ₹ 14100,losing 6%. For how much did he purchase it?
Answer:
₹14,946
Step-by-step explanation:
Tv s old for ₹14100
Deepak loses 6%
Purchase cost = Selling price + Loss cost
Purchase cost = ₹14100 + ₹14100(6%)
Purchase cost = ₹14100 + ₹846
Purchase cost = ₹14,946
Kennedy is building a new L-shaped desk for her room. She wants to make
sure it is large enough to hold all her supplies. The dimensions of the desk, in
feet, are shown in the diagram. What is the area of the desk?
5 ft
4 ft
8 ft
3 ft
4 ft
2 ft
A. 40 square feet
B. 36 square feet
C. 28 square feet
D. 23 square feet
Answer:
A i hope its right
Step-by-step explanation:
Vgvhgvhgvugvugvhjbjhbjhbjh
Answer:
d or c is the answer of the question
write an equation of the line that passes through the given points (-6,3) (0,4)
Answer:
y=1/6x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-3)/(0-(-6))
m=1/(0+6)
m=1/6
y-y1=m(x-x1)
y-3=1/6(x-(-6)(
y-3=1/6(x+6)
y=1/6x+6/6+3
y=1/6x+1+3
y=1/6x+4
Question 6
2 pts
The data shows the speed, in miles per hour, of motorists on a stretch of
road.
42, 35, 44, 31, 47, 41, 36, 34, 39, 18, 37, 32, 37, 33, 43, 41, 44, 47, 46
18 miles per hour is an outlier.
0 47 miles per hour is an outlier.
The outlier decreases the mean speed.
The outlier decreases the median speed.
Answer:
18 miles per hour is an outlier
the outlier decreases the mean speed
Step-by-step explanation:
the low number of 18 is way different from the other numbers being in the 30's and 40's
this 18 will bring the mean of all the numbers own because it is a smaller number.
Answer:
Step-by-step explanation:
Mean:44
Median:31
Mode:47
solve the quadratic y = −x^2 + 4x + 1 with steps plz!
Answer:
x = -0.24 or 3.73
Step-by-step explanation:
[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex] (There's supposed to be a ± between '-b' and the square root)
[tex]x^{2}[/tex] + 4x + 1 ( [tex]ax^{2} + bx + c[/tex] )
a = -1 ( there's no number before [tex]x^{2}[/tex] so its 1 )
b = 4
c = 1
Substitute into the quadratic equation.
[tex]\frac{-4 + \sqrt{4^{2} -4x1x-1 } }{2x-1}[/tex] ( the [tex]x[/tex] is just the multiplication sign )
= [tex]\frac{-4 + \sqrt{{16} +4 } }{-2}[/tex]
[tex]\frac{-4 + \sqrt{{20} } }{-2}[/tex] = -0.24 [OR] [tex]\frac{-4 - \sqrt{{20} } }{-2}[/tex] = 3.73
( The answers are to 2 decimal places )
Plz help it is 10 points
Oh please first if the rectangle was compete, it's area would be 8.
The area of the missing triangle is [tex]\frac{2*2}{2}[/tex]=2.
8-2=6
And there you go! Your answer is 6.