Answer:
This is the answer
Step-by-step explanation:
Solving 3x2-9x-5 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = -9
C = -5
Accordingly, B2 - 4AC =
81 - (-60) =
141
Applying the quadratic formula :
9 ± √ 141
x = —————
6
√ 141 , rounded to 4 decimal digits, is 11.8743
So now we are looking at:
x = ( 9 ± 11.874 ) / 6
Two real solutions:
x =(9+√141)/6=3/2+1/6√ 141 = 3.479
or:
x =(9-√141)/6=3/2-1/6√ 141 = -0.479
Two solutions were found :
x =(9-√141)/6=3/2-1/6√ 141 = -0.479
x =(9+√141)/6=3/2+1/6√ 141 = 3.479
8x - 3(2x - 4) = 3(x - 6)
Answer:
30
Step-by-step explanation:
-3x2x=-6x, 8x-6x+12= 3x-18
30=x
The Wilson family had a family portrait framed for their living room. The frame measures 45 inches long and 37 inches wide. Which is a reasonable value for how much wall space the portrait will cover?
A. 12 ft
B. 12 ft2
C. 14 ft
D. 14 ft2
Answer:
12ft²Step-by-step explanation:
The frame is rectangular in nature, to determine a reasonable value for how much wall space the portrait will cover, we will take the area of the frame.
Given
Length of the frame = 45in
Width of the frame = 37in
Required
Area of the frame
Area of the rectangular frame = Length * Breadth
Area of the rectangular frame = 45in * 37in
Given 1feet = 12in
45in = 45/12 ft= 3.75ft
37 in = 37/12 ft = 3.083 ft
Area of the frame = 3.75ft * 3.083 ft
Area of the frame = 11.56ft²
Area of the frame ≈ 12ft²
Write 20.65 in expanded notation
Answer:
2 * 10 + 6 * .1 + 5 * .01
Step-by-step explanation:
7. Solve the equation r cubed = 216.
Answer:
6
Explaination:
r^3=216
r= cuberoot(216)
r= cuberoot(6x6x6)
r=6
Simplify. 4−16÷4+42 −16 13 15 16
Answer:
[See Below]
Step-by-step explanation:
✦ First split the equation in little pieces and solve them:
✧ 4 - 16 = -12
✧ 4 + 4² = 20 (4² = 16)
✦ Now divide them:
✧ -12 ÷ 20 = -0.6
So I'm guessing you're trying to simplify 4²... so it'd be 16 because none of the choices are the simplified version of the problem.
~Hope this helps Mate. If you need anything feel free to message me.
Which of the following pairs of fractions consists of 5/8 and 17/24 rewritten with a common denominator? A. 1524 and 1724 B. 2036 and 1736 C. 2536 and 3436 D. 2024 and 1724
Answer:
[tex] \frac{5}{8} \frac{17}{24} [/tex]
[tex] \frac{15}{24} \frac{17}{24} [/tex]
The answer is A
Answer:
A
Step-by-step explanation:
square root of 50
Rational
Irrational
Rational , integer, whole number
Integer
Whole nmber
Rational , integer
None of the above
Answer:
7.05 simplified rational
Answer:
irrational number
Step-by-step explanation:
Help pllzzzz !! .....
Answer:
image = A = 35×35
preimage = B = 28×28
Scale factor = image/preimage
=
[tex] \frac{35}{28} \times \frac{35}{28} [/tex]
=
[tex] \frac{5}{4} \times \frac{5}{4} [/tex]
= 25/16
=
d=18+34 d=22t system of equations
Answer:{d,t}={187, 17/2}
Step by step explanation :
System of Linear Equations entered :
[1] d - 18t = 34
[2] d - 22t = 0
Graphic Representation of the Equations :
-18t + d = 34 -22t + d
Solve by Substitution :
// Solve equation [2] for the variable d
[2] d = 22t
// Plug this in for variable d in equation [1]
[1] (22t) - 18t = 34
[1] 4t = 34
// Solve equation [1] for the variable t
[1] 4t = 34
[1] t = 17/2
// By now we know this much :
d = 22t
t = 17/2
// Use the t value to solve for d
d = 22(17/2) = 187
Answer:
[tex]d=52\\t=\frac{26}{11}[/tex]
Step-by-step explanation:
1 solve for d in d =18+34
solve for d
[tex]d=18+34[/tex]
Simplify 18+34 to 52
[tex]d=52[/tex]
2 substitute d=52 into d=22t
Start with the original equation
[tex]d=22t[/tex]
Let d=52
[tex]52=22t[/tex]
3 Solve for t in 52=22t
Solve for t
[tex]52=22t[/tex]
Divide both sides by 22
[tex]\frac{52}{22} =t[/tex]
Simplify [tex]\frac{52}{22}[/tex][tex]to \frac{26}{11}[/tex]
[tex]\frac{26}{11} =t[/tex]
Switch sides
[tex]t=\frac{26}{11}[/tex]
4 Therefore
[tex]d=52\\t=\frac{26}{11}[/tex]
A skier is trying to decide whether or not to buy season ski pass. Daily pass cost $77.. A seasons pass cost $400.. this year would have to rent skis with either pass for $30 per day. How many days with the skier have to go skiing in order to make the season pass less expensive than the daily pass
Answer:
4 days
Step-by-step explanation:
77+30=107
400/107=3.73
a − 2 + 3 = −2 multi step equation
Answer:
a = -3
Step-by-step explanation:
a − 2 + 3 = −2
Combine like terms
a+1 = -2
Subtract 1 from each side
a+1-1 = -2-1
a = -3
Answer:
a-2+3=-2
a+1=-2
a=-2-1
a=-3
It takes 2 cups of sugar to bake 10 cookies. How many cups of sugar will it take to bake 30 cookies
same side exterior angles if m<1=4x+15 and m<8=3x+11, solve for the value of x
Answer:
x = 22
Step-by-step explanation:
same- side exterior angles are supplementary, thus
4x + 15 + 3x + 11 = 180, that is
7x + 26 = 180 ( subtract 26 from both sides )
7x = 154 ( divide both sides by 7 )
x = 22
4x-20=mx-5m. find m
Answer:
[tex]m=4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]4x-20=mx-5m[/tex]
First, factor out a m from the right:
[tex]4x-20=m(x-5)[/tex]
Divide both sides by x-5:
[tex]m=\frac{4x-20}{x-5}[/tex]
Factor out a 4 in the numerator:
[tex]m=\frac{4(x-5)}{x-5}[/tex]
The (x-5)s cancel. Thus:
[tex]m=4[/tex]
The value of m is 4 :)
whats 4000 x48. i'm to lazy to use a countulater
Answer: 192,000
Step-by-step explanation:
Dana skates for 20 seconds.how many laps will she skate?
what is the product of a number and 20 is 75
Answer:
20(x)=75
Step-by-step explanation:
x= unknown number
product= multiplication equation
Name the types of angles shown.
Check all that apply.
A. Complementary angles
B. Straight angle
C. Right angle
D. Supplementary angle
Answer:
supplementary and straight
Step-by-step explanation:
1. angle D and angle B add up to make a 180 degree angle so they are supplementary.
2. A and C each equal 180 degrees (straight angle= 180 degrees)
D. supplementary angles, C. right angle ,B. straight angle
please help me. 5(m-7)=-8(3m+8)
Answer:
m = -1
Step-by-step explanation:
Solve for m:
5 (m - 7) = -8 (3 m + 8)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
5 m - 35 = -8 (3 m + 8)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
5 m - 35 = -24 m - 64
Hint: | Move terms with m to the left hand side.
Add 24 m to both sides:
24 m + 5 m - 35 = (24 m - 24 m) - 64
Hint: | Look for the difference of two identical terms.
24 m - 24 m = 0:
24 m + 5 m - 35 = -64
Hint: | Group like terms in 24 m + 5 m - 35.
Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:
(5 m + 24 m) - 35 = -64
Hint: | Add like terms in 5 m + 24 m.
5 m + 24 m = 29 m:
29 m - 35 = -64
Hint: | Isolate terms with m to the left hand side.
Add 35 to both sides:
29 m + (35 - 35) = 35 - 64
Hint: | Look for the difference of two identical terms.
35 - 35 = 0:
29 m = 35 - 64
Hint: | Evaluate 35 - 64.
35 - 64 = -29:
29 m = -29
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 29 m = -29 by 29:
(29 m)/29 = (-29)/29
Hint: | Any nonzero number divided by itself is one.
29/29 = 1:
m = (-29)/29
Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.
The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:
Answer: m = -1
is number 6 integers, irrational, or real number, or whole number
Answer:
Hey there!
6 is an integer, whole number, and real number.
Let me know if this helps :)
7y = 21x + 14
In the equation shown, what is the value of x when y 4?
Give your answer as a fraction.
Answer:
it is equal to10
Step-by-step explanation:
people often ask me why i be drippin its cus im a gunna
help plz and quickly
Answer:
f(3) = 4Step-by-step explanation:
[tex]f(x)=\sqrt{25-x^2}\\\\f(3)=\sqrt{25-3^2}=\sqrt{25-9}=\sqrt{16}=4[/tex]
Can anyone help me with this? I've been stuck on this question for some time-
Answer:
Angle E is 43 degrees.
Step-by-step explanation:
So we know that AB is parallel to CD.
We also know that Angle CHF is 119 degrees and that Angle B is 18 degrees.
First, let's find Angle DHF. It is the supplementary angle to Angle CHF. Thus, they must total 180:
[tex]\angle DHF+\angle CHF=180[/tex]
We already know that Angle CFH is 119. Substitute:
[tex]\angle DHF+119=180[/tex]
Subtract 119 from both sides:
[tex]\angle DHF=61[/tex]
Therefore, Angle DHF is 61 degrees.
Since Angle DHF is 61 degrees, then angle BGH must also be 61 degrees. This is because they are corresponding angles, and corresponding angles have the same measure.
Also, Angle BGE is the supplementary angle to Angle BGH. In other words:
[tex]\angle BGE+\angle BGH=180[/tex]
Find Angle BGE. Substitute 61 for BGH:
[tex]\angle BGE+61=180[/tex]
Subtract 61:
[tex]\angle BGE=119[/tex]
So, angle BGE is 119 degrees.
Recall that a triangle's interior angles sum to 180. This means that Angle B plus Angle BGE plus Angle E must equal 180. Thus:
[tex]\angle B+\angle BGE+\angle E=180[/tex]
Substitute 18 for B and 119 for BGE. Thus:
[tex]18+119+\angle E=180[/tex]
Add:
[tex]137+\angle E=180[/tex]
Subtract:"
[tex]\angle E=43\textdegree[/tex]
And we're done!
Remarks:
I just realized that you can just use the fact that alternate exterior angles have the same measures to figure out that BGE is equivalent to CHF. Regardless, we will arrive at the same answer :)
Solve problem
-3|x-9| ≥-21
Answer:
x≥-48
Step-by-step explanation:
-3x-27 in absolute value equals 3x+27 is greater than or equal to -21, x is greater than or equal to -48
The price of an item is reduced by $1.39. The new sale price is $92.44. What is the original price
Answer:
92.44 + 1.39 = $93.83
Step-by-step explanation:
Since it was reduced by a certain amount, simply, add it back!
Question 5
If you add me with another number our sums will be 13, our difference is 1, find us! Who is the Smaller Number?
Blank 1:
Question 6
If you divide me by 5 and decreace that value by 2, I am 25! What's My Number?
Blank 1:
Answer:
A . The numbers are 6 and 7, with the smaller number as 6
B. The number is 135
Step-by-step explanation:
A. Let the numbers be a and b
adding both gives 13
a + b = 13 •••••(i)
difference between the two is 1
b - a = 1 ••••••(ii)
So we have two equations that we can solve simultaneously;
b = 1 + a; Substitute this into 1
a + 1 + a = 13
2a + 1 = 13
2a = 13-1
2a = 12
a = 12/2
a = 6
b = a + 1 = 6 + 1 = 7
The numbers are 6 and 7 while 6 is the smaller number
B.Let the number be x
Divide by 5; x/5, then subtract 2 , we get 25
x/5 - 2 = 25
x/5 = 25 + 2
x/5 = 27
x = 5 * 27
x = 135
how do you write a domain as an equation?
Answer: Answer
Step-by-step explanation: The domain of a function is all possible set inputs for a function. For example, if the function was {(10, 20), (10, 50), (11, 30)}, then the domains would be 10 and 11. Basically it is the first x value of each set.
A true conditional statement is below.
"If two angles form a linear pair, then the
two angles are supplementary."
Which of the following statements is false?
I.
If two angles are supplementary,
then they are a linear pair.
II.
If two angles are not a linear pair,
then they are not supplementary.
III. If two angles are not
supplementary, then they are not a
linear pair
A. I and III only
B. II and III only
C. I and II only
D. I, II, and III
Answer:
I and II only
Step-by-step explanation:
Given f(x)= 15x + 35, what is the domain of f?
Answer:
Domain : ( - ∞, ∞)
Step-by-step explanation:
The graph travels both directions infinitely.
Answer:
The domain of f is ALL REAL NUMBERS.
The range of f is also ALL REAL NUMBERS.
Step-by-step explanation:
PLEASE HELP I DONT HAVE LONG
Answer:
The answer is A. 2
Step-by-step explanation:
The data values 8 - 10 is 2 because there are only 9 and 10.
Hope it helps :)