Answer:
-7
Step-by-step explanation:
Equation: 2x - 4 = -18
First, add 4 to both sides:
2x = -14
Finally, divide both sides by 2:
x = -7
Check (optional):
2(-7) - 4 = -18
-14 - 4 = -18
-18 = -18 so this is correct
If you're confused about any of these steps, just let me know and I'll try to clear it up for you! :)
2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
Please answer fast step by step. I will mark the best answer as brainliest.
Answer:
Step-by-step explanation:
[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]
[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]
WILL GIVE BRAINLY: VOLUME
width=12 length=12 height=14 find volume of aquarium
Answer:
2016 cubic units
Step-by-step explanation:
12 * 12 * 14 = 2016
Answer:
2,016
Step-by-step explanation:
volume formula is width*length*height
= 12*12*14= 2016unit^3
the expression for perimeter of a rectangle
with a length of (x + 7) and a width of (2x)
Answer:
P = 6x + 14
Step-by-step explanation:
P = 2l + 2w
where P is perimeter, l is length, and w is width
l = x + 7
w = 2x
So P = 2(x+7) + 2(2x)
Distribute the 2 to the x and 7.
P = 2*x + 2*7 + 2*2x
Multiply each term out
P = 2x + 14 + 4x
Group the xs
P = 2x + 4x + 14
Combine like terms
P = 6x + 14
Evaluate the following expression
H ;-)
x = -3 and y = -2
2x² - 5xy - y³ =
= 2 · (-3)² - 5 · (-3) · (-2) - (-2)³ =
= 2 · 9 - 30 - (-8) = 18 - 30 + 8 =
= -12 + 8 = -4
Answer:
[tex]2 {x}^{2} - 5xy - {y}^{3} \\ x = - 3 \\ y = - 2 \\ 2 { (- 3)}^{2} - 5 \times - 3 \times - 2 - { (- 2)}^{3} \\ 2 \times 9 + - 30 - - 8 \\ = 18 - 30 + 8 \\ = - 4 \\ thank \: you[/tex]
if (y-b)÷(x-a)=m, then x is equal to
Step-by-step explanation:
[tex] \frac{(y - b)}{(x - a)} = m \\ y - b = m(x - a) \\ y - b = mx - am \\ mx = y - b + am \\ x = \frac{y - b + am}{m} [/tex]
Dave has $15 to spend on an $8 book and two
birthday cards (c) for his friends. How much can
he spend on each card if he buys the same card
for each friend?
Answer:
yesjndndkkwkdkdndkiskdn
Answer:
3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50
6. In which set(s) of numbers does the real number 0 belong?
A. irrational only
B. rational, whole, and natural
C. rational, integer, and natural
D. rational, integer, and whole
Answer:
rational integer and whole
Answer:
D. Rational, integer, and whole.
Step-by-step explanation:
0 can be written in a ton of fraction forms (like [tex]\frac{0}{2645648}[/tex]), so it is rational.
Whole numbers include 0 and the natural numbers, but natural numbers alone, don't include 0.
Integers are the whole numbers and they negative opposites.
The expression (4c − 3d)(3c + d) is equivalent to:
A. 12c2 − 13cd − 3d2
B. 12c2 − 13cd + 3d2
C. 12c2 − 05cd − 3d2
D. 12c2 − 05cd + 3d2
E. 12c2 − 03d2
(4c - 3d)(3c + d) =
= 12c² + 4cd - 9cd - 3d² =
= 12c² - 5cd - 3d²
The expression (4c − 3d)(3c + d) is equivalent to 12c² - 5cd - 3d²
(4c − 3d)(3c + d)
Open the bracket
12c² + 4cd - 9cd - 3d²
Collect like terms
12c² - 5cd - 3d²
Hence, the equivalent value of the expression is : 12c² - 5cd - 3d²
Learn more : https://brainly.com/question/18109354
What is the mean of the data set rounded to the nearest tenth?
0.7 1.1 0.8 1.6 1.6 2.2 1.1
Answer:
1.3Step-by-step explanation:
Mean is the average of data set:
μ = (0.7 + 1.1 + 0.8 + 1.6 + 1.6 + 2.2 + 1.1)/7 = 1.3Mean
[tex]\\ \rm\leadsto \dfrac{\sum n}{n}[/tex]
[tex]\\ \rm\leadsto \dfrac{0.7+1.1+0.8+1.6+1.6+2.2+1.1}{7}[/tex]
[tex]\\ \rm\leadsto 1.3[/tex]
17. A rectangle has perimeter
40 in. If the width is 7 in, find the
area.
Area= 91
Step-by-step explanation:
if the width is 7 then the length is 13
13 times 7 is 91
Find the mode from the given data a, c, b, b, a, c, a, b, c, a, c
Lets write the repeatations
a=4times b=3timesc=4timesa=c.
Hence this data has no mode.
Evaluate the expression
(x + 3)(y - 2) , if x = -2, and y= 6
Answer:
The answer is 4
Step-by-step explanation:
Given,
[tex]x=-2,\,y=6[/tex]
Now, the expression
∴[tex](x+3)(y-2)\\=>(-2+3)(6-2)\\=>(1)(4)\\4[/tex]
hope you have understood this...
pls mark my answer as the brainliest
-5c+5c+2c–6c–12c-16 16=c
Step-by-step explanation:
-5c+5c+2c–6c–16=c
-16c - 16=c
-16 = c + 16c
-16 = 17c
-16/17 = c
Can anyone answer this please? I need help
Answer:
84 cm squared, 30 cm squared, 18 cm squared
Step-by-step explanation:
Formula for triangle area= 1/2 Base * Height
Area for triangle ABD= 1/2 (12cm)*(14cm)
=84 cm squared
Area for triangle BC(orange triangle)= 1/2 (6cm)*(10cm)
=30 cm squared
BC= half of BD
Area for triangle CD(Green triangle)= 1/2 (6cm)*(4cm)
=12 cm squared
area of green triangle is 12cm^2
Step-by-step explanation:
1/2×6×4
3×4
12
Which of the following is a point of tangency on the circle below?
Answer:
Answer D but read below.
Step-by-step explanation:
The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.
Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.
However I think you are expected to answer F which is answer D.
Answer:
The answer is D.
Step-by-step explanation:
I learned it in school.
kiara starts with k marbles iin her collection. she loses 16
Answer:
Answer: k - 16
Step-by-step explanation:
If she looses, it becomes less or smaller. Subtraction produces that result. K is a fairly large number. 16 is much smaller. So she has K - 16 left.
K - 16
Multiply (FOIL)
( x - 3)( 2x + 5)
(3x + 7)(2x - 1)
[tex](x-3)(2x+5)=2x^2+5x-6x-15=\boxed{2x^2-x-15}\\\\(3x+7)(2x-1)=6x^2-3x+14x-7=\boxed{6x^2+11x-7}[/tex]
What fraction is equal to −0.37¯¯¯¯¯?
Answer: -37/100
Step-by-step explanation:
Given
-0.37
Convert to division form (Any division that can get -0.37)
-37 ÷ 100
Convert to fraction
[tex]\boxed{-\frac{37}{100} }[/tex]
Finally, always make sure the final fraction is no longer divisible.
Hope this helps!! :)
Please let me know if you have any questions
x^2-y^2-z^2 factorise
Answer:
2(x-y-z)
Step-by-step explanation:
take common fromm all of those terms
Please answer this ASAP NO PHOTOS PLEASE
Answer: 1cm cubed
Step-by-step explanation:
Cube Formula = L x W x H
= 1 x 1 x 1
= Volume of cube
= 1cm cubed
1/2x +1/4y =32 , then find 2x+y
Answer:
128
Step-by-step explanation:
Picture shown!
If
f(x) = x^2+ 2x - 4
and
g(x) = 3x + 1
Find
g(f(x)) = [ ? ]x^2+ [ ? ] + [ ? ]
Answer:
3x^2+6x-11
Step-by-step explanation:
g(f(x)) = g(x^2+2x-4) = 3(x^2+2x-4)+1 = 3x^2+6x-11
just need help with math before its due tomarrow
Answer:
(6_4)(6+4)
6(6+4)-4(6+4)
36+24-24-16
36-16
Please help me AAAAAA
Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
Try it now. Enter the interval equivalent to
2
<
x
≤
5
or
x
>
7
We have that
The interval equivalent to each range is given below
[tex]x=3-5[/tex]
[tex]x'=7,8,9 ...[/tex]
From the Question we are told that
2 < x ≤ 5 or x >7
Generally the interval equivalent is given as follow from the number line
(...-1,0,1...)
For 2 < x ≤ 5
Here this means x is less than 2 and less than or equal to 5
Therefore
A range of numbers
[tex]x=3-5[/tex]
For x >7
Here x is greater than 7 i.e
[tex]x'=7,8,9 ...[/tex]
in conclusion
The interval equivalent to each range is given below
[tex]x=3-5[/tex]
[tex]x'=7,8,9 ...[/tex]
For more information on this visit
https://brainly.com/question/16191404
Answer:
(2,5] U (7,∞)
Step-by-step explanation:
got it correct.
12 POINTS + BRAINLIEST TO FIRST CORRRECT AANSWER!
Which ordered pair would form a proportional relationship with the point graphed below?
On a coordinate plane, point (60, negative 20) is plotted.
(–10, 30)
(30, –15)
(–30, 10)
(80, –30)
★» -30, 10
★» Yes, I use ★» at the beginning of each sentence, it's my style.
Answer:Its c
Step-by-step explanation:
find the last digit of 45^45
Answer:
45^45=2025, so the last digit is 5.
Step-by-step explanation:
If there are 16 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made. They already used 16:32 as an example
Answer: 8:16
Step-by-step explanation:
Ratios are like fractions, you can DIVIDE, so...
16 divided by 2 is 8
32 divided by 2 is 16
So there you have it!
A shoe store is selling all basketball shoes at a 20% discount. What is the sale price of a pair of shoes originally priced at $139.00? (2 points)
$105.20
$111.20
ОООО
$127.80
$166.80
please help me it’s my last question
One circle is 360°, that means, 180° is half of the circle.
Then, the required rotation may be performed according to this property. For more details see the attached picture.