Answer:
x = 1 ,or x = -7
Obviously, the true answer is not in the options given.
Step-by-step explanation:
x² + 6x - 6 = 10
The above equation can not be factorized, hence the use of Almighty Formula.
x = [-b +- √b² - 4ac] / 2a
Where a = 1, b = 6, c = -6
x = [-6 +- √6² - (4*1*-6)] / 2*1
x = [-6 +- √36 - (-24)] / 2
x = [-6 +- √36 + 24] / 2
x = [-6 +- √60] / 2
x = [-6 +- 7.75] / 2
x = [-6 + 7.75] / 2 ,or x = [-6 - 7.75] / 2
x = 1.75/2 ,or x = -13.75/2
x = 0.875 ,or x = -6.875
Approximately
x = 1 ,or x = -7
Answer:
x=In2+1
Step-by-step explanation:
3+4ex+1-3=11-3
0+4ex+1=8
4ex+1=8
Evaluate expressions- if r=45 and t=9 what is the value of the following expression?
A.36
B.75
C.80
D.66
Answer:
[tex]d. \: \: 66[/tex]
Step-by-step explanation:
[tex]r + 63 \div t \times 3[/tex]
[tex]45+63÷9 \times 3[/tex]
[tex]45+7 \times 3[/tex]
[tex]45 + 21[/tex]
[tex]66[/tex]
Hope it is helpful...What is the ratio of the people who prefer vanilla to the people who prefer strawberry?
-5/4
-4/5
-3/2
-2/3
Answer:
4/5
Step-by-step explanation:
From the above question, we are given the number of people who like a particular flavor.
The number of people who like:
Vanilla = 36
Strawberry = 45
Therefore, the ratio of the people who prefer vanilla to the people who prefer strawberry is written as
Vanilla : Strawberry
= 36:45
= 4:5
= 4/5
Therefore, option B = 4/5 is the correct option
How many fl oz are in 4 table spoons
Answer:
2 fl oz
Step-by-step explanation:
2 tbsp = 1 fl oz. Simply double.
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
O A. y=3x+4
OB. y= 3x - 14
O cy=3x-4
OD. y= 3x+12
Answer:
y = 3x + 4
Step-by-step explanation:
Given:
Coordinates
(-3 , -5)
Slope m = 3
Find;
Equation of slope
Computation:
Given, x1 = -3 and y1 = -5
Equation of slope = y - y1 = m(x - x1)
Equation of slope = y - (-5) = 3(x + 3)
Equation of slope = y + 5 = 3x + 9
Equation of slope = y = 3x + 9 - 5
Equation of slope = y = 3x + 4
y = 3x + 4
What is the volume of this Sphere?
8 pi cm3
16 pi cm3
27 pi cm2
36 pi cm2
Answer:
V = 36 pi cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3 where 4 is the radius
V = 4/3 pi(3)^3
V = 36 pi cm^3
if GJ = 11a and IJ = a + 10, find the value of a that makes quadrilateral FGHI a parallelogram
Note: Consider J is the intersection point of diagonals of quadrilateral FGHI.
Given:
[tex]GJ=11a[/tex]
[tex]IJ=a+10[/tex]
To find:
The value of a that makes quadrilateral FGHI a parallelogram.
Solution:
We know that the diagonals of a parallelogram bisect each other.
If FGHI is a parallelogram and J is the intersection point of diagonals, then
[tex]GJ=IJ[/tex]
[tex]11a=a+10[/tex]
[tex]11a-a=10[/tex]
[tex]10a=10[/tex]
Divide both sides by 10.
[tex]a=\dfrac{10}{10}[/tex]
[tex]a=1[/tex]
Therefore, the required value of a is 1 units.
PLEASE HELP! Pam bought 6.5 pounds of apples for $16.19. If the equation 6.5x=16.19 models the situation, what does the variable stand for?
A. The weight of one apple
B. The cost of 1 pound of apples
C. The number of pounds of apples
D. The total cost of the apples
Sunaina had three pizzas. She shared the pizzas with her friends. Each of them ate
many friends ate 3/7 of a pizza. How many friends ate the pizza
Answer:
6 friends
Step-by-step explanation:
Take 1/7 multiply by 5/6
9514 1404 393
Answer:
7 friends
Step-by-step explanation:
3 pizzas will give 3/7 of a pizza to each of ...
3/(3/7) = 3 · 7/3 = 7 . . . friends
7 friends ate the pizza.
_____
We assume that Sunaina and her 6 friends constitute 7 friends.
Can someone please help with this ? Thanks
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
-12-1
-3
-11
2
2
-1
2
х
-1
DO
o
-13
من ال۔
ला
==================================================
Explanation:
Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.
Adding on another quarter slice gets us 4/4+1/4 = 5/4
In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.
So 1 & 1/4 = 5/4
This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.
Now we'll add on 1/2, which is the same as 2/4, like so
(-1 & 1/4) + 1/2
-(1 & 1/4) + 2/4
-(1 + 1/4) + 2/4
-1 - 1/4 + 2/4
-1 + (-1/4 + 2/4)
-1 + 1/4
-4/4 + 1/4
-3/4
which points us to choice C as our final answer
Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.
Side note: -3/4 converts to the decimal -0.75
[tex]\lim_{h \to \116} x-16/\sqrt{x} -4[/tex]
What is the limit?
Answer:
[tex] \displaystyle 8[/tex]
Step-by-step explanation:
we would like to compute the following limit
[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) [/tex]
if we substitute 16 directly we'd end up
[tex] \displaystyle = \frac{16 - 16}{ \sqrt{16} - 4} [/tex]
[tex] \displaystyle = \frac{0}{ 0} [/tex]
which isn't a good answer now notice that we have a square root on the denominator so we can rationalise the denominator to do so multiply the expression by √x+4/√x+4 which yields:
[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \times \frac{ \sqrt{x} + 4 }{ \sqrt{x} + 4 } \right) [/tex]
simplify which yields:
[tex] \displaystyle \lim_{x \to 16} \left( \frac{(x - 16)( \sqrt{x} + 4)}{ x - 16} \right) [/tex]
we can reduce fraction so that yields:
[tex] \displaystyle \lim_{x \to 16} \left( \frac{ \cancel{(x - 16)}( \sqrt{x} + 4)}{ \cancel{x - 16} } \right) [/tex]
[tex] \displaystyle \lim _{x \to 16} \left( \sqrt{x } + 4\right) [/tex]
now it's safe enough to substitute 16 thus
substitute:
[tex] \displaystyle = \sqrt{16} + 4[/tex]
simplify square root:
[tex] \displaystyle = 4 + 4[/tex]
simplify addition:
[tex] \displaystyle = 8[/tex]
hence,
[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) = 8[/tex]
What are the zeros and x-intercepts of this quadratic function?
y
Select two answers: one for the zeros and one for the x-intercepts.
A. x-Intercepts: (-3,0) and (2.0)
B. X-Intercepts: (0, -3) and (0,2)
C. Zeros: -3 and 2
The answer is ⇒C. Zeros: -3 and 2
A. x-intercepts: (-3,0) and (2,0).
What are zeros & x-intercepts of quadratic function?The zero of the function is where the y-value is zero.
The x-intercept is where the graph crosses the x-axis.
Here, in graph we have,
at (-3,0) and ( 2,0) the quadratic crosses the x-axis.
And, at -3 & 2 the value of y is zero.
Hence, the answer is ⇒C. Zeros: -3 and 2
A. x-intercepts: (-3,0) and (2,0).
To learn more on zeros & x-intercepts of quadratic function click:
https://brainly.com/question/28822774
#SPJ2
helppppppppppppppppppppppp
Answer:
gotta be answer A
Step-by-step explanation:
you can search up f(x) = square root of x
A scale drawing of a school playground in the shape of a rectangle is shown. What is the area in square meters of the playground
Answer:
b
Step-by-step explanation:
8×19= 152
1 : 4.5
152×4.5=684
SJSKSJSKSJ d help :p
Answer:
Below
Step-by-step explanation:
Discount: 40% of $159 = $63.60
Price you pay: $159 - $63.60 = $95.40
What is m ZPHJ?
L
0 100°
140°
0 120°
M
200
K
H
O 140°
0 160°
Р
Answer:
o 140. age125 M so that you answer
Help ASAP. I will give branliest.
Answer:
( 1, 3)
Step-by-step explanation:
4x+y=7 * 2 = 8x + 2y = 14
8x + 2y = 14
- 3x + 2y = 9
--------------------
5x = 5
x = 1
Now substitute x into the equation for 1
8*(1) + 2y = 14
8 + 2y = 14
2y = 6
y = 3
view what's attached
Step-by-step explanation:
when numbers are negative, the bigger the number looks the smaller it is therefore
-6 is smaller than -5
but 6 is bigger than 5
however, the numbers are;
-5.99, -3, -6, -5.9, -1, -5.999, -5 ,2
Express the location of the point on the number line as both a fraction and a decimal. A number line that has moving left to right, a starting mark at 0, nine unlabeled tick marks, a tick mark labeled one-tenth, nine unlabeled tick marks, a tick mark labeled two-tenths, nine unlabeled tick marks, and an ending tick mark at three-tenths. There is a dot at the ninth tick mark to the right of one-tenth.
Answer:
9 / 100 ; 0.09
Step-by-step explanation:
From the line plot given :
The number of unlabeled ticks marks between any two labeled tick marks can be obtained by :
(Difference between any two successive labeled tick marks / number of tick marks)
Picking the labeled tick marks, 0 and 1/10
(1/10 - 0) / 10
1 / 10 ÷ 10
1/ 10 * 1 / 10 = 1 / 100
To find the marked point : (this is tick mark 9 from 0) ;
Number of ticks * distance between ticks
Location of marked tick = 1 / 100 * 9 = 9 / 100
Decimal equivalent = 9/100 = 0.09
fazer scores 43% in a spelling test, what percentage did he get wrong???
Answer:
57
Step-by-step explanation:
100 - 43 =
57
Answer:
He got 57% wrong
Step-by-step explanation:
If he got 43% correct, there is 100 percent on the assignment
100 -43 = 57
He got 57% wrong
Find the measure of AB
A. 20
B. 21
C. 22
D. 14
Answer:
[tex]CB.CA=CD .CK[/tex]
[tex]9(9+2x+5)=10(10+2x+1)[/tex]
[tex]9(2x+14)=10(2x+11)[/tex]
[tex]18x+126=20x+110[/tex]
[tex]126-110=20x-18x[/tex]
[tex]16=2x->x=8[/tex]
[tex]AB=2(18)+5[/tex]
[tex]=21[/tex]
So, your answer is B) 21
hope it helps...
How much total money will Kiara have to pay back at the end of the 9 years?
Answer:
a= $29,505. it. is useful answer
Stefan sells Jin a bicycle for $149 and a helmet for $19. The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
$120
$48
Step-by-step explanation:
total amount Jin spent = cost of bicycle + cost of helmet
$149 + $19 = $168
This equation can be derived from the question :
1.4 x t = 168
where t = total cost Stephan spent on the helmet and bicycle
t = 168/1.4 = $120
Profit = selling price - cost price
$168 - $120 = $48
Which is the product of (1 +41+3x) (2 - 7x–9x)?
Answer:
-48x^2 -666x+84
Step-by-step explanation:
Exponet is ^2.
Multiply is •
Use Distributed Property. Multiply the second parathesis by each term from the first parathesis.
Any expression multiplied by 1 remains the same. Distribute 41 through the parathesis. 41(2-7x-9x).
Distribute 3x through the parathesis 3x • (2-7x-9x).
You will have these numbers left: (Slide 2)
Add the numbers, 2 and 82 to get 84. Add -7x -9x + -287x -369x + 6x to get -666x. Add -21x^2 - 27x^2 to get 48x^2.
Use the communitative property to reorder the terms. And then your answer is -48x^2 -666x+84.
Plane W and Plane B intersect at which following?
Answer Choices:
A. Line a
B. Line t
C. They do not appear to intersect
D. Line p
Answer:
the answer is (d)!! hope this helps
Step-by-step explanation:
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
BC = 16 B=85 E=85 D=30 C=65
Step-by-step explanation:
Step-by-step explanation:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
if f(x)=3x+10, find f(4)?
a. f(4)=17
b. f(4)=22
c. 22
d. f(4)=12
Answer:
f(4) =22
Step-by-step explanation:
f(x)=3x+10
Let x=4
f(4)=3*4+10
Multiply
f(4) =12+10
Add
f(4) =22
Answer:
[tex]f(4 )= 22[/tex]
Step-by-step explanation:
[tex]f(x) = 3x + 10[/tex]
[tex]f(4) = 3(4) + 10[/tex]
[tex]f(4) = 3 \times 4 + 10[/tex]
[tex]f(4) = 12 + 10[/tex]
[tex]f(4 )= 22[/tex]
Hope it is helpful...Sufure area of cylinder
Answer:
1733.28 Square inches
Step-by-step explanation:
2(3.14)(6^2)+2(3.14)(6)(40)= 1733.28
r = radius (which is 6 in. Because radius is half of circumference and the circumference is 12 in.)
h = height of cylinder (which is 40 in. Shown in the diagram)
Answer:
1733.28 square inches
Step-by-step explanation:
Hi there!
What we know:
The diameter of the base (12 in.)The height of the cylinder (40 in.)The formula for the surface area of a cylinder: [tex]SA=2\pi r^2+2\pi rh[/tex]1) Determine the radius of the base (r)
The radius is equal to half the diameter. Given the diameter 12 in., we know that the radius would be 6 in.
Radius = 6
2) Plug all values into the SA equation and solve
[tex]SA=2\pi r^2+2\pi rh\\SA=2\pi (6)^2+2\pi (6)(40)\\SA=2\pi (36)+2\pi (240)\\SA=72\pi+480\pi\\SA=552\pi\\SA=552(3.14)\\SA=552(3.14)\\SA=1733.28[/tex]
Therefore, the surface area of the cylinder is 1733.28 square inches.
I hope this helps!
pls help pls pls pls
Answer:
12/4 i really hope this helps i took the test and got a 100
Step-by-step explanation:
Find the area of the rhombus.
48 cm2
14 cm2
96 cm2
24 cm2
Answer:
96 cm^2
Step-by-step explanation:
the diagonal bisect in the point of intersection, so their length is 12 cm and 16 cm
Area = (12 * 16)/2 = 96 cm^2
Answer:
24 cm^2
Step-by-step explanation:
rhombus -.-