9514 1404 393
Answer:
b = -8, 2.5
Step-by-step explanation:
The equation can be rewritten to standard form:
2b² +11b -40 = 0
In this form, it can be factored by looking for factors of (2)(-40) that have a total of +11.
-80 = 80(-1) = 40(-2) = 20(-4) = 16(-5) = 10(-8)
The factors 16 and -5 total 11, so we can now write the equation in a form suitable for factoring by grouping:
2b² +16b -5b -40 = 0 . . . . write the b term using the numbers we found
2b(b +8) -5(b +8) = 0 . . . . factor pairs of terms
(2b -5)(b +8) = 0 . . . . . . . . finish the factoring
Solutions are values of b that make these factors zero:
2b -5 = 0 ⇒ b = 5/2
b +8 = 0 ⇒ b = -8
Solution to the equation are b = -8 and b = 5/2.
1 7/8 times 4/5 simplified!!!
Answer:
1.5
Step-by-step explanation:
Find the first five terms for the following arithmetic sequence Tn=5n-6?
Answer:
The first five terms are -1,4,9,14 and 19.
Step-by-step explanation:
The arithmetic sequence is :
[tex]T_n=5n-6[/tex]
We need to find the first five terms of the sequence.
Put n = 1 for first term.
[tex]T_1=5(1)-6=-1[/tex]
Put n = 2 for second term.
[tex]T_2=5(2)-6=\\\\=10-6\\\\=4[/tex]
Put n = 3 for third term.
[tex]T_3=5(3)-6=\\\\=15-6\\\\=9[/tex]
Put n = 4 for fourth term.
[tex]T_4=5(4)-6=\\\\=20-6\\\\=14[/tex]
Put n = 5 for fifth term.
[tex]T_3=5(5)-6=\\\\=25-6\\\\=19[/tex]
Hence, the first five terms are -1,4,9,14 and 19.
6 friends are going on a trip and are splitting the cost of a rental house that is $534. How much does each person have to pay?
Answer:
$89
Step-by-step explanation:
cost of the house is $534 as 6 PEOPLE are going to obtain the cost of a single person you have to divide the total value by 6
Quadrilateral EFGH was dilated and rotated 90° clockwise about the origin to form quadrilateral EFGH! Which part of quadrilateral EFG'H'is congruent to quadrilateral EFGH?
Answer: It’s angle measures
Step-by-step explanation: iready
Drag the numbers to the correct locations on the image. Not all numbers will be used.
Complete the synthetic division to find the quotient of and .
Answer:
First Column: 8
Third Column: 24
Fourth Column: 4
Fifth Column (from top to bottom): 32; 0
This means that:
[tex](3x^3-25x^2+12x-32)\div (x-8)=3x^2-x+4[/tex]
Step-by-step explanation:
We can perform synthetic division when we divide a polynomial P(x) by a binomial in the form of (x - a).
When doing so, the number that goes to the very left of our structure will be the constant a.
We fill the first row with the coefficients of each term.
We are dividing [tex]3x^3-25x^2+12x-32[/tex] by [tex]x-8[/tex].
So, a = 8.
Therefore, for the first column, the number there is 8.
The second column has been filled out.
For the third column, we multiply the previous number by our a.
The previous number is 3. 3(8) is 24.
So, the number in the third column is 24.
(And we add 24 to -25 to acquire -1).
So, for the fourth column, we will add the two numbers to acquire (12 - 8) = 4.
Hence, the number for the fourth column is 4.
For the fifth column, the top box, it will again be the previous number multiplied by our a.
The previous number is 4. 4(8) is 32.
So, the number in the top box of the fifth column is 32.
And when added to -32, it equates to 0. Hence, the second box of the fifth column is 0.
This means that:
[tex](3x^3-25x^2+12x-32)\div (x-8)=3x^2-x+4[/tex]
Answer:
[tex] \frac{(3 {x}^{3} - 25 {x}^{2} + 12x - 32)}{(x - 8)} = (3 {x}^{2} - x + 4)\\[/tex]
the circumference of a circle if the diameter if 22
Step-by-step explanation:
✻ [tex] \underline{ \underline{ \sf{Given}}} : [/tex]
Diameter of a circle ( d ) = 22✻ [tex] \underline{ \underline{ \sf{To \: find}}}: [/tex]
Circumference of a circle ( C )❅ [tex] \underline{ \underline{ \sf{Solution}}}: [/tex]
⇢ [tex] \boxed{ \sf{Circumference \: of \: a \: circle ( C ) \: = \: \pi d}}[/tex]
⇢[tex] \sf{ \frac{22}{7} \times 22}[/tex]
⇢[tex] \sf{69.14 \: units}[/tex]
[tex] \blue{ \boxed{ \boxed{ \underline{ \tt{⟿ \: Our \: final \: answer : 69.14 \: units}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ツ
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Lines with the same slope and a different y intercept never intersect.
TRUE OR FALSE?
Answer:
True
Step-by-step explanation:
Lines with the same slope and different y-intercepts are considered parallel. As they extend forever, the lines will never intersect.
I GIVEEEEE BRAINLILSTTTTT
Answer:
side of black is 7
side of green is 14
Dilation scale factor is 2
hope this helps :)
please mark branliest
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
To find the scale factor of a dilation, we first have to find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the green shape. The length on the black shape measures 7 units and the length on the green shape measures 14 units.
Now, we divide the length taken from the figure by the length taken from the original shape.
14/7=2
Therefore, the scale factor of the dilation is 2.
I hope this helps!
median for 9, 8, 5, 4, 3,18, 15 *
What is the mode for 1,1,1,2,3,5,10,10,10,10,14,11
Answer:
median: 8
mode: 10
what is the slope of a vertical line?
Answer:
undefined
Step-by-step explanation:
Help me, save my life.
Who can help on this for brainliest ?
Answer:
6
Step-by-step explanation:
[tex]1\frac{1}{2}[/tex]÷[tex]\frac{1}{4}[/tex]=
[tex]\frac{3}{2} *\frac{4}{1}[/tex]=
6
Hope this helps!
Pls give brainliest
Answer:
3 or 6
Step-by-step explanation:
im pretty sure its 3 or 6
h(x)=-x^2+10x-16 What is the height of the ball at the time it is thrown
Answer:
0m
Step-by-step explanation:
Before the ball is thrown, it is at the ground level. At the ground level, the height is zero. Substitute h = 0 into the equation;
h(x)=-x^2+10x-16
0=-x^2+10x-16
x^2-10x+16 = 0
Factorize
x^2-8x-2x+16 = 0
x(x-8) - 2 (x-8) = 0
x-2 = 0 and x - 8 = 0
x = 2 and 8
At x = 2
h(2) = -2^2 + 10(2) - 16
h(2) = -4 + 4
h(2) = 0
Hence the height of the ball at the time it is thrown is 0m
Work out the size of angle
X.
50°
120°
On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of elevation is 5 degrees from the victim, at what vertical distance did the sniper shoot from
Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m
What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?
15
52
4
5
Answer:
Multiply both sides by [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{5}x = 10[/tex]
Required
Get an equivalent of [tex]x = 25[/tex]
To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]
[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]
[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]
[tex]x = 10 * \frac{5}{2}[/tex]
[tex]x =\frac{10*5}{2}[/tex]
[tex]x =\frac{50}{2}[/tex]
[tex]x = 25[/tex]
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was five minutes. Use that as a planning value for the standard deviation in answering the following questions.a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 78 seconds, what sample size should be used
Answer:
57
Step-by-step explanation:
Given that :
Standard deviation (σ) = 5 minutes = (5 *60) = 300 seconds
Margin of Error, E = 78
Assume a confidence interval of 95%;
Using the relation :
((Zα/2 * σ) / E)²
(1 - α)/2 = (1 - 0.95)/2 = 0.05 /2 = 0.025
Z0.025 = 1.96
Sample size = ((1.96 * 300) / 78)²
Sample size = (588 / 78)^2
Sample size = 7.5384615^2
Sample size = 56.828
= 57 samples
Find the equivalent expression.
3+5x−4y+2y−8x
Answer:
-3x - 2y + 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3 + 5x - 4y + 2y - 8x
Step 2: Simplify
Combine like terms (x): -3x - 4y + 2y + 3Combine like terms (y): -3x - 2y + 3Answer:
3+5x−4y+2y−8x is the equivalent ti 3-3x-2y
Step-by-step explanation:
3+5x−4y+2y−8x
3+5x-8x-4y+2y
3-3x-2y
An expression is shown in the screenshot pls answer!!!
Answer:
[tex]2^{7} -9(4*4+4)[/tex]
Step-by-step explanation:
What is the y-intercept of y = –2:+ 6? Choose 1 answer: (0, -2) (0,6) (-2,0) (6,0
Answer:
A circle has the equation x2+ y2 + 2x - 2y - 34 = 0. Graph the circle using the center (h, k) and radius r. Find the intercepts, if any, of the graph. What are the intercepts? Select the correct choice below and fill in any answer boxes within your choice. The intercept(s) is/are . (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer for each coordinate, using radicals as needed.) There are no intercepts.
Show transcribed image text A circle has the equation x2+ y2 + 2x - 2y - 34 = 0. Graph the circle using the center (h, k) and radius r. Find the intercepts, if any, of the graph. What are the intercepts? Select the correct choice below and fill in any answer boxes within your choice. The intercept(s) is/are . (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer for each coordinate, using radicals as needed.) There are no intercepts.
Step-by-step explanation:
Answer:
[tex]y = - 2x + 6 \\ at \: y - intercept, \: x = 0 \\ substitute \: for \: x \: in \: th e \: equation \\ y = - 2(0) + 6 \\ y = 6 \\ y - intercept = (0,6)[/tex]
can u pls help me with this question
Answer:
15.58
Step-by-step explanation:
it is
What's the Answer for (-8 ) – (- 8 ) =
Pls help I’ll brainlest grades close today
Answer:
12.5%
Step-by-step explanation:
[First Value – Second Value] ÷ [(First Value + Second Value) ÷ 2] × 100
[50 - 30] ÷ [ 50 + 30] ÷ 2 × 100
20 ÷ 80 ÷ 2 × 100
0.25 ÷ 2 × 100
0.125 × 100
12.5 %
Answer:
12.5%
!!!!!!!!
The points (1, 4) and (0, 2) fall on a particular line. What is its equation in slope-intercept
form?
A triangular prism, with bases consisting of equilateral triangles of side length s, has height h and a volume of 250. If the surface area of the prism includes the areas of all the sides and the bases, what value of s minimizes the surface area of the prism
Answer:
10
Step-by-step explanation:
The required value of s to minimize the surface area of the prism is given as 10.
What is a triangular prism?A triangular prism has 2 triangles as their top and bottom and three other faces as rectangles. The volume of the prism is given as the product of its height and base area.
The given problem can be solved as follows,
The expression for the volume of the prism is given as,
V = √3/4 × s²h
Substitute V = 250 to obtain,
250 = √3/4 × s²h
⇒ s²h = 1000/√3 (1)
And, the expression for the surface area is given by,
A = 3 × sh + √3/4s²
Substitute h = 1000/(√3s²) in the above equation to obtain,
A = 1000√3/s + √3/4s²
In order to get the minimum area differentiate A with respect to s and equate it to zero to get,
dA/ds = 0
⇒ √3/2s - 500√3/s² = 0
⇒ s = 10
Hence, in order to minimize the area the the value of s is obtained as 10.
To know more about triangular prism click on,
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6x + 2(3x – 9y + 5) + (-9)
A line has a slope of 5 and passes through the point (1, 0). What is its equation in
slope-intercept form?
Answer:
y=5x-5
Step-by-step explanation:
find y-intercept:
0=1(5)+b
b=-5
Answer:
y = 5x - 5
Step-by-step explanation:
y = mx + b
m = 5
b = ?
Plug in the coordinates
0 = 5(1) + b
0 = 5 + b
-5 = b
Finally:
y = 5x - 5
Write the following decimal number in its equivalent fraction form. Show all work
0.8
Answer:
4/5
Step-by-step explanation:
0.8=8/10=4/5
tadaaa
0.023, 22% which one is greater?
Answer:
22% is greater.
Step-by-step explanation:
0.023 x 100 = 2.3
Answer:
22%
Step-by-step explanation:
22% is greater than 0.023 because 22% is equal to 0.22.
3.5 ÷ 2.29 round to nearest tenth
Answer:
1.5
Step-by-step explanation:
Thats rounded.