Answer:
1
Step-by-step explanation:
Given
f(x) = x² - 8x - 4
The leading term in the expression is x²
with a coefficient of 1 ← leading coefficient
The leading coefficient of a quadratic function of equation fx=x2-8x-4 is 1.
The leading coefficient of a quadratic function is the coefficient of the x² term. In the quadratic function f(x) = x² - 8x - 4, the leading coefficient is 1 because the coefficient of x² is always assumed to be 1 when not explicitly shown.
check 2 x-1 is a factor of p[x]=x^3-x^2+2x-1
Answer:
Step-by-step explanation:
2x - 1 =0
2x = 1
x = 1/2
Now We have to find P(1/2). If P(1/2) is zero, then 2x - 1 is a factor of P(x)
P(x)= x³ - x² + 2x -1
[tex]P(\frac{1}{2})=[\frac{1}{2}]^{3}-[\frac{1}{2}]^{2}+2*[\frac{1}{2}]-1\\\\=\frac{1}{8}-\frac{1}{4}+1-1\\\\=\frac{1}{8}-\frac{1*2}{4*2}+0\\\\=\frac{1}{8}-\frac{2}{8}\\\\=\frac{1-2}{8}\\\\=\frac{-1}{8}\neq 0[/tex]
2x - 1 is not a factor of p(x)
How do I solve these two?
Answer:
1.D
2.B
Step-by-step explanation:
For the first one divide see which one is less which is D
For the second one Ive always used the method kcf keep change flip so you keep [tex]\frac{15}{1}[/tex] the change ÷ to multiplication so then flip [tex]\frac{2}{9}[/tex] so the equation would be
[tex]\frac{15}{1}[/tex]x[tex]\frac{9}{2}[/tex] so multiply the 15 by 9 then you get 135 then divide by 2 so thats your answer
4 part diagram. Part A: Earth between and Sun on left and Moon on right. Arrows point from Earth to Sun and Moon, respectively. Part B: Earth with Sun on left and Moon below. Arrows point from Earth to Sun and Moon, respectively. Part C: Moon between Earth and Sun. Arrow points from Earth through Moon to Sun. Part D: Earth with Sun on left and Moon above. Arrows point to Sun and Moon, respectively.
Use the drop-down menus to choose the correct answers
Answer:
Earth sees a full moon in A
Neap tides occur in D and B
Earth sees a third quarter moon in D
Tide levels are highest in A and C
Therefore, the solution to the problem is as follows -
Earth sees a full moon in A.Neap tides occur in D and B.Earth sees a third-quarter moon in D.Tide levels are highest in A and C.Know more about the sun here:
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Which angel is an alternate exterior angle with angle 4
Answer:
6
Step-by-step explanation:
Alternate exterior is always the opposite side but on the outside. If it starts on the top left, it goes down to the bottom right
Answer:
angle 6
Step-by-step explanation:
angel 6 is an alternate exterior angle with angle 4
Describe the shape resulting from the cross section.
A.
parallelogram
C.
rectangle
B.
triangle
D.
circle
Answer:
Is this all of the info?
Step-by-step explanation:
Answer:
i am still confuse plz give more info
Step-by-step explanation:
In triangle PQR, what is the triangle Q? Please answer as fast as possible! 100 POINTS!!!
Answer:
105 degrees
Step-by-step explanation:
The sum of the angles in a triangle add up to 180. Although we don't the know the numerical values of the angles, we can create an equation with the given expressions:
<P + <Q + <R = 180
(6x + 5) + (11x - 5) + x = 180
18x = 180
x = 10
Now, plug this value of x into the expression for Q:
<Q = 11x - 5 = 11 * 10 - 5 = 110 - 5 = 105
Thus, the measure of angle Q is 105 degrees.
Hope this helps!
Answer:
105 degrees
Step-by-step explanation:
The angles in a triangle must add to 180 degrees
<Q +<P + <R =180
We know <Q is 11x-5, <P is 6x+5 and <R is x, so we can substitute them in
11x-5+6x+5+x=180
Combine like terms
11x+6x+x +5 -5 =180
18x=180
Divide both sides by 18
x=10
Now we know x, and we can substitute that in to to find <Q
<Q=11x-5
<Q=11(10)-5
<Q=110-5
<Q=105
Find the radius circumference =62.8mi
Answer:
r = 10
Step-by-step explanation:
C = 62.8 = 2π·r
62.8 = 2·3.14·r
r = 62.8/2·3.14
= 31.4/3.14
= 10
Answer:
10 miles
Step-by-step explanation:
The circumference of a circle can be found using:
[tex]c=2r\pi[/tex]
We know circumference is 62.8, so we can substitute it in
62.8=[tex]2r\pi[/tex]
We want to find r, so we have to isolate it.
Divide both sides by [tex]2\pi[/tex] or 2*3.14 which is 6.28
62.8=[tex]2r\pi[/tex]
62.8=6.28r
62.8/6.28=6.28r/6.28
r=10
So, the radius is 10 miles
How many solutions does the equation −5a + 2 = 7 - 5a have?
Answer:
there are 0 answers.
Step-by-step explanation:
2-7 is not = 0a
26. A footbal player punts a ball. The path of the ball can be modeled by the equation y=--0.004x+
- 25 wherex is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball.
How far horizontally from the football player will the ball land? Round to the nearest tenth of a foot
Answer:
252.5
Step-by-step explanation:
y = -0.004x^2 + x + 2.5
-0.004x^2 + x + 2.5 = 0
x = 25(5+√26) = 252.5
Let me know fi you need any other help:)
I had this problem on my quiz, I dont know what you mean by + -25 but hope this will help
What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply. Sin(20°)=LN/8. Cos(70°)=8/LN . Tan(70°)=LN/MN . Sin(20°)=8/LN . Cos(70°)= LN/8
Answer:
The 1st one and last one
Step-by-step explanation:
What system of equations is shown on the graph below?
On a coordinate plane, a line goes through points (negative 2, 0) and (0, negative 4) and another line goes through (0, negative 2) and (4, 0).
x minus 2 y = negative 4 and 2 x + y = 4
x minus 2 y = 4 and 2 x + y = negative 4
x minus 2 y = negative 2 and 2 x + y = negative 4
x minus 2 y = 2 and 2 x + y = 4
Answer:
The equation of the line passing through the points (-2,0) and (0,-4)
[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{y - 0}{x - ( - 2)} = \frac{ - 4 - 0}{0 - ( - 2)} = \frac{ - 4}{2} = - 2[/tex]
[tex]y = - 2(x + 2) \\ y = - 2x - 4[/tex]
[tex]2x + y = - 4[/tex]
The equation of the line passing through the points (0,-2) and (4,0)
[tex]\frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} \: [/tex]
[tex] \frac{y - ( - 2)}{x - 0} = \frac{0 - ( - 2)}{4 - 0} [/tex]
[tex] \frac{y + 2}{x} = \frac{1}{2} [/tex]
[tex]x - 2y = 4[/tex]
Option B
x minus 2 y = 4 and 2 x + y = negative 4
The system of equation can be determine by using formula of equation of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex].
The system equation would be [tex]2x+y=-4[/tex] and [tex]x-2y=4[/tex].
Given:
The given points are [tex](-2,0)[/tex] and [tex](0,-4)[/tex] and for another line [tex](0,-2)[/tex] and [tex](4,0)[/tex].
Find the equation line passing through point [tex](-2,0)[/tex] and [tex](0,-4)[/tex] .
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the value in above equation.
[tex]\dfrac{y-0}{x-(-2)}=\dfrac{-4-0}{0-(-2)}\\y=-2(x+2)\\y=-x-4\\2x+y=-4[/tex]
Find the equation line passing through point [tex](0,-2)[/tex] and [tex](4,0)[/tex] .
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the value in above equation.
[tex]\dfrac{y-(-2)}{x-0}=\dfrac{0-(-2)}{4-0}\\\\x-2y=4[/tex]
Thus, the system equation would be [tex]2x+y=-4[/tex] and [tex]x-2y=4[/tex].
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Lin needs to mix a specific shade of orange paint for the set of the school play.
The color uses 3 parts yellow for every 2 parts red.
Answer:
2/3
Step-by-step explanation:
Each time 2 parts of red is being used, 3 parts of yellow is used. The yellow depends on the red so 2/3.
PLS HELP I AM TIMED 10 POINTS You are told that a triangle has two equal angles. What type of triangle could it be? Check all of the boxes that apply. acute equilateral isosceles obtuse right scalene
Answer:
Obtuse, right, isoceles, acute
Step-by-step explanation:
there are a total of 10 pigs and ducks in the barn. there are 36 legs in all all each pig has four legs and each duck has two legs , use substitution to solve the linear system of equations and determine how many pigs x and ducks y there are express the solutions as as ordered pairx,y
Answer:
A Farmhouse shelters 10 animals. some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there? Answer: 8 pigs and 2 ducks.
1. (A) p + d = 10
2. (B) 4p + 2d = 36
3. Multiply equation (A) with -2; -2p minus -2d = -20
4. When subtracted from equation (B), this gives you.. 2p = 16, pigs = 8
5. Use this 8 to the second equation by substitution.. 2d = 4, ducks = 2
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
2 sqrt(3) =x
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opp side/ hypotenuse
sin 60 = x/4
Multiply each side by 4
4 sin 60 =x
We know sin 60 = sqrt(3)/2
4 sqrt(3)/2 =x
2 sqrt(3) =x
Please help!
The isosceles triangle below is rotated along the blue dashed line going through the center. Find the volume of the cone formed by doing this rotation. Round your answer to the nearest tenth.
Answer:
47.1
Step-by-step explanation:
Sorry if its wrong
The cone's volume is approximately 47.1 cubic centimeters, obtained by rotating the provided isosceles triangle along its central blue axis.
The volume of a cone is calculated by the following formula:
[tex]$V = \frac{1}{3}\pi r^2 h$[/tex]
where r is the radius of the base and h is the height of the cone.
In this case, the height is simply the height of the triangle, which is 5 cm.
The radius is a bit trickier.
Notice that the blue dashed line bisects the base of the triangle. Therefore, the radius is half the length of the base, which is 6 cm / 2 = 3 cm.
Substituting these values into the formula, we get:
[tex]$V = \frac{1}{3}\pi (3\text{ cm})^2 (5\text{ cm})$[/tex]
[tex]$V = 15\pi \text{ cm}^3$[/tex]
Rounding this to the nearest tenth, we get:
[tex]$V = 47.1 \text{ cm}^3$[/tex]
Therefore, the volume of the cone is approximately 47.1 cubic centimeters.
how many sides does a rhombicosidodecahedron have
Answer:
It has 120 sides but mark the other guy brainliest
Step-by-step explanation:
Two math classes are selling raffle tickets to raise money.
• One class is selling tickets for $3.50 each and has already raised $550.
• The other class is selling tickets for $5.00 each and has already raised $250.
Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?
A) 5.00t + 550 = 3.50t + 250
B) 550t + 3.50 = 250t + 5.00
C) 3.50t + 550 = 5.00t + 250
D) 3.50 + 550 = 5.00t + 250t
Answer:
3.50t + 550 = 5.00 + 250 bc well always remember that each means Multipy!
Sort the property that characterizes either a trapezoid or a kite
can have congruent diagonals
Trapezoid
Kite
has one pair of opposite, parallel sides
has congruent adjacent sides
has perpendicular diagonals
Trapezoid:
•Can have congruent diagonals. •Has one pair of opposite, parallel sides.
Kites:
•Has congruent adjacent sides.
•Has perpendicular diagonals.
Properties of trapezoid and kite are follows
Trapezoid
Can have congruent diagonalsHas one pair of opposite, parallel sidesKite
Has congruent adjacent sidesHas perpendicular diagonalsWhat is Trapezoid?Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides.
What is Kite?A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.
Here,
Trapezoid
Can have congruent diagonalsHas one pair of opposite, parallel sidesKite
Has congruent adjacent sidesHas perpendicular diagonalsHence, the properties of trapezoid and kite are follows
Trapezoid
Can have congruent diagonalsHas one pair of opposite, parallel sidesKite
Has congruent adjacent sidesHas perpendicular diagonalsLearn more about Trapezoid and Kite here
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Tammy is buying a soft toy from a shop. The cost of the toy is 9 dollars and she also has to pay a sales tax that is 15% of the price of the toy. She wants to know the total cost she will have to pay.
Answer:10.35 dollars
Step-by-step explanation: 15% of 9 dollars is 1.35
so you add 1.35 to 9 dollars to find the total cost
The total cost she will have to pay for the toy is $10.35.
What is the percentage?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given the cost of the toy = $9
sale tax on toy = 15% of the total price
sale tax on toy = 15% of 9
sale tax on toy = 0.15 x 9
sale tax on toy = $1.35
total cost to pay = $9 + $1.35
total cost to pay = $10.35
Hence total cost to pay is $10.35.
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Simon is having a birthday party, and each guest gets a bag of party favors. Each goody bag contains one of 7 different toy cars and one of 3 different toy trucks. Each goody bag also has one of 4 different temporary tattoos. How many different combinations of party favors can there be in a goody bag?
Answer:
84
Step-by-step explanation:
7*3=21*4=84
7 toy cars multiplied by the combination of 3 toy trucks equals 21 then times that by the 4 temp. tattoos, then you get 84
The system of equations(In attachment) has
A) One Solution
B) Infinitely Many Solutions
C) No Solutions
Answer:
4x - 6 = 4x + 4
-6 not equal to 4
Therefore, the answer is c
No Solutions
Step-by-step explanation:
In RST, X is the midpoint of RS and Y is the midpoint of RT. Given that XY = 3z + 2 and ST = 7z - 1, what is the value of z?
Answer:
Step-by-step explanation:
XY=ST/2
3z+2=(7z-1)/2
2*(3z+2)=7z-1
2*3z+2*2=7z-1
6z+4=7z-1
+1 +1
6z+5=7z
-6z -6z
5=z
The required value of z is 5.
Given that,
In RST, X is the midpoint of RS,
And Y is the midpoint of RT.
XY = 3z + 2 and ST = 7z - 1.
We have to determine,
What is the value of z.
According to the question,
X is the midpoint of RS,
And Y is the midpoint of RT.
Therefore,
[tex]XY = \frac{ST}{2}[/tex]
Putting the value of XY and ST in the equation,
XY = 3z + 2 and ST = 7z - 1.
Then,
[tex]XY = \frac{RS}{2} \\\\3z+ 2 = \frac{7z-1}{2}\\\\2 \times(3z+2) = 7z-1\\\\= 6z+4= 7z-1\\\\6z-7z = -1-4\\\\-z = -5\\\\= z = 5[/tex]
Hence, The required value of z is 5.
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I need to answer number one I will give as many points as I can for the question and I will mark brainiest
Answer:
diagram is below6, 11, 16, 21s[n] = s[n-1] +526, 31, 36Step-by-step explanation:
a) See below for the next diagram in sequence.
__
b) The numbers of straws in each diagram are ...
6, 11, 16, 21, ...
__
c) Each term is 5 more than the previous one, so the recursive rule for the number of straws is ...
s[1] = 6
s[n] = s[n-1] +5
__
d) The next three terms of the sequence are ...
..., 26, 31, 36, ...
Adrian cuts a block of wood as shown. What is the volume of the block of wood?
Answer:
432
Step-by-step explanation:
Volume of cuboid:
12 x 4.5 x 5.5 = 297
volume of traingular prism:
(12x5)/2 x 4.5 =135
add them together:
135+297 =432
hope this helps!
So, the required volume of the given wooden block is 432 cubic cm.
The volume of the rectangular and triangular prism:The formula for the volume of the rectangular prism is,
[tex]v=l\times b \times h[/tex]
And the formula for the volume of the triangular prism is,
[tex]v=\frac{1}{2} \times b \times h[/tex]
It is given that,
The volume of the wood is equal to the volume of the rectangular prism and triangular prism.
So, by using the above formula we can write as,
The volume of the wood is,
= volume of the wood is equal to the volume of the rectangular prism + triangular prism.
[tex]=l\times b\times h+\frac{1}{2}\times h\times l\\ =12\times 4.5 \times 5.5 +\frac{1}{2} \times 12\times 4.5 \times 5\\=297+135\\=432 cm^3[/tex]
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Find the volume of the figure.
A) 288 cm3
B) 480 cm3
C) 544 cm3
D) 640 cm3
Answer:
A) 288 [tex]cm^{3\\}[/tex]
Step-by-step explanation:
The Volume of the figure is 288 cm³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.
Given:
Base edges = 4 cm x 4 cm
Height = 1 cm
So, Volume = area of the base x height
For Figure 1:
Volume of figure1
=(4x4)x 10
=160
For Figure 2:
Volume of figure 2
= (8x4) x 4
= 128
Thus, the Total volume = 160+ 128 =288 cm³
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Which of the following is the best reason that it might be difficult to predict an individual's future health issues?
a Health issues are determined by environmental factors, which are subject to change.
b. Health issues are determined by a complex interaction of environmental and genetic factors, which is
difficult to predict
C. Health issues are determined by genetic inheritance, which is not fully understood.
d Health issues depend on lifestyle choices, which are not always predictable.
Answer:
b
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
Health issues are determined by a complex interaction of environmental and genetic factors, which is difficult to predict.
Solve the equation for b: -4b + 18 = -6
--------------------------------------------------------
-4b + 18 = -6
Subtract 18 from both sides:
-4b + 18-18=-6-18
Simplify:
-4b= -24
Divide both sides by -4:
-4b/-4 = -24/-4
Simplify:
b=6
Your Answer Is b= 6
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Find the unit rate.
10 deliveries in 5 hours = |
deliveries per hour
Answer: 2 deliveries per hour
Step-by-step explanation:
Steve buys 2 lbs Of grapefruit
Answer:
Well, whats the question the answers 2 pounds i guess
Step-by-step explanation: