The factor of the polynomial 6x² + x − 7 using factorization is (x − 1) and (6x + 7). Then the correct option is C.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The polynomial is given as 6x² + x − 7
On factorization, we have
6x² + x − 7
6x² + 7x − 6x − 7
x (6x + 7) −1 (6x + 7)
(x − 1)(6x + 7)
More about the factorization link is given below.
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What is the area of this figure?
Drag and drop the appropriate number into the box.
Please help!
Thank you! <3
Answer:
441
Step-by-step explanation:
I think
i need for homework please answer
Answer:
well, they all give you answers as fractions,
A.=1/9
B.=1/64
C.=1/64
Step-by-step explanation:
find measure of w in this trapezoid *please help*
Answer:
34°
Step-by-step explanation:
sum interior measure = (n-1)*180 ; n is the number of sides
of the polygon
(n-1)*180
(4-2)*180
2*180
360° ( sum interior measure )
The angles of the quadrilateral are ( 90 , 90 , w , 146 )
90+90+146+w = 360
326+w = 360
w = 360-326
w = 34°
Hope you get benefit from it
The graph shows the distance cars A and B travel.
Which statement is true about the unit rates shown in the graph?
A. The unit rate for car A is greater because the slope is greater than the slope for car B.
B. The unit rate for car B is greater because the slope is less than the slope for car A.
C. The unit rate for car A is greater because the slope is less than the slope for car B.
D. The unit rate for car B is greater because the slope is greater than the slope for car A.
Answer:
(a) The unit rate for car B is greater because the slope is greater than the slope for car A.
Step-by-step explanation:
We have been given a graph that represents the distance cars A and B travel. We are asked to choose the correct option about our given graphs.
Since slope represents the change in y-value with respect to change in per unit x value, so slope is also unit rate of the graph.
Let us find the slope of car A using points (8,5) and (0,0).
Let us find the slope of car B using points (5,8) and (0,0).
We can see that slope of car B is greater than slope of car A, therefore, option A is the correct choice.
Step-by-step explanation:
I 10. One day, Timmy works 4 hours and makes an additional $50 in tips. Another day, he works 6 hours and gets an additional $70 in tips. This makes his total earnings 4h + 50 - 6h + 70 - M, where M is the money he earns and h is the wage he makes per hour. If he makes $205, how much did he make as a salary per hour?
Pls help
Answer:
$8.50/h
Step-by-step explanation:
I am unsure of the - in the equation. This should be 4h+50+6h+70=M
then we would set the equation equal to the $205
205=4h+50+6h+70
if we simplify we have
205=10h+120
then we would get the h by itself and we get
205-120=10h
85.00=10h
85.00/10=10h/10
8.50=h
If a book rests on a flat table in what direction does the normal force from the table act on the book?
Answer:
The normal force is the force that a surface makes on an object that lies on that surface.
As the book rest flat in the table, the force acting on the book will be the gravitational force. This force pulls down the book against the table, then the normal force will be opposite to this, then the direction of this force is upwards. Being more exact, the normal force always acts on the normal direction to a given surface, to find the normal of a surface, you need to find the plane of the surface, then any perpendicular line to that surface will be "normal" to the surface (and the normal direction points away from the surface) then if the book is resting on top of the table, the direction of the normal will be upwards..
Then the force that acts on the book is normal to the surface of the table,
PLEASE HELP ill Mark BRAINLIEST 31 points too
Answer:(-1,7)
Step-by-step explanation:
During halftime of a basketball game, a slingshot launches T-shirts at the crowd. A teacher is launched from a height of 5 feet with an initial upward velocity of 72 ft./s. Use the equation h(t)=-16t^2+72t+5, where r is time in seconds and h(t) is height. How long Will it take the T-shirt to reach its maximum height? What is the maximum height?
Answer:
2.25 seconds, 86 feet.
Step-by-step explanation:
No idea where the r, second is, so I'm assuming that t is time in seconds.
Because this is a perfect parabola, we can find the zeroes (the places where the y value is 5, because that's where the teacher is launched from) and then get the middle of those 2 points.
First let's make the a term of this equation be positive so multiply everything by minus one.
16t^2-72t-5
After that, let's factor this (I won't go into details about this, you should already know how to do this if your asking this question)
we get t(t - 4.5) = 5
So the 2 x values are 0 and 4.5, and the whole flight time of the teacher is 4.5 seconds.
The half way between that is 2.25, and then we can plug that time back in to the equation to get a y value of 86.
100cm to 1 km in simplest form
Answer:
100cm = 0.001km
Step-by-step explanation:
100 divided by 100,000=0.001
Answer:
1/100th part of the whole part.
Step-by-step explanation:
Hope this helps :)
3. Which is NOT a way to write a ratio?
Answer:
Lowest term
Step-by-step explanation:
you can write a ratio using a fraction form, a colon form, and a word form. The lowest term is just a part of an answer.
5. Find three solutions of the equation (1 point)
y = 2x - 6
(-2.-10). (1.-4). (2. -1)
(-2,-10), (1.-4), (0.6)
(0.–6). (3.-2) (-2,-10)
(1.-4), (0.-6). (-1,-9)
The answer might be c. not 100% sure sorry
How do I do this I’m stuck and I have no idea how to do this I’m very behind and need help
Step-by-step explanation:
I don't see all the options.
I only see the options under "angles", as it seems.
anyway, the way to prove this is :
the official definition of similar triangles is :
two triangles are said to be similar if their corresponding angles are congruent (and the corresponding sides are in proportion - but that is automatically true, when all 3 angles are matching).
so, if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. we know this, because if two angle pairs are the same, then the third pair must also be equal (remember, the sum of all angles in a triangle is always 180°). When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
now, we look at the 2 triangles.
the angles QPR and STR are congruent (the same size).
we know also the angles QRP and SRT : they are both 90° and therefore congruent.
and that means that also the third angles PQR and RST are equal and therefore congruent (due to the 180° sum rule).
so, we have all 3 pairs of angles to be congruent, and the two triangles are therefore similar.
The diagram shows a tetrahedron.
AD is perpendicular to both AB and AC.
AB = 10 cm.
AC = 8 cm.
AD = 5 cm.
Angle BAC = 90°
Calculate the size of angle BDC.
Give your answer correct to 1 decimal place.
=================================================
Work Shown:
For now focus on triangle ABC. Since this is a right triangle, we can use the pythagorean theorem to find the hypotenuse BC.
a^2 + b^2 = c^2
(AC)^2 + (AB)^2 = (BC)^2
8^2 + 10^2 = (BC)^2
(BC)^2 = 164
BC = sqrt(164)
BC = 12.806248 approximately
-------------
Move onto triangle ABD. Find the missing side BD through the pythagorean theorem
a^2 + b^2 = c^2
(AD)^2 + (AB)^2 = (BD)^2
5^2 + 10^2 = (BD)^2
125 = (BD)^2
(BD)^2 = 125
BD = sqrt(125)
BD = 11.1803399 which is approximate
---------------
Move onto triangle ADC. We'll use the pythagorean theorem again
a^2 + b^2 = c^2
(AC)^2 + (AD)^2 = (CD)^2
8^2 + 5^2 = (CD)^2
89 = (CD)^2
(CD)^2 = 89
CD = sqrt(89)
CD = 9.433981 also approximate
---------------
Focus on triangle BCD. We have the following side lengths
BC = 12.806248 BD = 11.1803399CD = 9.433981Let
side d be opposite angle D, so d = BC = 12.806248 side b be opposite angle B, so b = CD = 9.433981side c be opposite angle C, so c = BD = 11.1803399Note the use of uppercase letters for angles and lowercase letters for side lengths.
We can then use the law of cosines to find the angle we're after
d^2 = b^2 + c^2 - 2*b*c*cos(D)
12.806248^2=9.433981^2+11.1803399^2-2*9.433981*11.1803399*cos(D)
163.999987837504=213.999997787893-210.950228380284*cos(D)
-210.950228380284*cos(D) = -50.000009950389
cos(D) = (-50.000009950389)/(-210.950228380284)
cos(D) = 0.237022781792173
cos(D) = arccos(0.237022781792173)
D = 76.2891111084541
D = 76.3
The size of the angle ∠BDC of the tetrahedron can be determined by
cosine rule.
The size of angle ∠BDC is approximately 71.1°
Reasons:
A tetrahedron is a pyramid with triangular faces.
By Pythagoras's theorem, we have;
[tex]\overline{DC}[/tex]² = [tex]\mathbf{\overline{AD}}[/tex]² + [tex]\mathbf{\overline{AC}}[/tex]²
∴ [tex]\overline{DC}[/tex]² = 8² + 5² = 89
[tex]\overline{DC}[/tex]² = 89
[tex]\overline{BC}[/tex]² = [tex]\overline{AB}[/tex]² + [tex]\overline{AC}[/tex]²
∴ [tex]\overline{BC}[/tex]² = 10² + 8² = 164
[tex]\overline{BC}[/tex]² = 164
[tex]\overline{DB}[/tex]² = [tex]\mathbf{\overline{AD}}[/tex]² + [tex]\mathbf{\overline{AB}}[/tex]²
[tex]\overline{DB}[/tex]² = 5² + 10² = 150
[tex]\overline{DB}[/tex]² = 150
By cosine rule, we have;
[tex]\overline{BC}[/tex]² = [tex]\overline{DB}[/tex]² + [tex]\overline{DC}[/tex]² - 2 × [tex]\mathbf{\overline{DB}}[/tex] × [tex]\mathbf{\overline{DC}}[/tex] × cos(∠BDC)
Therefore;
164 = 150 + 89 - 2 × √(150) × √(89) × cos(∠BDC)
2 × √(150) × √(89) × cos(∠BDC) = 150 + 89 - 164 = 75
[tex]cos( \angle BDC) = \mathbf{\dfrac{75}{2 \times \sqrt{150} \times \sqrt{89} }}[/tex]
[tex]\angle BDC = arccos \left(\dfrac{75}{2 \times \sqrt{150} \times \sqrt{89} } \right) \approx \mathbf{71.1 ^{\circ}}[/tex]
∠BDC ≈ 71.1°
Learn more here:
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Simplify 4.4
Please help me
Answer:
4
The dot in the middle simply means multiplication. 4.4 is 16. 16/4 is 4
Step-by-step explanation:
There were fifteen bales of hay in the barn and twenty - eight bales in the shed. Sam
stacked more bales in the barn today. There are now seventy-seven bales of hay in the
barn. How many bales did he store in the barn?
Answer:
62
Step-by-step explanation:
It took Rachel 4 hours to drive 214 miles from New York to
Boston. She drove the same number of miles each hour.
How many miles did Rachel drive each hour?
A 54.5mi
B 53.5mi
C 53.25mi
D 54.85mi
Answer:
53.5
Step-by-step explanation:
Answer:
she drove b 53.5 mi
Step-by-step explanation:
214 divided by 4
PLEASE HELP IM STUCK AND TIMED
Which statements describe survivors of the Holocaust after the war? Choose two correct answers.
Many did not want to return to Germany or Poland.
Many moved to Russia to create Jewish communities.
Many created communities near the concentration camps.
Many survivors moved to other countries around the world.
Many created museums and memorials for those who had died.
Answer: A and C
Step-by-step explanation:
Hello people ~
factorise: p² - 13p - 30
Answer:
[tex] {p}^{2} - 13p - 30 \\ \\ {p}^{2} - 15p - 2p - 30 \\ \\ p(p - 15) + 2(p - 15) \\ \\ (p + 2)(p - 15)[/tex]
# Jerry Don is here#
Answer:
[tex]\displaystyle [p + 2][p - 15][/tex]
Explanation:
Find two quantities that when differed to 13, they also multiply to 30. Those will be 2 and 15. The TINIER quantity gets the plus sign because the B-value is −13, therefore 15 gets the minus sign, leaving 2 with the plus sign.
I am joyous to assist you at any time.
1. 37.8 x 14 = ______ x 14 - 2.9 x 14
2. The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?
Pls add explaination
Answer:
2
Step by step explanation:
Given: The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?
Find out: how many students were there in the class room after one student left
Solution: Let the total number of remaining student be= n
Let the total number of remaining student be= nAnd the sum of mass of all the students be = x kg
So,
[tex] \frac{x}{n + 1} = 35.1[/tex]
Make x the subject of formula
[tex]--› \: x = 35.1(n + 1)[/tex]
And
[tex]--› \: \frac{x - 32.3}{n} = 36.3[/tex]
[tex]--›x - 32.3= 36.3n[/tex]
[tex]--› \: 35.1(n + 1) - 32.3 = 36.3n[/tex]
[tex]--› \: 35.1n + 35.1 - 32.3 = 36.3n[/tex]
[tex]--› \: 2.8 = 1.2n[/tex]
divide both side by n
[tex]n = \frac{2.8}{1.2} [/tex]
N = 2.333
so total number of students remaining is 2
if three arthmethic means are are inserted between -15 and 9,find the first of these arthmetic means.
Answer:
- 9
Step-by-step explanation:
We require
- 15 , m₁, m₂, m₃, 9
The average of the end values gives m₂ , that is
m₂ = [tex]\frac{-15+9}{2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
Similarly, the average of - 15 and m₂ gives m₁
m₁ = [tex]\frac{-15-3}{2}[/tex] = [tex]\frac{-18}{2}[/tex] = - 9
The first arithmetic mean m₁ = - 9
I’m slow at these stuff Please I’ll be so glad if someone help with this =^=
Answer:
the <5 = 28
because if u add <1 and <5 it will be a 180°
so....if u 180 - 152 ( which is the angle of 1< )
and
same goes to 2< and <3 but its a 90°
so....<2 = 90° - 36°
= 54
u should get the <4 too....
hope u get it
please mark me brilliant
Find the slope of the line
3. A(2,6), B(8,1)
5. N(-5,2), Q(1, -4)
Answer:
prosss the 5 with the diameter of it the ans will come
Step-by-step explanation:
use the formula of slope:
(y2-y1)/(x2-x1)
The total ages of Sarah, Jake and Matthew add up to 36. Jake is two years younger than Sarah and Matthew is 16 years younger than Sarah. If you let the variable
represent Sarah's age then which of the following would best represent the ages of:
Jake
and Matthew
O A. Jake: x + 4)
and Matthew: x-8)
OB Jake
x + 2
and Matthew: x - 16)
O Jake -2)
and Matthew: x - 16)
OD Jake: x+2
and Matthew: X16)
Next >
< Previous
go
D
DD
so
Answer:
Step-by-step explanation:
S+J+M=36
J=S-2 or J=x-2
M=S-16 or M=x-16
Answer:
Jake: x-2 and Matthew: x-16 (I think it is C on your sheet.)
Step-by-step explanation:
x = Sarah
x-2 = Jake
x-16 = Matthew
what is the circumfrence of a circle with a radius of 5 units
Answer: 31.42
Step-by-step explanation:
[tex]c = 2\pi \: r[/tex]
[tex]c = 2 \times 3.14 \times 5[/tex]
[tex]c = 31.4159[/tex]
Algebra
In how many ways could a supervisor select a 4-person sales team from a group of 12 salesmen
and 8 saleswomen if the supervisor wants exactly 2 women on the team?
Answer:
[tex]1848 ways[/tex]
Step-by-step explanation:
[tex]=(12nCr2)(8nCr2)=(66)(28)=1848[/tex]
Hope this helps
If the total amount of people serving as of January is estimated to be 1,400,000 people, how many are in the Air Force?
Air Force has 26% of people
Answer:
There are 364,000 people in the Air Force.
Step-by-step explanation:
Percentages
The N% of a number M is calculated by:
[tex]\displaystyle \frac{N*M}{100}[/tex]
For example, 15% of 280 is
[tex]\displaystyle \frac{15*280}{100}=42[/tex]
We know the total amount of people serving as of January is estimated to be 1,400,000 people and that 26% of them are serving in the Air Force.
Compute 26% of 1,400,000:
[tex]\displaystyle \frac{26*1,400,000}{100}=364,000[/tex]
There are 364,000 people in the Air Force.
can some one help me - 4 a - 2 a = - 18
To solve algebraic equations, we must combine like terms and perform inverse operations on both sides of the equal sign to isolate the variable.
The inverse operation of addition is subtraction, and vice versa.The inverse operation of multiplication is division, and vice versa.Inverse operations help us cancel values out.
Solving the Question[tex]- 4 a - 2 a = - 18[/tex]
⇒ First, combine like terms:
[tex]- 6a = - 18[/tex]
⇒ a is being multiplied by -6. To isolate a, divide both sides by -6:
[tex]\dfrac{- 6a}{-6} = \dfrac{- 18}{-6}\\\\a=3[/tex]
Answera = 3
Answer:
a=3
Step-by-step explanation:
-4a-2a=-18
-6a= -18
Divide both sides by -6
-6a/-6=-18/-6
a=3
How to find the angle measure x in the figures
Answer:
subtract 180 from the other two angles
Step-by-step explanation:
triangle involves 3 angles with x's in the equation, set the 3 angles = to 180 and solve
2 320 is invested for two years
at 14% p.a simple interest
At 12% p.a compound interest
which is a better investment and by how much
Answer:
which is a better investment and by how muchIt's 14% p.a simple interest
Step-by-step explanation:
Simple interst:
Answer:
I = $ 649.60
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 14%/100 = 0.14 per year,
then, solving our equation
I = 2320 × 0.14 × 2 = 649.6
I = $ 649.60
The simple interest accumulated
on a principal of $ 2,320.00
at a rate of 14% per year
for 2 years is $ 649.60.
Compound interest
Answer:
A = $2,945.78
A = P + I where
P (principal) = $2,320.00
I (interest) = $625.78
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 12/100
r = 0.12 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 2,320.00(1 + 0.12/12)(12)(2)
A = 2,320.00(1 + 0.01)(24)
A = $2,945.78
Summary:
20x+6=y
19x+7=y
answer please
Step-by-step explanation:
what we trying to find the value of x and y
20x+6=y
x intercept,y=0
20x+6=0-6
20x/20=-6/20
×=-0.3
y intercept,x=0
20(0)+6=y
0+6=y
6=y
(-0.3,0)
19x+7=y
y intercept,x =0
19(0)+7=y
0+7=y
7=y
x intercept,y=0
19x+7=0-7
19x=-7
19x/19=-7/19
x=-0.37