Answer:
Step-by-step explanation:
(x - 3)(x + 6)
=x(x + 6) -3(x + 6)
=x*x + x*6 - 3*x - 3*6
=x^2 + 6x - 3x - 18
=x^2 + 3x - 18
[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
9.03 which number is in the tenths place
Answer:
0
Step-by-step explanation:
think of the decimal as one
Answer:
Step-by-step explanation:
Zero (0) is in the tenths place here.
Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative inverse of 7, | 11-5|×|1-5|
Answer:
See Explanation
Step-by-step explanation:
a) Additive inverse of −2
the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.So the Additive inverse of -2 is 2. ∴ -2+2=0b) Additive identity of −5
Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number. -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.c) additive inverse of 3
Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.d). multiplicative identity of 19
an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multipliedMultiplicative identity if 19 is 1 only, since 19 x 1 = 19.e) multiplicative inverse of 7
Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.d) | 11-5|×|1-5|
| 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24The lengths of two sides of a triangle are 4 feet and 7 feet. Which could NOT be the length of the third side?
4
5
7
13
Answer:
4, 5, and 7
Step-by-step explanation:
Length of two sides are 4 and 7 feet.
Thier sum = 4 + 7 = 11 feet.
We know that, sum of two sides is always larger than the third side.
So, 4, 5, and 7, can not be the third side here.
Answer: 13
Step-by-step explanation: a= 4,
B= 7 a+b= 7+4=11 A+b>C 11>13 does not work so that’s could NOT be the length. there fore the answer is 13
What is the value of a in the equation 4a + 3(a + 1) = 24?
A. 2
B. 3
C. 7
D. 21
Answer:
B. a = 3
Step-by-step explanation:
4a + 3(a + 1) = 24
4a + 3a + 3 = 24
7a + 3 = 24
7a + 3 - 3 = 24 - 3
7a = 21
7a ÷ 7 = 21 ÷ 7
a = 3
Answer:
B
Step-by-step explanation:
Given
4a + 3(a + 1) = 24 ← distribute parenthesis and simplify left side
4a + 3a + 3 = 24
7a + 3 = 21 ( subtract 3 from both sides )
7a = 21 ( divide both sides by 7 )
a = 3 → B
If a physician order is 25% dextrose 1000 mL and all you have is 70% dextrose 1000 mL and 5% dextrose how much 70% dextrose will be used
Answer:
The answer is below
Step-by-step explanation:
Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:
The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x
25% of 1000 ml = 70% of x + 5% of (1000 - x)
25000 = 70x + 5000 - 5x
Simplifying gives:
65x = 25000 - 5000
65x = 20000
x = 308 ml
Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.
Make X the subject of the formula
[tex]y = \sqrt{ax + b} [/tex]
Answer:
[tex]x = \frac{y {}^{2} - b }{a} [/tex]
Step-by-step explanation:
[tex]y = \sqrt{ax + b} \\ y {}^{2} = ax + b \\ ax = y {}^{2} - b \\ x = \frac{y {}^{2} - b }{a} [/tex]
Answer:
x = [tex]\frac{y^2-b}{a}[/tex]
Step-by-step explanation:
Given
y = [tex]\sqrt{ax+b}[/tex] ( square both sides )
y² = ax + b ( subtract b from both sides )
y² - b = ax ( isolate x by dividing both sides by a )
[tex]\frac{y^2-b}{a}[/tex] = x
Which is the correct expansion of (3x+2)(3x^2+4)
Answer:6x + 3x^2 +4
depending on what your on
Step-by-step explanation:
Answer:
9x^3 + 6x ^2 + 12x + 8
Step-by-step explanation:
Do each individually.
First (3x^2)(3x) = 9x^3
Then (3x^2)(2) = 6x^2
Then (3x)(4) = 12x
Then (4)(2) = 8
Finally add everything together, since everything has a different exponent, then just combine like I have above.
If you borrow $700 for one year at an interest rate of 8% p.a, how much interest will you pay every month?
Answer:
$4.7 (approx)
Step-by-step explanation:
Simple interest = (principle * time * rate) / 100
Geometry
> * B.11 Distance formula 59F
Find the distance between the points (3, -6) and (9, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not
units
Submit
Answer:
D = 3 √5 units
Step-by-step explanation:
Here, we want to find the distance between these two points
to get this, we use the distance formula as follows
D = √(x2-x1)^2 + (y2-y1)^2
so we have for (3,-6) and (9,-3)
D = √(3-9)^2 + (-6 + 3)^2
D = √(36 + 9)
D = √(45)
D = 3√5 units
ok pls help i’m so bad at this
Answer:
6,068
Step-by-step explanation:
the length of the segment AB is 7.7*sin(52°) = 6,068
Answer:
6,068
Step-by-step explanation:
the length of the segment AB is 7.7*sin(52°) = 6,068
Step-by-step explanation:
A farmer uses 1/3 of an acre of land to grow carrots.
The carrots are grown in
There are 15 rows of carrots.
What part of land does each row of carrots take up?
Answer:
the answer is 1/45
Step-by-step explanation:
just use the proportion method
Select the correct answer.
You're given three angle measurements of 30° 70°, and 80°. How many triangles can you construct using these measurements?
OA 0
OB.
OC 2
OD. infinitely many
Reset
Next
Edmentum. All rights reserved.
Answer:
infinitely many
Step-by-step explanation:
All triangles that you can construct will be "similar", in that they have the same angles, but different sizes. The angles have to add up to 180, and they do in the measurements that you're given.
Find the vertex and the axis of symmetry of the graph of f(x) = 1/4(x-6)^2
Answer:
The vertex of the graph is at (6,0) and the Axis of symmetry is at x= 6
Step-by-step explanation:
Which equation represents the graphed function?
y = –2x + 3
y = 2x + 3
y = x + 3
y = –x + 3
Answer B
10 points to answer this question. Determin the numerical length of VW.
Answer:
9
Step-by-step explanation:
4x-7 + 3x = 5x -1
7x - 7 = 5x +1
2x = 8
x = 4
VW = 4x - 7
= 4(4) - 7
= 16-7
= 9
A cyclist travels 7 km from home to the park.
She leaves home at 17:40 and arrives at the park at 17:55.
What is her average speed in km/h?
Answer:
28 km per hour
Step-by-step explanation:
First determine the amount of time that the trip took
17:55 - 17:40 = :15 or 15 minutes
We need the time in hours
15 minutes * 1 hour/ 60 minutes = 15/60 hours = 1/4 hours
To determine speed, take distance and divide by time
7 km ÷( 1/4 hours)
Copy dot flip
7 * 4/1
28 km per hour
WILL MARK BRAINLIST!!
Answer:
24 units
Step-by-step explanation:
Look at the coordinate plane. First start with the bottom side (LN). The line goes from -3 to 9. This means that the line is 12 units long. Now, look at the other sides. MN goes from 3 to 9, therefore, the line is 6 units long. Lastly, look at ML— -3 to 3, therefore, the line is 6 units long. Add them all up, (12+6+6) and it equals 24 units.
24 units
////////////
if i have £100000 what is 47.6% OF THE MONEY
Answer:
Step-by-step explanation:
it maybe 11,000 i am not sure but i hope this helped
Answer:
47,600.00
Step-by-step explanation:
I just did a math test with that exact same Question.
If the area is 30cm and the length is 13,23 cm., what will be the width in
cm?
Answer:
ok so the standard equation for finding the area of a equation is BH=A
so if the lenth is 1323 and the width is unknown other wise X
we can make an equation
1323X=30
so we divide 30 by 1323 which is
X=0.02267573696 so
The width is about 0.023 cm
Your Welcome
BIFFY OUT!!!
Which of the following is the best use for the sign chart when graphing
rational functions?
O A. To determine if the graph of F(x) is straight or curved
O B. To determine the slope for the graph of F(x)
O C. To determine where the vertical asymptotes are for the graph of
F(x)
O
D. To determine where the maximum is for the graph of F(x)
SUBMIT
To determine where the maximum is for the graph of F(x)
Find the surface area of the cone in terms of pi
17 cm height
3 cm radius
Not drawn to scale
Answer:
[tex]60\pi\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The total surface area of a cone with radius [tex]r[/tex] and slant height [tex]\ell[/tex] is equal to [tex]SA=\pi r\ell+r^2\pi[/tex].
What we're given:
[tex]r[/tex] of 3 cm[tex]\ell[/tex] of 17 cmSubstituting given values, we get:
[tex]SA=3\cdot 17\cdot \pi+3^2\pi,\\SA=51\pi+9\pi,\\SA=\boxed{60\pi\:\mathrm{cm^2}}[/tex]
Solve 6x + 5 = 3x + 14
Step-by-step explanation:
6x-3x=14-5
3x=9
x=9/3
x=3
Step-by-step explanation:
6x + 5 = 3x + 14
6x - 3x = 14 - 5
3x = 9
x = 9/3
x = 3
Please help me with questions 6) ii), iii) and d). I’ve been trying for so long.
Answer:
5,000
Step-by-step explanation:
Which formula gives the coordinates of the midpoint of the segment connecting points (a, b) and (c, d)?
attached below is the options
this is worth 100 points
Step-by-step explanation:
the correct answer is
a. { ½(c-a), ½(d-b) }
________________
General formula
((x_1+x_2)/2,(y1+y2)/2)So
Here
for (a,b) and (c,d)
Midpoint
((a+c)/2,(b+d)/2)Option A
Solve the following system graphically.
y < - x
y =< x - 2
Upload one solution of the system and your graph
Answer:
a solution of the system is the point that satisfies both the equations
(1, -1) is a solution of the system
what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)
The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?
Math item stem image
CLEAR SUBMIT
97 muffins
100 muffins
101 muffins
120 muffins
Answer:
120 muffins
Step-by-step explanation:
If The Bake Shop makes 24 muffins in one hour and we need to find out how many muffins will the bake make in five hours, we need to multiply 24 times 5 which would equal 120 muffins in five hours.
Hope this is helpful
Write an equation for the following parabola. A. (x+5)^2+5 B. (x-3)^2+4 C. (x-5)^2+4 D. (x+3)^2+5 Please select the best answer from the choices provided
Answer:B
Step-by-step explanation:
A(3;4) in the parabola.
The answer B: y=(x-3)^2 +4.
y=yA=4; x=xA= 3
=> 4=(3-3)^2+4 (right)
Calculate the circumference of the circles with the following dimensions.
C-circumference
D-diameter
R-radius
P-3.14
1.
D= 4 in
D= 6 in
D=12 in
2.
R= 2 ft
R= 14 ft
R= 12 ft
3.
R= 9 ft
R= 11 ft
R= 7 ft
4.
D= 10 ft
R= 9 ft
D= 13 ft
Answer:
BELOW
Step-by-step explanation:
1) C= PD so
a) 12.56
b) 18.84
c) 37.68
2) C=2PR so
a) 2*3.14*2= 12.56
b) 2*3.14*14= 87.92
c) 2*3.14*12= 75.36
3) C=2PR so
a) 56.52
b) 69.08
c) 43.96
4)
a) 31.4
b) 56.52
c) 40.82
1c.) Mr. Armstrong earns $6.45 per hour. He is paid $7.95 for each hour he works over 40 hours in a week. (a)How much is he paid for a 43 hour week? (b)How many hours did he work if he received $313.65? SHOW ALL WORKING OUT *