Answers
Related Questions
10 POINTS!! PLEASE HELP!!
Answers
Answer:
only the third answer is right.
Step-by-step explanation:
to solve it, we need to bring everything to the same denominator (the expression below the division line) or eliminate it completely.
how do we do it ? by multiplying everything with the same expression, so that we can eliminate the denominator for every term.
when looking for the best option I see that
(x² + 5x + 6) = (x + 2)×(x + 3)
that is great, because this covers all 3 denominators in our main expression.
so, we multiply everything by ((x+2)×(x+3)) and eliminate the denominators and the corresponding part of our multiplier.
that leaves us with
x×(x+3) + 2 = 5×(x+2)
now we simply simplify the expression
x² + 3x + 2 = 5x + 10
x² - 8x - 8 = 0
a squared equation has typically 2 solutions. and they are defined as
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case
a = 1
b = -8
c = -8
x = (8 ± sqrt(64 + 32)) / 2 = (8 ± sqrt(96))/2 =
= (8 ± sqrt(16×6))/2 = (8 ± 4×sqrt(6))/2 = 4 ± 2×sqrt(6)
x1 = 4 + 2×sqrt(6)
x2 = 4 - 2×sqrt(6)
both solutions are different from -2 or -3, therefore -2 and -3 are not solutions at all, and they cannot be extraneous solutions either for that reason.
and since we have 2 perfectly fine solutions, the answer options work no or only one solutions are wrong too.
What is the equation of the graph ? ILL pay
Answers
Answer:
Step-by-step explanation:
You have it right it is 6^x -3
You have the right idea, but you don't need to type in the "y=" portion since that is already taken care of. So you just need to type in -3 + 6^x
Please help me solve this, and show your work
Answers
Answer:
16. 25/45 ; 18/45
17 4/7; 4/7
Step-by-step explanation:
5/9 and 2/5
The common denominator is 45
5/9 * 5/5 = 25/45
2/5 *9/9 = 18/45
4/7 and 12/21
Simplify 12/21 by dividing by 3 in the numerator and denominator
12/21 = 4/7
4/7; 4/7
The common denominator is 7
16:25/45;18/45
17: 4/7;4/7
Answer:
16:5/9;2/5
Common denominator is 9*5=45
now
make a equal denominator
5/9=5/9*5/5=25/45
2/5=2/5*9/9=18/45
and
17: 4/7;12/21
common denominator =7
4/7
12/21=4/7
The equation of the line with slope −4 that goes through the point (8,−3)
can be written in the form y=mx+b
where m is:
and where b is:
Answers
Answer:
y = -4x + 29
Step-by-step explanation:
-3 = -4(8) + b
-3 = -32+b
29=b
The equation whose slope is -4 and passes through (8,-3) is y=-4x+29 where slope is -4.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?We have been given slope of line being -4 and point through which it passes (8,-3) and we have to find the equation of line.
The equation from two points can be calculated through the following formula:
y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]) and slope is m.
Putting the values of points and slope in the formula given above.
y-(-3)=-4(x-8)
y+3=-4(x-8)
y+3=-4x+32
y=-4x+32-3
y=-4x+29
Hence the equation is y=-4x+29 where slope is -4.
Learn more about equation at https://brainly.com/question/2972832
#SPJ2
Determine what type of model best fits the given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. none of these
B. quadratic
C. exponential
D. linear
Answers
Answer:
T = -t / 4 + T0 where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature
This is a linear equation in T and t
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
The given situation is linear equation in T and t. so option D is correct option.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
T = -t / 4 + T0
where t is the temperature in minutes elapsed.
T is the final temperature.
T0 is the initial temperature.
We need to find the type of model best fits the given situation.
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
Therefore, The given situation is linear equation in T and t. so option D is correct option.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ5
F(x) = 6x+2, find f (x+3)
Answers
Answer:
6x+20
Step-by-step explanation:
F(x) = 6x+2
f(x+3) means replace x with x+3
F(x+3) = 6(x+3)+2
= 6x+18+2
= 6x+20
Answer:
A; F(x+3) = 6x^2 + 20x + 6
Step-by-step explanation:
To find it you just would multiply F(x) onto the other side. So it would look like this:
F(x+3) = 6x + 2 (x+3)
F(x+3) = 6x^2 + 2x + 18x + 6 *combine like terms getting you
F(x+3) = 6x^2 + 20x + 6
Hope this helped!!
Help me plz I don’t really understand geometry
Answers
Answer:
KI is congruent to WY
Step-by-step explanation:
SSS postulate that if three sides of a triangle are equal, so this means KI must be congruent to WY
Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2).
Answers
Answer:
9x³ - 2x - 3
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(6x³ - 8x - 5) + (3x³ + 6x + 2)
Step 2: Simplify
Combine like terms (x³): 9x³ - 8x - 5 + 6x + 2Combine like terms (x): 9x³ - 2x - 5 + 2Combine like terms: 9x³ - 2x - 3what is 3 over 4 divided by 1 over 6
Answers
18 divided by 4
4.5
Factor of 3x^3-x^2-20x-12
Answers
Answer:
(−3)(+2)(3+2)
Step-by-step explanation:
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(32+8+4)
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(+2)(3+2)
What is the measure of m
Answers
The answer is 9 bc it must be longer than the base of the trianngle
Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?
Answers
Answer:
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Step-by-step explanation:
Let the cost of cake be C.Let the cost of pie be PC = 2P .....equation 1
4C + 2P = 20 .....equation 2
Substituting eqn 1 into eqn 2, we have;
4(2P) + 2P = 20
8P + 2P = 20
10P = 20
P = 20/10
Pie, P = $2
Next, we would determine the cost of a cake;
From equation 1;
C = 2P
Substituting the value of "P" we have;
C = 2 * 2
Cake, C = $4
Therefore, we would have the following answers;
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Check:
From equation 2;
4C + 2P = 20
4(4) + 2(2) = 20
16 + 4 = 20
20 = 20
Help me with this please I don’t understand
Answers
Answer: IT IS CONGRUENT BY ASA POSTULATE.
Step-by-step explanation:
ACCORDING TO THE GIVEN IMAGE
CONSIDER TRIANGLE 1 AS TRIANGLE ABC AND TRIANGLE 2 AS TRIANGLE PQR
IN TRIANGLE ABC AND PQR
ANGLE B = ANGLE C ( 90 DEGREES )
AC = PR ( GIVEN IN FIGURE )
A TRIANGLE HAS SUM OF INTERIOR ANGLES AS 180 DEGREES
IF ANGLE B AND ANGLE Q ARE 90 DEGREES, ANGLE A + ANGLE C = ANGLE P + ANGLE R
WE HAVE ALREADY PROVED THAT AC = PR
If two triangles have one angle equal to one angle, two sides adjoining the equal angles equal, namely, one side adjoining the equal angles, and one opposite the equal angles, and the remaining angles either both less or both not less than a right angle, then the remaining side equals the remaining side and the remaining angles equal the remaining angles.
SO ANGLE A = ANGLE P
THEREFORE BY ASA CONGRUENCY TRIANGLE ABC IS CONGRUENT TO TRIANGLE PQR
HOPE IT HELPS YOU......
(IF I HAVE MADE ANY MISTAKES PLS COMMENT BELOW)
A landscape-supply company sells mulch at a rate of $30 per cubic yard. What price does the company charge for 54 cubic feet of mulch? (1 yard = 3 feet.
$54
$60
$810
$1,620
Answers
Answer:
$60
Step-by-step explanation:
The details given the in the question are;
The rate at which the landscape-supply company sells each cubic yard of mulch = $30 per cubic yard
The price the company charges for 54 cubic feet of mulch = Required
The factor for converting yard to feet is 1 yard = 3 feet
Therefore;
1 cubic yard = 1 yard × 1 yard × 1 yard = 3 feet × 3 feet × 3 feet = 27 cubic feet
∴ 2 cubic yard = 2 × 1 cubic yard = 2 × 27 cubic feet = 54 cubic feet
1 cubic yard = $30
∴ 2 cubic yard = 54 cubic feet = 2 × $30 = $60
Solve for ż in the following equation: 1 - iz=-1 +iz (where i? = -1). Simplify your answer as much as possible.
Answers
Answer:
z = -i
Step-by-step explanation:
1 - iz=-1 +iz
Add iz to each side
1 - iz+iz=-1 +iz+iz
1 = -1 +2iz
Add 1 to each side
1+1 = -1+1 +2iz
2 = 2iz
Divide by 2
2/2 = 2iz/2
1 =iz
Divide by i
1/i = iz/i
1/i =z
Multiply the left by i/i
i/i^2 = z
i/-1 =z
-i =z
Find side b, in triangle ABC. if angle B =42 degrees, a=6, c=4
Answers
Answer:
There is no valid value for b
Step-by-step explanation:
We solve the above question using the law of cosines
b² = a² + c² - 2ac × Cos B
B = 42°, a = 6, c = 4
b² = 6² + 4² - 2 × 6 × 4 × Cos 42
b =√6² + 4² - 2 × 6 × 4 × Cos 42
b = √36 + 16 - 48 × Cos 42
Solving the above question, there is no valid value for b
Use the Factor Theorem to prove x^3 - 13x - 12 is divisible by x^2 – X – 12
Answers
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]x^3-13x-12\text{ is divisible by } x^2-x-12[/tex]
We can factor the divisor:
[tex]x^2-x-12=(x-4)(x+3)[/tex]
According to the Factor Theorem, if we have a polynomial P(x) divided by a binomial in the form of (x - a) and if P(a) = 0, then the binomial is a factor of P(x).
Our two binomial factors our (x - 4) and (x + 3). Thus, a = 4 and a = -3.
Evaluate the polynomial for both of these factors:
[tex]P(4)=(4)^3-13(4)-12=0[/tex]
And:
[tex]P(-3)=(-3)^3-13(-3)-12=0[/tex]
Since both yielded zero, the original polynomial is divisible by both (x - 4) and (x + 3) or x² - x - 12. Hence:
[tex]x^3-13x-12\text{ is indeed divisible by } x^2-x-12[/tex]
PLEASE HELPPPPPP!! I need to find x!!!!
Answers
Here
[tex]\\ \sf\longmapsto \frac{7}{x} = \frac{15}{10} \\ \\ \sf\longmapsto 7 \times 10 = 15x \\ \\ \sf\longmapsto 15x = 70 \\ \\ \sf\longmapsto x = \frac{70}{15} \\ \\ \sf\longmapsto \boxed{ \sf x = 4.6cm}[/tex]
Answer:
i can help you i know this answer
What is the probability of rolling 2 standard dice which sum to 9?
Answers
Explanation: Tbh I can’t explain how my brain just clicks sometimes
Suppose △ABC≅△LMN.
Which other congruency statements are correct?
Select each correct answer.
△BAC≅△MLN
△BCA≅△NML
△ACB≅△LNM
△CBA≅△M
Answers
if so then let's say just want to try am new MNL
solve -5 < 2x+3 >= 7
Answers
Answer:
Step-by-step explanation:
so just solve this as if it's
-5= 2x+3
and
2x+3 = 7 ( be careful not to switch sides or the arrow switches too)
the the top equation looks like
-8=2x
-8/2 = x
-4 =x
the bottom equation looks like
2x = 4
x = 4/2
x = 2
now put it back together with the arrows in the same direction :) ( we don't have to worry about switching directions of the arrows b/c we didn't switch side, multiply or divide by a negative, so all good :P)
-4<x<=2
Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
hs-6, k=-30
Someone please help me with this I can’t fail this test !
Answers
ITS D!!! h = -6 k = -30
The equation of a vertical parabola in vertex form is equal to
f(x)= a(xh)² + k
where
a is a coefficient
(h,k) is the vertex
we have
f)x) = x² + 12x + 6
Convert to vertex form
Complete the square
f)x) 6= x² + 12x
f)x) - 6+36= (x² + 12x +36)
f)x)+ 30 = (x² + 12x +36) -
f)x)+30= (x+6)²
f)x) = (x+6)² – 30. -----> equation in vertex form
therefore
The vertex is the point (-6,-30)
h=-6, k=-30
if sectheta=13/12 and 270°<theta<360°, then tantheta=
Answers
Answer:
this should be 450° hahah sorry if I am wrong I don't know!
HELP ME PLEASE
23. Two swimmers are training over a two-week period to increase the number of laps each can do consecutively. Swimmer A can do 14 laps to start, and increase her total by 3 laps each day. Swimmer B is charting her progress in the table below. Compare the initial values for each.
Answers
Answer:
Answer is A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.
on day 3 swimmer B has 17 (shown on chart)
on day 3 swimmer A has 23 (14, 17, 20, 23)
if you would want it to complicate it 14:3 and 11:2
14 ÷ 14 is 1
3 ÷ 14 is .214
11 ÷ 11 is 1
2 ÷ 11 is .181
The relationship between degrees Fahrenheit (F) and degrees Celcius (C) is given by the formula straight F space equals space 9 over 5 space C space plus space 32. What is the Celcius temperature when the Fahrenheit temperature is 41? Round answer to the nearest whole number. 55 5 -9 41 16
Answers
Answer:
[tex]C = 5[/tex]
Step-by-step explanation:
Given
[tex]F = \frac{9}{5}C + 32[/tex]
Required
Find C when [tex]F = 41[/tex]
We have:
[tex]F = \frac{9}{5}C + 32[/tex]
Substitute 41 for F
[tex]41 = \frac{9}{5}C + 32[/tex]
Collect like terms
[tex]\frac{9}{5}C = 41- 32[/tex]
[tex]\frac{9}{5}C = 9[/tex]
Multiply both sides by 5/9
[tex]C = 9 * \frac{5}{9}[/tex]
[tex]C = 5[/tex]
Which of the following is not a real number?
Answers
Answer:
D
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
what is the equation of the following line (1,5) and (-1,-5) written in slope-intercept form
Answers
Answer: y = 5x
Step by step process: Use the slope form and then substitute in the equation y = mx + b.
please help me! asap!!
Answers
Answer:
C
Step-by-step explanation:
Place the expressions that are equivalent under the corresponding expression in the table.
20
130
3
8.12
- 1)
2:2
12-1
21=-11 # 1 - 2
1212
II + 3)
472
I + 3 2(1 - 1)
-1 2:2
3(12 - 1)
32 – 23 – 3+.
Answers
Answer:
Step-by-step explanation:20
20 130 3 8.12 - 1) 2:2 12-1 21=-11 # 1 - 2 1212 II + 3) 472 I + 3 2(1 - 1) -1 2:2 3(12 - 1) 32 – 23– 3+.
What is the value of expression below when z=5? 5z−4
Answers
Answer:
21
Step-by-step explanation:
5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4
Answer:
21
Step-by-step explanation:
5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4
