Answer:
C
Step-by-step explanation:
Given
| 6x - 5 | = 7
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
6x - 5 = 7 ( add 5 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
OR
- (6x - 5) = 7 ← distribute parenthesis on left side by - 1
- 6x + 5 = 7 ( subtract 5 from both sides )
- 6x = 2 ( divide both sides by - 6 )
x = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]
Then solutions are x = 2, x = - [tex]\frac{1}{3}[/tex] → C
What is point b on the coordinate plane?
Answer:
its (1,-3) if you got it wrong just let me know :3
Maria is planning a road trip of 900 miles her car get 30 miles per gallon, and gas cost $3.50 per gallon how much should she budget for the trip
Answer:
Maria should budget $105 for the trip.
Step-by-step explanation:
First divide every 30 miles she is going doing for the trip.
900 divided by 30 = 30
So she will need 30 gallons to drive 900 miles.
30 x 3.50 = 105.
105 is how much she will pay for the gas.
How can you determine whether a linear binomial is a factor of a polynomial without using the remainder theorem?
A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial
How to determine the factor?Assume a polynomial function is
P(x) = (x - 3)(x + 1)(x -2)
And a linear binomial is:
x - 3 = 0
We start by calculating the value of x in x - 3 = 0
x = 3
Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)
P(3) = (3 - 3)(3 + 1)(3 -2)
Evaluate
P(3) = 0
Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)
Read more about remainder theorem at:
https://brainly.com/question/13328536
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Prove that the following four points will form a rectangle when connected in order
by showing the diagonals are congruent. Show all work.
A(0, -3), B(-4, 0), C(2,8), D(6.5)
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between A(0, -3) and C(2, 8),
AC = [tex]\sqrt{(8+3)^2+(2-0)^2}[/tex]
= [tex]\sqrt{125}[/tex]
= [tex]5\sqrt{5}[/tex]
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = [tex]\sqrt{(5-0)^2+(6+4)^2}[/tex]
= [tex]\sqrt{125}[/tex]
= [tex]5\sqrt{5}[/tex]
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
CAN SOMEONE HELP ME I HAVE LIKE LESS THAN 15 MINUTES TO FINISH
Experimental probability of the name Alex being drawn is 4/10
This is because out of the ten times a name was drawn, Alex was drawn four times.
If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.
This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.
Please someone help me if you can't that is okay but please try I am extremely desperate
Answer:
A
Step-by-step explanation:
2x + x = 3x
y - 3y = 2y
Without graphing, what can you say about the points (2.5, 1) and (6, 1) on the coordinate plane?
Answer:
hope this helps
Step-by-step explanation:
-they do not have the same slope
-their lines are not parallel
there's probably more but i cant quite think of it as of now
ctividad 1:
Las edades de un grupo de niños son: 5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Determina las Medidas de Centralización (Media, Mediana y Moda) y las medidas de Dispersión (Desviación media y Desviación estándar).
necesito ayuda
Respuesta:
Media = 6
Mediana = 6
Modo = 6
Desviación media = 1
Desviación estándar = 1.317
Explicación paso a paso:
Dados los datos:
5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8
La media: Σx / n = 96/16 = 6
El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)
La mediana = 1/2 (n + 1) ésimo término
Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6
La desviación media = Σ (x - media) / n
Usando la calculadora, la desviación media = 1
La desviación estándar = √ (Σ (x - media) ² / n-1)
Desviación estándar = 1.317
What is the product?
(x − 3)(2x2 − 5x + 1)
Answer:
5x2+20x−15
Step-by-step explanation:
How do you solve for x in this using trignometric ratios
Answer:
[tex]x= 23.775.[/tex]
Step-by-step explanation:
[tex]\text{We have} \\\cos(18\textdegree) = \frac{x}{25} \\\Rightarrow x= 25\cos(18\textdegree)\\\Rightarrow x= 25 \times 0.951\\\Rightarrow x= 23.775.[/tex]
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. *
Answer:
please give me brainliest for quest
Step-by-step explanation:
Just need some help please
Answer:
It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.
there are four consecutive even numbers. The second number is represented by x. find the sum of four numbers in term of x
Answer:
Sum of the four numbers in terms of x would be 4x+4
Step-by-step explanation:
x-2 + x + x+2 + x+4 = sum
4x+4 = sum
Can someone explain the answer to 7.1x10^-3 ?
Answer:
[tex]{ \tt{7.1 \times {10}^{ - 3} }} \\ { \bf{negative \: means \: { \green{increase \: in \: decimal \: places}}}} \\ = { \tt{0.71 \times {10}^{ - 2} }} \\ = { \tt{0.071 \times {10}^{ - 1} }} \\ = { \tt{0.0071 \times {10}^{0} }} \\ { \boxed{ but \: {10}^{0} = 1}} \\ \therefore{ \tt{ = 0.0071 \times 1 = 0.0071}}[/tex]
NO LINK PLEASE. OR I WILL REPORT YOU.
Answer:
x = 80
Step-by-step explanation:
Both angles together form 180, therefore x is 80
Answer:
x = 80
Step-by-step explanation:
100 and x form a straight line so they add to 180
x+100 =180
Subtract 100 from each side
x = 180-100
x = 80
PLEASE HELPP
1/4, 1/2, 1, 2 converging or diverging
Answer:
diverging
Step-by-step explanation:
A regular way to know if a series is converging or diverging, is to check is as the number of terms increase, the value of such terms also increase.
So, if for example, we have:
[tex]A_n > A_{n-1}[/tex]
We know that the series will not converge, because eventually the terms will be very large, and the series will diverge.
In this case we have the series:
1/4, 1/2, 1, 2
So each term is two times the previous one, thus, the n-th term will be larger than the n-th minus one term, so we can conclude that this series diverges.
Pls I need help with this
Answer:
the missing side is 6
Step-by-step explanation:
Using the Pythagorean theorem, ([tex]a^{2} + b^{2} = c^{2}[/tex]), for right triangles, you get [tex]4^{2} + (2\sqrt{5}) ^{2} = c^{2}[/tex]. Since the square cancels the square root for side b you get [tex](2^{2})*(5)[/tex] which equals 20. This makes your equation go to 16+20 = [tex]c^{2}[/tex]. Then add the numbers to make [tex]36=c^{2}[/tex] solve for c by taking the square root of both sides to get c = 6.
A gardening club has 21 members, of which 13 are males and the rest are females.What is the ratio of females to all club members?
Answer:
8:21
Step-by-step explanation:
The product of two numbers is 1008 and their HCF is 12. The LCM of these numbers is (a) 75 (b) 78 (c) 84 (d) 96
Answer:
(c) 84
hope this helps!!!!
number 14 and 15 pls
Step-by-step explanation:
b= 140 ( alternate angle)
k = 130 ( veetically opposite angles)
may it help ub
!!PLEASE HELP 25 POINTS!! The graph of an absolute Value
Answer:
(-1, 8)
the value of a is 8
54) Ashley and Nicole each improved their yards by planting daylilies and ornamental grass. They
bought their supplies from the same store. Ashley spent $43 on 2 daylilies and 3 bunches of
ornamental grass. Nicole spent $87 on 6 daylilies and 3 bunches of ornamental grass. Find the
cost of one daylily and the cost of one bunch of ornamental grass.
dalilar.
Answer:
Daylilies- $11, Ornamental grass- $7
Step-by-step explanation:
For this one, you want to convert this into simultaneous equations.
If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.
From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.
Dividing both sides by 4 isolates d, leaving d=$11.
We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.
From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.
**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!
All working out:
d- cost of one daylily o- cost of one bunch of ornamental grass
2d+3o=43 6d+3o=87
6d+3o=87
- - -
2d+3o=43
= = =
4d =44
÷4 ÷4
d =11
2d+3o=43
2×11+3o=43
22+3o=43
3o=21
o=7
What is -1.2 repeating as a mixed number
Answer:
[tex]-1\frac{2}{9}[/tex]
Step-by-step explanation:
_
y = - 1.2
_
y × 10 = - 1.2 × 10
_
10y = - 12. 2
_
10y = - 12. 2
- _
y = - 1.2
____________
9x = 11
9x ÷ 9 = 11 ÷ 9
[tex]x = -1\frac{2}{9}[/tex]
_
- 1.2 = - 1 2/9
If XYZ congruent to DEF the what corresponding angle is congruent to angle x (enter your answer using the angle letter only)
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
XYZ is congruent to DEF so:
X = D
Y = E
Z = F
PLEASE HELP ME! this is due TONIGHT!! thank you so much
explaining your answer = brainliest/ five stars
the area of the parallelogram is ___ square feet
Answer:
Step-by-step explanation:
here,
base=28 ft
height=24 ft
are of parallelogram=base*height
=28*24
=672 ft^2
Answer:
672 ft²
Step-by-step explanation:
Area of parallelogram is the same as the area of a rectangle.
28 × 24 = 672 ft²
Ms. Emily had a total of 428.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Emily put into each bowl?
Answer:
85.7 ounces.
Step-by-step explanation:
428.5/5 = 85.7
Therefore, Ms. Emily put 85.7 ounces of pretzels into each bowl.
Answer:
85.7 ounces
Step-by-step explanation:
428.5 ounces ÷ 5=85.7 ounces
Work out the volume of this cylinder. Give your answer rounded to the nearest whole number.
Answer:
31793 cm^3
Step-by-step explanation:
Equation
Volume = [tex]\pi[/tex] * r^2 * h
Givens
d = 2*r
d = 30
r = 15
h = 45
[tex]\pi[/tex] = 3.14
Solution
V = 3.14 * 15^2 * 45
V = 31793 rounded.
Given that cos(θ)= -√3/4 and tan(θ) > 0, find sin(θ)
Answer:
B. -√13/4
Step-by-step explanation:
cos 0 = -√3/4 => x=-√3 , h=4
tan 0 > 0
y should be on quadrant III
y= √4²-3= √16-3=√13 => -√13
so, sin 0 = y/h = -√13/4
Answer:
B. -√13/4
Step-by-step explanation:
:)
GRADE 6 MATH. 10 POINTS
NO FAKE ANSWER OR LINK
Answer:
11-
3 / 8 * 5 / 5 = 15 / 40
2 / 5 * 8 / 8 = 16 / 40
16 / 45 + 15 / 45 =
31 / 40
12-
5 / 6 * 9 /9 = 45 / 54
4 / 9 * 6 / 6 = 24 / 54
24 / 54 + 45 + 54 = 69 / 54
69 / 54 =
1 15 / 54
what is 4.3347x10^4 in standard form?
Answer:
43347
Step-by-step explanation:
just move decimal to the right 4 times.