Irene made a mistake when she solved this inequality:

Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x < -1

Between which two consecutive steps did Irene make a mistake?

Answers

Answer 1

Answer:

she messed up on step two because she has to subtract 10 from both sides

Step-by-step explanation:

step 1: -6(x+3)+10<-2

step2:-6(x+3)+10-10<-2-10

step3: -6(x+3)<-12

step4: (-6)(x+3)(-1)≥(-12)(-1)

step5:6(x+3)>12

step6:divide both sides by 6

step7:simplify and subtract 3 from both sides and then simplify again


Related Questions

convert 0.25151 to a fraction

Answers

Answer:

25151/100000

Step-by-step explanation:

Write an algebraic expression for each word phase 9 less than x 6 minus f t multiplied by 6 one half of a number n

Answers

Answer:

9 < x

6 - f

t × 6

1/2n

Step-by-step explanation:

Given expressions:

9 less than x

Less than (<)

9 less than x = 9 < x

6 minus f

Minus (-)

= 6 - f

t multiplied by 6

Multiplication (×)

= t × 6

one half of a number n

One half = 1/2

one half of a number n

= 1/2 × n

= 1/2n

= n/2

Find the measurement of ∠D and ∠C

Answers

Answer:

∠D = 125° and ∠C = 55°

Step-by-step explanation:

We should first solve for variable x, which should give us angle C, and then solve for angle D.

[tex]3x+15=180[/tex][tex]3x=165[/tex][tex]x=55[/tex]°

Thus ∠C = 55°

Knowing that supplementary angles add to 180°, we set up the equation:

[tex]55+D=180[/tex][tex]D=125[/tex]°

Thus ∠D = 125°

Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121

Answers

Answer:

La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:

(x - a)^2 + (x - b)^2 = R^2

Entonces si miramos a nuestra ecuación:

(x + 2)^2 + (y - 3)^2 = 121

Tendremos el centro en:

(-2, 3)

el radio está dado por:

R^2 = 121

R = √121 = 11

La gráfica de esta circunferencia se puede ver en la imagen de abajo.

Please help me out here

Answers

Answer:

vbw-kafw-hxy p.l.e.a.s.e join

Answer:

146 cm²

Step-by-step explanation:

The net is composed of 3 sets of congruent rectangles

top/ bottom + front/ back + sides

SA = 2(9 × 5) + 2(9 × 2) + 2(5 × 2)

     = 2(45) + 2(18) + 2(10)

     = 90 + 36 + 20

     = 146 cm²

4x+7=15x-1-3x
Solve for x plss

Answers

Answer: x=1

Step-by-step explanation:

4x-12x=-1-7

-8x=-8

Hey there I need some assistance need on this problem. What do I mean by checkpoints and how am I supposed to find the y-intercept and the slope from the given values?​

Answers

Slope Formula: y2 - y1 / x2 - x1

(m and slope represent the same quantity)

m = 1 - - 5 / -4 - 0

m = 1 + 5 / -4

m = 6 / -4

m = -3/2

Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).

y = -3/2x + b

1 = -3/2(-4) + b

1 = 6 + b

b = -5

In point form, the y-intercept is (0, -5).

Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.

Equation: y = -3/2 x - 5

To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.

-14 = -3/2(-6) - 5

-14 = 9 - 5

-14 = 4

-14 does not equal 4, therefore the point is NOT on the line.

Hope this helps!

The sketch shows two parallel lines cut by a transversal. Which set of angle pairs are NOT corresponding angles? 2 parallel lines cut by a transversal. The angles formed with the first line, starting at the top left space and going clockwise are: 1, 2, 4, 3. The angles formed with the second line are 5, 6, 8, 7.

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Please find the graph file in the attachment.

In this question, the Alternate Interior Angles are being used by the angles created mostly by the intersecting intersection of two parallel or non-parallel lines. Its angles were located at the upper lid and lay opposite to a cross-section. Its angles are diagonal throughout the transverse and inside the parallel lines. Angles <3 and <6 are hence interiors which are alternating. Alternative insides are <4 and <5.

8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4

Answers

Hello,

If center is (0,0)

x²/a²+y²/b²=1 for a half horizontal axis of a, and a half vertical axis of b

Here

a=2 ==> a²=4

b=8 ==> b²=64

[tex]\boxed{\dfrac{x^2}{4}+ \dfrac{y^2}{64}=1}\\[/tex]

What is the answer to this question

Answers

your answer would be C
if triangle efg is equal to hjk then it will still be equal the opposite way. The symmetric property tells us that both sides of the equal sign are equal no matter what side they are on.

For some integer m, every odd integer is of the form a) m b) m + 1 c) 2m d) 2m + 1

Answers

Answer:

d) 2m+1

Step-by-step explanation:

for example:

m be 2 then. 2×2+1=5

m be 3 then. 2×3+1=7

Write a expression to represent each situation

Olivia bought 8 bags of fruit at the farmer's market. She put
a apples and b bananas in each bag.

Answers

Step-by-step explanation:

number of bags=8bags

which is the fruits=apples and bananas

total number of apples and bananas bag = 4 bag of each

a + b = 8

a is apples and b is bananas.
the total number of bags of fruit is 8

Please decide !!!!!!

Answers

A + B + C = 13

Starting from the top and going horizontally the missing numbers are:
18, 3, 1, 9, 7, 6, 2, 8, 16, 4, 15, 10

The sum of 1+2+3+...+18+19 = 190
There are 5 vertical lines (3,4,5,4,3 in each) so each line has to add to 190 / 5 = 38

identify the unit rate shown in the graph
Choices:
A. 1/3 mile per hour
B. 3 hours per mile
C. 3 miles per hour
D. 4 miles per hour

Answers

The answer is C or 3 miles per hour

how is it 3?:

there is a point at 6 and another at 3 all we do is 6 - 3 = 3

Solve for x: 5x - 3 = 10

Answers

Answer:

5x - 3 = 10

5x = 13

x = 13 / 5

x = 2.6

Step-by-step explanation:

Solving for x:-

<> 5x = 10 + 3

<> 5x = 13

<> 5x ÷ 5 = 13 ÷ 5

<> x = 2.6

Math the following measurements

Answers

Answer:

UI=45

AQ=115

QZI=175

QYU=65

Can someone please help with this problem

Answers

Answer:

f(x)=-3(x+2)^2-2

Step-by-step explanation: the the FX graph the -3 in my equation represents the decrease(for being negative) in the graph, the positive 2 represents the x axis if that number is positive the negative 3 is going to change the x axis then will end up being negative which is why the x starts off in negative 2, the last number represents the y axis if the y axis is negative 2 the y will start off at -2

Fill in the missing numbers.
0, 1, 5 ,4 ,...., 12 ,.....​

Answers

Answer:

the answer is 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14, etc........

0,1,2,3.... is a whole number

1,2,3,4.......is a natural number

so I have 40 dollars and i am buying 10$ gift card so how many 10$ gifts cards can I buy?​

Answers

Answer:

4 gift card

Step-by-step explanation:

40 dollar /gift card price 10

=4

Answer:

4 dollar gift card

Step-by-step explanation:

40÷10=4

4 dollar gift card

Solve the equation and enter the value of x below. 5 + 10(x-10) = -15​

Answers

Answer: x = 9.

Step-by-step explanation: Plug in 9 as x.

5+10(9-10) = -15

= 15(-1)

= -15

Hence, x = 9.

Which table represents a linear function that has a slope of 5 and a y-intercept of 20?

Answers

Answer:

[tex]y = 5x + 20[/tex]

Step-by-step explanation:

Given

[tex]m = 5[/tex] -- slope

[tex]c = 20[/tex] --- y intercept

Required

The table

No options are given. So, I will just work on the equation.

The linear equation of a function from the slope and the y intercept is:

[tex]y = mx + c\\[/tex]

Substitute values for m and c

[tex]y = 5x + 20[/tex]

help and I'll follow you ​

Answers

Answer:

12 nickels and 9 dimes

Step-by-step explanation:

1/ We have: n + d = 21 <=> d = 21 - n or opposite (n = 21 - d)

2/ We have: 0.05n + 0.10d = 1.50 and then we will put 1/ into 2/

=> 0.05n + 0.10(21 - n) = 1.50

=> 0.05n + 2.1 - 0.1n = 1.5

=> -0.05n = -0.6

=> n = 12

Nevertheless, d = 21 - n = 21 - 12 = 9

The purpose of a Chi-Square test is to examine the relationship between an explanatory categorical variable and a response quantitative variable examine relationships between two quantitative variables. examine relationships between two categorical variables. examine the relationship between an explanatory quantitative variable and a response categorical variable None of the above are true

Answers

Answer:

b). Examine relationships between two categorical variables

Step-by-step explanation:

The chi-square test of independence is used to determine if there is a significant relationship between 2 Categorical variables. In the data set-up for the Chi-Square Test of Independence, at minimum, your data should include two categorical variables and each categorical variable must include at least two groups.

Which of the following expressions is equal to - x^2 - 36 ?
O A. (-x-6)(x-61)
B. (x +61)(x-6)
C. (-x+6)(x-61)
D. (-X-61)(x+61)

Answers

Answer:

I think the answer is option C


At her gym, Ximena spends 30 minutes on each
aerobic workout and 20 minutes on each
weight-lifting workout. Last week, Ximena spent
between 190 and 230
minutes, inclusive, on 3 aerobic
workouts and w weight-lifting workouts. What is
one possible value of w?

Answers

Answer:

28o

Step-by-step explanation:

If f(x)=3x^(2)+1 and G(x)=2x-3 what would f(f(x))

Answers

Answer:

f(f(x)) = 27[tex]x^{4}[/tex] + 18x² + 4

Step-by-step explanation:

To find f(f(x)) substitute x = f(x) into f(x) , that is

f(3x² + 1)

= 3(3x² + 1)² + 1 ← expand parenthesis using FOIL

= 3(9[tex]x^{4}[/tex] + 6x² + 1) + 1 ← distribute parenthesis by 3

= 27[tex]x^{4}[/tex] + 18x² + 3 + 1 ← collect like terms

= 27[tex]x^{4}[/tex] + 18x² + 4

Hello,

[tex](fof)(x)=f(f(x))\\\\=3(3x^2+1)^2+1\\\\=3(9x^4+6x^2+1)+1\\\\\boxed{=27x^4+18x^2+4}[/tex]

If AABC IS REFLECTED across the y axis what are the coordinates of A

Answers

Answer:

A. (-1, 3)

Step-by-step explanation:

When reflecting across the y-axis: (x, y) ⇒ (-x, y).

Therefore, A(1, 3) ⇒ A'(-1, 3).

In the diagram below, OP is circumscribed about quadrilateral ABCD. what is the value of x?

Answers

Answer:  B) 50 degrees

This is because the opposite angles of any inscribed quadrilateral (aka cyclic quadrilateral) are always supplementary. So x+130 = 180 solves to x = 50.

If OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.

What is Quadrilateral?

A quadrilateral is a four-sided polygon, having four edges and four corners.

A quadrilateral is inscribed insider a circle with centre p.

ABCD is a quadrilateral

We have to find the value of x.

As we know that the sum of the opposite side measures is 180 degrees.

m∠A + m∠C = 180

x + 130 =180

Subtract 130 from both sides

x = 180-130

x= 50 degrees.

Hence, if OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.

To learn more on Quadrilateral click:

https://brainly.com/question/29934440

#SPJ7

Which of the following is an even function?

Answers

The one you put is actually correct

Finish solving the system of equations.

x – 5y = 6

–x + 2y = –3

–3y = 3

What is the value of y?


Substitute the value of y back into one of the original equations to find the value of x. What is the value of x?

Answers

Answers:  x = 1 and y = -1

Explanation:

Start where your teacher left off, which is -3y = 3.

We solve for y by dividing both sides by -3

That turns -3y = 3 into y = -1

Then we use this y value to find x

x - 5y = 6

x - 5(-1) = 6

x + 5 = 6

x = 6-5

x = 1

The solution is (x,y) = (1, -1)

Answer:

-1,1

Step-by-step explanation:

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