WGiven the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9

Answers

Answer 1

Answer:

x = 24, x = -16

Step-by-step explanation:

Given the function f(x) = 0.5|x – 4| – 3, we are to find the values of x for f(x) = 7

Substitute f(x) = 7 into the expression;

7 = 0.5|x – 4| – 3

For the positive function

7 = 0.5(x – 4) – 3

7 = 0.5x - 2 - 3

7 = 0.5x - 5

7+5 = 0.5x

12 = 0.5x

12 = x/2

Swap

x/2 = 12

x = 12 * 2

x = 24

For the negative function

7 = 0.5-(x – 4) – 3

7 = 0.5(-x +4) - 3

7 = -0.5x +2 - 3

7 = -0.5x - 1

7+1 = -0.5x

8 = -x/2

Swap

-x/2 = 8

-x = 8 * 2

-x = 16

x = -16

Hence the required values of x are -16 and 24


Related Questions

En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, ¿cuántos vasos sirvieron?

Answers

Answer:

36

Step-by-step explanation:

6 x 6

Of the statistical processes we have covered throughout this course, which would be most helpful to determine if study hours and sleep could help estimate a student's test score?

Answers

Answer:

Pearson correlation coefficient

Explanation:

The Pearson correlation coefficient, also simply called correlation coefficient measures the linear correlation between two sets of data/variables, independent variables and dependent variable. A correlation coefficient may only be between -1 and 1 where +1 denotes a perfect positive correlation between variables(both variables increase together), 0 is no correlation, and -1 is perfect negative correlation between variables(one decreases while other increases).

Using the graph, determine the value of the slope.
v
CO 3
What is the slope?
4
2
What is true about the graph?
4
-2
-2
Intro
Done

Answers

Answer:

gradient of horizontal slope is 0

a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.

Answers

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]

taking positive

t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]

t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]

So

t=4.15seconds closer to 4seconds.So

Max is closer.

Answer mah questions Pleaseeee

Answers

Answer:

c

Step-by-step explanation:

Answer: median

I say this as the mean would be too off due to the one outlier (it's best used when there are multiple outliers), and the range wouldn't make sense as a mid-measurement.

Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.

Answers

Answer:

<1

Step-by-step explanation:

Amelia is taking a road trip. She drove 250 miles the first day. If 250 is 40% of her total distance, how many miles is her roadtrip in all?

Answers

Answer: 625 miles

Step-by-step explanation:

100-40=60

so she has 60% for her distance so lets munis 40 from it and add 250 to 250

250+250=500

60-40=20

20 is half of 40 so whats half of 250? its 125

so she drove 625 miles for her road trip 2 and 1/2 a day

URGENT PLEASE HELP: Simplify

Answers

Answer:

cot (x)

Step-by-step explanation:

cot x

---------------

cos x  sec x

We know that sec = 1/ cos

cot x

---------------

cos x  1/ cos x

cot x

---------------

1

cot (x)

Answer:

You're clicking on the correct answer, it's cot with that symbol, I dont have the symbol.

Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart

Answers

Answer:

1200cm

Step-by-step explanation:

Given data

We know that 1meter is equivalent to 100cm

i,.e 1*100

so, if height is 1.2meters

Height in centimeters is 1.2*100

Hence height in centimeters is 1200cm

please help me and thank you.

Answers

Answer:

[tex]482.5\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.

Area of the rectangle: [tex]25\cdot 20=500\:\mathrm{in^2}[/tex]

Area of the triangle: [tex]\frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}[/tex]

Thus, the area of the figure is [tex]500-17.5=\boxed{482.5\:\mathrm{in^2}}[/tex]

It’s the last one 482.5

Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.

A. -12/5
B. -4
C. 4

Answers

Answer:

C. 4 is the right answer!

Step-by-step explanation:

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

14

Step-by-step explanation:

AB = 10+( 10/15 × 6)

= 10 + 4= 14

Write the equation of the line that passes through the points:
(-4,-4) and (8,-7)

Answers

Y=Mx+c

Mx is slope = y2-y1/x2-x1 = -7+4/8+4= -3/12= -1/4

Now replace one of the points to find C or y-intercept

-4=-1/4(-4)+c

-4-1=c
C=-5

Final answer =

Y= -1/4x-5

I hope you brainliest my answer cause I tried my best so enjoy !!

Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?

Answers

Answer:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]

Step-by-step explanation:

The question is poorly formatted. The original question is:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]

We have:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]

Open bracket

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

Express 8 as 2^3

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

Express 2^3 as 8

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}[/tex]

Expand each exponent

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}[/tex]

Split

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}[/tex]

Factorize

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]

Answer:

42x^2 ^3 square root 3x

Step-by-step explanation:

i got it right

Could someone please help me please ASAP?

Answers

C I think it is c because it is literally like doubling it but I’m not 100% sure but good luck and have a good day

Aarion is saving $375 to buy a new gaming system. He already has $105 and can earn $30 per week cutting grass, how long will it take him to earn the rest of what he needs?

Answers

Answer:

it will take him 9 weeks to earn the rest of what he needs.

Step-by-step explanation:

if he already has $105, then he will need $270 more.

Divide 270 by 30(the amount of money he gets each week) and you will get 9.

what’s the product? (3x-6) (2x^2-7+1)

Answers

Answer:

0

Step-by-step explanation:

because the carrot is wrong

Answer:

Assuming you are using the zero product property, x = 2, √(3), -√(3)

Step-by-step explanation:

first I factored the (2x^2-7+1) into 2(x^2 - 3)

I also factored the (3x-6) into 3(x - 2)

Now I have the equation 6(x - 2)(x^2 - 3) = 0

I'll start with the easiest one, which is x - 2 = 0, which gives me 2

Now I solve for x^2 - 3 = 0, and I end up with two answers:

√(3) and -√(3)

So in total, x as 3 answers

In the diagram of right triangle ABC, AB = 4 and BC = 7.
What is AC, to the nearest hundredth?
1
5.74
2
5.75
3
8.06
8.08

Answers

Answer:

5.74

Step-by-step explanation:

The value of AC in the given right triangle is 5.74 units.

What is Pythagoras theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) - a² + b² = c².

Given that, the right triangle ABC, AB = 4 and BC = 7.

According to Pythagoras theorem,

AC² = AB²+BC²

AC² = 7²+4²

AC = √33 = 5.74

Hence, The value of AC in the given right triangle is 5.74 units.

For more references on Pythagoras theorem, click;

https://brainly.com/question/343682

#SPJ2

Laura has a set of 16 books. Each book in the set weighs the same. One book has a weight of 0.8 kilograms (kg). Laura wants to find the total weight, w, of the set of books.Which equation and solution shows the total weight of the set of books A.
w=16×0.8w=12.8 kg, B.w=16−0.8w=15.2 kg
c.w=16+0.8w=16.8 kg D.w=16÷0.8w=20.0 kg

Answers

b will be ur answer bc the weight of set of books

¿Cómo expresarías la siguiente cantidad 1149,8x1018, en su equivalencia a notación científica?

Answers

Respuesta:
hay tres respuesta creo en el problema te los dire los tres:
Primero tu pregunta:
Cómo corregirías esta equivalencia?
1149,8 x 10¹⁸ = 1,15 x 10¹⁸
Recordemos:
-en la notacion cientifica no se aproxima, solo se reduce
-Requisito: La notacion cientifica debe estar dentro de los estandares de 1-10
sabiendo esp te dare un ejemplo y asi se te hace mas faci:
1149,8 x 10¹⁸ = 1,15 x 10¹⁸ esta es mal
1149,8 x 10¹⁸ = 114,98 x 10¹⁸ + 1 ( esto se suma xq se movio la coma a la derecha)
PSDT: esta sumando el exponente ese pequeño(yo no puedo ponerlo pequeño xd)
Bueno segun esto avanzamos hasta que cumpla el requisito
y quedaria asi:
1149,8 x 10¹⁸ esta es la forma mala
asi quedaria: 1,1498 x 10 sobre 21 ( arribita del 10 va 21)
Que procedimientos ayudaron a encontrar la respuesta?
-la multiplicacion y division
-la reduccion de numeros
-la notacion cientifica
- la formula del volumen
Porque el volumen se expresa en unidades cubicas?
porque segun se el evolumen abarca 3 dimenciones (largo, ancho y altura) y tiene que haber unamedida por lo cual se expresa en Metro cubico que
Explicación paso a paso:

I don’t know how to do this can someone help out

Answers

Answer:

Third side = 4

Step-by-step explanation:

Use Pythagoras theorem :

C = longer side, a = 10, b ?

[tex]c^2 = a^2 + b^2[/tex]

[tex](2 \sqrt{29})^2 = 10^2 + b^2\\\\4 \times 29 = 100 + b^2\\\\116 - 100 = b^2\\\\b^2 = 16 \\\\b = 4[/tex]

"Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal." pls help lol

Answers

Answer:

Ive seen this question before, its supposed to be 3 blancckets and 15 days can be skipped

Step-by-step explanation:

60-45= 15

15 times 3 is 45

Hey, I need help for this question, not sure what it is. Please respond quickly!

Use the diagram and given information to answer the questions and prove the statement.

Given: Angle X ≅ Angle Z
XY ≅ ZY
Prove: AZ ≅ BX

Prove AZ ≅ BX using a flow chart proof.

Answers

Answer:

my answer is in this picture. sorry about my handwriting and my presentation because i am a Asian student and cant show better presentation

HELP THIS IS DUE TODAY I WILL NAME YOU THE BRAILIEST!!!!!!!
Determine the equation of the circle graphed below.

Answers

Answer:

[tex](x-4)^2+(y+3)^2=20[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].

What we know:

Center at [tex](4,-3)[/tex]

To find the radius, we can use the distance formula. For points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

Let

[tex](x_1,y_1)\implies (-4, -3),\\(x_2,y_2)\implies (8,-1)[/tex]

[tex]r=\sqrt{(8-4)^2+(-1-(-3))^2},\\r=\sqrt{4^2+2^2},\\r=\sqrt{20}=2\sqrt{5}[/tex]

Thus, the equation of this circle is

[tex](x-4)^2+(y-(-3))^2=\sqrt{20}^2,\\\boxed{(x-4)^2+(y+3)^2=20}[/tex]

Solve by elimination
-6x+y= -2
-3x-6y= 12

Answers

Answer:

Ans: x=0

       y= -2

Step-by-step explanation:

-6x+y= -2--------- (1) × 6

-3x-6y= 12--------(2) × 1

-36x+6y= -12-----(3)

-3x-6y= 12--------(2)

(3)+(2)

-36x+6y+(-3x-6y) = -12+12

⇒ -36x+6y-3x-6y = 0

⇒ -36x-3x = 0

⇒ -39x=0

⇒ x= 0/-39

∴ x = 0

Substitute x = 0 into (1)

-6x+y= -2

⇒-6(0)+y= -2

⇒0+y= -2

∴y = -2

Ans: x = 0

       y = -2

Check:

-6x+y= -2--------- (1)

= -6(0)+(-2)

= 0 - 2

= -2 ✔

-3x-6y= 12--------(2)

= -3(0)-6(-2)

= 0+12

= 12 ✔

The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there

Answers

Answer:

18

Step-by-step explanation:

Calculation to determine how many coloured paper are there

Let 3x represent the number of coloured papers

Let 8x represent the number of white papers

Given that 8x=48

Hence,

x=48/8

x=6

Now let determine how many coloured paper are there

Coloured paper=3x

Coloured paper=3(6)

Coloured paper=18

Thereffore the number of coloured paper that are there is 18


Find the surface area and no links

Answers

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What’s the answer. Please help.

Answers

3x - 2 = 18

I think so because I usually take that as my equation

Answer:

The answer would be the third one, 3(x -2)=18

Use elimination to solve the system of equations:

3x + y = 10
- 4x - 2y = 2

Work:

Answers

4
x
+
y

2
z
=
0
4
x
+
y
-
2
z
=
0
,
2
x

3
y
+
3
z
=
9
2
x
-
3
y
+
3
z
=
9
,

6
x

2
y
+
z
=
0
-
6
x
-
2
y
+
z
=
0
x
+
2
y
=
4
x
+
2
y
=
4
,
2
x
+
4
y
=
8
2
x
+
4
y
=
8
3
x
+
y
=
4
3
x
+
y
=
4
,
6
x

7
y
=
2

Of the 25 students who take a standardized test, the minimum score is 98 and the maximum score is 312. The mean score is 216. Standard deviation is 52. What is the number of standard deviations that includes all the data values?

Answers

Answer:

5

Step-by-step explanation:

so we can say that 5 standard deviations include all the data values.

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