Urgent help,

Translate the following words into equations step 2 solve the equation.

8 more than a number is equal to 15

The product of 7 and a number is 35

[tex]\large{\boxed{\sf y = \dfrac{2}{3} | x -6|- 7}}[/tex]

Absolute value of a graph formula:

Identify the vertex : (h, k) = (6, -7)

Take two points: (6, -7), (9, -5)

 [tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \ \dfrac{-5-(-7)}{9-6} \ = \ \ \dfrac{2}{3}[/tex]

Join them to build the equation:   [tex]\bf{y = \dfrac{2}{3} |x - 6| - 7}[/tex]

Answer:

[tex]g(x)=\dfrac{2}{3}|x-6|-7[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

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

Parent function:  [tex]f(x)=|x|[/tex]

[tex]f(0)=|0|=0 \implies \textsf{The vertex of the parent function is at (0, 0)}[/tex]  

From inspection of the graph, the vertex of the transformed function is at (6, -7).  Therefore, there has been a translation of:

[tex]\textsf{6 units right}\implies f(x-6) =|x-6|[/tex]

[tex]\textsf{and 7 units down}\implies f(x-6)-7=|x-6|-7[/tex]

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

[tex]\implies a\:f(x-6)-7=a|x-6|-7[/tex]

The line goes through point (0, -3)

Substituting this point into the above equation to find [tex]a[/tex]:

[tex]\implies a|0-6|-7=-3[/tex]

[tex]\implies 6a=4[/tex]

[tex]\implies a=\dfrac{2}{3}[/tex]

Therefore,

[tex]\implies g(x)=\dfrac{2}{3}|x-6|-7[/tex]

Answer: 29

Step-by-step explanation:

all triangles equal to 180

180-97-54=29

Answer:

y2 + 2y + 80

Step-by-step explanation:

Hope this helpd :) Mark brainliest?

Answer:-21

Step-by-step explanation:

-21 i think but im pretty sure

[tex]y=f(x)= \dfrac x 3 \\\\\text{Replace x with y and then solve for y,}\\\\~~~~x = \dfrac y 3\\\\\implies y = 3x \\\\\implies f^{-1}(x) =3x[/tex]

Answer:

The value of x = 22/3

Step-by-step explanation:

x + 5 - 1/3 = 12

=> x+5 = 12 + 1/3

=> x + 5 = (36 + 1) /3

=> x + 5 = 37 /3

=> (x+5) 3 = 37

=> 3x + 15 = 37

=> 3x = 37 -15

=> 3x = 22

=> x = 22/3

Answer to your question is given in the attachment

Hope this Helps :)

Answer:

  x = 70°

Step-by-step explanation:

The relevant relations are ...

__

Triangle OBQ is isosceles, so angle OQB = 40°. Triangle OPQ is isosceles, so angle OQP is x. The sum of angles OQB and OQP is angle BQP, which is supplementary to angle OPQ. That is, ...

  (40° +x) +x = 180°

  2x = 140° . . . . . . subtract 40°

  x = 70° . . . . . . divide by 2

_____

There are many ways to find x. The one shown here is just one of them. In general, right triangles, isosceles triangles, symmetry, inscribed angles can all be used to write relations involving the known angles and x.

Step-by-step explanation:

24.

AC = 12 = cos(angle) × AB = cos(angle) × 13

imagine a circle with center in A and radius 13.

that is why we can say AC = cos(angle) × radius, and BC = sin(angle) × radius.

cos(angle) = 12/13 = 0.923076923...

angle = 22.61986495...°

so, B is the right answer.

25.

we have a right-angled triangle.

from the point in the ground, where the ladder starts, to the point on the wall, where the ladder ends, and the point on the ground right under the wall point.

at this ground point there is the right angle.

at the ladder ground point we have 70°.

so, the angle at ladder/wall point is

180 - 90 - 70 = 20°.

remember, the sum of all angles in a triangle is always 180°.

the ladder itself (20 ft) is the Hypotenuse (the baseline opposite of the 90° angle).

the height of the ladder/wall point is one leg (and what we need to calculate), and the ground distance from the ladder/ground point to the point right under the ladder/wall point is the second leg.

we can use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being always opposite of the associated angles.

so, we have

20/sin(90) = 20/1 = 20 = height/sin(70)

height = 20×sin(70) = 18.79385242... ft

so, D is the right answer.

The value of x will be given as for the given expression X = -1

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

2x  +  12  =  10

2x  =  10 - 12

2x  =  -2

x    =   -1

first you distribute 2 to x and 6 which equals 2x+12=10 then you subtract 12 from 10 which equals 2x=-2 then divide -2 by 2x to see what x equals so x=-1

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Answer:

-6 [tex]\sqrt{35}[/tex]

Step-by-step explanation:

Answer:

[tex]6\sqrt{35}i[/tex]

Step-by-step explanation:

x > 3

Step-by-step explanation:

The final step in solving the inequality –2(5 – 4x) < 6x – 4 is

-6/-2 < x = 3 < x

Answer:

y= 11. 125

Step-by-step explanation:

8 y = 89

because you do not have another y on the other side simple divide

8 y = 89

89 / 8 = y

y= 11. 125

(Not sure what decimal place to round to  so there are all 3 )

Hey there!

8y = 89

DIVIDE 8 to BOTH SIDES

8y/8 = 89/8

SIMPLIFY IT!
y = 89/8

y ≈ 11 1/8

y ≈ 11.125

Therefore, the answer is:

y = 89/8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

2:3

Step-by-step explanation:

Simplica Los dos numeros

6 ÷ 3 = 2

9 ÷ 3 = 3

An expression is defined as a set of numbers, variables, and mathematical operations. The expressions can be arranged as shown below.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

According to the number of terms, the expressions can be arranged as,

Hence, the expressions can be arranged as shown above.

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There are 13 full cases and 2 additional items needed to fulfill the order

The given parameters are:

The number of cases is:

Case = 80/6

Evaluate

Case = 13 Remainder 2

This means that:

The full case is 13 and the additional item is 2

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3:7 =

3/7

3/7 = x/35

7x = 105

x = 15

answer : clara borrowed 15 books

I think it would be 15, because 3 doesn't go in evenly into 35. You might have the order of the ratio messed up.

Answer:

50,909

Sort the digits out from greatest to least, and form a number.

The number 92,581 is represented in standard form as the sum of its place values: 90,000 + 2,000 + 500 + 80 + 1.

Standard form is a way to represent numbers using digits.

In standard form, each digit's value is determined by its position in the number.

Given 9 ten thousands + 2 thousands + 5 hundreds + 8 tens + 1 one.

9 ten thousands means we have 9 sets of ten thousands, which is 9 × 10,000 = 90,000.

2 thousands means we have 2 sets of thousands, which is 2 × 1,000 = 2,000.

5 hundreds means we have 5 sets of hundreds, which is 5 × 100 = 500.

8 tens means we have 8 sets of tens, which is 8 × 10 = 80.

1 one is the value 1.

Now, let's add up all these values:

90,000 + 2,000 + 500 + 80 + 1

= 92,581.

So, the number 92,581 is represented in standard form as the sum of its place values: 90,000 + 2,000 + 500 + 80 + 1.

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Complete question:

Write the number in standard form.

9 ten thousands +2 thousands +5 hundreds + 8 tens +1 one

Answer:

volume= lxbxh= 10*8*2= 160 cm3

Since Suzy return took 1/4 hr longer, how far Suzy travelled to her appointment is 50 mi

To answer the question, we need to know what distance travelled by Suzy is

The distance between Suzy and her appointment is d = vt where

So, d = 50t   (1)

Now, since Suzy returns home at a speed of v' = 40 mph and takes her 1/4 hr longer to return home,her return time is , t' = (t + 1/4) h

Since the distance she ruturns home is the same, we also have that

d = v't'

= 40(t + 1/4)  (2)

Equating (1) and (2), we have

50t = 40(t + 1/4)

50t = 40t + 10

50t - 40t = 10

10t = 10

t = 10/10

t = 1 hr

Substituting t = 1 into d = 50t, we have

d = 50(1)

d = 50 m

So, how far Suzy travelled to her appointment is 50 mi

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Answer:

C) [tex]\displaystyle\frac{-2}{(x+1)}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{f(x)-f(1)}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{1+5}{1+1}}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{6}{2}}{x-1}\\\\\frac{\frac{2(x+5)}{2(x+1)}-\frac{6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2(x+5)-6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2x+10-6x-6}{2(x+1)}}{x-1}\\\\\frac{\frac{-4x+4}{2(x+1)}}{x-1}\\\\\frac{\frac{-4(x-1)}{2(x+1)}}{x-1}\\\\\frac{-4}{2(x+1)}\\ \\\frac{-2}{(x+1)}[/tex]

Answer:

D is the equation of the circle

Answer:

$40.50

Step-by-step explanation:

9% of 450 is 40.5

Answer:

Leading term: 4x⁴y³

Leading coefficient: 4

Constant term: 7

Answer:

Leading terms : 4x⁴y³

Leading co-efficient: 4

Constant: 7

Step-by-step explanation:

Leading term: Leading term is the term that holds the highest degree of the  polynomial.

Leading co-efficient is the coefficient of the leading term.

Constant term is the term without any variable

Answer:

2

Step-by-step explanation:

I don't know why am I so bad at math???

Answer:(approx) 6.

Step-by-step explanation:Here μ=51 and σ=15

Z=

σ

X−μ

​

=

15

X−151

​

When X=120, Z=

15

120−151

​

=−2.067

When X=155, Z=

15

155−151

​

=0.2667

When X=185, Z=

15

185−151

​

=

15

35

​

=2.2667

(i) P(120<X<155)=P(−2.07<Z<0.27)

=∫

−2.067

0.2667

​

ϕ(z)dz=∫

0

0.2667

​

ϕ(z)dz+∫

0

2.0667

​

ϕ(z)dz

=0.4803+0.1026=0.5829.

Here N=500

∴ The number of students whose weight is between 120 and 155 pounds is

0.5872×500=291

(ii) P(X<185)=P(Z>2.27)=∫

2.2667

∞

​

ϕ(z)dz

=∫

0

∞

​

ϕ(z)dz−∫

0

2.2667

​

ϕ(z)dz=0.5−0.4881=0.0119

∴ the number of students with weight about 185 pounds.

=0.0119×500= (approx) 6.

Answer:

The answer is in the picture.

Step-by-step explanation:

[tex]2+\frac{3}{10x}\geq\frac{13}{20} \\\\\frac{3}{10x}\geq\frac{13}{20} -2 \\\\\frac{3}{10x}\geq\frac{13}{20} -\frac{40}{20} \\\\\frac{3}{10x}\geq-\frac{27}{20} \\\\3\geq-\frac{27}{20}*10 x \\\\3\geq-\frac{270}{20} x\\\\3\geq-\frac{27}{2} x \\\\3*-\frac{2}{27} \leq x\\\\-\frac{6}{27} \leq x\\\\-\frac{2}{9} \leq x[/tex]

Also x cannot equal to 0 if you plug in into the original equation the answer is indefinite/not solution.

The number of the standard versions downloaded will be 2790 standard versions.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

A Web music store offers two versions of a popular song.

The size of the standard version is 2.1 megabytes (MB).

The size of the high-quality version is 4.9 MB.

Yesterday, the high-quality version was downloaded four times as often as the standard version.

The total size downloaded for the two versions was 5859 MB.

Then the number of the standard versions were downloaded will be

→ 5859 / 2.1

→ 2790 standard versions

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Answer:

theres 31536000 seconds in a year

Answer:

0.0065 calendar year

Step-by-step explanation:

How many seconds makes a year?

it is 31,536,000 seconds

for an approximate result, divide the time value by 3.154⁷

therefore 205000/3.154⁷

=0.00649

=0.0065

When we add two negative numbers, the result will be negative.

When we add a negative and a positive number, the result can be positive, negative, or equal to zero.

When we add two positive numbers, the result will be positive.

These are both negative numbers. We know this because they are both to the left of 0. When we add two negative numbers, we will get a result that is less than 0.

k is a negative number while n is a positive number.

Notice that on the number line, k and n appear to be at a equal distance away from 0. This means that if we were to take their absolute values, they would be equal.

This means that adding k and n would result in an answer of 0.

m is a negative number while n is a positive number.

Notice that on the number line, n appears to be further away from 0 than m is. m is very close to 0.

This means that the absolute value of n would be greater than that of m. The result would therefore be positive

Both these numbers are negative. Adding them would produce a negative result.

The value of the measure of Arc JQ from the given task content is; 142⁰.

The measure of Arc JQ can be evaluated by establishing a fact that; the total angle measure in a circle by convention is; 360⁰.

On this note, it follows that the measure of Arc JQ is; 360 - 120 - 98 is; 142⁰.

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