Graph the line with the equation y = -3x – 2.
10
9
-10-9
-6 -5
-4
-3
1
3
4
5 6 7 8 9 10

Step-by-step explanation:

3√(x - 4) + 7 = -14

3√(x - 4) = -21 (subtract 7 from both sides)

√(x - 4) = -7 (divide 3 on both sides)

However √y is non-negative for all values of y in the domain of √y.

Hence there is no real solution for x.

Answer:

The scale factor is 1 to 3

Step-by-step explanation:

Here, we want to get the scale factor

we can use the coordinates of the vertices of the small image and the vertices of the large image to get this

We have;

(2,5) going on to give (6,15)

As we can see, the vertices of the small shape are multiplied by 3 to give that of the big shape

So also we can see for the other vertices

This means that the scales factor is 1 to 3

Answer:

x= -74 or -84

Step-by-step explanation:

x^2+3x+37=-7x

x^2+3x+7x+37=0

x^2+10x+37=0

this convert to following

[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]

-b= -(10), a= 1, c =37

according to that

x= -74 or x= -84

Answer: (12, 5)

Step-by-step explanation:

3x + 2y = 46 x + y = 17

Subtract y from both sides of the equation.

x = 17 − y 3x + 2y = 46

Replace all occurrences of x with 17 − y in each equation.

   51 − y = 46

x = 17 − y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

Subtract 51 from both sides of the equation.

   −y = 46 − 51

   x = 17 − y

Subtract 51 from 46.

   −y = −5

   x = 17 − y

Multiply each term in −y = −5 by −1

Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1

   x = 17 − y

Multiply (−y) ⋅ −1.

   y = (−5) ⋅ −1

   x = 17 − y

Multiply −5 by −1.

y = 5

x = 17 − y

Replace all occurrences of y with 5 in each equation.

Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)

y = 5

Simplify 17 − (5).

Multiply −1 by 5.

x = 17 − 5

y = 5

Subtract 5 from 17.

x = 12

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(12, 5)

The result can be shown in multiple forms.

Point Form: (12, 5)

Equation Form: x = 12, y = 5

Answer:

8. Not a function, the first three are of the same pattern but not the last two

9. Not a function, each input should have only 1 output or two inputs could have one output.

Answer:

$656.77 is left

Step-by-step explanation:

-$1,500 budget

Spends: $225.30, $482.25, 135.68.

Now subtract all these values with 1,500.

1500 - 482.25 - 225.30 - 135.68 = 656.77

Answer: C

Step-by-step explanation:

I took this before

Answer:

y=4/5x -5

Step-by-step explanation:

the slope is x and x is on the point -5. and d

to find the y-intercept you do rise/run

Answer:

The correct corresponding part is;

[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])

Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC

Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]

Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]

Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Answer:

129.05 is your answer.

Step-by-step explanation: Final price: $129.05

Saved amount: $15.95

Answer:

[tex]10^7[/tex]

Step-by-step explanation:

There are [tex]7[/tex] zeroes in the number [tex]10,000,000[/tex]. Therefore, [tex]10,000,000[/tex] can be written as [tex]\fbox{$10^7$}[/tex].

*Any number written as [tex]10^n[/tex] will be equal to [tex]1[/tex] followed by [tex]n[/tex] zeroes.

Answer:10^7

Step-by-step explanation:

Answer:

I am sure the answer is 36

Step-by-step explanation:

Answer:

2/21

Step-by-step explanation:

Probability = expected outcome/ possible outcome

The solution is 4 : 5

The ratio of the fraction is 4 : 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be A

Now , the value of A is = 16 cm

Let the second number be = B

The value of B is = 20 cm

The ratio of A and B is calculated as C

where C = A / B

A goes to the numerator of the fraction and B to the denominator

Substituting the values in the equation , we get

C = A/B

C = 16/20

On simplifying the equation , we get

C = 4/5

Therefore , the value of C is 4 : 5

Hence , the value of equation is 4 : 5

To learn more about equation click :

https://brainly.com/question/19297665

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Answer:

[tex]-\frac43[/tex]

Step-by-step explanation:

Hello!

Slope is calculated by the formula [tex]\frac{Rise}{Run}[/tex].

The two points I'm picking is (0,0) and (3,-4).

Therefore, the slope is [tex]-\frac43[/tex].

Answer:

im not sure but i think 3

Step-by-step explanation:

Answer:

it A ;)

Step-by-step explanation:

Step-by-step explanation:

[tex]8 + 12 = 20 \\ probability \: = expected \: outcome \div possible \: outcome \\ \\ \\ \frac{12}{20 } = \frac{3}{4} [/tex]

Answer:

c

Step-by-step explanation:

Answer:

Evaluating the piecewise function when X =3, we get f(3) = 7

Step-by-step explanation:

Given the following piecewise function

f(x)= { 2x+1; where x > 0

         -3 when x ≤ 0

Evaluate the function when X = 3

We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0

We can't use -3, because x ≤ 0, and 3 is not less than 0.

Now, evaluating the function:

[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]

So, Evaluating the piecewise function when X =3, we get f(3) = 7

Answer:

What

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The answer is C. She saves $150 every month

Step-by-step explanation:

Answer:

[tex]x=55 \textdegree[/tex]

[tex]y=35 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that

Sum of two angle =90

First angle is 15 less than twice the measure of the second angle.

Generally interpreting mathematically we have

Let x be the first angle and second angle y

[tex]x=2y-15[/tex]

Therefore

[tex]2y-15 +y=90[/tex]

[tex]3y=105[/tex]

[tex]y=\frac{105}{3}[/tex]

[tex]y=35 \textdegree[/tex]

Therefore

[tex]x+35=90[/tex]

[tex]x=90-35[/tex]

[tex]x=55\textdegree[/tex]

Given:

The equation is

[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]

To find:

The solution of the given equation.

Solution:

We have,

[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]

It can be written as

[tex]\left(\dfrac{5}{6}+\dfrac{6}{7}-\dfrac{9}{14}\right)h=4[/tex]

[tex]\left(\dfrac{35+36-27}{42}\right)h=4[/tex]

[tex]\left(\dfrac{44}{42}\right)h=4[/tex]

[tex]\dfrac{22}{21}h=4[/tex]

Multiply both sides by 21.

[tex]22h=84[/tex]

Divide both sides by 22.

[tex]h=\dfrac{84}{22}[/tex]

[tex]h=\dfrac{42}{11}[/tex]

Therefore, the solution of the given equation is [tex]h=\dfrac{42}{11}[/tex].

Answer:

C

Step-by-step explanation:

I hope this helps!

Answer:

The answer is 648 miles.

Step-by-step explanation:

936miles= 13 hours

? = 9 hours

936/ 13 = 72

72miles in 1 hour

72 x 9 = 648

648 miles in 9 hours

Answer:

Domain: (-7, 4]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line's x-values span from -7 to 4. Since -7 is open dot, it is exclusive from the domain; since 4 is closed dot, it is inclusive in the domain:

Interval Notation: (-7, 4]

Inequality Notation: -7 < x ≤ 4