7.___________________ angle measures between 0⁰ and 90⁰

a. Acute b. Obtuse c. Right d. Straight​

The equation -2x^2 - x - 3 is solved graphically

there is no real solution solution the imaginary solution is

-0.25 + i1.2 OR -0.25 - i1.2

A quadratic equation is an equation of the form

ax^2 + bx + c = 0,

where a, b, and c are constants and x is an unknown variable.

The solution of a quadratic equation refers to the values of x that satisfy the equation.

It's worth noting that a quadratic equation may have two real solutions, one real solution, or no real solutions.

Solving the equation with calculator gave imaginary solutions at

x = -0.25 + i1.2 OR -0.25 - i1.2

The graph is attached

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Answer:

First choice

Step-by-step explanation:

Looking at the graph, as the line gets further to the right (positive x, also displayed as x-> infinity) the line continues downwards in the y (vertical) direction

Looking at the graph, as the line gets further to the left (negative x, also displayed as x-> -infinity) the line continues downwards in the y (vertical) direction

Thus, the end behavior is -infinity for both ends

Answer:

m= 0, -0.2

Step-by-step explanation:

that's what I got when I did it

Answer:

Step-by-step explanation:

200m^4 + 80m^3 + 8m^2 = 0

~Factor

8m²(5m + 1)(5m + 1) = 0

~Set everything to equal 0 and solve

8m² = 0 → m² = 0 → m = 0

5m + 1 = 0 → 5m = -1 → m = -1/5

5m + 1 = 0 → 5m = -1 → m = -1/5

Best of Luck!

The expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

We break up a number according to its place value and expand it to show the value of each digit.

Given that to write expanded form of 706.039

Expanded Factors Form:

706.039 = 7 × 100  + 0 × 10 + 6 × 1  + 0 × 0.1 + 3 × 0.01 + 9 × 0.001

Expanded Notation Form:

706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

Hence, the expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

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Answer:

79

Step-by-step explanation:

same thing as 79/1

For every cup of grape juice, you have to use 3 cups of water.

To determine how many cups of grape juice you have to use for 21 cups of water, you can use cross multiplication:

3 cups of water____ 1 cup of juice

21 cups of water____ x cups of juice

Both relationships are at the same ratio so that:

Multiply both sides by 21 to determine the value of x:

For 21 cups of water, you have to use 7 cups of grape juice.

Answer:

x = 20,000

p = $40

If the price increase by $1, the demand will decrease by 1000

Step-by-step explanation:

Given:

x = 160 - p

x = number of Robby costumes demanded in thousands

p = price in dollars.

a. How many costumes can be sold at a price of $140?

x = 160 - p

x = 160 - 140

= 20

x = 20,000

20 thousand costumes can be sold at a price of $140

b. What price should be charged if the demand is 120,000 Robby costumes?

x is in thousand

p is in dollars

x = 160 - p

x + p = 160

120 + p = 160

p = 160-120

= 40

p = $40

c. If the price increases by $1.00, by how much does the demand decrease?

x = 160 - p

= 160 - 141

= 19

x= 19,000

If the price increase by $1, the demand will decrease by 1000

Answer:

25 yeehawwwww

Step-by-step explanation:

The intercepted arc for angle G is arc CDF, the measure of arc DEG is 180° and the measure of arc CG is 102°.

Given that the circle, we need to find the missing measurements,

So, according to the properties of a circle we can conclude that the measure of the arc is equal to the double of the inscribed angle opposite to it,

So,

1. What is the intercepted arc for angle G = arc CDF.

2. what is the measure of arc DEG = the opposite inscribed angle is 90°

So, the arc DEG = 90° × 2 = 180°

Therefore, arc DEG = 180°

3. what is the measure of arc CG = since the arc DEG = 180°, so the arc DCG = 180°

Therefore, arc DCG = arc DC + arc GC

180° = 78° + arc GC

arc GC = 102°

Hence the intercepted arc for angle G is arc CDF, the measure of arc DEG is 180° and the measure of arc CG is 102°.

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Answer:

The inequality representing the time taken by the entire cycle is:

\(4x+y\leq 3\)

Step-by-step explanation:

The time taken to complete one cycle of a manufacturing machine is no longer than 3 minutes.  

It is provided that the manufacturing machine has two processes.

One of them is repeated 4 times and the second only once.

Assume that the variable x represents the time taken to complete the first process once.

Then the  time taken to complete the first process 4 times would be, 4x.

Also assume that the variable y represents the time taken to complete the second process.

Then the inequality representing the time taken by the entire cycle is:

\(4x+y\leq 3\)

Consider the graph below representing the above equation.

Answer: D

Step-by-step explanation:

Answer:

f inverse of x is equal to 3 to the power of the quantity x plus 6 end quantity minus 5 all over 4

Step-by-step explanation:

The function \(f(x)=\log_3 (4x+5)-6\) can be thought of as a series of steps, one operation at a time:

Start with x

Multiply by 4

Add 5

Take the \(\log_3\)

Subtract 6

That gives you a function value \(f(x)\).

To get the inverse function, read that list from the bottom up (in reverse order, using inverse operations at each step).

Start with x  (a bit confusing, because this  x  represents the function value you get at the end of the above list).

Add 6   (add is the inverse operation of subtract)

Raise 3 to the ...    \(3^{\text{result of previous step}\)

Subtract 5

Divide by 4

\(f^{-1}(x) = \frac{3^{x+6}-5}{4}\)

Let's test this out.  Find f(1).

\(f(1)=\log_3(4 \cdot 1 + 5)-6 =\log_3(9)-6=2-6=-4\)

Now put -4 into the inverse function.

\(f^{-1}(-4)=\frac{3^{-4+6}-5}{4}=\frac{3^2-5}{4}=\frac{9-5}{4}=\frac{4}{4} =1\)

The final result is the number we started with when we put 1 into f(x).

Finding an inverse is reversing the action of the function  f  by doing inverse operations in "backwards" order.

A lot of authors have you do this by switching  x  and  y  in the formula for a function, then solving for  x.

\(y = \log_3(4x+5)-6\text{ switch x and y}\\\\x = \log_3(4y+5)-6\\\\x+6 = \log_3(4y+5)\\\\3^{x+6}=4y+5\\\\3^{x+6}-5=4y\\\\\frac{3^{x+6}-5}{4}=y\)

Answer:

B-

Step-by-step explanation:

I took the test

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

7 times

Step-by-step explanation:

In order to find the answer to this question you have to remember that when dealing with exponents you need to multiply the number to itself as many times as the exponent. In this case we have 2^3 we then need to multiply two by itself three times because three is it's exponent.

\(2^3 \times2^4\)

\(2^3=2\times2\times2\)

\(2^4=2\times2\times2\times2\)

\(2\times2\times2\times2\times2\times2\times2=\)

\(3+4=7\)

\(=7\)

Hope this helps.

"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).

The expression "log 2 - log 4" can be simplified using                   logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."

The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:

A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.

B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.

C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.

D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.

Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.

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The total amount paid for the used car plus expenses will be $6,914.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Zaida purchased a used car for $6,500.

State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.

Now,

Since, Zaida purchased a used car for $6,500. State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.

Hence, The total amount paid for the used car plus expenses is,

⇒ $6500 + 4% of 6500 + $72 + $45 + $37

⇒ $6500 + $260 + $154

⇒ $6,914

Thus, The total amount paid for the used car plus expenses = $6,914

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Answer:

Domain = {x : x ≠ 4 , -4}  or  (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Step-by-step explanation:

TO FIND :-

SOLUTION :-

Domain of a function is a value for which the function is valid.

The function \(C(x) = \frac{x + 9}{x^2 - 16}\) is valid until the denominator is 0.

So make sure that the denominator must not be 0.

\(=> x^2 - 16 > 0\)

Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.

\(=>x^2 - 16 + 16 > 0 + 16\)

\(=> x^2 > 16\)

\(=> x > \sqrt{16}\)

\(=> \boxed{x > 4} \: or \:\boxed{x > -4}\)

We can say that 4 & -4 can't be domains because these values will make the function undefined.

Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.

CONCLUSION :-

The function will be valid for any value of 'x' except 4 & -4. So in :-

Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Set builder notation , it can be written as → {x : x ≠ 4 , -4}

Answer:A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: a2 + b2 = c2. Example: The smallest Pythagorean Triple is 3, 4 and 5

Step-by-step explanation:

Answer: There is about a 3% chance that 5 or more buses are running off schedule. This is unusual and is convincing evidence that the true probability that a bus is off schedule is more than 10%

Step-by-step explanation:

edge 2021

Answer:

D

Step-by-step explanation:

Good Luck

Answer:

The probability is 4.34%.

Step-by-step explanation:

Given that in a group of 23 pupils, 4 play the flute only, 3 play the piano only and 15 play neither instrument, if a student is selected at random, to determine what is the probability the student plays both instruments the following calculation has to be done:

23 - 15 - 4 - 3 = 1

Therefore, only 1 student plays both instruments, with which the probability that if a student is chosen at random he will play both instruments is 1/23, that is:

23 = 100

1 = X

100/23 = X

4.34 = X

Therefore, the probability is 4.34%.

Answer:

To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.

Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)

Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:

S = (n/2) x (a + l)

where S is the sum, n is the number of terms, a is the first term, and l is the last term.

Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:

S = (10/2) x (45 + 18) = 5 x 63 = 315

Therefore, Naina used a total of 315 beads to complete the ornament.

Answer:

The answer to your problem is, 1260

Step-by-step explanation:

Well we know she made 10 “ strand ornaments “ for each layers we would need to add;

45 + 42 + 39

= 126

We would actually then need to multiply it by 10. Shown:

126 × 10

= 1260

Thus the answer to your problem is, 1260

Given:

f(x) = 2x - 5

g(x) = 4x + 3

(f + g)(x) can be found as,

Therefore, (f + g)(x)=6x-2.

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

Therefore, 1/2 cup of oil is required for every cup of water.

A number that connects a component to a whole is a proportion. For instance, there are 100 students in the school with 20 males and 80 women. The percentage of men is 20/100, or 20%. 80 out of 100, or 80%, are women.

According to the recipe, for every 2/3 cup of water, 1/4 cup of oil is needed. We can write this ratio as:

1/4 cup oil : 2/3 cup water

To find how much oil is needed per cup of water, we can set up a proportion and solve for the missing value:

1/4 cup oil : 2/3 cup water = x cups oil : 1 cup water

Cross-multiplying, we get:

1/4 cup oil * 1 cup water = 2/3 cup water * x cups oil

Simplifying, we get:

1/4 = 2/3 * x

Dividing both sides by 2/3, we get:

x = 1/2

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Check the picture below.

Answer:

∠ U = 12°

Step-by-step explanation:

the inscribed angle RST is half the measure of its intercepted arc RT , then

arc RT = 2 × ∠ RST = 2 × 30° = 60°

the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is

∠ U = \(\frac{1}{2}\) ( RS - RT ) = \(\frac{1}{2}\) × (84 - 60)° = \(\frac{1}{2}\) × 24° = 12°

Answer:

true

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Since given line is parallel to x axis, so it's slope is zero.

Another way:

Line is passing through the points (2, - 1) & (3, - 1)

So,

\( slope=\frac{-1-(-1)}{3-2}\)

\( slope=\frac{-1+1}{1}\)

\( slope=\frac{0}{1}\)

\( slope=0\)

Answer:

The second box is correct.

Step-by-step explanation:

Answer:

its the first one to the left

Step-by-step explanation:

hope I helped :)

Answer:

Step-by-step explanation:

g(f(x)

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

               x^2 + 4x + 4 - x - 2 - 3

               x^2 + 3x - 1

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°