in a set of ordered pairs, the y values repeated while the x values did not repeat.
Which of the following is true:
A) It is NOT a relation and is a function
B) It is NOT a relation and is NOT a function
C) It is a relation and is NOT a function
D) It is a relation and is a function

Answer:

f(-4.2)= -94.94

Step-by-step explanation:

23.2*-4.2= -97.44

97.44+2.5= 94.94

Answer:

a)

[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

b) p is in the interval (-4,4)

Step-by-step explanation:

Quadratic Equation

It's given the following quadratic equation:

[tex]x^2+px+4=0[/tex]

a)

It's required to complete squares and find the roots. This can be done by recalling the polynomial identity:

[tex]a^2+2ab+b^2=(a+b)^2[/tex]

We already have the first term squared, and we need to find the second term. Rewriting the equation:

[tex]\displaystyle x^2+2(\frac{1}{2}px)+4=0[/tex]

The second term of the binomial is 1/2p, thus completing the squares with [tex]b^2[/tex]:

[tex]\displaystyle x^2+2(\frac{1}{2}px)+\left(\frac{1}{2}p\right)^2+4-\left(\frac{1}{2}p\right)^2=0[/tex]

Factoring:

[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2+4-\frac{1}{4}p^2=0[/tex]

Moving the independent term to the right side:

[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2=\frac{1}{4}p^2-4[/tex]

Taking the square root:

[tex]\displaystyle x+\frac{1}{2}p=\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

Solving for x:

[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

b) If the equation won't have real roots, then the radicand should be negative:

[tex]\displaystyle \frac{1}{4}p^2-4<0[/tex]

Factoring:

[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]

The zeros of the left-side polynomial are:

[tex]\displaystyle \frac{1}{2}p-2=0[/tex]

[tex]\displaystyle \frac{1}{2}p=2[/tex]

p = 4

[tex]\displaystyle \frac{1}{2}p+2=0[/tex]

[tex]\displaystyle \frac{1}{2}p=-2[/tex]

p = -4

The inequality:

[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]

Is satisfied for values of p in the interval (-4,4)

Answer:

Simplifying

(4 + 2k) * 6 + 3k = 0

Reorder the terms for easier multiplication:

6(4 + 2k) + 3k = 0

(4 * 6 + 2k * 6) + 3k = 0

(24 + 12k) + 3k = 0

Combine like terms: 12k + 3k = 15k

24 + 15k = 0

Solving

24 + 15k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 15k = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 15k = 0 + -24

15k = 0 + -24

Combine like terms: 0 + -24 = -24

15k = -24

Divide each side by '15'.

k = -1.6

Simplifying

k = -1.6

Step-by-step explanation:

Answer:

y=-2x-8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Let’s say that she has 10 dimes. 2(10)-5=Q

20-5=15

15 quarters

We doubled her dimes, and subtracted 5 to find quarters.

You can fill anything for D and remind true

Solution :

The null and alternative hypothesis is given by

[tex]$H_0: \mu = 11$[/tex]

[tex]$H_a: \mu \ne 11$[/tex]

Assume that the level of significance, α = 0.05

The t-test statistics is, t = 1.484

Degree of freedom :

df = n - 1

   = 14 - 1

   = 13

The P-value is given by

P-value = 2P (T>|t|)

            = 2P(T>|1.484|)

            = 2P(T>1.484)

            = 2(=T.DIST.RT(1.484,13))

            = 0.05

Answer:

[tex]3 \frac{1}{3}[/tex], or 10/3

Step-by-step explanation:

4/3 ÷ 2/5 = 4/3 × 5/2 = 20/6 = [tex]3 \frac{2}{6} = 3\frac{1}{3}[/tex]

Answer:

3 1/3

Step-by-step explanation:

When we divide two fractions, such as 4/3 ÷ 2/5, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

So first we will change 2/5 into its reciprocal, in simple words what fraction is it when its flipped over, 5/2 right? So now we change the division into multiplication, you may or may not have heard this phrase:

Keep, Change, Flip

so now our equation looks like this:

4/3 (5/2)

In a multiplication problem it dosent matter if the denominators are the same so we just straight up multiply, which gives us 20/6. We can still simplify this by 2, so 20 divided by 2 is 10, and 6 divided by 2 is 3, so our new fraction is 10/3, now we can simplify it again to make it proper, so its 10 divided by 3, the numerator goes inside and the denominator goes outside, this gives us 3r1, the denominator (the outside number) will becomes the mixed number, the remainder will become the numerator, and the answer will become the denominator, which gives us our final answer of:

3 1/3

Answer:

21

Step-by-step explanation:

15 divided by 5 is 3

7 times 3 = 21

Answer - There are 21 chocolate chip cookies.

Answer:

Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

Answer:

Congruent, SSS

Step-by-step explanation:

The dashes on the sides of the triangles represent that the corresponding lengths of the triangles are equal in length. Since it is given that all corresponding lengths of the triangles are equivalent, the triangles are congruent by the SSS (side, side, side) test.

Hope this helps :)

Answer:

-2x+7(10+18)

Step-by-step explanation:

Hope this helps

Answer:

slope=-2

Step-by-step explanation:

Slope = Rise over Run

Here the rise is -4 units and run is 2 units

Therefore,

-4/2 =-2

Hope this helps!

Answer:

882-28282=9191

Step-by-step explanation:

Answer:

32 trucks.

Step-by-step explanation:

3:1

Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)

Answer:

99 square units

Step-by-step explanation:

The scale factor works for linear dimensions like length, width, and perimeter. For a scale factor of k, area changes by k^2.

Here you have a scale factor of 3, so the4 area increases by a scale factor of 3^2 which is 9.

original area = 11 square units

scaled area = 9 * 11 square units = 99 square units

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

Answer:

9.625

5 divided by 8= 0.625 + 9 = 9.625

Step-by-step explanation:

Answer:

9.625

Step-by-step explanation:

5/8=0.625, than add 9 to it, and have 9.625

Answer:

189 cm²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × product of diagonals

   = [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²

Answer:

The correct answer to this problem is the third statement which is "Alexia completed 20 math problems and 10 science problem". The following conditions are stated in the problem:

Alexia can answer 3 minutes on each math problem

Alexia can answer 4 minutes on each science problem

She worked more than 60 minutes

We have the inequality 3x + 4y > 60 where x represents the total number of math problem while y represents the total number of the science problem.

in our answer, we have x=20and y=10

3*20 + 4*10 > 60

60 + 40 > 60

100 > 60

brainliest please

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

I just took this assignment. :)

Answer:

C

Step-by-step explanation:

Answer:

its should be A because theres no vertical line that looks like that lol

Answer:

A.  The graph fails the vertical line test, I think.

Step-by-step explanation:

Answer:

Y=1

Step-by-step explanation:

ㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍ

Answer:

Y = 1

Step-by-step explanation:

Answer:

60 in or 5 FT

Step-by-step explanation:

6 x 10 = 60 in

:D

Answer:

$58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

82-24=58

Answer:118

Step-by-step explanation:

Trust me

In triangle MNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To find the measure of angle ∠M, we need to use the law of cosines, which states that:

c² = a² + b² - 2ab cos(C)

To find ∠M, which is opposite to side m, so we can use the law of cosines as follows:

m²= n² + o² - 2no cos(∠M)

Substituting the given values, we get:

89² = 30² + 71² - 2(30)(71) cos(∠M)

Simplifying and solving for cos(∠M), we get:

cos(∠M) = (30²+ 71² - 89²) / (2(30)(71))

cos(∠M) = -0.4402

To find the measure of ∠M, we need to take the arccosine of cos(∠M) using a calculator:

∠M = 118.7 degrees

Hence, in ΔMNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Answer:

[tex]f(x)\geq -2[/tex]

Step-by-step explanation:

Range corresponds to the values of y on the y-axis. If we see the graph the minimum value of the y-coordinate is -2 and then it tends to increase from it. We do not know till where the y values will increase in the figure it shows 6 but it's still actually increasing we keep on tracing the graph but the minimum value will always remain the same which is -2 . So we can say that the range of the function is

[tex]f(x)\geq -2\\[/tex]

Where f(x) is the function and since the values of y on the y-axis increase from -2 we can say that the function has the range of values greater than or equal to -2

Answer:

no

Step-by-step explanation:

5 is a whole number 0.5 doesn't equal to 1 it is half of 1

Answer:

B) 3.7(1.15)

Step-by-step explanation: