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3 years ago

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2

Mathematics

2 answers:

alisha [4.7K]3 years ago

5 0

$\Delta=5^2-4\cdot1\cdot7=25-28=-3$

$\Delta$ so 0 solutions.

DaniilM [7]3 years ago

4 0

Answer:

No Real roots to this Quadratic Equation

Step-by-step explanation:

Our Quadratic equation is given as

$x^2+5x+7=0$

In order to find that do we have the real roots of a quadratic equation , the Discriminant must be greater or equal to 0. The Discriminant is denoted by D and given by the formula

$D= b^2-4ac$

Where b is the coefficient of the middle term containing x, a is the coefficient of the term containing $x^{2}$ and the c is the constant term.

Hence we have

a = 1 , b = 5 and c = 7

Calculate D

$D=b^2-4ac\\D=5^2-4*1*7\\D=25-28\\D=-3$

Hence we see that the Discriminant (D) is less than 0, our answer is no real roots to this quadratic equation.

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The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the

Nataly [62]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2h$ , where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is $\frac{7}{2}$ cm.

$V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}$

$V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}$

$V=\frac{490\pi }{12}\text{ cm}^3$

$V=128.2817\text{ cm}^3$

Upon rounding to nearest tenth, we will get:

$V\approx 128.3\text{ cm}^3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

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3 years ago

The histogram represents the distributions of essay scores for high school sophomores and juniors in a contest. Which statements

Ket [755]

Answer:

B,C, and E

Step-by-step explanation:

A histogram is a graphical illustration of information in bars of diverse heights. A histogram displays the shape and spread of continuous sample data. The true statements about the data essay scores for high school sophomores and juniors in a contest are; the juniors tended to have higher essay scores than the sophomores, the medians of both data sets are equal and the histogram is the best way to show that both distributions are nearly symmetric.

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3 years ago

Read 2 more answers

When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the function L(h) = 28.75

dybincka [34]

Answer:

M(h) = 73.18025h

Step-by-step explanation:

The composite function is ...

M(B(L(h))) = M(B(28.75h)) = M(1.78(28.75h)) = M(51.175h)

= 1.43(51.175h) = 73.18025h

The composite function is ...

M(h) = M(B(L(h))) = 73.18025h

7 0

3 years ago

When an automobile is stopped with a roving safety patrol,each tire is checked for tire wear, and each headlight is checkedto se

ryzh [129]

Answer:

a) Joint ptobability distribution

$\begin{pmatrix} &Y=0&Y=1&Y=2&Y=3&Y=4\\X=0&0.3&0.05&0.025&0.025&0.1\\ X=1&0.18&0.03&0.015&0.015&0.06 \\ X=2&0.12&0.02&0.01&0.01&0.04\end{pmatrix}$

b) P(X<= 1 and Y <= 1) = P(X<= 1) * P(Y<=1) = 0.56

c) P(X + Y = 0)=0.3

d) P(X + Y <= 1)=0.53

Step-by-step explanation:

We have to construct the joint probability table with the marginal probabilities of X and Y.

X can take values from 0 to 2, and Y can take values from 0 to 4.

We can calculate each point of the joint probability as:

$P(x,y)=P_x(x)*P_y(y)$

Then, the joint probabilities are:

X=0 Y=0 Px=0.5 Px=0.6 P(0,0)=0.3

X=0 Y=1 Px=0.5 Px=0.1 P(0,1)=0.05

X=0 Y=2 Px=0.5 Px=0.05 P(0,2)=0.025

X=0 Y=3 Px=0.5 Px=0.05 P(0,3)=0.025

X=0 Y=4 Px=0.5 Px=0.2 P(0,4)=0.1

X=1 Y=0 Px=0.3 Px=0.6 P(1,0)=0.18

X=1 Y=1 Px=0.3 Px=0.1 P(1,1)=0.03

X=1 Y=2 Px=0.3 Px=0.05 P(1,2)=0.015

X=1 Y=3 Px=0.3 Px=0.05 P(1,3)=0.015

X=1 Y=4 Px=0.3 Px=0.2 P(1,4)=0.06

X=2 Y=0 Px=0.2 Px=0.6 P(2,0)=0.12

X=2 Y=1 Px=0.2 Px=0.1 P(2,1)=0.02

X=2 Y=2 Px=0.2 Px=0.05 P(2,2)=0.01

X=2 Y=3 Px=0.2 Px=0.05 P(2,3)=0.01

X=2 Y=4 Px=0.2 Px=0.2 P(2,4)=0.04

We can write it in the form of a matrix:

$\begin{pmatrix} &Y=0&Y=1&Y=2&Y=3&Y=4\\X=0&0.3&0.05&0.025&0.025&0.1\\ X=1&0.18&0.03&0.015&0.015&0.06 \\ X=2&0.12&0.02&0.01&0.01&0.04\end{pmatrix}$

b) From the joint probability P(X<= 1 and Y <= 1) is equal to

$P(X\leq 1 \& Y \leq 1)=P(0,0)+P(0,1)+P(1,0)+P(1,1)\\\\P(X\leq 1 \& Y \leq 1)=0.3+0.05+0.18+0.03=0.56$

We can calculate P(X<= 1) * P(Y<=1)

$P_x(X\leq 1)=P_x(0)+P_x(1)=0.5+0.3=0.8\\\\P_y(Y\leq1)=P_y(0)+P_y(1)=0.6+0.1=0.7\\\\P_x(X\leq1)*P_y(Y\leq1)=0.8*0.7=0.56$

Both calculations give the same result.

c) Probability of no violations

$P(X+Y=0)=P(0,0)=0.3$

d) P(X + Y <= 1)

$P(X+Y \leq 1)=P(0,0)+P(0,1)+P(1,0)\\\\P(X+Y \leq 1)=0.3+0.05+0.18=0.53$

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3 years ago

Construct the triangle ABC using as coordinates of its vertices points A(−3, 0), B(4, 5),

Mekhanik [1.2K]

The answer would be (0,2) because as shown in the graph ab crosses the y-axis at (0,2)

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3 years ago