The factors of the quadratic function g(x) are (5x – 1) and (x + 4). What are the solutions to the equation g(x) = 0?

Answers

Answer 1

Answer:

The solutions to the equation are [tex]x = \frac{1}{5}[/tex] and [tex]x = -4[/tex]

Step-by-step explanation:

The factors of the quadratic function g(x) are (5x – 1) and (x + 4).

This means that:

[tex]g(x) = 0[/tex]

[tex](5x - 1)(x + 4) = 0[/tex]

So

[tex]5x - 1 = 0[/tex]

[tex]5x = 1[/tex]

[tex]x = \frac{1}{5}[/tex]

And

[tex]x + 4 = 0[/tex]

[tex]x = -4[/tex]

The solutions to the equation are [tex]x = \frac{1}{5}[/tex] and [tex]x = -4[/tex]


Related Questions

What is the volume of the triangle are present
8cm
3cm
13cm

Answers

Answer:

v=l*b*h

=8cm*3cm*13cm

=312cm

V = lbh (l x b x h)
V = 8*3*13
V = 312 cm

Use your calculator to find the trigonometric ratio sin 79°

Answers

Answer:

0.982

Step-by-step explanation:

Use your calculator to find the trigonometric ratio sin 79°

Answer: 0.982

In which quadrant on a graph will (-5, -7) be found? *
Quadrant 1
Quadrant II
Quadrant III
Quadrant IV

Answers

Answer:

on a graph will (-5, -7) be found Quadrant III.

the solutions of the equation x^2-6x+4=0

Answers

Answer:

you have 2 options!!!

Step-by-step explanation:

hoped I helped!

What is the common difference for this arithmetic sequence?
45, 39, 33, 27, 21, ...

Answers

Answer:

A. -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Common difference of an arithmetic sequence=t2-t1

=39-45

=-6

Find the AREA of the triangle below. Round your answer to the nearest tenth. I sad 15 I am not sure if its correct

Answers

Answer:

11 sq. units

Step-by-step explanation:

Find the area of the rectangle first, then find the area of the three white triangles.

Area of the rectangle

= 6×5

= 30 sq. units

Total area of the three white triangles

= (4×5)÷2 + (2×3)÷2 + (6×2)÷2

= 19 sq. units

The area of the rectangle minus the total area of white triangles:

Area of the green triangle

= 30-19

= 11 sq. units

Chris is splitting 6 quarts of ice cream with 9 members of the team. If the ice cream is split evenly. How many cups will each person get? Explain

Answers

each person gets 2 2/3 cups of ice-cream
Step-by-step explanation:
First, you convert 6 quarts to cups. For every quart, there are 4 cups so you do 6 times 4 and you get 24 then you divide 24 by 9 and you get 2 2/3

plot the point P(-6,2) and fron it draw PM and PN perpendiculars to x-axis and y-axis​

Answers

Answer:

image

Step-by-step explanation:

The triangles shown below must be congruent.

A.True
B.False

Answers

Answer:

true

Step-by-step explanation:

the triangles are congruent

What is the volume of a hemisphere with a diameter of 45.7 m, rounded to the nearest tenth of a cubic meter?

Answers

24987.2 meters cubed.

Step-by-step explanation:

A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.

The volume of a sphere is V= (4/3)πr3

The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,

45.7m, by 2. So r = 22.85 meters

so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.

Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.

And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.

A ball is thrown straight up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 48t + 64. What is the height of the ball at 2 seconds ?

Answers

Answer:

112 :).

Step-by-step explanation:

hope this helps!

The answer will be 112.

5. Find dy/dx of
of the following
the following functions
y²= 4ax

Answers

Answer:

A general rule for functions of the general form:

y = A*x^n

is:

dy/dx =  n*A*x^(n - 1)

Then, for the function:

y^2 = 4*a*x

Then we can rewrite this as:

y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)

Then we have:

A = √(4*a)

n = 1/2

Now we can use the above rule to get

dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)

dy/dx = (1/2)*√(4*a)*x^(-1/2)

dy/dx = (1/2)*√(4*a/x)

dy/dx = √(1/4)*√(4*a/x)

dy/dx = √( (1/4)*4*a/x)

dy/dx = √(a/x)

pls help me its due at midnight!!

Enter the given equation in exponential format.

log base2 x = r

Answers

Answer:

2^r=x

Step-by-step explanation:

Describe the behavior of the graph below.

Answers

the answer is d.) the graph decreasing values of x i’m sorry if i’m wrong

Answer:

Step-by-step explanation:

HELP ASAP!!!! HELP FAST!!!

Answers

Answer: C.  3x^2y^

Step-by-step explanation:

gcf is 3 between 12 and 21

an then add the ecponets on it

read and do this is not that hard i know yall can do this

Answers

Answer:

parallelograms

Step-by-step explanation:

I really need the help

y>_ -5
y- 1 < 3x

Answers

Answer:

C

Step-by-step explanation:

2. Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points. Part A: What is the probability that a randomly selected score is greater than 81 points? Part B: What percentage of students scores are between 69 and 78? Part C: A student who scores a 84 is in the _______________ percentile.

Answers

Using the normal distribution, it is found that:

A. There is a 0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

B. 81.85% of students scores are between 69 and 78.

C. The student scored in the 99.87th percentile.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, as:

[tex]\mu = 75, \sigma = 3[/tex].

Item a:

The probability is one subtracted by the p-value of Z when X = 81, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{81 - 75}{3}[/tex]

Z = 2.

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

Item b:

The proportion is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 69, hence:

X = 78:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78 - 75}{3}[/tex]

Z = 1.

Z = 1 has a p-value of 0.8413.

X = 69:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 75}{3}[/tex]

Z = -2.

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

81.85% of students scores are between 69 and 78.

Item c:

The percentile is the p-value of Z when X = 84, multiplied by 100, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{84- 75}{3}[/tex]

Z = 3.

Z = 3 has a p-value of 0.9987.

The student scored in the 99.87th percentile.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

PLease help me will give branliest! desperate! Find the two missing sides and write your answer as in simplified radical form. image attached

Answers

Answer:

I have got,

x = 14

y = 12.1

Using trigonometric ratio.

how do you find the slope from x+y=3?

Answers

X+y=3. X-x+y=3 -1x. Y=-1x +3

Answer:

y=-x+3

Step-by-step explanation:

To find slope, you would want to use the formula for slope which is y=mx+b.

we are basically isolating the "y". So to find slope we would just subtract the "x" from both sides, leaving use with a negative "x" plus 3 on one side and a y on the other.

No links
13 points for this,
Will receive brainliest!

Answers

Answer:

median is the middle number

mean is the numbers added up and divide by how many numbers there are

range is biggest take smallest

Mode is the most common so if you only have 1 number 1 and 2 number 2s  then 2 is the mode

Step-by-step explanation:

A park in a subdivision has a triangular shape. Two adjacent sides of the park are 433 feet and 520 feet. The angle between the side is 37 degrees. Find the area of the park to the nearest square foot. ​

Answers

Answer:

Step-by-step explanation:

Area of triangle is given by the formula:

1/2*a*b*sinC

= 1/2*433*520*sin(37degrees)

= 67752 sq ft

Answer:

Step-by-step explanation:

applying sine rule for area of triangle

Area = 1/2absin(c)

= 1/2x433x520xsin(37)

= 67752ft^2

2. What is the value of win this equation?
5w+ 3 = 9

Answers

Answer:

w = 1.2 or 6/5

Step-by-step explanation:

math

What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFraction?

A fraction bar labeled 1. Under the 1 are 4 boxes labeled one-fourth. Under the 4 boxes are 6 boxes labeled one-sixth. Under the 6 boxes are 12 boxes labeled one-twelfth.

Answers

Answer:

B) 9/10

Step-by-step explanation:

I will give brainliest to whoever answers this question:) help a dummy out

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation is a parabola, that opens up downwards,  and the point from which Sarah throws the ball is 5 feet off the ground.  so set the height to zero ( when the ball reaches the ground )  and solve for t

0 = -16[tex]t^{2}[/tex] + 18t + 5

use quadratic equation :)

-b +- sqrt([tex]b^{2}[/tex] - 4ac) / 2a

-18 +- sqrt[ [tex]18^{2}[/tex] - 4 (-16)(5) ] / 2(-16)

-18 +- sqrt[324 +320 ] / -32

-18 +- sqrt[644] / -32

-18 +- 25.377155 / -32

do the positive choice :

-18 + 25.377155 / -32

7.377155  / -32

-0.2305  ( so this answer would be where the ball would hit the ground if the arc extended down to the ground behind where Sarah throws the ball from. so this answer doesn't count in our domain. Because it's before Sarah throws the ball)

do the negative choice:

-18 - 25.377155 / -32

1.355536  ( this answer looks good, about 1.35 seconds for the ball to fly , this was more of a toss than a throw. )

t = 1.4 seconds ( rounded to nearest 10th )

What is the slope m and y-intercept b of the equation y = 1/3x - 5?

Answers

Answer:

slope = 1/3 , y-int = -5

Step-by-step explanation:

y = mx + b

hope this helps!

this is way different to what my class has done before and im confused

Answers

Answer:

Step-by-step explanation:

x+5y=-13.   Equation 1

2x+10y=-26 multiply equation 1 by 2

-2x-10y=26. Equation 2

0+0=0 add two equations together

0=0

infinite number of solutions

Answer:

(-13-5y,y)

Step-by-step explanation:

See the steps below:)

can someone help me with this final please

Answers

Answer:

Option 1.) y = 125°

Step-by-step explanation:

We know that sum of exterior angles of any polygon is 360°. Therefore we can say;

70° + 60° + 65° + 40° + y° = 360°

235° + y° = 360°

y = 360 - 235

y = 125°

Therefore the measure of ∠y = 125°

Hope this helps!

Function A and Function B given below are linear functions, which statement is
true?

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Slope Formula: Y2 - Y1/ X2 - X1

Function A: 15 + 25/ 4 + 4 = 5; Slope = 5

Function B: 4 - 2/ 3-2 = 2; Slope = 2

The slope of Function A is greater than the slope of Function B.

find all trigonometric functions of an angle θ in the third quadrant for which tan θ = 7/4

Answers

Answer:

[tex]y = 7 \\ x = 4 \\ r = \sqrt{33} \\ \cot(t) = \frac{4}{7} \\ \sin(t ) = - \frac{7}{ \sqrt{33} } \\ \cos(t) = - \frac{4}{ \sqrt{33} } [/tex]

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