Which graph shows the solution to the equation f(x)= (x-1)(x+4)

Which Graph Shows The Solution To The Equation F(x)= (x-1)(x+4)

Answers

Answer 1

Answer:

the firstn one

Step-by-step explanation:

Answer 2

Answer:

D

Step-by-step explanation:

We have the function:

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

This is a quadratic in factored form.

The zeros of our function will be the opposites of our factors.

We have the factors (x-1) and (x+4).

Therefore, the zeros of our function must be at x=1 and x=-4.

Also, notice that the coefficient of our x-variable are both positive.

Therefore, the leading coefficient will also be positive.

So, this means that our graph must curve upwards.

Therefore, our graph must be curving upwards while crossing the points x=1 and x=-4.

So, our answer is D.


Related Questions

Find x and the lengths of sides JM, MN, and JN. Triangle JMN is an isosceles triangle with side JM ≅ side MN. JM = 2x - 5, MN = 3x -9, and JN = x - 2.

Answers

Answer:

x = 4

JM ≅ MN = 3

JN = 2

Step-by-step explanation:

In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN

Given

JM = 2x - 5

MN = 3x -9, and

JN = x - 2.

Since JM≅ MN then;

2x - 5 = 3x-9

Collect like terms;

2x-3x = -9+5

-x = -4

multiply both sides ny -1;

-(-x) = -(-4)

x = 4

For side JM;

JM = 2x-5

JM = 2(4)-5

JM = 8-5

JM = 3

Since JM ≅ side MN, hence;

MN = 3

For side JN;

JN = x-2

JN = 4-2

JN = 2

Answer:

good job

Step-by-step explanation:

1 $40.00 shirt is on a 10% off sale rack, What is the final price of the shirt 8.25%
tax is applicable?

Answers

Answer: 38.97

10% of 40 is 4
40-4=36
8.25% of 36 is 2.97
36+2.97= 38.97

Answer:

$38.97

Step-by-step explanation:

100% - 10% = 90% = 0.9

$40 × 0.9 = $36

100% + 8.25% = 108.25% = 1.0825

$36 × 1.0825 = $38.97

There are between 24 and 40 students in a class,
The ratio of boys to girls is 4:7
How many students are in the class?

Answers

Answer:answer is 387

Step-by-step explanation:ok got it

Answer:

There are 33 students in the class.

Step-by-step explanation:

What is the x-intercept of the line described by the equation? 14x - 8y = 56

Answers

Answer:

The x intercept is (4,0) and the y intercept is (0,-7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The x-intercept of a line is when the y-coordinate is 0. To find that point on this line, we first want to rearrange the equation into the form

[tex]y = mx + b[/tex]

we are given

[tex]14x - 8y = 56\\so, \\14x - 56 = 8y\\\frac{14x}{8} - \frac{56}{8} = \frac{8y}{8} \\y = \frac{7}{4}(x) - 7[/tex]

now, we can set y to 0 and solve

[tex]\frac{7}{4}(x) = 7\\7x = 28\\x = 4[/tex]

The x-intercept is (4, 0)

Dee spends $0.25, $0.30, $0.10 and $0.04.

How much $ does she spend in all?

Answers

answer: $0.69

explanation: 0.25 + 0.30 + 0.10 + 0.04 = 0.69

By adding all the money she spend we get $0.69

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Dee spends $0.25, $0.30, $0.10 and $0.04.

We need to find the money she spend in all.

Therefore, we have to add all the expenditure

0.25 + 0.30 + 0.10 + 0.04 = 0.69

The total money she spend could be 0.69.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Can someone help me with the questions in the picture?

Answers

7. Perpendicular slope : -2
Y = -2x + b
Plug in the point (2, -4)
-4 = -4 + b, b = 0
Equation: y = -2x

8. Perpendicular slope: -2
Y = -2x + b
Plug in the point (-3,5)
5 = 6 + b, b = -1
Equation: y = -2x - 1

9. Perpendicular slope: -3/2
Y = -3/2x + b
Plug in the point (-2, 4)
4 = 6 + b, b = -2
Equation: y = -3/2x - 2

10. Perpendicular slope: 1/2
y = 1/2x + b
Plug in the point (-4, 0)
0 = -2 + b, b= 2
Equation: y= 1/2x + 2

Those are what I got :)

Stefanie swam four-fifths of a lap in the morning and seven-fifteenths of a lap in the evening. How much farther did Stefanie swim in the morning than in the evening?

Answers

Stefanie swam 1/3 further in the morning.
4/5 - 7/15
12/15 - 7/15 = 5/15
5/15 = 1/3

Find the y-intercept of a line that passes through the point (-5,-6) and has a slope of 2.

Answers

Answer:

The y intercept is 4

Step-by-step explanation:

Given:

-Given point: (-5,-6)

-Slope of 2

1) Put the equation into point-slope form y - y1 = m(x - x1)

With the given, we can plug it all in using this formula!

-y1 = -6

-x1 = -5

m = 2

(you would change these negative numbers into positives because the equation shows them being subtracted! remember that two negatives make one positive!)

y+6= 2(x+5)

2) Simplify

y+6= 2(x+5)

y+6=2x+10

y=2x+4

With y=2x+4, set x to 0 because the y intercept is where x is equal to 0 and you get 4!

Researchers collected data on calories per serving for 77 brands of breakfast cereal. The histogram displays the data

30

25-

20

1

Frequency

15

What is the approximate center of this distribution?

The center of the distribution is between 120 and 130

calories.

The center of the distribution is between 90 and 100

calories.

The center of the distribution is between 110 and 120

calories.

The center of the distribution is between 80 and

90 calories.

The center of the distribution is between 130 and 140

calories.

10

-

50 60 70 80 90 100 110 120 130 140 150 160

Calories

Answers

Histogram attached

Answer and explanation:

To find the center of the distribution, we find the mean of the distribution.

Mean= sum of all values/number of values

To calculate the mean of the distribution using the histogram(attached) with given frequencies, we find the mid point of each class and multiply by its frequency to get the sum of the values(estimated) and then divide by the number of values(sum of the frequencies of the classes)

midpoint of 50-60=50+60/2=55

midpoint of 70-80=150/2= 75

midpoint of 80-90=170/2=85

midpoint of 90-100=190/2=95

midpoint of 100-110=210/2=105

Midpoint of 110-120=230/2=115

Midpoint of 120-130=250/2=125

Midpoint of 130-140=270/2=135

Midpoint of 140-150=290/2=145

Midpoint of 150-160=310/2=155

Sum of the values= 55*frequency= 55*3+75* 2+85*1+95*7+105*17+115*29+125*10+

135*2+145*3+155*3

Sum of all values =8605

Number of values= 3+2+1+7+17+29+10+2+3+3=77

Mean= 8605/77= 111.753

Therefore the center of the distribution is between 110 and 120 calories.

You buy 6 items for $25.60. About how much did you spend?
$125
$145
$75
$150

Answers

The answer is 150 because 6 times 25.60 equals 153.6

Answer: About $150.

Explanation: Each item cost $25.60, so I multiplied it into six, equalling about $150.

a person who weighs 120 pounds on earth weighs 20 pounds on the moon. How much does a 93-Ib. person weigh in the moon

Answers

Answer:

15.5 pounds on the moon

Step-by-step explanation:

hope this helps

need brainlyest plz

THANKS!!

Answer:

15.5 lb

20 is a sixth of 120, and 15.5 is a sixth of 93

Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110. In 2013 the mean was 515 and the standard deviation was 116. Gina took the SAT in 1994 and scored 500 on the Math test. Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test. Who did better relative to their peers, and how can you tell? Group of answer choices Colleen—she scored 30 points higher than Gina. Gina—the standard deviation was bigger in 2013. Gina—her standardized score is higher than Colleen’s. Colleen—her standardized score is higher than Gina’s.

Answers

Answer:

Gina—her standardized score is higher than Colleen’s.

Step-by-step explanation:

Until the scale was changed in 1995, SAT scores were based on a scale set many years ago.

We solve this question using z score formula also know as standardized score formula which is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Gina

Gina took the SAT in 1994 and scored 500 on the Math test.

For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110.

x = 500

μ = 470

σ = 110

Hence, the z score is given as:

z = 500 - 470/110

z = 0.27273

Gina's z or standardized score is 0.27273

For Colleen

Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test.

In 2013 the mean was 515 and the standard deviation was 116.

x = 530

μ = 515

σ = 116

Hence, the z score is given as:

z = 530 - 515/116

z = 0.12931

Colleen's z or standardized score is 0.12931

The person who did better relative to their peers is Gina and this is because her standardized score is higher than Colleen’s.

A 3-gallon jug of orange juice costs $10.44. What is the cost of the orange juice per quart?
A.
$1.07
B.
$0.87
C.
$2.06
D.
$0.98

Answers

Answer:

B. $0.87

Step-by-step explanation:

Divide $10.44 by 12 (how many quarts are in 3 gallons) to get the answer.

Deon has $600 in his saving account
•He spends $15 per month on Netflix
•He spends $5 per month in Hulu

If he does not make any more purchases, select all of the months that he can continue to have the subscription before he goes into debt.

Answers

Answer:

30 months total

Step-by-step explanation:

15+5=20

600÷20=30

Choose the correct answer below for the following problem:

(‒489) + (‒764) =



A.
‒1,253
B.
275
C.
1,253
D.
‒275

Answers

Step-by-step explanation Answer:

A -1253

-489-764 = -1253

There are a total of 24 people at Camp Float-Away. If 4 of the people are counselors, what is the ratio of campers to counselors?

Answers

Answer:

5:1

Step-by-step explanation:

Since there are 4 counselors, the other 20 people are campers. You divide 20 by 4 (to determine how many campers equal 1 counselor) and you get 5. So 5:1

Write in simplest form: what is 2^-3 in simplest form

Answers

Answer: 1/8

[tex]2^{-3}=\frac{1}{2^{3} }=\frac{1}{8}[/tex]

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

4/5x - 1/10 = 3/10 what is the value of x​

Answers

Answer:

x=1/2 or 0.5

Step-by-step explanation:

Hope this helps and have a great day :)

what is the point do these equation intersect x+4y=15 and 4x+5y=16

Answers

The intersection point is at (-1,4). Hope this helps!

Write an equation of the line shown. Then use the equation to find the value of x when y=150

Answers

Answer:

Step-by-step explanation:

x = 12

Step-by-step explanation:

The slope-intercept form formula, , can be used to write an equation for the line.

Where,

m = slope =  

b = y-intercept, which is the point at which the line intercepts the y-axis. At this point, x = 0.

Let's find the slope (m) using the coordinates of the two points given, (0, 30), (3, 60).

Let,

y-intercept of the line, b = 30

Equation for the line would be:

Using the equation, find x when y = 150.

Simply substitute the value for y in the equation to find x.

Subtract 30 from both sides

Divide both sides by 10

x = 12

The answer is X=12
This should help.
Plz mark mine brainiest

Rick owns a rectangular lot that is 52.3 m long and 85.62 m wide. How many
meters of fencing material does he need?

Answers

Answer:

he needs about 137.92 I guess

5x+4=2(x+2)
please help me i tried it and i got it wrong I got 2/5

Answers

Answer: x= 0

Step-by-step explanation:

5x + 4 = 2(x + 2)       First distribute on the right side  of the equation

5x + 4 = 2x + 4         Subtract 2x from both sides

-2x          -2x

     3x + 4  =  4        Subtract 4 from both sides

          -4         -4

    3x = 0      Divide both side by 3

     x = 0

A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?

Answers

10/6 feet per second
10/6 * 45 = 75 feet

x^2 − 15 = 1 please help

Answers

Answer:

x^2-15=1

x^2=16

4 x 4 = 16

THerefore...

x=4

Depending on how many choices there are -4 is also correct.

Any number squared is a positive.

x=4, x=-4

Step-by-step explanation:

Question #1 Find the unit rate if the graph below
A
150
135
120
105
90
75
Toys
60
45
30
15
3 6 9 12 15 18 21 24 27 30
Cartons

Answers

Answer:

The unit rate is 5 toy per carton on the graph

Simplify the expression.
Can someone explain to me how to get the answer? Thanks!

Answers

Answer:

11x^2+2x+9

Step-by-step explanation:

2+(2+6)⋅x^2+2x+3x^2+7

2+(8)⋅x^2+2x+3x^2+7

2+8x^2+2x+3x^2+7

9+8x^2+2x+3x^2

9+8x^2+2x+3x^2

11x^2+2x+9

i need help with this ​

Answers

Answer:

1st - Yes ; 2nd - Yes ; 3rd - Yes ; 4th - No

Step-by-step explanation:

A number times 7 is at least the number plus 6.6.
Write the inequality.

Answers

Answer:

7x ≥ x + 6

A number signifies x.

Replace "a number" with x and then write out the inequality.

Which expression represents a quadratic expression in standard form? *
5x-4
-21-x^2
-15+2x-x^2
x^2-2x-63

Answers

Don’t know shush shush

The cost of Ken's car wash was $24.00. If he wants to give his detailer a 15% tip, about how much of a tip should he leave?

Answers

Answer is 3.6

Hope this helps
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