Answer:
the firstn one
Step-by-step explanation:
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.
Write in simplest form: what is 2^-3 in simplest form
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:
Choose the correct answer below for the following problem:
(‒489) + (‒764) =
A.
‒1,253
B.
275
C.
1,253
D.
‒275
Step-by-step explanation Answer:
A -1253
-489-764 = -1253
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.
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.
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.
Answer:
30 months total
Step-by-step explanation:
15+5=20
600÷20=30
i need help with this
Answer:
1st - Yes ; 2nd - Yes ; 3rd - Yes ; 4th - No
Step-by-step explanation:
A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
A number times 7 is at least the number plus 6.6.
Write the inequality.
Answer:
7x ≥ x + 6
A number signifies x.
Replace "a number" with x and then write out the inequality.
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?
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
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
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
what is the point do these equation intersect x+4y=15 and 4x+5y=16
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.
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:
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?
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?
Answer:
he needs about 137.92 I guess
Simplify the expression.
Can someone explain to me how to get the answer? Thanks!
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
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
Answer:
The unit rate is 5 toy per carton on the graph
x^2 − 15 = 1 please help
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:
Write an equation of the line shown. Then use the equation to find the value of x when y=150
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
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
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.
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?
Answer:answer is 387
Step-by-step explanation:ok got it
Answer:
There are 33 students in the class.
Step-by-step explanation:
Can someone help me with the questions in the picture?
What is the x-intercept of the line described by the equation? 14x - 8y = 56
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)
Find the y-intercept of a line that passes through the point (-5,-6) and has a slope of 2.
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!
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
Answer:
B. $0.87
Step-by-step explanation:
Divide $10.44 by 12 (how many quarts are in 3 gallons) to get the answer.
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?
Which expression represents a quadratic expression in standard form? *
5x-4
-21-x^2
-15+2x-x^2
x^2-2x-63
You buy 6 items for $25.60. About how much did you spend?
$125
$145
$75
$150
Answer: About $150.
Explanation: Each item cost $25.60, so I multiplied it into six, equalling about $150.
4/5x - 1/10 = 3/10 what is the value of x
Answer:
x=1/2 or 0.5
Step-by-step explanation:
Hope this helps and have a great day :)1 $40.00 shirt is on a 10% off sale rack, What is the final price of the shirt 8.25%
tax is applicable?
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
5x+4=2(x+2)
please help me i tried it and i got it wrong I got 2/5
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
Dee spends $0.25, $0.30, $0.10 and $0.04.
How much $ does she spend in all?
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
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