Answer:
When x = -3 y = -1
When x = -3/4 y = 7/2
Step-by-step explanation:
y = 4x^2 + 17x + 14
y = 2x + 5
Set each equation equal to each other
4x^2 + 17x + 14 = 2x + 5
Subtract 2x from each side
4x^2 + 17x-2x + 14 = 2x-2x + 5
4x^2 + 15x + 14 = 5
Subtract 5 from each side
4x^2 + 15x + 14-5 = 5-5
4x^2 + 15x +9 = 0
Factor
(4x+3) ( x+3) =0
Using the zero product property
4x+3 =0 x+3 =0
4x = -3 x=-3
x = -3/4 x=-3
Now we need to find y for each x
x =-3 y = 2x+5 =2(-3)+5 = -6+5 = -1
When x = -3 y = -1
x = -3/4 y = 2(-3/4) +5 = -3/2 +5 = 7/2
When x = -3/4 y = 7/2
Write the equation of the line that contains the given point and has the given slope.
(–8, –8), slope is 3
Answer:
y - 8 = 3(x - 8)
Step-by-step explanation:
Point-Slope Form: y + y₁ = m(x + x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step 1: Define
Point (-8, -8)
Slope m = 3
Step 2: Write in point-slope form
y - 8 = 3(x - 8)
In which interval is the median?
A sample of 50 students was surveyed about their time
spent in front of a screen (laptop, tablet, phone, etc.).
Each interval contains the left endpoint but not the
right endpoint.
[4,5)
[5,6)
[6,7)
[7,8)
Hours of Screen Time per Day
10
B
Frequency
2
6
8
10 12
Answer:
B is correct! Took the quiz 2021 <3. Yall b safe!
Step-by-step explanation:
what is the value of r in the equation r+6=14?
Answer:
r = 8
Step-by-step explanation:
Given
r + 6 = 14 ( subtract 6 from both sides )
r = 8
Enter the correct answer in the box by replacing the values of m and b.
Answer:
f(x) = -2x + 5 Plato
Step-by-step explanation:
15 POINTS!!!HELP!! JUST TELL ME THE FORMULA I NEED TO USE !!!
Answer: No.
Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(
The double number line shows the approximate number of ounces in a certain number of pounds:
Based on the number line, about how many ounces are there in 10 pounds?
Group of answer choices
144 ounces
160 ounces
176 ounces
192 ounces
Answer:
B- 160
Step-by-Step Explanation:
I did it before and I was rite, so trust me
Answer:
B 160
Step-by-step explanation:
6 = m - 16
a) m = 20
b) m = 24
c) m = 22
d) m = 21
Answer:
c
Step-by-step explanation:
Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)
Answer:
[tex]43.1 ^{\circ}F[/tex]
Step-by-step explanation:
Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.
So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].
If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,
[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]
The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].
At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is
\Delta h =4000-0=4000 feet
Now, from equation (i), the temperature drop
[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]
Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].
HELP!! please explain how you got the answer too.
Determine whether cach point lies on the graph of the line y = 4.6x -7.
H(0, -7)
Answer:
Point H does lie on the graph y = 4.6x - 7
Step-by-step explanation:
Step 1: Define
y = 4.6x - 7
H(0, -7)
Step 2: Substitute, Evaluate, and Check
-7 = 4.6(0) - 7
-7 = 0 - 7
-7 = -7
Answer:
H(0,-7) does lie on the graph of line y = 4.6x - 7
Step-by-step explanation:
All you have to do is simply plug in the x and y values.
From the point H (0,-7) we can say that
x = 0
y = -7
Now just plug it into the equation.
y = 4.6x - 7
(-7) = 4.6(0) - 7
-7 = -7
Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.
PLS ANSWER HELP
Thanks
PLEASE HELP ME! I am not sure how to answer this question.
Answer:
yes
Step-by-step explanation:
the diagnols are congruent meaning that the diagnol lines in the middle are the same length. So theoretically the left and right lengths are the same, and the top and bottom lengths are the same. The triagles named both have the same base and they're hieght is sbviouysly the same so they would be SSS each of the sides on one triangle coresspondes to the other.
3/4 change 3/4 to a decimal show work
Answer:
0.75
Step-by-step explanation:
You just need to convert 3/4 into a decimal.
For example: If you get 3 out of 4 problems right on a quiz, in percent form it will be a 75%, in decimal form 0.75 because you'll move the percent sign 2 spaces to the left. That will then be a decimal if you're converting 75% to 0.75.
3 divided by 4 is also going to give you 0.75. Because, a "fraction slash" is the dividing point. So,
3/4 = 0.75
2) If 20 workers can build a house in 45 days, how many more workers are needed
to complete it in 30 days?
А
6
B
15
С
10
D
18
Answer:
B
Step-by-step explanation:
3x-100 what does x equal?
A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.
Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]
Students at the college are allowed to work on campus
no more than 20 hours per week. The jobs that are
available pay different rates, starting from $8.75 an hour.
Students can earn a maximum of $320 per week.
Write at least two inequalities that could represent the
constraints in this situation.
Answer: theres a website called weegy did you try that?
HAVING BAD DAY
Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
In terms of t, how long did Stanley bike yesterday?
Answer:
16
Step-by-step explanation:
(2(t3+0.5))=16(2t3+t1)
Answer:
1+2*t
Step-by-step explanation:
I checked it and it seemed right. I think it is. Test it and tell me if wrong. if it is wrong I WILL EDIT THIS
which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
Answer:
Let x be that number.
[tex] - 8 \div (x + 3)[/tex]
The quotient is the result of dividing a number by another. In this case, the numbers are - 8 and x + 3.
How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,
The lines KL and MN perpendicular to each other.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
If a line passes through two points, then the slope of the line is
m = y2-y1/x2-x1
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
m = 0
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
m = 1/0
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other.
Therefore the lines KL and MN perpendicular to each other.
To learn more on slope click:
brainly.com/question/3605446
#SPJ7
how to factorise 15x-10x^3
help me pleaseeeeeeeeeeeeeeeeeeeeeee
John buys two ties that each cost $19.99 he also buys a pair of dress pants that were originally $64 but a discounted by 30% more over he has a coupon for $10 off a purchase of $50 or more purchase finally sales tax is 6% in his state how much did John pay for the ties and pants
Answer:
Cost of ties and pants = $52.5
Step-by-step explanation:
Total cost of ties = $19.99
cost of dress pants = $64, discountted by 30%
discount on dress pants = 30% of 64 = 0.3 × 64 = $19.2
∴ Discounted price of dress pants = 64 - 19.2 = $44.8
Total cost of ties and dress pants = 19.99 + 44.8 = $64.79
Now, let us apply the coupon
coupon = $10 off every purchase of $50 or more
Purchase amount = $64.79 ; therefore coupon applies.
Applying coupon
Purchase amount = 64.79 - 10 = $54.79
sale tax = 6% or purchase price
sale tax = 6% × 54.79
sale tax = 0.06 × 54.79 = $3.29
∴ Final cost of ties and dress pants = 54.79 - 3.29 = $52.5
A restaurant coffee pot holds 3 gallons of coffee. The pot has been filled with 2 gallons of coffee. If the variable c stands for the amount of additional coffee the pot can hold, which of the following units could apply to that variable?
A. yards
B. pounds
C. gallons
D. bushels
C
Because your weight system is gallons in the rest of the question :)
Answer:
gallons
Step-by-step explanation:
What’s the correct mathematical expression for 2 groups of z
Answer:
2z = 2 groups of z
Which expression is equal to 527.471?*
(5x100)+(2x10)+(7x1)+(4x10) + (7x100)+ (1x1,000)
(5x100,000)+(2x10,000)+(7x1,000)+(4x100) + (7x10)+ (1x1)
(5x100)+(2x10)+(7x1)+(4x1/1) + (7x1/10)+ (1x1/100)
(5x100)+(2x10)+(7x1)+(4x1/10) + (7x1/100)+ (1x1/1,000)
Answer:
Step-by-step explanation:
527.471 =(5 ×100.000) +(2 ×10.000) +(7 ×1.000) +(4 ×100) +(7 ×10) +(1×1)
Answer:
500029301.171
Step-by-step explanation:
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. All together, they sold items 486that totaled .$2,673a.If the chess club sold each item for the same price, calculate the price of each item.
Answer:
$5.50
Step-by-step explanation:
L.B Johnson middle school held a track and field event
The chess club sold different drinks and snack item for both the audience and participants
They sold 486 items at a total of $2,673
Therefore the price of each item can be calculated as follows
= 2673/486
= 5.50
Hence the price of each item is $5.50
22+54=y+16 whats the answer
Answer:
y=60 or 60=y
Step-by-step explanation:
22+54= 76
76=y+16
60=y or the other way around
Apply a 90 degree rotation to the point (1, 2)
Answer:
(-1,2)
Step-by-step explanation:
90 degree rotation from (a,b) is (-a,b)
Alex bought 2 1/4 pounds of M&Ms and 1.6 pounds of gummy worms. If the M&Ms cost $2 per pound, and the gummy worms cost $ $2.75 per pound, how much did he spend?
Answer:
Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.
Step-by-step explanation:
2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).
$2.75 (1.6) = $4.40
$4.50 + $4.40 = $8.90
How is quadrilateral ABCD related to quadrilateral A'B'C'D' shown below?
Answer:
i think its a
Step-by-step explanation: