Solve the inequality below.
4(x + 3) < 6x – 2
Answer:
X > 7
Step-by-step explanation:
4(x + 3) < 6x – 2
4x + 12 < 6x -2
-6x -6x
-2x + 12 < -2
-12 -12
-2x < -14
----- -----
-2 -2
x > 7
The < change because it was divided by a negative number
Which equation represents a line that passes through the 2 points in the table
Answer:
A
Step-by-step explanation:
I took the test
find the x and why intercepts of the graph of the equation x + 2y = 10
NEED HELP ASAP
Answer:
Step-by-step explanation:
To find the x-intercept and y-intercept of the equation we need to understand what is an intercept. Intercept means to intersect/cut so x-intercept means the equation cuts the x-axis and y-intercept means the equation cuts the y-axis.
So if the equation cuts the x-axis the coordinate should be [tex](x,0)[/tex] and if the equation cuts the y-axis the coordinate should be [tex](0,y)[/tex] , and since the equation satisfies these both points in other words these two points lie on the line they can be put into the equation. So here we go,
For x-intercept
[tex]x+2y=10\\x+2(0)=10\\x=10[/tex]
so the x-intercept is (10,0)
For y-intercept
[tex]x+2y=10\\0+2y=10\\2y=10\\y=10/2\\y=5[/tex]
so the y-intercept is (0,5)
I also have attached an example of how intercepts looks like you can take a look i plotted the graph an you can see our answers check out.
The arithmetic mean of three consecutive even integers is 20. Which equation could be used to find the integers? A) x(x + 2)(x + 4) = 20 B) x + 2x + 4x 3 = 20 C) x(x + 2)(x + 4) 3 = 20 D) x + (x + 2) + ( x + 4) ] = 20 E) x + (x + 2) + ( x + 4) 3 = 20
Given:
The arithmetic mean of three consecutive even integers is 20.
To find:
The equation that can be used to find the integers.
Solution:
Let the three consecutive even integers are x, x+2 and x+4.
We know that,
[tex]\tex{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
The arithmetic mean of three consecutive even integers is:
[tex]\tex{Mean}=\dfrac{x+(x+2)+(x+4)}{3}[/tex]
It is given that, mean = 20. So,
[tex]\dfrac{x+(x+2)+(x+4)}{3}=20[/tex]
Therefore, the correct option is E.
Given g(x)=-5x+2,find g(4)
Answer: -18
Step-by-step explanation:
There are two classrooms available for the upcoming debate tournament. Room A has a capacity of 28 and room B has a capacity of 35. If
there are 253 students participating in the tournament write an inequality to represent how many possible sessions there would have to
be, given that both rooms could be used at once? Let a represent room A and b represent room B.
Answer:
first one
Step-by-step explanation:
A sweater us on sale for $16, which is 80% of the original price. What is the original price of the sweater?
Answer:
$28.80
Step-by-step explanation:
16 times 0.8 = 12.8 + 16 = 28.80
Professor Florido is studying a new hybrid watermelon. She knows that a watermelon seed has probability 0.88 of germinating. She decides to plant 5 seeds. (a) What is the probability that exactly 2 seeds will germinate? ( Round to 4 decimals) (b) What is the probability that at most 3 seeds will germinate? ( Round to 4 decimals)
e-2=13 pls someone help me
Answer: E=15
Step-by-step explanation: If you add 13 and 2 it adds up to 15, so E would have to be 15
Answer:
15
Step-by-step explanation:
to solve this you would need to add 13 and 2 since it's inverse operation of subtraction which would give you 15 since 15-2=13
What is the graph of the line 4x + 2y = 6?
Answer:
here you go, this is your answer
Find the equation of the line that is parallel to the given line and passes through the given point. y=-5x+7;(7,0)
Answer:
y = -5x + 35.
Step-by-step explanation:
y = -5x + 7
The slope for that y = -5x+7 is -5. Parallel lines have the same slopes which means the line parallel to that one will also have a slope of -5.
So now let's use the slope intercept form to create the equation that is parallel to the above equation.
y = mx + b
Since slope (m) is -5, we can plug it into the equation.
y = -5x + b
Now let's use the point (7,0) to find the y-intercept (b). We can do that by plugging the numbers in (7 for x and 0 for y).
y = -5x + b
0 = -5(7) + b
0 = -35 + b
b = 35
Now let's plug the y-intercept back into the equation.
y = -5x + 35
Therefore, the equation is y = -5x + 35.
Hope this helped! If not, please let me know! <3
What is the measure of ∠RQS ?
What is the measure of ∠RQT ?
What is the measure of ∠RQV ?
What is the measure of ∠UQV ?
Answer:
∠RQS = 19°
∠RQT = 90°
∠RQV = 161°
∠UQV = 91°
Step-by-step explanation:
To get ∠RQV, you know that the line is equal to 180°, so subtract 19° from it:
∠RQV = 180 - 19
∠RQV = 161°
To get ∠UQV, you know that the line is equal to 180°, so subtract 71° and 18° from it:
∠UQV = 180 - 71 - 18
∠UQV = 91°
Hope this helps!
Lisa went to the hardware store and bought 12 pieces rope. Each rope was 3/4 of a meter long. If the rope cost $3.50 a meter, how much did she spend?
Answer:
(B) 31.5
Step-by-step explanation:
Casey spent half of his weekly allowance on pokemon cards. to earn more money his parents let him wash the car for $7. what is his weekly allowance if he ended with $17.
y varies directly as x. if x = 10 when y = 40, find x when y = 200.
Answer:
x = 50
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition
x = 10 when y = 40, then
40 = 10k ( divide both sides by 4 )
4 = k
y = 4x ← equation of variation
When y = 200, then
200 = 4x ( divide both sides by 4 )
50 = x
· Evaluate f(2a + b), where f(x) = 4x2 – 3x.
Answer:
2af+bf = 2af+bf
Step-by-step explanation
f(x) = 4x2 – 3x. = x(4x−3)
4x+1=x-5 slove for x
Answer:
x = −2
Step-by-step explanation:
4x + 1 = x − 5
Subtract 1 from both sides
4x + 1 − 1 = x − 5 − 1
Simplify
4x = x − 6
Subtract x from both sides
4x −x = x − 6 − x
Simplify
3x = −6
Divide both sides by 3
[tex]{\frac{3x}{3}[/tex]=[tex]\frac{-6}{3}[/tex]
Simplify
x = −2
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answer:
Reflection across the x-axis
Step-by-step explanation:
What is an unsecured line of credit? A. A line of credit which does not require collateral. B. A line of credit with a variable interest rate. C. A line of credit offered by an institution other than a bank, such as a department store. D. A line of credit offered to an individual with no credit history.
Answer:
A
Step-by-step explanation:
Answer:
a.
A line of credit which does not require collateral.
Step-by-step explanation:
Sam travel 20 miles in three hours. Sam walked part of the distance at a speed of 4 mph. Sam rode his bicycle for the remaining distance at a speed of 12 mph. How many hours did Sam spend walking? How many hours did Sam spend biking?
Answer:
Sam sokey 0.5 hours biking and 3.5 hours walking
Step-by-step explanation:
Here, we want to know the number of hours spent walking and biking
Mathematically; distance = speed * time
Let the number of hours spent walking be x and the number of hours spent biking be y
Mathematically;
x + y = 3 •••(i)
distance spent walking = 4 * x = 4x miles
distance spent biking = 12 * y = 12y miles
4x + 12y = 20
divide through by 2
2x + 6y = 10 ••••••(ii)
From i , x = 4-y
Substitute this into ii
2(4-y) + 6y = 10
8 - 2y + 6y = 10
8 + 4y = 10
4y = 10-8
4y = 2
y = 2/4 = 0.5 hours
The number of hours spent walking = 4-0.5 = 3.5 hours
A puppy named Boots started out at 4 pounds and gained 3 pounds every month. At how
many months did Boots weigh 25 pounds?
Answer: 7 months
Step-by-step explanation:
He started at 4 pounds so if he grew 3 pounds every month, it would take 7 months to grow 21 pounds. 21 pounds plus 4 pounds is 25 pounds.
Answer:
7 months
Step-by-step explanation:
3 times 7 is 21 than you add the original 4 and get 25 so therefore the answer is 7 months
Can someone translate this graph to me? It’s supposed to tell me how much dirt is in cubic yards
Please help me with this problem
Answer: D) [tex]m \angle 2 = m\angle 5[/tex]
================================================
Explanation:
Let's go through the answer choices to see what's true and what's false.
A) This is true because they are corresponding angles. Corresponding angles are congruent when we have parallel lines.B) This is true as well. The reasoning is the same as choice A.C) These angles are vertical, so they are congruent angles. This is true.D) This is false. The angles are supplementary. They would only be congruent if both angles were 90 degrees; otherwise, they aren't congruent.After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.M., what time did he leave his house?
The time Nate left his house is 8 : 40 am
After leaving his house, Nate drove 15 minutes to take his oldest daughter to the middle school . Therefore,
Time spent to middle schoolt = 15 minutesThen he drove ten minutes to take his two younger daughters to the elementary school. Therefore,
Time spent to elementary schoolt = 10 minutesHe drove twenty-five minutes to work. Therefore,
Time spent to workt = 25 minutesHe arrived at work at 9:30 am. The time he left home can be calculated as follows:
Total time spent on the road = 15 + 10 + 25 = 50 minutes
Therefore,
Time he left home = 9:30 - 50 = 8 : 40 am
learn more on time here: https://brainly.com/question/25923001?referrer=searchResults
Ignore a and b but can you help with c and d? Plz I’ll mark you as a brainiest
C: 2x+20=60
2x=40
x=20
D: 3x+10=100
3x=90
x=30
Simplify: 3.32 +8+2 - (4 + 3)
Answer:
6.32
Step-by-step explanation:
Answer: 6.32
Step-by-step explanation:
i feel bad for asking a longer question but i'm really in need of help to finish my test review its a big grade and i'm struggling on this problem
Find the solution set of the inequality
52−3x<−14.
Step-by-step explanation:
52 + 14 < 3x
66 < 3x
66/3 < x
22 < x
Answer:
x > 22
Step-by-step explanation:
52- 3x<-14
-3x < -14 -52
-3x < -66
x > 22
4.1 times 3.14 times two
Answer:
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF and OPQ congruent through SAS? Explain your answer.
Step-by-step explanation:
can you help me?
Answer:
25.748
Step-by-step explanation:
If you multiply 4.1 by 3.14, your answer comes out to 12.874. Multiply that by 2 and you get your answer of 25.748. Hope this helps.
40/12 to a mixed fraction ?
Answer:
3 1/3
Step-by-step explanation:
40/12
12*3 = 36
40-36 = 4 so there is 4 left over which goes over the denominator
3 4/12
Simplify
3 1/3