All categories

3 years ago

PLEASE HELP ASAP

Mathematics

1 answer:

JulijaS [17]3 years ago

3 0

View the attached photo.

The quadratic function, y = x2, has an x-intercept at the origin = TRUE

The quadratic function, y = x2 + 3, has an x-intercept at the origin = FALSE

From x = -2 to x = 0, the average rate of change for both functions is positive = FALSE

When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.

From x = -2 to x = 0, the average rate of change for both functions is negative = TRUE

Both are declining if you read the graph from left to right.

For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. = FALSE

y = x^2
If we insert 2 into y = x^2 we get y = 4 but our point (2,3) has y = 3

For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function. = TRUE

If we insert 2 for x, we see that y = x^2 + 3 = y = 2^2 + 3 = y = 7 and our y value in the point (2,7) is 7.

You might be interested in

FiftyFifty adult men in the United States are randomly selected and measured for their body mass index (BMI). Based on that sa

Fynjy0 [20]

Answer: $(23.3,\ 29.7)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\pm ME.$ , where $\overline{x}$ is the sample mean and ME is the margin of error .

Given : The sample mean : $\overline{x}=26.5$

Margin of error : $ME=3.2$

Then , the range of values (confidence interval) likely to contain the true value of the population parameter will be :-

$26.5\pm 3.2=(26.5-3.2,\ 26.5+3.2)=(23.3,\ 29.7)$

Hence, the range of values likely to contain the true value of the population parameter = $(23.3,\ 29.7)$

3 0

3 years ago

Read 2 more answers

A colony of bacteria doubles every minute. If

enyata [817]

Answer: 720

Step-by-step explanation:do 120 plus 120 plus 120 plus 120 plus 120 plus 120

4 0

3 years ago

The values of a, b and c for the equation 8x2 - 2x = 1 are:

meriva

Answer:

The values are B

a= 8,b = -2 c= -1

7 0

3 years ago

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

3 years ago

A mixture of 17 %disinfectant solution is to be made from 10% and 20% disinfectant solution. How much of each solution should be

8090 [49]

Since 20 total gallons are needed, the amount of 10% solutions can be x and the amount of 20% solutions can be (20-x) since they add up to 20. In addition, the 17% solution has 20 gallons. Putting this into an equation, we get that 10% is 0.1 (by moving the decimal 2 spots to the left) , 0.2=20%, and 0.17=17%. With that information, we can determine that 10%*x+20%*(20-x)=20*0.17 due to that with 20 gallons of the 27% solution, we need a certain amount of solution. For every gallon, we add 0.17 of the solution, so we have 20*0.17. Similarly, we want that total amount to be represented by the amount of 20% + the amount of 10%.

0.1x+0.2(20-x)=0.1x+4-0.2x=-0.1x+4 using the distributive property
-0.1x+4=20*0.17=3.4. Subtract 4 from both sides to get -0.1x=-0.6, and multiply both sides by -10 (to separate x) to get x=6. Therefore, the amount of 10% solution is 6 gallons and the amount of 20% solution is 20-5=14 gallons

3 0

3 years ago