Which number line shows all the values of x that make the inequality -3x + 1 < 7 true

Answer:

6) 152.6

7) 348.4

Step-by-step explanation:

For question number 6, calculate the surface area of the two triangles first. And then, calculate each of the surface area for the rectangles. Finally, total up the area of the two triangles and the rectangles.

[tex](6.6 \times 9) + (4 \times 9) + (5.2 \times 9) \times (\frac{1}{2} \times 5.2 \times 4) = 152.6[/tex]

For question number 7, given that the area of a triangle is 28.4. Hence calculate the area of the three rectangles. Lastly, total up the area of two triangles and three rectangles.

[tex]28.4 + 28.4 + 3(12 \times 8.1) = 348.4[/tex]

Hope this helps =)

Answer:

[tex] \dfrac{a}{a - 4} [/tex]

Step-by-step explanation:

You are subtracting fractions, so as usual with fraction subtraction, you need a common denominator. To get a common denominator, you need to factor each denominator.

[tex] \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{a^2 - 16} = [/tex]

Factor the right denominator. It is a difference of two squares.

[tex] = \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]

The left denominator is (a + 4). The right denominator is (a - 4)(a + 4). The LCD is (a - 4)(a + 4), so multiply the left fraction by (a - 4)/(a - 4).

[tex] = \dfrac{3a}{a + 4} \times \dfrac{a - 4}{a - 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]

[tex] = \dfrac{3a^2 - 12a}{(a - 4)(a + 4)} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]

Be careful when you do the subtraction of the numerators, 3a² - 12a minus 2a² - 16a. 3a² - 12a - (2a² - 16a). The minus of the subtraction changes each sign inside the parentheses, so you end up with 3a² - 12a - 2a² + 16a. Be especially careful with the +16a.

[tex] = \dfrac{3a^2 - 12a - (2a^2 - 16a)}{(a - 4)(a + 4)} [/tex]

[tex] = \dfrac{3a^2 - 12a - 2a^2 + 16a}{(a - 4)(a + 4)} [/tex]

[tex] = \dfrac{a^2 + 4a}{(a - 4)(a + 4)} [/tex]

[tex] = \dfrac{a(a + 4)}{(a - 4)(a + 4)} [/tex]

[tex] = \dfrac{a}{a - 4} [/tex]

Answer:

Multiply both sides by 3

Step-by-step explanation:

x/3 = 5

x/3 × 3 = 5×3

x = 15

Answer:

multipy both sides  by 3

Step-by-step explanation:

Step-by-step explanation:

domain is all real numbers since its quadratic: (-infinity, infinity)

Range is from -6 to positive infinity or [-6, infinity)

Answer:

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number. Swapping left and right hand.JUST FOLLOW THE TEXT TO GET THE ANSWER OF THE INEQUALITY ×>5

Answer:

The transformation will be 5

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

5x^2 + 55x + 140  ---> required

Coefficients a=5, b=55, c=140 yield

[tex]h=\frac{-h}{2*a} =\frac{-(55)}{2*5} =\frac{-55}{10} =-5.5[/tex]

Thus, the x-coordinate of the vertex is [tex]\boxed{h = -5.5 }[/tex]

Plugging x=-5.5 into the given equation yields:

[tex]k=5*(-5.5)^{2} +55*-5.5+140=-11.25[/tex]

Thus, the y-coordinate of the vertex is [tex]\boxed{k = -11.25 }[/tex]

Altogether, the vertex of the given parabola is

[tex]\boxed{ (h,k)=(-5.5,-11.25) }[/tex]

Plugging (h,k)=(−5.5,−11.25) into the vertex formula

[tex]\boxed{ y=(x-h)^2+k }[/tex]

yields the vertex form of the parabola

[tex]\boxed{ y=(x+5.5)^2-11.25 }[/tex]

have a government

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Step-by-step explanation:

yan napo lahat answer

Here is your Answer:

3/4

Option A

Hope it helps.

Do comment if you have any query.

Answer:

g(x)=(-x²-4)

Step-by-step explanation:

[tex] - {x}^{2} - 4 \: is \: th \: requied \: equation[/tex]

Answer:

z = -1.5

Step-by-step explanation:

To Find z-score

Given

Solving

Answer:

336

Step-by-step explanation:

V=whl=8·7·6=336

Answer:

a. 0.8727rad

b. 5.585rad

that should be correct, if not, i apologize T_T

Answer:

962

Step-by-step explanation:

MMM for step by step its kinda just plug and check

962/3 = 320 R2

962/6 = 160 R2

962/8 = 120 R2

962/10 = 96 R2

962/12 = 80 R2

and finally 962/13 = 74

Answer:

1.91 ft

Step-by-step explanation:

Formula

where :

Solving for r

Answer:

637

Step-by-step explanation:

rectangle =

12*16*2 = 384

triangle = 12*16/2

= 96

semi circle = pie*hyp^2/2

= pie * (sqrt(12^2+16^2))^2/2

=157

Answer:

C. No, because the sides aren't congruent

Step-by-step explanation:

The degree of a polynomial is categorized by its highest power of its leading variable.

Given the following polynomial functions, we are to classify them based on their degrees and the number of terms

For the polynomial function 5x^4 - 7x + 9

The degree is 4 being quartic and there are three terms in the expression

For the polynomial  2x3 + 3 < 3, the degree is 3 (cubic) with three terms in the expression.

For a Quintic quadnomial​, the degree of the polynomial is 5.

Learn more on polynomials here: https://brainly.com/question/4142886

Answer:

t = 2.4n

Step-by-step explanation:

y = mx + c

t = mn + c

c = y-intercept (where the graph line crosses the cost line)

c = 0

mx/mn= gradient ( rise/run, up/across)

mn= 12/5 ( you could have picked any point in the graph )

mn= 2.4

the m is unnecessary now so we discard it

t = 2.4n + 0

Answer:

4(5x-2)= 6(x+8)

20x-8=6x+48

20x-6x=48+8

14x=56

[tex]x = \frac{56}{14} [/tex]

x=4

Step-by-step explanation:

hope this helps you!!

XXITSCHOCOLOVERXX

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{5x-2}{6}=\frac{x+8}{4} < == cross\ multiply\\\\4(5x-2)=6(x+8) < ==distribute\\\\4(5x)+4(-2)=6(x)+6(8)\\\\20x-8=6x+48 < ==subtract\ 6x\ from\ both\ sides\\-6x\ \ \ \ -6x\\\\14x-8=48 < == add\ 8\ to\both\ sides\\\ \ \ +8 \ \ \ \ \ \ \ +8\\\\14x=56 < ==divide\ both\ sides\ by\ 14\\/14 \ \ \ /14\\\\x=4 < ==final\ answer[/tex]

Check your answer:

[tex]\frac{5x-2}{6}=\frac{x+8}{4}\\\\\frac{5(4)-2}{6}=\frac{4+8}{4}\\\\\frac{20-2}{6}=\frac{12}{4}\\\\\frac{18}{6}=\frac{12}{4}\\\\3=3[/tex]

This statement is correct

Hope this helps!

Answer:

Solution: UP

The angle measure of the minor arc JL equals 82°.

An arc of a circle is defined as the part of the boundary of a circle. The straight line drawn joining the two end points of the arc is called chord of the circle.

If we mark any two points on the circle, by joining those points along the circle, we get two arcs. The smaller arc is called the minor arc and the longer arc is called the major arc. If the length of the arc exactly equals the half length of the circle, then the arc is called semicircular arc.

An arc can be measured in two ways : By finding the measure of the angle of arc and finding the length of the arc.

Here we are asked to find the measure of the minor arc which is the measure of the angle of the arc JL.

Measure of the angle of the arc equals the angle formed at the center of the circle by joining the end points of the arc to the center of the circle.

We have ∠JKL = 82°

∴ measure of arc JL = 82°

Hence, the measure of the minor arc JL equals 82°.

To learn more about Arc of the Circle, click:

https://brainly.com/question/18741430

#SPJ2

Answer:

Top right (one what has 16cm^2 and 9cm^2)

Step-by-step explanation:

The one in the top right and even though I cannot see what the area is of the biggest square, I can tell what it should be the two smaller squares combined

Hope this helps :)

Answer:

Step-by-step explanation:

[tex]\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\ \\\\~~~~~~~=\dfrac{3}{\sqrt{3^2 +2^2}}~~~~~~~;[\text{Pythagorean theorem.}]\\\\\\~~~~~~~=\dfrac{3}{\sqrt{9+4}}\\\\\\~~~~~~~=\dfrac{3}{\sqrt{13}}[/tex]

Using the normal distribution and the central limit theorem, it is found that the probability is given by:

e. 0.611

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 50, \sigma = 10, n = 9, s = \frac{10}{\sqrt{9}} = 3.3333[/tex]

The probability that this sample mean will be between 48 and 54 is the p-value of Z when X = 54 subtracted by the p-value of Z when X = 48, hence:

X = 54:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{54 - 50}{3.3333}[/tex]

Z = 1.2

Z = 1.2 has a p-value of 0.885.

X = 48:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{48 - 50}{3.3333}[/tex]

Z = -0.6

Z = -0.6 has a p-value of 0.274.

0.885 - 0.274 = 0.611, hence option e is correct.

More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Answer:

24 gallons per hour

Step-by-step explanation:

Connor filled his 150-gallon pool with water in 6.25, to find out how many gallons per hour he used, we have to divide the amount of gallons into every hour. Therefore:

150/6.25

24 gallons per hour.

the domain is

[tex]x \geqslant - 6[/tex]